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2 years ago

7

Solve the inequality. -6n > 54

1 answer:

Vika [28.1K]2 years ago

6 0

Answer:

n < 9

Step-by-step explanation:

Solving an inequality is just like solving an equation, one uses inverse operations. The only difference is that when one multiplies or divides by a negative number, one must remember to flip the inequality sign to ensure that the expression remains true.

$-6 n > 54$

$/ (-6)$

$n < 9$

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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

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3 years ago