Phillip deposited $5,670 into a savings account 19 years ago. The account has an interest rate of 4.1% and the balance is currently $12,356.04. How often does the
interest compound?

Answers

Answer 1

Answer:

$12165.97

Step-by-step explanation:

100 + 4.1 = 104.1%

104.1% = 1.041

$5670 x 1.041^19 = $12165.97

Answer 2

Answer:

daily

Step-by-step explanation:

To answer this try plugging in each type of compund: daily, monthly, quarterly, and annually.

5670(1+0.041/365)^(365*19)

= 12356.04

365= daily

so your answer would be that the interest compounds daily.


Related Questions

Find the m∠RLU. A. 20 B. 42 C. 84 D. 10

Answers

Answer:

b is the correct answer. p is 10

The value of m∠RLU = 10.

How to estimate the value of m∠RLU?

Given: (5p - 8) and (2p + 22)

Simplifying both of the equation, then we get

5p - 8 = 2p + 22

Add 8 to both sides of the equation, then we get

5p - 8 + 8 = 2p + 22 + 8

simplify

5p = 2p + 30

substract 2p from both sides of the equation

5p - 2p = 2p + 30 - 2p

3p = 30

p = 30/3

p = 10.

m∠RLU = 10

Therefore, the correct answer is option D. 10.

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please help with this math question

Answers

Answer:

E            H

F            F

G           E

I hope I helped.

E is the answer in you welcome

Randomly pick 5 points from a sphere. Show that you can always find a closed semi-sphere (half a sphere and boundary) that contains 4 points.

Answers

4 4 6 8 is the answer to this question

if
[tex] log_{x} \: a \: + log_{x} \: \frac{1}{a} = t[/tex]
what is the possible value of t?​

Answers

Answer:

t= 0

Step-by-step explanation:

Using the rules of logarithms

log x + log y = log(xy)

[tex]log_{b}[/tex] 1 = 0

Given

[tex]log_{x}[/tex] a + [tex]log_{x}[/tex] [tex]\frac{1}{a}[/tex] = t ,then

[tex]log_{x}[/tex] (a × [tex]\frac{1}{a}[/tex] ) = t

[tex]log_{x}[/tex] 1 = t , thus

t = 0

I’m pretty sure the answer is t=0

What are all of the real roots of the following polynomial? f(x) = x^4 - x^3 - 13x^2 + x + 12
a) -1 and 1
b) -3, -1, 1, and 3
c) -3 and 3
d) -3, -1, 1, and 4

Answers

Answer:

1,-1,4,-3 so D

Step-by-step explanation:

0 = x^4 - x^3 -13x^2 + x + 12

x = 1,-1,4,-3

The final answer is -3,-1,1 and 4

What is the relation between roots and the biquadratic equation?

The biquadratic equation is of the form ax⁴+bx³+cx²+dx+e and hence

The sum of roots is -b/a, the sum of the product of two roots is c/a, the sum of the product of three roots is -d/a, and the product of all four roots is e/a.

Solving the given problem

There is no specific method of solving a biquadratic equation, hence we use the trial and error method and also some form of the root.

So finding f(1) = 1-1-13+1+12 = 0 hence 1 is a root.

finding f(-1) = 1-(-1)-13-1+12 = 0 hence -1 is also a root.

So let other roots be p,q

Now we can use sum of roots formula which is p+q+1-1= 1, hence p+q=1

product of roots p*q*1*-1=12, pq= -12 substituting p = -12/q

-12/q+q = 1, multiplying q on both sides

q²-12=q, q²-q-12=0, q²-4q+3q-12 = 0, q(q-4q)+3(q-4)=0

(q-4)(q+3) = 0 hence the roots are 4,-3 also

Hence 1,-1,4, and -3 are the roots of the equation.

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According to Newton's Second Law of Motion, the sum of the forces that act on an object with a mass m
that moves in an acceleration a is equal to m . a
An object whose mass in 80 grams has an acceleration of 20 meters per seconds square.
What calculation will give us the sum of the forces that act on the object, in Newtons (which are
kg.m/s2)?

