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3 years ago

12

Frank and Maxine are comparing the number of boys and girls in the class. Frank says there are 12 out of a total of 24 students.

Are the two responses the same? Explain how you know.

1 answer:

Marrrta [24]3 years ago

7 0

Yes because if yuo add 12 more your adding 12 more of students to make 24

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3 years ago

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Answer:

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Find the <u>principal</u> amount invested.

<u>Simple Interest Formula</u>

I = Prt

where:

I = interest earned
P = principal
r = interest rate (in decimal form)
t = time (in years)

Given:

I = Rs 320
r = 5% = 0.05
t = 2 years

Substitute the given values into the formula and solve for P:

⇒ 320 = P(0.05)(2)

⇒ 320 = P(0.1)

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<u>Compound Interest Formula</u>

$\large \text{$ \sf I=P\left(1+\frac{r}{n}\right)^{nt} -P$}$

where:

I = interest earned
P = principal amount
r = interest rate (in decimal form)
n = number of times interest applied per time period
t = number of time periods elapsed

Given:

P = 3200
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n = 1 (annually)
t = 2 years

Substitute the given values into the formula and solve for I:

$\implies \sf I=3200\left(1+\frac{0.05}{1}\right)^{2} -3200$

$\implies \sf I=3200\left(1.05\right)^{2} -3200$

$\implies \sf I=3200\left(1.1025\right) -3200$

$\implies \sf I=3528-3200$

$\implies \sf I=328$

Therefore, the compound interest on the same sum for the same time at the same rate is Rs 328.

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2 years ago

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