All categories

4 years ago

Write a verbal expression for 4d cubed -10

Mathematics

2 answers:

SIZIF [17.4K]4 years ago

4 0

I believe you just answers it!! Four d cubed minus 10

Misha Larkins [42]4 years ago

3 0

Four d cubed minus 10

You might be interested in

Amy drive 100 miles. She stopped at a rest area for a break 2/3 of the way on her drive. How many miles did Amy drive before she

igor_vitrenko [27]

33.33333 :))))))))))))

4 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

4 years ago

I need help it's geometry

nekit [7.7K]

Step-by-step explanation:

$\sin(45) = \frac{x}{5} \\ \frac{1}{ \sqrt{2} } = \frac{x}{5} \\ x = \frac{5}{ \sqrt{2} } = 3.535$

$\sin(45) = \frac{y}{5} \\ y = \frac{5}{ \sqrt{2} } = 3.535$

3 0

3 years ago

Read 2 more answers

Please answer correctly

TiliK225 [7]

Answer:

Step-by-step explanation:

Since side BC = side AD (because opposite side of a parallelogram are congruent)

Angle C = angle A(because opposite angles of a parallelogram are congruent)

side DC = side AB(because the opposite sides of a parallelogram are congruent. Therefore,

Triangle ABD is congruent to triangle CDB by the postulate of SAS which means side angle side.

3 0

3 years ago

The mean weight of five complete computer stations is 167.2 pounds. The weights of four of the computer stations are 158.4 pound

Lynna [10]

The mean weight of five complete computer stations is 167.2 pounds.

The weights of four of the computer stations are 158.4 pounds, 162.8 pounds, 165 pounds, and 178.2 pounds.

We have to determine the weight of fifth computer station.

Let the weight of fifth computer station be 'x' pounds.

Mean is calculated by sum of all the observations divided by the total number of observations.

So, $\frac{158.4+162.8+165+178.2+x}{5}=167.2$

$\frac{664.4+x}{5}=167.2$

${664.4+x}=167.2 \times 5$

${664.4+x}=836$

x= 171.6 pounds

The weight of fifth computer station is 171.6 pounds.

3 0

3 years ago

Read 2 more answers