Choose 1 answer.
A 80 . 20
B 80 . 1000 . 20
C 80/1000 . 20
D 80/602. 20

Answers

Answer: 80/1000 • 20

Answer:

Screenshots attached! Hope it helps :)

plls 20 poinsts will mark brainlest

Answers

Answer:

My answer is in the attached image.

Dat is wat I got I really hope dat helped

G = {(1, 1), (1, 2), (1, 3), (1, 4)} Is G a function and why? Yes, no two ordered pairs in this list has the same second element. Yes, there is more than one ordered pair in this list. No, there is a limited number of ordered pairs in this list. No, each ordered pair in this list has the same first element.

Answers

Answer:

No, each ordered pair in this list has the same first element.

Step-by-step explanation:

An input can only have 1 output, but multiple inputs can have the same output. How you can check this if you have a graph is if you can draw a straight line (top to bottom) anywhere on the graph and it intersects with the line once or not at all.

Answer:

No, each ordered pair in this list has the same first element.

Step-by-step explanation:

A function is a relation in which each possible input value leads to exactly one output value.

Given: G = {(1, 1), (1, 2), (1, 3), (1, 4)}

It has same input (x=1) that leads to multiple outputs (y= 1,2,3,4). This relationship is not a function as per definition provided above.

Correct answer choice is:

No, each ordered pair in this list has the same first element.

Factorize. (i) 2mn +m^2-6n - 3m (ii) 4y^2 -81 (iii) t^2 - 6t+8

Answers

Answer:

(i) (m-3)(2n+m) (ii) (2y+9)(2y-9) (iii) (t-4)(t-2)

Step-by-step explanation:

2mn+m^2-6n-3m

m(2n+m)-3(2n+m)

(m-3)(2n+m)

Answer: (m-3)(2n+m)

------------------------------

4y^2-81

(2y+9)(2y-9)

Answer: (2y+9)(2y-9)

-------------------------------

t^2-6t+8

(t-4)(t-2)

Factors of the given equations are

(i) (2n +m)(m - 3)  

(ii) (2y-9)(2y + 9)

(iii) (t -4) (t - 2)

What is factorization?

" Factorization is the process of breaking down large number or quantity into a smaller number or quantity."

Formula used

(a² - b²) = (a -b) (a +b)

According to the question,

(i) 2mn + m² -6n -3m

= m (2n +m) - 3 (2n +m)

= (2n + m) (m - 3)

(ii) 4y² - 81

 = (2y)² - (9)²

= (2y - 9) (2y + 9)

(iii) t² - 6t +8

  = t² - 4t - 2t + 8

  = t (t - 4) -2 (t - 4)

  = (t -4) (t -2)

Hence, Factors of the given equations are

(i) (2n +m)(m - 3)  

(ii) (2y-9)(2y + 9)

(iii) (t -4) (t - 2)

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Which of the following statements is true for a function with equation Ax) = 5(3)*?
The graph has y-intercept (0,5) and increases with a constant ratio of 3.
The graph has y-intercept (0, 3) and decreases with a constant ratio of 3.
The graph has y-intercept (0, 3) and increases with a constant ratio of 5.
The graph has y-intercept (0,5) and decreases with a constant ratio of 3.

Answers

Answer:

Hey there!

The graph has a y-intercept of (0,5), and increases with a common ratio of 5. (For example, it increases from 3, 15, 75, and the common ratio is 5.  

Hope this helps :)

don’t have the answer but you have it already:)

(NO TROLLS 3 TIMES THE CHARM) In △ABC, AB = BC = 20 and DE ≈ 9.28. Approximate BD.

Answers

Answer:

≈ 5.36

Step-by-step explanation:

If we have a triangle in which the angle measure of it being broken down are the same, that means that the legs in which the angle measures are the same will have the same length.

If we already know that DE ≈ 9.28, then we can subtract this from 20 and divide by two to get BD, which is equal to EC.

