Jay decides to take out a $12,000 student loan during his first year in college. If he is charged 4.5% interest that is compounded annually, how much will the total loan amount equal in four years when he graduates?

Answers

Answer 1

Answer:

2,160.00

Step-by-step explanation:

okay so first we have to find 4.5% of 12,000

which is 540, then multiply 540 by the four years and

540 x 4 = 2,160.00

Answer 2

The total loan amount would be equal to $14,310 in four years when Jay graduates.

Given the following data:

Principal = $12,000Interest rate = 4.5%Time = 4 years

To determine how much (future value) the total loan amount would equal in four years when he graduates:

Mathematically, compound interest is given by the formula:

[tex]A = P(1 + r)^{t}[/tex]

Where;

A is the future value.P is the principal or amount borrowed.r is annual interest rate.t is the number of years for the compound interest.

Substituting the given parameters into the formula, we have;

[tex]A = 12000(1 + 0.045)^{4}\\\\A=12000(1.045)^{4}\\\\A=12000(1.1925)[/tex]

Future value, A = $14,310

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Related Questions

piecewise functions. please help it’s for a test. please write the tables! i will give out brainliest!!

Answers

Answer:

Second Table:

1 | 0

3 | -2

Sorry I can’t do the rest I have to go study for my midterm! Hope this helps a bit

Step-by-step explanation:

3x^3-4x^2-28x-16 divided by 3x+2

Answers

Answer: x^2 - 2x - 8

help me with this question plzzzzzzz

Answers

Answer:

The base is 9.4 milliliters

Step-by-step explanation:

First, you would notice that they give you the perimeter of it. Meaning 51.4 was a sum of adding the height and base length twice. So you would take 51.4 and subtract 16*2 from it. Which would be 19.4. Next, since 19.4 would be both bases added, and they are both the same, you would do 19.4/2=9.4

The base is 9.4 milliliters.

Answer:

9.7

Step-by-step explanation:

P=2B+2H=51.4

B+H=25.7

H=16

B=25.7-16

B=9.7

Express 0.16 bar as a rational number

Answers

It’s would be 4/25


Mark as brainliest

socks cost $2 per pair. the cost of n pairs $2n. john says that the cost of 6 pairs is $26 and the cost of 7 pairs is $27. is this correct? what did john do wrong?​

Answers

Answer:

John is incorrect. He did not multiply.

Step-by-step explanation:

If a pair of socks cost $2, then the total cost of the socks if you buy n pairs is $2n. In the expression 2n, the 2 is the dollar amount and the n is the number of pairs.

1 pair is $2.

2 pair are $4.

3 pair are $6.

4 pair are $8.

5 pair are $10.

6 pair are $12.

7 pair are $14.

13 pair are $26.

There is no way to spend $27 on these socks.

25 pair are $50.

Hopefully, you can use logic, your prior knowledge of making purchases of multiple items and also algebra to see you must multiply the number of items you're buying times the cost per item.

6 pair are $12 and 7 pair are $14. John is wrong. He did not multiply.

which is the better deal $2.98 for 2 liters of soda or $7.40 for 5 liters? find the unit price of the better deal on the coloring sheet.

Answers

Answer:

7.40 for 5 liters

Step-by-step explanation:

2.98/2= 1.49

7.40/5= 1.48

Hope this Helps  :)

Can u mark me the  brainliest

Ryan has a collection of 1,200 pennies.

25% are dated before 1980
35% are dated from 1980-2000
the rest are dated after 2000
How many pennies in Ryan's collection are dated after 2000?

Answers

Answer:

480 Pennies.

Step-by-step explanation:

25% (1980) + 35% (1980-2000) = 60%

40% (2000+) Percent of 1200 is 480 Pennies.

The 17th term of an arithmetic sequence is 30, and the common difference is 4. Find the 16th term
30
34
26
24

Answers

The 17th term of the arithmetic series would exceed the 16th term by the common difference

17th term = 16th term + 4

Hence the 16th term is 30 - 4 = 26

Can someone pleaseee answer this

Answers

Answer:

Answer is in the attached file.

Answer:

  x = 80

Step-by-step explanation:

The exterior angle is equal to the sum of the remote interior angles.

