You have $2000 to invest in an account and need to have $2500 in five years. What annual interest rate would you need to have in order to have this if the amount is compounded monthly?
a) 4%
b) 2%
c) 5%
d) 3%

Answers

Answer 1

Answer:

c) 5%

Step-by-step explanation:

A = $ 2,566.72

A = P + I where

P (principal) = $ 2,000.00

I (interest) = $ 566.72


Related Questions

Alice has 1/6 of a bowl of cereal Allison her brother wants to split the cereal equally which expression represents the fraction of the box of cereal that Alice gets

Answers

Answer:

it would be 1/6 divided by 2, or the seond option.

Step-by-step explanation:

To split something equally, you'd divide it in half. In other words, you'd be dividing it by 2.

Therefore, it would be 1/6 divided by 2, or the seond option.

I hope this helped and have a good rest of your day!

Bur oak and hickory trees are deciduous,which means that they lose their leaves seasonally. A bur oak is 25 1/2 feet tall and grows 1 1/2 feet each year. A hickory is 30 feet tall and grows 1 1/2 feet each year. Complete the chart to show the heights of the two trees each year for five years.

Answers

First we must calculate, for each tree the increment for each year:

bur oak:

Initial: 25.5 ft

1 year = 25.5 + 1.5 = 27

2 year = 27 + 1.5 = 28.5

3 year = 28.5 + 1.5 = 30

4 year = 30 + 1.5 = 31.5

5 year = 31.5 + 1.5 = 33

 hickory:

Initial: 30 ft

1 year = 30 + 1.5 = 31.5

2 year = 31.5 + 1.5 = 33

3 year = 33 + 1.5 = 34.5

4 year = 34.5 + 1.5 = 36

5 year = 36 + 1.5 = 37.5

Year  |  bur oak (ft)  |  hickory (ft)

  0              25.5              30

  1                 27               31.5

  2               28.5              33

  3                30               34.5

  4               31.5               36

  5                33               37.5

The data on ages at which a sample of 35 fathers had their first child show a mean 25.43 and standard deviation 5.19. Define the population parameter of interest in this context.

Answers

Answer:

Step-by-step explanation:

A population parameter describes an entire population; a particular characteristic of an entire population. A value that describes the entire population. In this context, the population parameter is looking into the average ages of fathers when they had their first child, but this value is not given. The mean given here is the sample statistic.

Since, the population studied here is a very large population (all fathers), you have a statistic. But sometimes, if the population is very small and groups are small enough to measure, you have a parameter.

The mean weight of females in a class is 60kg and that of the males is 72kg. If the mean

weight of the class is 68kg, what is the ratio of females to males in the class?​

Answers

Answer:

1:2

Step-by-step explanation:

Let's say there are x males and y females in the class.

The sum of all male weights will be 72x, and the sum of all female weights will be 60y.

If we get a class mean weight, we have:

(72x + 60y) / (x+y) = 68

72x + 60y = 68x + 68y

4x = 8y

y / x = 4/8 = 1/2

So the ratio of females to males is the class is 1:2

Solve the equation.
-9x + 1 = -x + 17
X=-8
O X=-2
X = 2
X = 8

Answers

Answer:

-9x + x = 17 – 1  

8x = 16

X = 16/8  

X=2

Sales Gi sells televisions. He earns a fixed amount for each television and an additional $ 30 if the buyer gets an extended warranty. If Gi sells 14 televisions with extended​ warranties, he earns $ 1 comma 190. How much is the fixed amount Gi earns for each​ television? The fixed amount Gi earns for each television he sells is ​$ nothing.

Answers

Answer:

The fixed amount Gi earns for each television he sells is $ 55.

Step-by-step explanation:

If Gi sold 14 televisions and earnt a total of $1,190, then for each television that was sold he earnt:

per tv = total earnt/total sold

per tv = 1190/14 = 85

Since he sold all these televisions with warranty, then he earned "x + 30" per each tv sold, since he got the bonus from the warranty. Therefore the fixed amount he earns per tv is:

x + 30 = 85

x = 85 - 30

x = 55

The fixed amount Gi earns for each television he sells is $ 55.

