Solve the differential equation: dy/dx = 4y2x

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

6 0

3 years ago

Read 2 more answers

A professor using an open source introductory statistics book predicts that 10% of the students will purchase a hard copy of the

Likurg_2 [28]

Answer: The professor was not accurate with his hypothesis.

Null hypothesis: P1 = 12.5%, P2 = 42.5%, P3 = 45%

The alternate hypothesis: At least one proportion of the student will differ from the others.

Step-by-step explanation: To check if the professors hypothesis were inaccurate.

What percentage of student bought a hard copy of the book.

(25 ÷ 200) × 100 = 12.5%

What percentage of the student printed it from the web.

(85 ÷ 200) × 100 = 42.5%

What percentage of the students read it online.

(90 ÷ 200) × 100 = 45%

This means that the professor was not accurate with his hypothesis. Because the proportion of student in his hypothesis was not the same in the actual.

Therefore; the null hypothesis are

P1 = 12.5%, P2 = 42.5%, P3 = 45%

The alternative hypothesis will state that at least one of the proportion will be different from the others.

5 0

3 years ago

Given the equation kx – 17 = 51 + x, where k=1, solve for X.

IgorC [24]

Answer:

No solution for x, when k = 1
x = 68/(k - 1), when k≠ 1

Step-by-step explanation:

Given the equation

kx – 17 = 51 + x, where k = 1,

Solve for x:

1*x - 17 = 51 + x
x - 17 = x + 51
x - x = 51 + 17
0 = 68,

Incorrect equation, no solution for x when k=1

Solving for x when k ≠ 1

kx - 17 = 51 + x
kx - x = 51 + 17
x(k - 1) = 68
x = 68/(k - 1)

4 0

2 years ago

*20 POINTS* PLEASE HELP ASAP! NUMBER 8 PLEASE!!

MrRissso [65]

Answer:

120×5 gallons of gas

Step-by-step explanation:

5 0

3 years ago

Write an equation of the line containing the given point and parallel to the given line. Express your answer in the form y = mx

VikaD [51]

Hello :
6x+y = 8
y = -6x+8 m= -6(same slope 'parallel')
an equation is : y-9 = -6(x-8)

8 0

3 years ago