Answer:
a. $4,950
b. The question is asking us to calculate the simple interest that would be earned on the deposited amount for the given number of years at the given interest rate
c. Simple interest
Step-by-step explanation:
a. We want to calculate the amount of interest to be earned in six years
To calculate this, we use the formula for simple interest.
Mathematically;
Simple interest I = PRT/100
Where P is the principal which is the amount deposited = $15,000
R is the rate which is 5.5%
T is the time which is 6 years
Substituting these values in the simple interest formula, we have
I = (15,000 * 5.5 * 6)/100 = $4,950
b. The question is asking us to calculate the simple interest that would be earned on the deposited amount for the given number of years at the given interest rate
c. Simple interest
A travel agent is booking trips for tourists who travel from New York to Chicago. Tourists have three choices for how to travel from New York to Chicago. They can take an airplane for $350, a bus for $150, or a train for $225. Once they arrive in Chicago, they can travel by van to their hotel for $60 or take a cab for $40. If each option is equally likely to occur, what is the probability that a tourist will spend more than $300 on these 2 legs of the trip?
List all the different combinations with total cost:
Airplane + van = 350 + 60 = $410
Airplane + cab = 350 + 40 = $390
Bus + van = 150 + 60 = $210
Bus + cab = 150 + 40 = $190
Train + van = 225 + 60 = $285
Train + cab = 225 + 40 = $265
There are 6 different combinations.
There are 2 that are more than $300
The probability would be quantity higher than 300 / total combinations.
Probability = 2/6 = 1/3
Ссппер
What is the image of (7, -2) after a reflection over the line y = -x?
Answer:
(2, -7)
Step-by-step explanation:
Which value is equivalent to
(7•5•2)^2 X ( 5^0 ) X 2-^9?
( 7•3 ) ( 2-^3)
Answer:
[tex]\frac{25}{144}[/tex]
Step-by-step explanation:
[tex](\frac{7 * 5 * 2}{7 * 3} )^2 * (\frac{5^0}{2^-3})^3 * 2^{-9}[/tex]
Simplified becomes;
[tex](\frac{10}{3})^2 * 2^3 * \frac{1}{2^9}[/tex]
Simplifying further gives; [tex]\frac{25}{144}[/tex]
You can buy 5 stickers for $3. Write a proportion that gives the
cost c if you buy 12 stickers.
Answer:
$7.5
Step-by-step explanation:
Let
Quantity of stickers=x
Price of stickers=y
5 stickers cost $3
12 stickers cost $y
x/y = x/y
5/3 = 12/y
Cross product
5y=12*3
5y=36
Divide both sides by 5
5y/5 = 36/5
y=7.5
12 stickers= $7.5
Therefore, the price of 12 stickers= $7.5
A local high school held a two-day fundraiser selling lunches. The equations shown represent the amount of money the school collected during the two days. {12x + 4y = 15232x + 12y = 420 In the equations, x represents the cost of a chicken lunch and y represents the cost of a vegetarian lunch. Which is the cost of the vegetarian lunch?
Answer:
11
Step-by-step explanation:
The two equations appear to be ...
12x +4y = 15232x +12y = 420These can be solved for y using Cramer's rule:
y = (152(32) -420(12))/(4(32) -12(12)) = -176/-16 = 11
The cost of the vegetarian lunch is 11.
_____
Comment on Cramer's Rule
For equations ...
ax +by =c
dx +ey = f
The solutions are ...
x = (bf -ey)/(bd -ea)
y = (cd -fa)/(bd -ea) . . . . note the denominators are the same expression
Once you memorize the pattern of products, this can be the simplest way to solve a pair of equations--especially if you only need one of the variable values.
Answer:
11
Step-by-step explanation:
quick mafs
ASAPPPPPP
What are the zeros of this function?
A. X4 and x 6
B. X-6 and x = 5
C. X-6 and xs-4
D. X 0 and x 4
If you invest $600 at 5% interest compounded continuously, how much would you make after 6 years?
Answer:
809.915$
Step-by-step explanation:
Amount of money = Principal x e^(rate x year)
= 600 x e^(0.05 x 6)
= 809.915$
Answer:
$809.92
Step-by-step explanation:
(see attached for reference)
Recall that the formula for compound interest (compounded continuously) is
A = P e^(rt)
where,
A = final amount (we are asked to find this)
P = principal = given as $600
r = interest rate = 5% = 0.05
t = time = 6 years
e = 2.71828 (mathematical constant)
Substituting the known values into the equation:
A = P e^(rt)
= 600 e^(0.05 x 6)
= 600 (2.71828)^(0.30)
= $809.92
Which is a factor pair of 72? 1. 12, 6 2. 14, 5 3. 23, 4. 24, 2
Answer:
1. 12, 6
Step-by-step explanation:
Your answer is 1. because you need to multiply them together to get the answer. In this case all you do is 12 × 6 = 72
Hope this helps!
