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?

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

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

Step-by-step explanation:

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

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

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

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

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

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

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

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

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.

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]

Answer: 61%

Step-by-step explanation:

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

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. :)

Answer:

The value of T₂₀ - T₁₅ is -20.

Step-by-step explanation:

Given :

To Find :

Using Formula :

General term of an A.P.

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

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]

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

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

Answer:

Step-by-step explanation:

The slope-intercept form:

Find the slope using given points:

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

The line is:

[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]

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

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.

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

Answer:

Step-by-step explanation:

T=29.16

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

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

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

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:

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

Answer:

8%

Step-by-step explanation:

570 / 7125 =  x / 100

Cross multiply

570 * 100 = 7125x

57000 = 7125x

Divide each side by 7125

8 = x

Answer:

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

1

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

Answer:

45 degrees

Step-by-step explanation:

Answer:0.11

Step-by-step explanation:

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

Answer:

480 Pennies.

Step-by-step explanation:

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

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