How long is DE?

Any help will be appreciated thank you

Answers

Answer: 4

Step-by-step explanation:

solve for the missing angle

the total degrees a triangle can have is 180 so

[tex]180-90-60=30[/tex]

use law of sines to solve for x

[tex]\frac{x}{sin30} =\frac{4\sqrt{3} }{sin60}[/tex]

cross multiply

[tex]sin60*x=4\sqrt{3} sin30[/tex]

divide by [tex]sin60[/tex]

[tex]x=\frac{4\sqrt{3}sin30 }{sin60}[/tex]

type into calculator with (ALPHA Y= for a fraction on TI-84) MAKE SURE IT IS IN DEGREES

Geometry Question!!!!

Answers

It is not tanget because you use the hypotenuse and adjacent which would be cosine

Answer:

D

Step-by-step explanation:

If AB is a tangent, then angle A must be a right angle.

If angle A is a right angle, then triangle ABC is a right triangle and will work in the Pythagorean theorem formula.

a^2 + b^2 = c^2

8^2 + 16^2 = 20^2

64 + 256 = 400

320 = 400

Since 320 = 400 is false, angle A is not a right angle, and AB is not a tangent to circle C.

Answer: D

simplify the expression 4x + 3 - x - 7​

Answers

Answer:

3x - 4

Step-by-step explanation:

The first, and last, step is to add like terms (4x and -x, 3 and -7), like so:

4x + 3 - x - 7

4x - x = 3x

3 - 7 = - 4

3x - 4

Plz help with this problem

Answers

Answer:

A = 222 in²

Step-by-step explanation:

A = 2(wl+hl+hw)             Use this equation to find the surface area of the rectangular prism

A = 2(5*12 + 3*12 + 3*5)    Multiply

A = 2(60 + 36 + 15)            Add in the parentheses

A = 2(111)                             Multiply

A = 222 in²

If this answer is correct, please make me Brainliest!

whats x-3y=6 in slope intercept form ?

Answers

Answer:

y = 1/3X - 6

Step-by-step explanation:

A race car driver has 28 cars. Each car has 4 tires. He has to replace all the tires on the cars. He has 22 tires right now.
estimate the total number of tires he needs to buy.​

Answers

he needs to buy a total of 81 tires to finish the job

Answer:

94 tires

Step-by-step explanation:

He would be able to change 5 cars, but would need to buy 94 more tires.

I divided 22 by 5 and got 5.5. Then, I subtracted 28 minus 5, and got 23 times that by 4 and got 92 but you need to add the extra 2 tires.

What is the volume of the prism?

Answers

Answer:

Rectangular prism:

length times width x height

Triangular prism:

(a+b+c) h

Terry has 3 pairs of pants: black, khaki, and brown, and 4 shirts: yellow, red, blue, and white. He does not care which colors he wears together. If Terry chooses one pair of pants and one shirt at random, what is the probability that his outfit will be the black pants with the yellow shirt?

Answers

Answer:

1/12 my guy

Step-by-step explanation:

There really isn't one

Answer:

Would be 0.08333 or 1/12

Step-by-step explanation:

Find five rational numbers between 3/7 and 2/3

PLEASE HELP...... I NEED TO SUBMIT THIS NOW....

Answers

Answer:

First, you get both of them with same denominator:

3/7 and 2/3 => 9/21 and 14/21, however, there are only 4 rational numbers between 9/21 and 14/21.