[tex]20-9.28=10.72\\10.72\div2=5.36[/tex]

However, I'm not 100% sure about this answer.

Hope this helped (and I hope I'm right)

Answer:

5.3589 or 5.36

Step-by-step explanation:

tan (15) = x / 20

x = 40 - 34.64

x = 5.36

Which expression is equivalent to RootIndex 3 StartRoot x Superscript 5 Baseline y EndRoot?

Answers

Answer:

The answer is "[tex]x^{\frac{5}{3}}y^{\frac{1}{3}}[/tex]"

Step-by-step explanation:

Given value:

[tex]\to \bold{ \sqrt[3]{x^5y} }[/tex]

[tex]\to \sqrt[3]{x^5y} =(x^5y)^{\frac{1}{3}}[/tex]

formula:

[tex]\bold{(a.b)^n=a^nb^n}[/tex]

[tex]\to (x^5y)^{\frac{1}{3}}= x^{\frac{5}{3}}y^{\frac{1}{3}}[/tex]

The final value is:  [tex]\boxed{\boxed{ x^{\frac{5}{3}} \cdot y^{\frac{1}{3}}}}[/tex]

The answer should be B I just did the test


Hope this helps .

Use the model below to find the area of the shaded region.

Answers

Answer:4/12

Step1- 3 times 4 is 12

Step2- count how many twelvths are shaded

Step3- 4 twelvths are shaded

Answer: 4/12

Answer:

C. 1/3 square yard

Step-by-step explanation:

Given:

The length of shaded area = 2/3 yardThe width of shaded area = 2/4 yard

To find:

The area of shaded region

Solution:

The shaded region is a rectangle. Area of a rectangle is the product of the length and width:

Area = 2/3 yard * 2/4 yard = 1/3 square yard

Answer choice: C. 1/3 square yard

A reduced scale drawing of a rectangle measures 12 inches by 16 inches. The scale factor is 1/4. What is the size of the original rectangle? A. 3 in. * 4 in. B. 16 in. * 20 in. C. 36 in. * 48 in. D. 48 in. * 64 in. Please show ALL work! <3

Answers

Answer: D) 48 inches by 64 inches

=============================================

Explanation:

The scale factor is 1/4 = 0.25, meaning that the original preimage is larger and it is reduced to get the image. The reduced width is 12, so the original width is 12/0.25 = 48 inches. The reduced length is 16 making the original to be 16/0.25 = 64.

--------

note that

48*0.25 = 12

64*0.25 = 16

showing how a 48 by 64 rectangle is reduced to a 12 by 16 rectangle after applying the scale factor to each dimension

D Work Is Showed Below Hopefully It’s Correct !!

The width of a rectangle is 14 feet less than 3 times the length. If the area is 24 fta,
find the width and length.
Width = 4 and Length = 6
Width = 2 and Length = 4
Width = 10 and Length = 12
Width = 6 and Length = 8

Answers

Answer:

Width: 4

Length: 6

Step-by-step explanation:

We can create a systems of equations for this problem, assuming W is width and L is length.

W = 3L-14

WL = 24

We can substitute W into the equation.

(3L-14)L = 24

3L²-14L = 24

3L² - 14L - 24 = 0

(3L+4)(L-6)=0

L = 6

Now we can find W by substituting L into the equation.

[tex]6\cdotw=24\\w = 4[/tex]

Hope this helped!

the answers will be 6=24
w=6 i think

Find mPRˆ(arc). A. 115 B. 95 C. 125 D. 100

Answers

Answer:

D. 100°

Step-by-step explanation:

Refer to picture attached

Lines QP and QR are tangent to radius of circle.

Triangles ΔQPO and ΔQRO are right triangles and line QO bisects angles of ∠PQR and ∠POR.

