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aleksandr82 [10.1K]
3 years ago
12

Debbie invests $100 in an account that pays 3% annual interest, compounded monthly. Rachel invests $80 in an account that pays 2

.5% annual interest compounded weekly. Whose balance is greater after 1 year?
Mathematics
1 answer:
Viefleur [7K]3 years ago
6 0

Answer:

Greetings!

The formula for compound interest is A = P(1+r)^t, where A = total amount, P = principal (initial amount), r = interest rate (in decimal form), and t = time in years. The rate is 5%. 5% is 0.05 in decimal form. 1 + 0.05 is 1.05. 1 is added, because the 1 represents the whole amount and the amount of money in the account grows. t = 10. Using a calculator, raise 1.05^10. You should get the long decimal 1.62889462678. Do not delete it from the calculator. Multiply it by 1,000 to find the new amount. You get 1,628.89462678 or 1,628.89 when rounded to the nearest hundredth. There. Rachel will have $1,628.89 in her bank account after 10 years.

Step-by-step explanation:

can i get brianist

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Answer: (3a + 1) (a + 3)

Step-by-step explanation:

<u>Concept:</u>

Here, we need to know the idea of factorization.

It is like "splitting" an expression into a multiplication of simpler expressions. Factoring is also the opposite of Expanding.

<u>Solve:</u>

Given = 3a² + 10a + 3

<em>STEP ONE: separate 3a² into two terms</em>

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<em>STEP TWO: separate 3 into two terms</em>

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<em>STEP THREE: match the four terms in ways that when doing cross-multiplication, the result will give us 10a.</em>

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When cross multiply, 3a × 3 + 1 × a = 10a

<em>STEP FOUR: combine the expression horizontally to get the final factorized expression.</em>

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(3a + 1) (a + 3)

Hope this helps!! :)

Please let me know if you have any questions

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Step-by-step explanation:

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