The solution is that you can raise the denominator 2 times:

9/21 and 14/21 => 18/42 and 28/42

Now you can select : 19/42, 20/42, 21/42, 22/42, 23/42. They are a group of  5 rational numbers you are looking for.

can you please help me with this thanks

Answers

Answer: 6

Step-by-step explanation:

in a 30 60 90 triangle the hypothenuse is [tex]2a[/tex], long side is [tex]a\sqrt{3}[/tex], and the short side is [tex]a[/tex]

2(-n -3) - 7(5+2n)
Simplify to create an equivalent expression

Answers

[tex]\text{Simplify:}\\\\2(-n -3) - 7(5+2n)\\\\\text{Use the distributive property}\\\\-2n-6-35-14n\\\\\text{Combine like terms}\\\\-2n-6-35-14n\\\\-16n-6-35\\\\\boxed{-16n-41}[/tex]

A city is divided by a river. The portion of the city east of the river covers 25% of the city and has a population density of 28 people/km2. The portion on the west side of the river has a population density of 17 people/km2. Find the population density of the city as a whole.

Answers

Answer:

The answer is 19,75 people / km2

Step-by-step explanation:

Let's say that the total area of the city is 4 kilometer squares. In that case, the east of the river, which is 25% of the city, is 1 kilometer square. This means that the population is 28 on the east side of the city

The west side of the city is 3 kilometer squares, which means the population is 17 x 3 = 51.

The total population of the city is 51 + 28 = 79 and the total area is 4 kilometer squares. So the population density of the city as a whole is

79 / 4 = 19,75 people per kilometer square.

I hope this answer helps.

THE property of two rational numbers is -28/81. If one of them is -2/3, then find the other.

PLEASE HELP..... I NEED TO SUBMIT IT NOW......

Answers

The answer is:
(-28/81)/(-2/3) = -84/(-162) = 42/81

Work
Think of this simple question:
Two number when multiplied together give 15. If one number is 5, then the other is (15/5)=3.

Find the area of the triangle

Answers

Answer: Area of a triangle = (b*h)/2

Step-by-step explanation:

8*14= 112

112/2=56

The area of the triangle is 56 square units.

Answer:

56

Step-by-step explanation:area of aa triangle is 1/2bh

=1/2*8*14+56 square units

hope this hepls

plz mark me brainliest

Triangle A is a scaled version of triangle B. The dimensions of triangle B are three times the dimensions of triangle A. The area of triangle A is 24.5 sq cm. What is the area of triangle B?

Answers

Answer:

The  area of triangle B is [tex]2.72cm ^{2}[/tex]

Step-by-step explanation:

We will use the principle of similar triangles to solve the problem.

Since triangle A is just a scale version of triangle B, we can say that the two triangles are similar.

The area scale factor is the square of the length scale factor.

Given the length scale factor as 3,

The area scale factor will be 3 X 3 = 9 sq. cm

(Area of triangle A / Area of triangle B) =  (length of side A / Length of side B) square

[tex]\frac{24.5}{ area of B}= 3^{2}[/tex]

[tex]\frac{24.5}{Area of B}= 9\\Area of B = \frac{24.5}{9}= 2.72 cm ^{2}[/tex]

The  area of triangle B is [tex]2.72cm ^{2}[/tex]

Solve 8.2ws 29.52. Which of the following must be true abo
OWS36
The arrow points left
The arrow points right
There is an open circle at 3.6.
There is a closed circle at 3.6.

Answers

Answer:

A B E

Step-by-step explanation:

A- w less-than-or-equal-to 3.6

B- The arrow points left.

E- There is a closed circle at 3.6.

Answer:

A B E

Step-by-step explanation:

A rectangular garden has a walkway around it. The area of the garden is 4​(4.5xplus1.5​). The combined area of the garden and the walkway is 5.5​(8xplus4​). Find the area of the walkway around the garden as the sum of two terms.

Answers

Answer:

Walkway is 1.5 units²

Step-by-step explanation:

Just subtract the area of the garden from the combined area:

5.5-4=1.5

Also did you mean difference? I don't know what it means by sum.

Please help!! Due at 12 AM please!! Will help you !!! I do have another question that i posted
that has NOT been answered so if u can help with that also.