If sin Θ = 5 over 6, what are the values of cos Θ and tan Θ?
Answer:
Check explanation
Step-by-step explanation:
Sin∅=5/6
Opp=5. Hyp=6
Adj= (√6²+5²)
= √11
Cos∅=(√11)/6
Tan∅=5/(√11)
Find the angle between the Crocodile River and the road. Show your work, and round your answer to the nearest tenth of a degree. Need help ASAP.
Answer:
63.4°
Step-by-step explanation:
Use the right triangle with vertices (0, 4), (6, 4), and (6, 7).
We are looking for the measure of the interior angle of the triangle at vertex (6, 7).
Call that angle, <A.
tan A = opp/adj
tan A = 6/3
A = 63.4°
The angle between the Serengeti Stream and the x-axis at the point (6, 7) is approximately 63.4°.
What is the right triangle?A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.
The equation of the straight line that goes through the points (0, 4) and (6, 7),
First, let's calculate the slope:
m = (7 - 4) / (6 - 0) = 3/6 = 1/2
Now we can use the point-slope formula with the point (0, 4) and slope m = 1/2:
(y - 4) = (1/2)(x - 0)
y = (1/2)x + 4
Next, we need to find where this line intersects the Crocodile River, which is represented by the x-axis.
Setting y = 0 in the equation above, we get:
0 = (1/2)x + 4
x = -8
So, the Serengeti Stream flows into the Crocodile River at the point (-8, 0).
The slope of the Serengeti Stream at (6, 7) is:
m = (7 - 4) / (6 - 0) = 1/2
The slope of the line perpendicular to the Serengeti Stream at (6, 7) is the negative reciprocal of the slope of the Serengeti Stream:
m_perpendicular = -1/m = -1/(1/2) = -2
So the equation of the line perpendicular to the Serengeti Stream at (6, 7) is:
(y - 7) = (-2)(x - 6)
y = -2x + 19
The arctangent of the slope:
angle = arctan(-2)
angle ≈ -63.4° (CCW)
Therefore, the angle between the Serengeti Stream and the x-axis at the point (6, 7) is approximately 63.4°.
Learn more about the right triangle here:
https://brainly.com/question/11899922
#SPJ3
Select the correct answer. For what purpose are goods and services produced in a socialist economy? A. profits B. their usefulness C. to create demand D. to meet all consumer needs
Answer: B. their usefulness
Step-by-step explanation: A socialist economy may be described as a system whereby factors of production including goods and services are generally explored and processes in other to serve and benefit the people. In socialism, resources are deemed to be owned by all members of the public and as such total control resides with the government who makes decision on production, processing and sales of the resources to serve useful benefit for the people. The socialist econmoy opposes the capitalist form of government whereby goods and services are generated in other to yield profit.
Point F lies on line EG and point M lies on line EN. If F, E, and M are collinear, what must be true of these rays?
Answer:
Step-by-step explanation:
Some options would have definitely helped in answering this question. i am answering this question based on my knowledge. If F,E, and M are collinear, then EG and EN will form a line. Some options would have definitely helped in answering this question. i am answering this question based on my knowledge. If F,E, and M are collinear, then EG and EN will form a line.
how many squares would be in the 7th pattern?
Answer: I believe in would be 28.
Explanation:
Answer:
I would say that there would be 28 squares in the 7th pattern.
Step-by-step explanation:
If you look at how the pattern is gradually increasing every time you add the number located at the bottom to the previous pattern. So if that is the rule then you would add 7 more squares to the 21 squares in the 6th pattern. Then you add
21 + 7 and you get 28.
Ex: In the first pattern there is 1 square and then in the 2nd pattern you see that there is an additional 2 squares which is the number at the bottom of the actual pattern.
*Idk if this is the actual rule to the pattern so please do not come for me if I am wrong but this is the way my brain sees the patterns in the picture. I also went ahead and tried my theory for all the patterns in the picture and it works :)
I really hope that this helps you understand the question a bit more! :)
-10 + (-15) =
+
what do i do first
Answer:
-15 then -10 = -25 we can only take one sign that accompanies the -10 and put in front of the brackets.
