Please help <br><br> Find the perimeter of AABC. Round to the nearest tenth

If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that compound interest, then the interest amount earned is given by:

$CI = P(1 +\dfrac{R}{100})^T - P$

The final amount becomes:

$A = CI + P\\A = P(1 +\dfrac{R}{100})^T$

<h3>How to calculate simple interest amount?</h3>

If the initial amount (also called as principal amount) is P, and the interest rate is R% annually, and it is left for T years for that simple interest, then the interest amount earned is given by:

$I = \dfrac{P \times R \times T}{100}$

For the considered case, we're given that:

Initial amount in both accounts deposited = $24,000 = P
Type of interest: Compound interest in first account and simple interest in second account
Unit of time: Annually
Rate of interest = 2.4% annually = R
Total unit of time for which amount is to be calculated: 5 years = T

In first account, the final amount at the end of 5 years is evaluated as:

$A = 24000(1 + \dfrac{2.4}{100})^4 = 24000(1.024)^4 \approx 27021.59\: \rm (in \: dollars)$

In second account, the final amount at the end of 5 years is evaluated as:

$A = 24000 + \dfrac{24000 \times 2.4 \times 5}{100} = 24000 + 2880 = 26880 \text{\: (in dollars)}$

Total amount after 5 years in these accounts = $27021.59 + 26880 = 53901.59$ (in dollars)

Thus, the sum of the balances of these accounts at the end of 5 years is given by: Option B: $53,901.59 (approx)

Learn more about compound interest here:

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4 0

2 years ago

William is 3 years, older than Charmine. The sum of 3 times Charmaine's age and 2 times William's age is 76. How old are William

lana66690 [7]

William is 17 years old and Charmaine is 14 years old.

Step-by-step explanation:

Let x be the age of William and y be the age of Charmaine

Then

William is 3 years, older than Charmine.

x = y+3 Eqn 1

The sum of 3 times Charmaine's age and 2 times William's age is 76.

2x+3y = 76 Eqn 2

Putting x = y+3 in Eqn 2

$2(y+3)+3y=76\\2y+6+3y=76\\5y+6=76\\Subtracting\ 6\ from\ both\ sides\\5y+6-6=76-6\\5y=70\\Dividing\ both\ sides\ by\ 5\\\frac{5y}{5} = \frac{70}{5}\\y=14\\Putting\ the\ value\ of\ y\ in\ Eqn\ 1\\x=y+3\\x=14+3\\x=17$

Hence,

William is 17 years old and Charmaine is 14 years old.

Keywords: Linear equations, Variables

Learn more about linear equations at:

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5 0

3 years ago

Please help Find the perimeter of AABC. Round to the nearest tenth