All categories

3 years ago

Plzzz help with this one question

Mathematics

1 answer:

trapecia [35]3 years ago

4 0

Answer

B
if you plug in 10 for the Y, you’ll figure that you must subtract 10 from both sides. the. you divide by 2 which makes it an automatic 0.

You might be interested in

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

3 years ago

Find the sum of (63−4)+(−23+9)=

frutty [35]

Answer:

Step-by-step explanation

Hope this helps :)

8 0

2 years ago

Read 2 more answers

Find the area. The formula is A=1/2bh

Lemur [1.5K]

Answer:

Step-by-step explanation:

1/2bh

9 x 4 = 36

36/2 = 18

area = 18

4 0

2 years ago

Kenny has $1,400 in the bank. He earns $150 every week at his afterschool job. What is the rate of change for the scenario descr

Vadim26 [7]

<span>The rate of change would be equal to the amount of money that Kenny is earning every week, since there are no expenses that are removing money from his account. In this case, it would be the $150 that he is putting into the account weekly.</span>

6 0

3 years ago

Find the volume of the specified cone. Use 3.14, and round your answer to the nearest whole number.

Xelga [282]

The formula for the volume of a cone is V=(1/3)πr^2h.
To find r (radius) divide the diameter by 2, giving you 2.5 cm.
Plug in the numbers now !
V=(1/3)(3.14)(2.5^2)(9)
V=(1/3)(3.14)(6.25)(9)
V=(1/3)(176.625)
V=58.875
Therefore, the volume of the cone is about 59cm^3 :)

4 0

3 years ago

Read 2 more answers

Plzzz help with this one question​

Plzzz help with this one question