  2x -48 = x +32

  x = 80 . . . . . . . . . . add 48 -x to both sides

Use the vertical line test to determine whether the graph is the graph of a function.
AY
Is this the graph of a function?
No
Yes

Answers

Answer:

No is the answer:)

Step-by-step explanation:

Draw a straight line down the middle and if it touches the purple line twice its not a function

Need help ASAP!!! Use the function below to find the stuff in the picture!!!

Answers

f(x) = 3^x, f(-2)
Substitute
f(-2) = 3^ -2
= 1/9
Therefore it’s b

Answer: B. 1/9

Step-by-step explanation:

Plug in -2 to the ^x

f(x) = 3^-2

3^-2 = 0.111111111111

0.1111111111 = 1/9

Correct me if I am incorrect.

Solve for x.
3 + 9x = 11x - 7

Answers

Answer:

3 + 9x = 11x - 7

simplify

9x + 3 = 11x - 7

subtract 11x from both sides

-11x             -11x

-2x + 3 = -7

get rid of constants first by subtracting by 3 from both sides

-3            -3

-2x = -10

divide both sides by -2 since that is the inverse operation of multiplication

/-2    /-2

X = 5

Answer:

x=5

Step-by-step explanation:

Hi, first the thing to do here is simple,

step 1, collecting like terms

3+9x=11x-7

11x-9x=3+7

2x=10

then divide both by 2.

x= 5

The equation 750(1.03)4t=1,000 can be used to find the amount of time, t, in years, it takes for a savings account compounded quarterly to reach $1,000. In order to solve the equation 750(1.03)4t=1,000, a student graphs the equations y=750(1.03)4t and y=1,000. What is the approximate solution to the equation 750(1.03)4t=1,000?

Answers

Answer:

Step-by-step explanation:

T=29.16

What is the sum of the following
(k – 4) and (k + 3)

Please fast needed

Answers

Answer:

2k-1

Step-by-step explanation:

(k-4)+(k+3)

k+k=2k

-4+3=-1

Answer:

2k-1

Step-by-step explanation:

hope this helps! :D

have a miraculous day!! <3

A furniture store donated a percentage of every sale to hospitals. The total sales were ​$7,125 so the store donated ​$570. What percent of 7,125 was donated to hospitals

Answers

Answer:

8%

Step-by-step explanation:

570 / 7125 =  x / 100

Cross multiply

570 * 100 = 7125x

57000 = 7125x

Divide each side by 7125

8 = x

Find the equation of the line passing through the points (0,7) and (5,-3).

Answers

Answer:

y = - 2x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 7 ) and (x₂, y₂ ) = (5, - 3 )

m = [tex]\frac{-3-7}{5-0}[/tex] = [tex]\frac{-10}{5}[/tex] = - 2

The line crosses the y- axis at (0, 7 ) ⇒ c = 7

y = - 2x + 7 ← equation of line

0.3 of what number is 36

Answers

0.3% of 12,000 = 36 Correct ans

Answer:0.11

Step-by-step explanation:

i need help on this assignment

Answers

Answer:

45 degrees

Step-by-step explanation:

7+4(r+3)=9r-6
show work pls AND HELP ASAP

Answers

[tex] \: \: \: \: \: \: [/tex]

[tex] = \: \: \: \: r = 5[/tex]

Step-by-step explanation:

[tex]7 + 4(r + 3) = 9r - 6[/tex]

distribute 4 through the parentheses

[tex]7 + 4r + 12 = 9r - 6[/tex]

add numbers

[tex]19 + 4r = 9r - 6[/tex]

move the variable to the left hand side and change its sign

[tex]19 + 9r = - 6[/tex]

move the constant to the right hand side and change its sign

[tex]4r - 9 = - 6 - 19[/tex]

collect like terms

[tex] - 5r = - 6 - 19[/tex]

calculate the difference

[tex] - 5r = - 25[/tex]

divide both sides of the equation by -5

[tex] = \: \: \: \: r = 5[/tex]

hope it helps

Here's the question. ​

Answers

Answer:

The value of T₂₀ - T₁₅ is -20.

Step-by-step explanation:

Given :

>> If for an A.P, d = -4

To Find :

>> T₂₀ - T₁₅

Using Formula :

General term of an A.P.

