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Burka [1]
3 years ago
8

Need help asap !!!! It also said round to the nearest tenth

Mathematics
1 answer:
Over [174]3 years ago
4 0

Answer:

4524.9

Step-by-step explanation:

<u>Area of a parallelogram:</u>

A = bh

A = 63 x 90

A = 5670

<u>Area of half-circle:</u>

A = (πr²)/2

A = (π x 27²)/2

A = (π x 729)/2

A = 729/2π

<u>Combined:</u>

5670 - 729/2π

4524.9

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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
3 years ago
Plzz help!!!!<br><br> Which set of ordered pairs corresponds to the graph?
adelina 88 [10]

Answer:

Option 3rd is correct

Step-by-step explanation:

(1,-6),(2,-4),(2,-2),(4,-2),(6,0)

5 0
3 years ago
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Please help! thank you!​
anyanavicka [17]

Answer:

B. r=7.5

yan po ang correct answer

7 0
2 years ago
Which of the following pairs of terms are like terms?
Rina8888 [55]

Answer:

If the two beside the p in d is an exponent I believe that would be correct. if not sorry

8 0
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What is 12 divided by 22
Yuki888 [10]

12 divided by 22 is a repeating decimal

12 ÷ 22 = 0.545454......

Hope this helps you

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7 0
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