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erastova [34]
3 years ago
7

Raoul saves $14.50 each month for 3 months. He puts his money in the bank and earns $0.33 interest . Hector puts \$3.60 e each w

eek in his piggy bank for 12 weeks . How much more money does Raoul have at the end than Hector? Tell how you found your answer.
Mathematics
1 answer:
Norma-Jean [14]3 years ago
4 0

Answer:

$0.63

Step-by-step explanation:

Raoul saves $14.50 each month for 3 months. Total amount saved is 14.50 * 3 = $43.50

He earned an interest of $0.33.

The total amount of money he has is thus: 43.50 + 0.33 = $43.83

Hector puts $3.60 each week for 12 weeks. Total amount save by Hector is thus 3.60 * 12 = $43.2

Now we are asked to get how much money Raoul has. To get this, we simply subtract the amount of money Hector has from that of Raoul

That would be 43.83 - 43.2 = $0.63

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3 years ago
You decide to put $2,000 in a savings account to save for a $3,000 downpayment on a new car. If the account has an interest rate
DanielleElmas [232]

It takes 10.155 years until you have $3,000 ⇒ 3rd

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 (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 decide to put $2,000 in a savings account

∴ P = 2000

∵ You want to save for $3,000

∴ A = 3000

∵ The account has an interest rate of 4% per year and is

   compounded monthly

∴ r = 4% = 4 ÷ 100 = 0.04

∴ n = 12 ⇒ compounded monthly

- Substitute all of these values in the formula above to find t

∵ 3000=2000(1+\frac{0.04}{12})^{12t}

- Divide both sides by 2000

∴ 1.5=(1+\frac{1}{300})^{12t}

∴ 1.5=(1\frac{1}{300})^{12t}

- Change the mixed number to an improper fraction

∴ (1.5)=(\frac{301}{300})^{12t}

- Insert ㏒ for both sides

∴ log(1.5)=log(\frac{301}{300})^{12t}

- Remember log(a)^{n}=nlog(a)

∴ log(1.5)=(12t)log(\frac{301}{300})

- Divide both sides by log(\frac{301}{300})

∴ 121.84 = 12 t

- Divide both sides by 12

∴ 10.155 = t

It takes 10.155 years until you have $3,000

Learn more:

You can learn more about the compound interest in brainly.com/question/4361464

#LearnwithBrainly

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I hope this helps!
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