[tex]\star{\small{\underline{\boxed{\sf{\red{ T_n = a + (n - 1)d}}}}}}[/tex]

>> Tₙ = nᵗʰ term>> a = first term>> n = no. of terms>> d = common difference

Solution :

Firstly finding the A.P of T₂₀ by substituting the values in the formula :

[tex]{\dashrightarrow{\pmb{\sf{ T_n = a + (n - 1)d}}}}[/tex]

[tex]{\dashrightarrow{\sf{ T_{20} = a + (20 - 1) d}}}[/tex]

[tex]{\dashrightarrow{\sf{ T_{20} = a + (19)d}}}[/tex]

[tex]{\dashrightarrow{\sf{ T_{20} = a + 19 \times d}}}[/tex]

[tex]{\dashrightarrow{\sf{ T_{20} = a + 19d}}}[/tex]

[tex]{\star \: {\underline{\boxed{\sf{\pink{ T_{20} = a + 19d}}}}}}[/tex]

Hence, the value of T₂₀ is a + 19d.

[tex] \rule{190}1[/tex]

Secondly, finding the A.P of T₁₅ by substituting the values in the formula :

[tex]{\dashrightarrow{\pmb{\sf{ T_n = a + (n - 1)d}}}}[/tex]

[tex]{\dashrightarrow{\sf{ T_{15}= a + (15 - 1) d}}}[/tex]

[tex]{\dashrightarrow{\sf{ T_{15}= a + (14) d}}}[/tex]

[tex]{\dashrightarrow{\sf{ T_{15}= a + 14 \times d}}}[/tex]

[tex]{\dashrightarrow{\sf{ T_{15}= a + 14d}}}[/tex]

[tex]{\star{\underline{\boxed{\sf \pink{ T_{15}= a + 14d}}}}}[/tex]

Hence, the value of T₁₅ is a + 14d

[tex] \rule{190}1[/tex]

Now, finding the difference between T₂₀ - T₁₅ :

[tex]{\dashrightarrow{\pmb{\sf{T_{20} - T_{15}}}}}[/tex]

[tex]{\dashrightarrow{\sf{(a + 19d) - (a + 14d)}}}[/tex]

[tex]{\dashrightarrow{\sf{a + 19d - a - 14d}}}[/tex]

[tex]{\dashrightarrow{\sf{a - a + 19d - 14d}}}[/tex]

[tex]{\dashrightarrow{\sf{0+ 19d - 14d}}}[/tex]

[tex]{\dashrightarrow{\sf{19d - 14d}}}[/tex]

[tex]{\dashrightarrow{\sf{5 \times - 4}}}[/tex]

[tex]{\dashrightarrow{\sf{ - 20}}}[/tex]

[tex]{\star \: \underline{\boxed{\sf{\pink{T_{20} - T_{15} = - 20}}}}}[/tex]

Hence, the value of T₂₀ - T₁₅ is -20.

[tex]\underline{\rule{220pt}{3.5pt}}[/tex]

Lary works in a automobile company. They just shipped out 5 brand new cars. The total cost of these cars was $1,067,800. If they all cost the same amount,what was the price of each car ?
She your work.

Answers

You will have to divide 1,067,000 by 5.
1,067,000/5= 213,400 $ per each car

Shawnte bought a rug for the hall of her apartment. The rug is 3 feet wide by 18 feet long. What is the area of the rug?

Andrea is making potato salad for a buffet luncheon. The recipe says the number of servings of potato salad will be twice the number of pounds of potatoes. If she buys 30 pounds of potatoes, how many servings of potato salad will there be?

According to NCAA regulations, the dimensions of a rectangular basketball court must be 94 feet by 50 feet. What is the area of the basketball court?

Answers

Break up the problem, It will still come out as the same answer.

18x3=(10+8)3

10x3 + 8x3

30 + 24

54 Feet²

Hope This Helps

Answer:

1. 54 feet squared

2. 60 servings

3. 4700 feet squared

Step-by-step explanation:

1. 3x18

2. 30x2

3. 94x50

need help with algerba 2

Answers

F(4)4 is the x value 4. Find where the line is on th y axis at x = 4

The dot is between 60 and 70 so the answer would be 64

Answer: D. 64

Answer:

the answer is d

Step-by-step explanation:

if you look on the graph where the x-value equals 4, the y-value of that point is your answer and d is the only value in that range

2. The wholesale price of the skirt is $12 and the retail price is $24.
How much is the markup?
nah
So ein
What percent of the wholesale price is the markup?

