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Arte-miy333 [17]
4 years ago
8

This is a two-step equation. Steps: first add or subtract, then divide or multiply. 1. 5x - 7 = 48 2. 7n - 2 = 54 3. -4y + 7 = -

21 4. X/2 + 5 = 12 5. X/3 - 7 = 13 6. -7 - 2 = 33 7. -3x - 8 = -41 8. 3n - 7 = 35 9. 7y + 9 = -47 10. -8x + 4 = 68 11. 4n - 7 = -43 12. 5x - 7 = 108 13. 8 - 5w = -37 14. 42 = 18 + 4n 15. 70 - 6x = 40
Mathematics
1 answer:
Bumek [7]4 years ago
5 0

1. 5x - 7 = 48

5x = 48 + 7 = 55

x = 55/5 = 11

2. 7n - 2 = 54

7n = 54 + 2 = 56

n = 56 / 7 = 8

3. -4y + 7 = -21

-4y = -21 - 7 = -28

y = -28 / -4 = 7

4. x/2 + 5 = 12

x/2 = 12 - 5 = 7

x = 7 * 2 = 14

5. x/3 - 7 = 13

x/3 = 13 + 7 = 20

x = 20 * 3 = 60

6. -7 - 2 = 33 <- did you type this wrong?

-7x - 2 = 33

-7x = 33 + 2

-7x = 35

x = 5

7. -3x - 8 = -41

-3x = -41 + 8 = -33

x = -33 / -3 = 11

8. 3n - 7 = 35

3n = 35 + 7 = 42

n = 42 / 3 = 14

9. 7y + 9 = -47

7y = -47 - 9 = -56

y = -56 / 7 = -8

10. -8x + 4 = 68

-8x = 68 - 4 = 64

x = 64 / -8 = -8

11. 4n - 7 = -43

4n = -43 + 7 = -36

n = -36 / 4 = -9

12. 5x - 7 = 108

5x = 108 + 7 = 115

x = 115 / 5 = 23

13. 8 - 5w = -37

-5w = -37 - 8 = -45

w = -45 / -5 = 9

14. 42 = 18 + 4n

4n = 42 - 18 = 24

n = 24 / 4 = 6

15. 70 - 6x = 40

-6x = 40 - 70 = -30

x = -30 / -6 = 5

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Dave has $8000 to invest for 15 years. He finds a bank that offers an interest rate of 3.1% compounded monthly. How much money w
ioda

Dave will have $12,728 after 15 years, if he has $8000 to invest for 15 years. He finds a bank that offers an interest rate of 3.1% compounded monthly.

Step-by-step explanation:

The given is,

                 Investment = $ 8000

               No. of years = 15 years

             Interest rate, i = 3.1 %

                 ( compounded monthly )  

Step:1

          For for calculating future value with compound interest monthly,

                                     A = P (1 +\frac{r}{n})^{nt}.................(1)

         Where,

                     A = Future amount

                     P = Initial investment

                     r = Rate of interest

                    n = Number of compounding in a year

                     t = Time period

Step:2

           From given values,

                           P = $8000

                            r =  3.1%

                            t = 15 years

                            n = 12 ( for monthly)

           Equation (1) becomes,

                          A = 8000( 1+\frac{0.031}{12} )^{(12)(15)}

                              = 8000 (1+0.002583)^{180}

                              = 8000(1.002583)^{180}

                              = 8000(1.591059)

                              =12728.48

                           A = $ 12728.48

Result:

           Dave will have $12,728 after 15 years, if he has $8000 to invest for 15 years. He finds a bank that offers an interest rate of 3.1% compounded monthly.

                             

       

8 0
4 years ago
(20,-3) (19,-20) formula is: y2-y1/x2-x1
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Answer:

17

Step-by-step explanation:

The first thing to do is plug in the numbers for the equation. Starting with:

[-20-(-3)]/(19-20)

When you answer that you simplify the answer to

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You answer what is in the parenthesis first.

(-17)/(-1)

After this step you simplify.

17.

The answer is seventeen because any number over 1 is just the number. For example, 3/1=3. The answer is positive because the negative in the numerator and denominator cancel eachother out. leaving the answer as 17.

6 0
3 years ago
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