So as per sum of angles in right triangle, we have:

1/2∠PQR + 1/2∠POR = 90°1/2(81x-1)° + 1/2(100x)° = 90°(90.5x)°= 90.5°x= 1°

Then:

mPR(arc)= (100x)°= 100*1°= 100°

Correct answer choice is D. 100°

I THINK IT’S “D.100” because of how it angled

Find the value of a. A. 52 B. 26 C. 104 D. 93.5

Answers

Answer:

Option (A)

Step-by-step explanation:

To find the value of 'a' we will use the tangent-chord theorem,

"Angle formed by the chord and a tangent to the circle measure the half of the intercepted minor arc"

Angle 'a' is formed between the chord and the tangent.

Measure of the intercepted arc = (2 × 52)°

Therefore, measure of the angle 'a' = [tex]\frac{104}{2}[/tex]

a = 52°

Therefore, Option (A) will be the correct option.

It’s a because it is in obtuse angle and obtuse angels are the largest angles

write 0.895 with 95 repeating on and on as a simplified fraction
PLZ HELP WILL GIVE BRANLIEST

Answers

Answer:

887/990

Step-by-step explanation:

0.8959595....

895.95 - 8.95 = 887

1000 - 10 = 990

Answer:

[tex]\huge\boxed{x = \frac{887}{990}}[/tex]

Step-by-step explanation:

The number given is 0.895..........

Let x = 0.895........

Then

10x = 8.95.......   --------(1)

1000x = 985.95........   --------(2)

Subtracting (1) from (2)

1000x - 10x = 985.95..... - 8.95......

990 x = 887

Dividing both sides by 990

[tex]x = \frac{887}{990}[/tex]   (In simplest form)

Which expression can be used to convert 100 USD to Japanese yen?

wo competing gyms each offer childcare while parents work out. Gym A charges $9.00 per hour of childcare. Gym B charges $0.75 per 5 minutes of childcare. Which comparison of the childcare costs is accurate?

Answers

Not quite sure what you’re asking for but i can offer a couple(and by that i mean two) “answers” depending on what you need.

Usd>Yen~1->.009
Gym B costs 50%less

If the question is trying to compare hours to usd then Gym A is the most accurate representation of USD to Yen

$9.75 I think thats right

{(-2,8),(4,6),(10,4)} Which point, when added to the set, would form a relation that is not a function?

Answers

Answer:

Point : ( -2, 15 )

Step-by-step explanation:

A point that would make this relation not a function would be one that shares a common x - value with the other points. One common domain values for two range values would, when graphed, not follow the vertical test, hence making the relation not a function.

Let's say that the point is ( -2, 15 ). It has a common x - value with respect to the first point, ( -2, 8 ), and therefore would make this set not a function.

Answer:

Point : ( -2, 15 )

Step-by-step explanation:

Which graph shows Point P as (–5,6) and Point Q as (3,–4)?

Answers

Answer:

The third graph from the left.

Step-by-step explanation:

The points are located on the graph that was given below. Then the correct option is C.

What is coordinate geometry?

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

The points are given below.

P(5, 6) and Q(3, -4)

Point P is located by moving 5 units towards the left and 6 units upwards.

Point Q is located by moving 3 units towards the right and 4 units downwards.

The points are located on the graph that was given below.

Then the correct option is C.

More about the coordinate geometry link is given below.

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NEED ANSWER FAST....FIRST ANSWER WILL BE BRAINLIST!!!!
For which data set would the mean absolute deviation be a good indicator of variation of the data?

Answers

Answer:

Bottom right.

Step-by-step explanation:

The bottom right stem-and-leaf plot is the best data set because the data is unimodal and centered, so the mean absolute deviation will be the smallest. To verify this algebraically, you can find the mean of the data set. Once you have done that, you can find the absolute value of the difference between each data value and the mean: |data value – mean|.