Answers

With the sale price being $12 and the retail price being 24, it is a 12 dollar markup or 50% considerably.

Find the median and mode of the following data:
a) 5, 9, 3, 4, 9, 2, 1, 3, 6.
b) 60, 67, 62, 61, 63, 65, 64, 68, 60.

Answers

A is 4 and b is 63 have a good day
A) To find the median list the numbers in ascending order. (1, 2, 3, 3, 4, 5, 6, 9, 9) The middle number is the median. So the answer is 4.
The mode is the number that appears the most which is 3 and 9 because they both appear twice.
B) (60, 60, 61, 62, 63, 64, 65, 67, 68) The middle number is 63 so that is the median.
The mode is 60 as it appears the most in the list.
Pls give me the brainliest!

Rebah and her twin brother are planning a birthday party at Pizza Pete's. There is a S64.75 charge to reserve a party room plus $4.95 per person charge for lunch
Explain how to find the greatest number of people that can attend the party for $175.00. Show your work, and state the number of people.
QUICKKK PLZZ

Answers

Answer:

22 people

Step-by-step explanation:

Step 1: I first subtracted $64.75 from $175.00 so that I knew how much would be leftover after the charge of the room, because you can't count that cost. When I did this, I got $110.25. So then I knew how much was paid other then for the room.

Step 2: I then divided $110.25 by $4.95, so I would get the amount of people who went to the party, since each person costs $4.95. When I divided, I got 22.

So that would be my answer. I hope that helps. :)

A line passes through the points (0, 2) and (2, 10). What is its equation in slope-intercept form?

Answers

Answer:

y = 4x + 2

Step-by-step explanation:

The slope-intercept form:

y = mx + b, where m is the slope, b is the y-intercept

Find the slope using given points:

m = (10 - 2)/(2 - 0) = 8 / 2 = 4

The y-intercept is given with point (0, 2):

b = 2

The line is:

y = 4x + 2
(0,2)(2,10)

[tex]\\ \sf{:}\Rrightarrow m=\dfrac{10-2}{2-0}=\dfrac{8}{2}=4[/tex]

Put in slope intercept form

[tex]\\ \sf{:}\Rrightarrow y=mx+b[/tex]

[tex]\\ \sf{:}\Rrightarrow 2=4(0)+b[/tex]

[tex]\\ \sf{:}\Rrightarrow 2=b[/tex]

Equation of the line

[tex]\\ \sf{:}\Rrightarrow y=4x+2[/tex]

Find each percent increase round to the nearest percent from 86 books to 140 books

Answers

Answer: 61%

Step-by-step explanation:

use the slope formula to show work​

Answers

Answer:

[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{10 - 4}{ - 6 - 3} = \frac{6}{ - 9} = - \frac{2}{3} [/tex]

1

please please i beg for help omg

Answers

The goal is to make the bases the same and so 27 can become 3^3
3^5x = 3 ^ 3(2x-4)
This becomes
3^5x= 3 ^6x-12
Now that the bases are the same, set the exponents equal to one another
5x= 6x-12
Subtract 6x on both sides
-x= -12
Divide -1 on both sides
X=12
#brainliest????

Answer:

x = 12

Step-by-step explanation:

First:

[tex]27=9*3=3*3*3=3^3[/tex]

If you rewrite the 27 into base 3 like that:

[tex]3^{5x}=3^{(3)\times(2x-4)[/tex]

Now that both sides have the same base, you can cancel them out. This is the simplest example of that I can think of:

[tex]2^x=2^x[/tex]

Here, the exponent obviously has to be equal for this to be true, right? The exponents do have to be equal, so you can drop the bases completely:

[tex]x=x[/tex]

Same for the problem we have above. It's a base 3 on both sides, and for them to be equal, the exponents also have to be equal.

[tex]3^{5x}=3^{(3)\times(2x-4)}\\5x=(3)\times(2x-4)\\5x=3(2x-4)[/tex]

Now, you can simply solve for x.

[tex]5x=6x-12\\-1x=-12\\x=12[/tex]

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