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3 years ago

12

Austin borrowed $3000 from the bank at a rate of 2.25% simple interest per year. How much total did he have to pay back after 5

years?

1 answer:

Fynjy0 [20]3 years ago

3 0

Answer:

Austin will have to pay $33,750 for the simple interest.

Step-by-step explanation:

2.25% into decimal = 0.0225

0.0225 x 3000 = 6750

6750 x 5 = 33750

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Determine the value of variables a, b, and c that make each equation true.

dybincka [34]

Corrected Question

Determine the values of a, b and c that make each equation true.

$(x^a)^6=\dfrac{1}{x^{30}} \\\\(x^{-7})^{-4}=x^b\\\\(x^{-2})^c=x^{22}$

Answer:

a=-5, b=28 and c=-11

Step-by-step explanation:

To solve for a,b and c, we apply the following laws of indices

$\dfrac{1}{x^y}=x^{-y} \\\\(x^m)^n=x^{m X n}\\\\$If x^m=x^n,$ then m=n$

Therefore

$(x^a)^6=\dfrac{1}{x^{30}}\\x^{a*6}=x^{-30}\\6a=-30\\a=-5$

To solve for b

$(x^{-7})^{-4}=x^b\\x^{-7*-4}=x^b\\x^{28}=x^b\\b=28$

To solve for c

$(x^{-2})^c=x^{22}\\x^{-2*c}=x^{22}\\-2c=22\\c=-11$

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ASHA 777 [7]

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The manager of a store wants to have a sales promotion where she gives prizes to the first several people through the door. She

Oksana_A [137]

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Answer:

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3 years ago

marco needs to buy some cat food. At the nearest store, 3 bags of cat food cost 13.50. How much would Marco spend on 5 bags of c

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Answer:

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Step-by-step explanation:

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3 years ago

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