Answers

Answer:

Rocket A: The x-intercept= (0,0) and (7,0)

Maximum= (3.5, 220.5) *idk if your teacher wants x's or y's

Average Rate of Change over [0,2]= 90

Rocket B: The x-intercepts are=(0,0) and (4,0)

Maximum=(2,32)

Average Rate of Change over [0,2]= 16

Rocket A is faster

Step-by-step explanation:

Rocket A: graph on demos

when x is 2 y is 180 180/2=90

Rocket B: i graphed the points on demos and imagined maximun of the graph

(it also tell you the x-intercepts)

32/2=16

Hope this helps

Explain why you cannot use algebra tiles to model the multiplication of a linear polynomial by a quadratic polynomial.


As an added challenge develop a model similar to algebra tiles that will allow you to show this multiplication. Describe an example of your model for the product (x + 1)(x^2 + 2x +2)

Answers

Answer:

The product of (x + 1)(x² + 2x + 2) is

x³ + 3x² + 2x + 4

Step-by-step explanation:

The product of (x + 1)(x² + 2x + 2) is Given in the steps below.

(x + 1)(x² + 2x + 2) = x(x² + 2x + 2) + x² + 2x + 2

= x³ + 2x² + 2 + x² + 2x + 2

= x³ + 3x² + 2x + 4

Choose the formula for the volume of a rectangular prism V = lwh written in terms of h.

A. h = Vlw
B. h = lVw
C. h = lwV
D. h = Vwl
Part B
Find the height h of a rectangular prism with volume V = 96 cm3, l = 8 cm and w = 2 cm.

height =
cm

Answers

Answer:

h = V/lw and the height = 6cm

Step-by-step explanation:

h = V/lw

V= [tex]96cm^{3}[/tex]

l = 8 cm

w = 2cm

V/lw = 6

Thus, the height = 6cm

can someone help me?

Answers

Answer:

Step-by-step explanation:

X = 152 -90 = 62 degree

Which property of equality could be used to solve -3x = 348? A. addition property B. subtraction property C. division property D. multiplication property

Answers

Answer:

B:subtraction property

Step-by-step explanation:

For every bracelet she​ sells, she gives her business partner​ $4. If Latrece sells 18 bracelets for a total of​ $207, how much money will Latrece keep from each bracelet​ sold?

Answers

Answer:

Latrece gets to keep 135.

Step-by-step explanation:

so you would multiply 18 by 4 to get 72. Then you would subtract 207 by 72 to get 135

Answer:

7.50

Step-by-step explanation:

For 18 bracelets

She will give per partner

18*4 =72

She will keep  all but 72 dollars

207 - 72 =135

She wants to know how much per bracelet so divide by the number of bracelets

135 / 18 =7.5

Grace made a dot plot showing the distances she ran each day for two weeks. She says that she usually runs 7 miles each day because that is the distance that occurs most often. Do you agree with Grace's reasoning?

Answers

Answer: No

Step-by-step explanation:

Because Mode is not the best centre of tendency use for statistical data. And mode cannot be used for average.

Mean should be used for average values

Answer:

da ba dee da ba doo im blue

Step-by-step explanation:

Grace made a dot plot showing the distances she ran each day for two weeks.

She says that she usually runs 7 miles each day because that is the distance that occurs most often.

Do you agree with Grace’s reasoning?

Use the drop-down menus to explain and show your answer.

Dot plot named as ALTDCDistances RunALTDC has number line from 1 to 7. 1 dot on 1, 3 dots on 2, 3 dots on 3, 3 dots on 4 and 4 dots on 7 are given.

The mode, which is (3,4, or 7) ,(is or is not) a typical distance for the data. The median, which is (3.5,4, or 7),(is or is not) a typical distance for the data. The mean, which is (3,4, or 7) ,(is or is not) a typical distance for the data. So, Grace’s reasoning(is or is not ) correct.

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