Which set below is the domain of
{(2, -3),(-1,0), (0,4),(-1,5),(4, -2)}?
(AD {-3, 0, 4, 5, -2} (CD, {2,-1,4}
(3) -3,4,5,-2) (D) {2,-1,0,4}​

Answers

Answer:

Domain { -1,0,2,4}

Step-by-step explanation:

{(2, -3),(-1,0), (0,4),(-1,5),(4, -2)}

The domain is the input values

Domain { 2,-1,0,-1,4}

We normally write them in order from smallest to largest and no repeating

Domain { -1,0,2,4}

Answer:

[tex]\large \boxed{\sf D. \ \{2,-1,0,4\}}[/tex]

Step-by-step explanation:

The domain are all possible values of x.

[tex]\{(2, -3),(-1,0), (0,4),(-1,5),(4, -2)\}[/tex]

The x values are 2, -1, 0, -1, and 4.

The domain of the set is {2,-1,0,4}​.

Math Question (10 Points):

Answers

5u + u - 6u
= 6u - 6u
= 0

Answer:

0

Step-by-step explanation:

Like terms are terms that have the same variable part.

The variable part of all three terms is u, so all terms are like terms.

5u + u - 6u =

= 5u + 1u  6u

= 6u - 6u

= 0

what is (7*7*7*7*7*7) * (7*7) in exponential form? ​

Answers

Answer:

7^8

Step-by-step explanation:

Answer:7^8

Step-by-step explanation:

plsss help meeeeeee!!!! Jakes club has 35 members. it's rules require that 60% of them must be present for any vote. at least how many members must be present to have a vote?

Answers

Answer:

21 members

Step-by-step explanation:

Jake's club

Total number of members = 35

percentage of members required to be present for any vote = 60%

= 60/100 × 35

= 0.6 × 35

= 21

At least 21 member must be present

Find the measure of FG. A. 9 B. 10 C. 11 D. 8

Answers

Answer:

x =11

Step-by-step explanation:

(whole secant) x (external part) =  (whole secant) x (external part)

( 15+x-2) * (x-2) = (19+x-3) * (x-3)

Combine like terms

(13+x) *(x-2) = (16+x) *(x-3)

Distribute

11x+x^2-26=13x+x^2-48

Subtract x^2 from each side

11x -26 = 13x -48

Subtract 11x from each side

-26 = 2x-48

Add 48 to each side

22 = 2x

Divide by 2

11 =x

The answer is definitely x=11

The center of a circle is at the origin on a coordinate grid. The vertex of a parabola that opens upward is at (0.9). If the
circle intersects the parabola at the parabola's vertex, which statement must be true?

Answers

Answer:

The circle has radius = 9 units, and its equation is:

[tex]x^2+y^2=81[/tex]

The parabola has equation of the form:

[tex]y=a\,x^2+9[/tex]

with [tex]a[/tex]  being a positive number

Step-by-step explanation:

Given the characteristics of the two figures (circle and parabola) as described,

since the parabola intersects the circle at a single point (it vertex) then the radius of the circle centered at the origin must be 9. that makes the equation of the circle to have the following standard form;

[tex]x^2+y^2=9^2\\x^2+y^2=81[/tex]

Since there is no other info regarding the parabola, the most one can say about the equation of the parabola, is that in vertex form, the parabola's equation must be of the form:

[tex]y=a\,(x-x_{vertex})^2+y_{vertex}\\y=a\,(x-0)^2+9\\y=a\,x^2+9[/tex]

with [tex]a[/tex]  being a positive number.

Jenny is baking 56 cookie sandwiches for her friend’s birthday party. She plans to transport the cookie sandwiches in the same food storage container but is not sure if all 56 will fit inside of the container. Part A: Calculate the volume of one cookie sandwich to the nearest cubic unit. Use 3.14 for[tex]\pi[/tex] . Part B: Calculate the total capacity of the food storage container to the nearest cubic unit. Use 3.14 for[tex]\pi[/tex] . Part C: Given your calculations regarding the volumes in Parts A and B, do you anticipate that Jenny will be able to transport all of the cookie sandwiches in one food storage container? In two or more complete sentences, explain your reasoning.

Answers

Answer:

Part A: 5 inches³.

Part B: 302 inches³.

