The graph shows the speed of sally the sloth. How long would it take Sally to travel 9 feet

Can someone please please help me. ?????

stira [4]

Answer:

#1

x intercept is -5

y intercept is -5

#2

y=8x

Step-by-step explanation:

6 0

3 years ago

Choose the correct simplification of (6x3 − 7x − 4) + (4x3 + 8x + 3). (5 points)

AleksAgata [21]

i'm pretty sure it's 10x^3 + x - 1

hope this helps

8 0

3 years ago

Five Identical semicircles are arranged as shown. Find the diameter of one circle

Arte-miy333 [17]

The diameter of one circle is 28 units

Find the diagram shown below:

Considering the semi-circle at the centre.

Let the unknown distance from the left be x:
Let the unknown distance from the right be y:

To get the value of "x"

x + 16 = 22

x = 22 - 16

x = 6

To get the value of "x"

16 +y = 22

y = 22 - 16

y = 6

Diameter of one of the circle = x + 16 + y

Diameter of one of the circle = 6 + 16 + 6

Diameter of one of the circle = 28

Hence the diameter of one circle is 28 units

Learn more on diameter of circle: brainly.com/question/23220731

6 0

2 years ago

Find the slope between the two points (6,8) (10,11) -3/4 3/4 19/16 4/3

Kazeer [188]

Answer:

Slope = $\frac{3}{4}$

Step-by-step explanation:

(x₁ , y₁) = (6 , 8) & (x₂ , y₂) = (10 , 11)

$Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\$

$= \frac{11-8}{10-6}\\\\=\frac{3}{4}$

5 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