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3 years ago

Read and solve.

Mathematics

1 answer:

grigory [225]3 years ago

6 0

You would have to use multiplication to do this problem.

The number setence would be : 11,220 x 10

The answer would be: 112,200

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Clark and Lana take a 30-year home mortgage of $128,000 at 7.8%, compounded monthly. They make their regular monthly payments fo

svp [43]

Answer:

Step-by-step explanation:

From the given information:

The present value of the house = 128000

interest rate compounded monthly r = 7.8% = 0.078

number of months in a year n= 12

duration of time t = 30 years

To find their regular monthly payment, we have:

$PV = P \begin {bmatrix} \dfrac{1 - (1 + \dfrac{r}{n})^{-nt}}{\dfrac{r}{n}} \end {bmatrix}$

$128000 = P \begin {bmatrix} \dfrac{1 - (1 + \dfrac{0.078}{12})^{- 12*30}}{\dfrac{0.078}{12}} \end {bmatrix}$

128000 = 138.914 P

P = 128000/138.914

P = $921.433

∴ Their regular monthly payment P = $921.433

To find the unpaid balance when they begin paying the $1400.

when they begin the payment ,

t = 30 year - 5years

t= 25 years

$PV= 921.433 \begin {bmatrix} \dfrac{1 - (1 - \dfrac{0.078}{12})^{25*30}}{\dfrac{0.078}{12}} \end {bmatrix}$

PV = $121718.2714

C) In order to estimate how many payments of $1400 it will take to pay off the loan, we have:

$121718.2714 = \begin {bmatrix} \dfrac{1300 (1 - \dfrac{12.078}{12}))^{-nt}}{\dfrac{0.078}{12}} \end {bmatrix}$

$121718.2714 = 200000 \begin {bmatrix} (1 - \dfrac{12.078}{12}))^{-nt} \end {bmatrix}$

$\dfrac{121718.2714}{200000 } = \begin {bmatrix} (1 - \dfrac{12.078}{12}))^{-nt} \end {bmatrix}$

$0.60859 = \begin {bmatrix} (1 - \dfrac{12}{12.078}))^{nt} \end {bmatrix}$

$0.60859 = (0.006458)^{nt}$

$nt = \dfrac{0.60859}{0.006458}$

nt = 94.238 payments is required to pay off the loan.

How much interest will they save by paying the loan using the number of payments from part (c)?

The total amount of interest payed on $921.433 = 921.433 × 30(12) years

= 331715.88

The total amount paid using 921.433 and 1300 = (921.433 × 60 )+( 1300 + 94.238)

= 177795.38

The amount of interest saved = 331715.88 - 177795.38

The amount of interest saved = $153920.5

6 0

4 years ago

A ferry can travel 100 miles with the current in the same amount of time it takes to travel 60 miles against the current. If the

makvit [3.9K]

$\frac{100}{40+x} = \frac{60}{40-x} 
$
cross multiply
100(40-x) = 60(40 + x)
solve for x
x= 10

3 0

4 years ago

What fraction divided by 3 equals 3/24

podryga [215]

the fraction 8/1 because when dividing fractions you want to flip the second fraction aka 8/1 and multiply the two together.

ex:

3 ÷ 8/1

3/1 × 1/8

answer- 3/24

hope this helps bb ♡

6 0

3 years ago

You have to pick a marble twice. Explain what you must do to make the picking of the marbles independent of one another.

Serggg [28]

Answer:

You make it independent by putting it back.

Step-by-step explanation:

Independent probability is when picking something and then it does not affect the probability of the next pick

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3 years ago

Given the function

jeka94

Answer:

<h2>The domain is all real numbers except</h2><h2>x = 3 and x = 7.</h2>

Step-by-step explanation:

We know that in a fraction the denominator must be different from 0.

Therefore:

$f(x)=\dfrac{4x+17}{x^2-10x+21}\to\ D:x^2-10x+21\neq0\\\\x^2-7x-3x+21\neq0\\\\x(x-7)-3(x-7)\neq0\\\\(x-7)(x-3)\neq0\iff x-7\neq0\ \wedge\ x-3\neq0\\\\x-7\neq0\qquad\text{add 7 to both sides}\\x\neq7\\\\x-3\neq0\qquad\text{add 3 to both sides}\\x\neq3$

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3 years ago