Part C: Yes. Explanation below.

Step-by-step explanation:

Part A: The cookie sandwiches appear to be flat cylinders. The volume for a cylinder is pi * r^2 * h.

In this case, the h = 1 inch and r = 1.25 inches.

pi * 1.25^2 * 1

= pi * 1.5625

= 3.14 * 1.5625

= 4.90625.

So, the volume of a single cookie sandwich is about 5 inches³.

Part B: As stated before, the volume of a cylinder is pi * r^2 * h.

In this case, the r = 4.5 inches, and the h = 4.75 inches.

pi * 4.5^2 * 4.75

= 3.14 * 20.25 * 4.75

= 63.585 * 4.75

= 302.02875.

So, the volume of the food storage container is about 302 inches³.

Part C: Given the calculations from Parts A and B, Jenny will be able to transport all the cookie sandwiches in the food storage container. This is because there are 56 cookie sandwiches, each with a volume of 5 cubic inches. That means that the cookie sandwiches will take up 5 * 56 = 280 cubic inches of space. There is about 302 cubic inches of space in the container, so there will still be 22 cubic inches of air inside the container after the cookies are inside.

Hope this helps!

Answer:

Part A: 5 inches^3

Part B: 302 inches^3

Part C: Yes, Jenny will be able to transport all the cookie sandwiches in the food container. This is because there are 56 cookie sandwiches and they each have a volume of 5 cubic inches. So, 56 times 5 equals 280 cubic inches of space. There are 302 cubic inches inside the container, so all the cookie sandwiches will fit inside.

Use the graph to determine the vertex point of the quadratic function. Is the vertex a
maximum or a minimum?

Vertex (1,3),maximum
Vertex (3,1) minimum
Vertex (1,3),minimum
Vertex (3,1) maximum

Answers

(3, 1) minimum

It is a minimum because it is at the bottom, whereas a maximum would be at the top. The coordinates are read off the graph to find the point.

Answer:

Vertex (3,1) minimum

Step-by-step explanation:

Hello, I attached a graph with two examples where you can see the Vertex and when this is a minimum vs maximum.

You can see in your graph that the vertex is the point (3,1) and this is a minimum.

