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RideAnS [48]
3 years ago
14

Find the slope of the line passing through the points (-3,-8) and (5,6)

Mathematics
2 answers:
Mkey [24]3 years ago
7 0

Slope is the change in Y over the change in X:

Slope = (6 - -8) / (5 - -3)

Slope = (6+8) / (5+3)

Slope = 14/8

Slope = 7/4

NISA [10]3 years ago
6 0

Answer:

7/6

Step-by-step explanation:

Use the Formula: y2-y1/x2-x1 = 6-(-8)/5-(-3) = 6+8/5+3 = 14/8 = 7/6

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Suppose that you earned a​ bachelor's degree and now​ you're teaching high school. The school district offers teachers the oppor
stepan [7]

Answer:

Step-by-step explanation:

Answer:

a. The amount that is saved at the expiration of the 5 year period is $22,769.20¢

b. The amount of interest is $2,769.20¢

Step-by-step explanation:

Since the amount that is deposited every year for a period of five years is $4,000 and the rate of the interest is 6.5%. We can always calculate the amount that is saved at the expiration of the five years.

    We will first state the formula for calculating the future value of annuity:-

      Future value of annuity =

                      P[\frac{(1 + r)^{t}-1 }{r}]

   Where P is the amount deposited per year.

   r is the rate of interest

   t is the time or period

 

    and in this case, the actual value of P = $4,000

      rate of interest, r is 6.5% = 0.065

      time, t is 5 years.

   Substituting e, we have:

   Fv of annuity =

                          4,000[\frac{(1 + 0.065)^{5}-1 }{0.065 }]

   = 4,000 × [((1.065)^5)- 1/0.065]

 = 4,000 × [(1.37 - 1)/0.065]

 = 4,000 × (0.37/0.065)

 = 4,000 × 5.6923

 = $22,769.20¢

a. Therefore the amount that is saved at the end of the five (5) years is $22,769.20¢

b. To find the interest, we will calculate the amount of deposit made during the period of five years and subtract the sum from the current amount that is saved ($22,769.29¢).

  Since I deposited 4,000 every year for five years, the total amount of deposit I made at the period =

       4,000 × 5 = $20,000

  The amount of interest is then = $22,769.20¢ - $20,000 = $2,769.20¢

3 0
3 years ago
A line with a slope of 1/2 passes through the point (2, -1) what is the Equation of the line​
Sonja [21]

Answer:

y=1/2x-2

Step-by-step explanation:

Hope this helps!

5 0
3 years ago
Find the missing number based on the description below:
Nat2105 [25]

Answer:

The number is -2

Step-by-step explanation:

12 less than 7 times a number can be express as follows,

let the number = a

7a - 12

According to the question the number 7a - 12 is equals to 32 less than the product of - 3 and the number.

32 less than the product of -3 and the number can be express below.

-3a - 32. Therefore,

7a - 12 = -3a - 32

collect like terms

7a + 3a = - 32 + 12

10a = -20

divide both sides by 10

a = -20/10

a = -2

The number is -2

8 0
3 years ago
Find the length of side a<br><br> a A. 12 <br>B. 144 <br>C. 1 194 <br>D. 8​
lukranit [14]

Answer:

12

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Find the 11th term for : 64, -32, 16, -8<br>A . -.625<br>B. 0.625<br>C. .03125<br>D. -.03125​
MA_775_DIABLO [31]

Answer:

0.0625 is what i got

Step-by-step explanation:

64, -32, 16, --8, 4, -2, 1, -.5, .25, -.125, 0.0625

8 0
3 years ago
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