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3 years ago

14

Frank has devised a formula for his catering business that calculates the number of meatballs he needs to prepare.

1 answer:

-Dominant- [34]3 years ago

5 0

Answer:

The answer is " $m=4(25)+2(5)\\\\$ ".

Step-by-step explanation:

Please find the complete question in the attached file.

A party of 20 adults and 5 children needs 90 meatballs. A party with 25 adults and 5 children needs 110 meatballs. $\to m=4(20)+2(5)\\\\\to m=80+10\\\\\to m=90\\\\\text{The final answer is : }\bold{ m=4(20)+2(5)}$

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3 years ago

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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Step-by-step explanation:

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