Step-by-step explanation:
-10 + (-15) = -25
just like (-15) -10 = 25
This is because ( ) is order of parenthesis Brackets first.
Answer:
-10 + (-15) is -25 and you do subtraction first.
Step-by-step explanation:
Since negative + negative is negative, you ignore the plus sign and continue with the equation. So -10 minus -15 is -25.
Use slope-intercept form to graph each system of equations and solve each system.
Answer:
(0,3), graph is attached.
Step-by-step explanation:
We know that the first equation will increase 2 points in y for every 1 x, since the constant next to x is 2. We also know it's y-intercept will be 3.
As for the second equation, we know it will have no y and instead run through the y=3 line, crossing every value of x.
Graphing this, we see that these lines intersect at (0,3) so that's the solution to this system.
Hope this helped!
I got this wrong please help me get the right answer in the first little box marked in red. thx
Answer:
The inverse is 1/2x +2
Step-by-step explanation:
f(x) = 2x-4
y= 2x-4
To find the inverse
Exchange x and y
x = 2y-4
Solve for y
Add 4 to each side
x+4 = 2y
Divide by 2
x/2 + 4/2 = 2y/2
1/2x +2 = y
The inverse is 1/2x +2
Verify the identity. cot(x - pi/2) = -tan(x)
Answer:
See below.
Step-by-step explanation:
[tex]\cot(x-\frac{\pi}{2})=-\tan(x)[/tex]
Convert the cotangent to cosine over sine:
[tex]\frac{\cos(x-\frac{\pi}{2} )}{\sin(x-\frac{\pi}{2})} =-\tan(x)[/tex]
Use the cofunction identities. The cofunction identities are:
[tex]\sin(x)=\cos(\frac{\pi}{2}-x)\\\cos(x)=\sin(\frac{\pi}{2}-x)[/tex]
To convert this, factor out a negative one from the cosine and sine.
[tex]\frac{\cos(-(\frac{\pi}{2}-x ))}{\sin(-(\frac{\pi}{2}-x))} =-\tan(x)[/tex]
Recall that since cosine is an even function, we can remove the negative. Since sine is an odd function, we can move the negative outside:
[tex]\frac{\cos((\frac{\pi}{2}-x ))}{-\sin((\frac{\pi}{2}-x))} =-\tan(x)\\-\frac{\sin(x)}{\cos(x)} =-\tan(x)\\-\tan(x)\stackrel{\checkmark}{=}-\tan(x)[/tex]
2x.tg60= 10+csc30 plis
Answer:
[tex]2\sqrt{3}[/tex]
Step-by-step explanation:
I'm assuming the angles are in degrees.
[tex]2x \tan(60\º)=10+\csc(30\º)[/tex]
[tex]$2x\cdot \sqrt{3}=10+\frac{1}{\sin(30\º)} $[/tex]
[tex]$2x\cdot \sqrt{3}=10+\frac{1}{\frac{1}{2} } $[/tex]
[tex]$2x\cdot \sqrt{3}=10+2} $[/tex]
[tex]$x=\frac{12}{2\sqrt{3}} $[/tex]
[tex]$x=\frac{6}{\sqrt{3}} =\frac{6\sqrt{3}} {3} }=2\sqrt{3} $[/tex]
Use the drawing tool(s) to form the correct answer on the provided graph. The function f(x) is shown on the provided graph. Graph the result of the following transformation on f(x). f(x) + 6
Answer:
[tex]f(x)=x+6 \\[/tex]
Step-by-step explanation:
The transformation is a translation 6 units up.
[tex]f(x)=x+6 \\[/tex]
We can use the parent function f(x)=x, which is a linear function to graph this function.
Then just translate the function 6 units up.
Answer:
on the x-axis to the left -1 and on the y-axis up 4
Step-by-step explanation:
Start from the -2 on the y-axis and go up on the y-axis 6 times and you should be at 4 on the y-axis. But to finish the problem you have to figure out the first line.
To do that start from the -2 on the y-axis then count up till its on a corner in the graph (rise 4 up on the y-axis then to the right once) so the fraction is 4/1
so rise 6 on the y-axis, you should be at 4 then use the formula rise/run 4/1
step 1 go up 6 times y-axis
step 2 use 4/1 rise from the 4 on the y-axis the run 1 to the right
It was 100% when I did it
solve 3(11)× =3,993 for x
Hi there! :)
Answer:
[tex]\huge\boxed{x = 3}[/tex]
Given the equation:
[tex]3(11)^{x} = 3993[/tex]
Divide both sides by 3:
[tex](11)^{x} = 1331[/tex]
Rewrite both sides of the equation with a base of 11.
