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3 years ago

What is the measure of angle X? Enter your answer in the box. M

Mathematics

2 answers:

slava [35]3 years ago

8 0

Answer:

x = 47

Step-by-step explanation:

Every triangle's interior angles add up to 180°.

Let's make an equation.

x + 102 + 31 = 180

x + 133 = 180

x = 47

Wewaii [24]3 years ago

6 0

Answer:

X = 47 degrees

Step-by-step explanation:

The reason is because the total degrees in a triangle is 180 and 102 + 31 is equal to 133 degrees which then you take and subtract it from 180 which gives you 47 degrees.

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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 $72,449.19

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3 years ago

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