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3 years ago

How to find the designated sum in arithmetic series

Mathematics

1 answer:

Natali5045456 [20]3 years ago

6 0

Answer:

You need more data

Step-by-step explanation:

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Convert the radian measure to degree measure. use the value of π found on a calculator, and round answers to two decimal places.

Rina8888 [55]

For converting radian to degree we simply place pi as 180 degree.

So the given angle in radians = $\frac{-19 \pi}{6}$

Now can place pi = 180 degree in this angle.

So angle in degree = $\frac{-19 * 180}{6} = -19 * 30 = -570$

So given angle in degree = -570 degree

3 0

3 years ago

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

There is a scale model of the White House in Tobu World Square in Japan. The scale used for the model is 1:25. The height of the

Cloud [144]

Answer:

3.4 multiply 1-4

Step-by-step explanation:

there is a scale of white house

3 0

3 years ago

20 point REWARD + Brainleist <3

jek_recluse [69]

B the answer is b because yiu do like add e square 27 +* 9 + x = 8 -/273/73

5 0

2 years ago

Read 2 more answers

Reggie lost 3 spaceships in level 3 of a video game. He list 30 points for each spaceship. When he completed level 3, he earned

kobusy [5.1K]

His score changed by 110 points.
Explanation: 3*30=90 & 200-90=110 points

5 0

3 years ago