[tex]1331 = 11^{3}[/tex], therefore:
[tex](11)^{x} = 11^{3}[/tex]
x = 3.
Answer:
121
Step-by-step explanation:
121 x 33 = 3993
the adult human brain represents 2% of total body weight. write this percentage as a decimal.
Answer:
2% = 0.02Step-by-step explanation:
[tex]2\%=2\cdot\frac1{100}=\frac2{100}=0.02[/tex]
Answer:
2% as a decimal is 0.02
Step-by-step explanation:
Simplify the expression: 3⋅6−2+2
Hi there! Hopefully this helps!
-----------------------------------------------------------------------------------------------------
Answer: 18.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~|
|3 × 6 - 2 + 2.
|
|Multiply 3 and 6 to get 18
\/
18 - 2 + 2 = 18
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Subtract 2 from 18 to get 16.
16 + 2 = 18.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Then, add 16 and 2 to get, you guessed it, 18!Pablo graphs a system of equations. One equation is quadratic and the other equation is linear. What is the greatest
number of possible solutions to this system?
Answer:
greatest number of solutions is 2
Step-by-step explanation:
one is a parabola, the other is a line
so it can intersect in 0, 1, 2 points
guy i need help with this question also i got lik 20 more questions coming yall way
Answer:
A
Step-by-step explanation:
A linear function is a straight line
b,c,d all have curves so they are not linear functions
What is the measure of angle B?
Answer:
b = 60
Step-by-step explanation:
The sum of the angles of a triangle are 180
80+40+b = 180
Combine like terms
120+b =180
Subtract 120 from each side
b = 180-120
b = 60
Answer:
60°
Step-by-step explanation:
Recall that all triangles have an interior angle sum of 180. In other words:
[tex]\angle A+\angle B +\angle C = 180[/tex]
Plug in the angle values we know:
[tex](80)+(40)+\angle B = 180\\120+\angle B =180\\\angle B = 60\textdegree[/tex]
A graph has Quantity Demanded on the x-axis, from 0 to 60 in increments of 10, and Price on the y-axis, from 0 to 20 dollars in increments of 2 dollars and 50 cents. 2 lines with identical negatives slopes are shown. Line D is slightly lower than line D 1. This graph shows the quantity of t-shirts demanded at D and D1. The change in quantity demanded caused by a change in the price of t‐shirts is shown as a shift to the right of the demand curve. a shift to the left of the demand curve. movement along the demand curve.
Answer:
Movement along the demand curve
Step-by-step explanation:
edge 2021.
The change in price as shown in the graph is shown as movement along the demand curve.
What is demand and supply?The terms demand and supply are common themes in economics. They show the relationship between the amount that a seller wants to sell and the amount that a buyer wants to buy. A number of factors affect the demand curve.
The change in price as shown in the graph is shown as movement along the demand curve.
Learn more about demand and supply: https://brainly.com/question/13353440
A newborn blue whale weighs 3^7 an adult blue whale weighs 81 times a new way of the newborn how many kilograms does the dog blue away write your answer as a power of three
Answer:
3^11 kilogram
Step-by-step explanation:
We were told a newborn blue whale weighs 3^7
But an adult blue whale weighs 81 times a new way of the newborn this can be expressed below as
=81×3^7
This can be expressed in standard form as
3^4 × 3^7
Then we need to determine number of kilograms the adult blue whale weigh.
81=3^4
=3^11
Therefore, number of kilograms the adult blue whale weigh 3^11kg
simplify 3^2/3 x 3^4/5
Answer: [tex]243/5[/tex]
[tex]3^2/3(3^4)/5\\=9/3(3^4)/5\\=3(3^4)/5\\=(3)(81)/5\\=243/5[/tex]
Help me again please
Answer:
answer C (0,-9)
Step-by-step explanation:
the line passes through (0,-9)
Puzzle corner
Look Before You Leap!
See how long it takes you to work out the
following:
(1 x2)×(3 x 4)×(586)×(7 x 8) x (
9×0)
Answer:
0
Step-by-step explanation:
Notice that the last factor is null (9×0)
So the result will be null since any number that is multiplied by 0 equals 0.