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

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Piercy, LLC, has identified the following two mutually exclusive projects: Year Cash Flow (A) Cash Flow (B) 0 $ 68,000 $ 68,000 1 44,000 30,200 2 38,000 34,200 3 25,000 40,000 4 15,600 24,200 a-1. What is the IRR for each of these projects? The graph below represents which of the following functions? What name did the pro slavery rebel states take on when they broke from the United States? A. Dixie B. The Mason-Dixie line C. The Confederate States of America D. The Rebel States of America You are the lucky student of a wacky professor who develops a time machine. He asks if you will test it with him. You get in and there is an immediate glitchthe date readout fails so that when you land you are not sure what era you are in. As your time machine lands, you see an unusual landscape before you. As you open the door you realize you cannot breathe. You quickly shut the door, realizing you are in the _____.1) Archaean eon2) Cambrian period3) Cenozoic era4) Mesozoic era Sixty-five percent of employees make judgements about their co-workers based on the cleanliness of their desk. You randomly select 8 employees and ask them if they judge co-workers based on this criterion. The random variable is the number of employees who judge their co-workers by cleanliness. Which outcomes of this binomial distribution would be considered unusual? One Step, Inc., is trying to determine its cost of debt. The firm has a debt issue outstanding with 27 years to maturity that is quoted at 105 percent of face value. The issue makes semiannual payments and has a coupon rate of 4 percent.Requried:a. What is the company's pretax cost of debt?b. If the tax rate is 23 percent, what is the aftertax cost of debt? Scientists from different fields are trying to understand how the global climate is reacting to the changes caused in nature, and by human activities. They have come up with conflicting interpretations. Which of these is the most likely outcome of differences in interpretations made by scientists on the issue of global climate? What doest this phrase from suggest? In the dying sunlight the people dragged, rather than their empty cotton sacks In a triangle, the sum of two angles equals the third, Find the measure of the third angle.A.45 degreeB.60 degreeC.90 degreeD.30 degree Which number line represents the solution set for the inequality 2x 6 6(x 2) + 8?A number line from negative 1.5 to 1.5 in increments of 0.5. A point is at 0.5 and a bold line starts at 0.5 and is pointing to the left.A number line from negative 1.5 to 1.5 in increments of 0.5. A point is at 0.5 and a bold line starts at 0.5 and is pointing to the right.A number line from negative 1.5 to 1.5 in increments of 0.5. A point is at negative 0.5 and a bold line starts at negative 0.5 and is pointing to the left.A number line from negative 1.5 to 1.5 in increments of 0.5. A point is at negative 0.5 and a bold line starts at negative 0.5 and is pointing to the right. In one paragraph, identify which event you think was most influential in Chinas recent history and explain why. Which of the following best describes a limiting reactant? a. The reactant that limits the rate (or speed) of a chemical reaction. b. The reactant that limits the position of equilibrium in a reversible chemical change. c. The reactant that remains at the end of the reaction. d. The reactant that can produce the greatest amount of product. e. The reactant that is completely used up by a reaction. find the last common denominator for these two rational expressions In September 2009 a U.S. investor chooses to invest $500,000 in German equity securities at a then current spot rate of $1.30/euro. At the end of one year the spot rate is $1.35/euro. 1. Refer to Instruction, how many euros will the U.S. investor acquire with his initial $500,000 investment?A) 650,000B) 370,370C) 500,000D) 384,6152. Refer to Instruction, at an average price of 60/share, how many shares of stock will the investor be able to purchase?A) 8333 sharesB) 6410 sharesC) 6173 sharesD) 10,833 shares3. Refer to Instruction, at the end of the year the investor sells his stock that now has an average price per share of 57. What is the investor's average rate of return before converting the stock back into dollars?A) 5.0%B) -3.0%C) -5.0%D) 3.0%4. Refer to Instruction, at the end of the year the investor sells his stock that now has an average price per share of 57. What is the investor's average rate of return after converting the stock back into dollars?A) -1.35%B) 5.0%C) -5.0%D) -7.24% the angle of elevation of the top of a tower from a point 42m away from the base on level ground is 36 find the height of the tower You have been assigned a big project that must be finished in two months. You also must attend toyour regular job responsibilities. You are concerned that you will not meet your deadlines,Read the following possible courses of action and decide which is the BEST way to handle thesituation and which is the WORST way to handle the situation.1. Ask your co-workers to help with your assignments,2. Talk with your supervisor, and ask for more time.3. Set and meet small goals that ensure you finish on time.4. Work extra hours, as needed, to get everything finished,Which is the BEST way to handle the situation? Which is the WORST way to handle the situation?Option 1Option 1Option 2Option 2Option 3Option 3Option 4Option 4 How did the agricultural revolution help accelerate the industrial revolution? 1. Fever workers were needed for farming and more became available for industrial work. 2. The seed drill and the horse - led to innovations in textiles. 3. Greater farm income enabled rich landowners to retire. 4. The enclosure system on farms was a model for industrial factories. Zack enters into a contract to buy Olivias home. Per the terms of the contract, Zack must put down a $10,000 earnest money deposit and have the property inspected within five days. In reality, he puts down a $12,000 deposit and has the property inspected within two days. This is an example of ______. In the course of selling a home to a buyer, a broker told the buyer that the home's foundation was "solid as a rock", when he knew for a fact that it was slowly sinking into the landfill on which it was built. In this situation, the broker's conduct would be BEST defined as a Suppose that 200 students are randomly selected from a local college campus to investigate the use of cell phones in classrooms. When asked if they are allowed to use cell phones in at least one of their classes, 40% of students responded yes. Using these results, with 95% confidence, the margin of error is 0.068. How would the margin of error change if the sample size increased from 200 to 400 students?