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2 years ago

Answer please Solve for x

Mathematics

1 answer:

Maurinko [17]2 years ago

3 0

Answer:

x = 9 1/3

Step-by-step explanation:

We can use the ratios of similar triangles to solve

x 7

----------- = ------------

x+8 13

Using cross products

13x = 7(x+8)

Distribute

13x = 7x+56

Subtract 7x from each side

13x-7x = 7x+56-7x

6x = 56

Divide each side by 6

6x/6 = 56/6

x= 28/3

x = 9 1/3

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Show your work<br><br> 7(x-8)=2x-31

victus00 [196]

Answer:

x=5

Step-by-step explanation:

7 (x-8)=2x-31

Distribute the 7 to the x and -8 (basically multiple 7 with the x and -8)

7x-56=2x -31

Drag the 2x over to the other subtracting it from 7x.

7x-2x-56=-31

5x-56=-31

Drag the 56 to the other side and add it to -31

5x= -31+56 (or 56-31)

5x= 25

Divide 5x from 25 to get your X

x=25/5

x=5

Hope this helps!!

3 0

3 years ago

Enos took out a 25-year loan for $135,000 at an APR of 6.0%, compounded monthly, and he is making monthly payments of $869.81. W

Alborosie

Present value = 135000
Monthly interest, i = 0.06/12 = 0.005
Monthly payment, A= 869.81

Future value of loan after 16 years
$F=P(1+i)^n$ [compound interest formula]
$=135000(1+.005)^{16*12}$
$=351736.652$

Future value of payments after 16 years
$\frac{A((1+i)^n-1)}{i}$
$=\frac{869.81((1+0.005)^{16*12}-1)}{0.005}$
$=279287.456$

Balance = future value of loan - future value of payments
=351736.652-279288.456
= $ 72448.20

Note: the exact monthly payment for a 25-year mortgage is
$A=\frac{P(i*(1+i)^n)}{(1+i)^n-1}$
$=\frac{135000(0.005*(1+0.005)^{25*12}}{(1+0.005)^{25*12}-1}$
$=869.806892$

Repeating the previous calculation with this "exact" monthly payment gives
Balance = 72448.197, very close to one of the choices.

So we conclude that the exact value obtained above differs from the answer choices is due to the precision (or lack of it) of the provided data.

The closest choice is therefore <span>$72,449.19</span>

6 0

2 years ago

Read 2 more answers

What’s the correct answer for this?

Angelina_Jolie [31]

Answer:

1) 6.946 to the nearest tenth is 6.9

2) 2.299 to the nearest hundredth is 2.30 (either way it become 0)

3) 0.951 to the nearest whole number is 1

4) 6.399 to the nearest hundredth is 6.40

5) 1.989 to the nearest tenth is 2

3 0

2 years ago

If 42 pushups is done in 3 minutes how many can be done in 5

tresset_1 [31]

So first find out how many can be done in 1 minute.
In an equation it would be 3x=42
Divide by 3
x=14
So 14 pushups can be done in 1 minute (congratulations to this person I can barely do one haha)
So now you multiply what you can do in 1 minute by 5 minutes.
14x5= 70 pushups

4 0

2 years ago

Find the dimensions of a rectangle whose perimeter is 22 meters and whose area is 28 square meters

kondaur [170]

You can solve this by finding all of the factors of 28 and seeing which ones add up to 22 when doubled.

The factors of 28 are as follows:

28 x 1 28(2) + 1(2) = 56 + 2 = 58 ≠ 22
14 x 2 14(2) + 2(2) = 28 + 4 = 32 ≠ 22
7 x 4 7(2) + 4(2) = 14 + 8 = 22

The dimensions of the rectangle are 4 x 7.

8 0

3 years ago