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mixas84 [53]
3 years ago
13

Evaluate each expression if a=2, b=3 and c=4 A.) 2a+4b-c B.) 6(a+c)-b

Mathematics
1 answer:
djyliett [7]3 years ago
4 0

Answer:

Step-by-step explanation:

A.) 2a+4b-c:  Replacing a with 2, b with 3 and c with 4, we get:  

    2(2) + 4(3) - (4) = 4 + 12 - 4 = 12

B.) 6(a+c)-b:  Replacing a with 2 and c with 4, we get 6(2 + 4) - 3.

The work inside parentheses should be done first, resulting in 6(6) - 3.

This comes out to 33.

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9(x + 1) = 25 + x<br><br> x = 2<br> x = 3<br> x = 4<br> x = 5
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In 2 years, you want to have $5000 in your savings account. Find the amount you should deposit if the account pays 3% annual int
muminat

The amount you should deposit is $4709.18

Step-by-step explanation:

The formula for compound interest, including principal sum is

A=P(1+\frac{r}{n})^{nt} , where:

  • A is the future value of the investment/loan, including interest
  • P is the principal investment amount
  • r is the annual interest rate in decimal
  • n is the number of times that interest is compounded per unit t
  • t is the time the money is invested or borrowed for

∵ You want to have $5000 in your savings account in 2 years

∴ A = 5000

∴ t = 2

∵ The account pays 3% annual interest, compounded monthly

∴ r = 3% = 3 ÷ 100 = 0.03

∴ n = 12 ⇒ compounded monthly

- Substitute these values in the formula above

∴ 5000=P(1+\frac{0.03}{12})^{(12)(2)}

∴ 5000=P(1+0.0025)^{24}

∴ 5000=P(1.0025)^{24}

- Divide both sides by (1.0025)^{24}

∴ P = 4709.18

The amount you should deposit is $4709.18

Learn more:

You can learn more about the compounded interest in brainly.com/question/2514241

#LearnwithBrainly

3 0
3 years ago
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