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kipiarov [429]
2 years ago
7

Calculate the amount of $4480 at 8% interest per annum for 3 years

Mathematics
1 answer:
andre [41]2 years ago
5 0

Answer:

$5555.20

Step-by-step explanation:

F = P + I

I = Prt

I = $4480 × 0.08 × 3 = $1075.20

F = $4480 + $1075.20

F = $5555.20

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What number should {(-5/3)^3}^-3 be Multiply to obtain (-3/5)^4.​
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<u>Given</u><u> info</u><u>:</u><u>-</u><u> </u>What number should [(-5/3)³]^-3 be multiply obtain (-3/5)⁴ ?

<u>Explanation</u><u>:</u><u>-</u>

Given number = [(-5/3)³]^-3

Let the required number be X

On multiplying [(-5/3)³]^-3 with X

⇛ [(-5/3)³]^-3 × X

According to the given problem

The result = (-3/5)⁴

⇛ [(-5/3)³]^-3 × X = (-3/5)⁴

⇛ (-5/3)^(3×-3) × X = (-3/5)⁴

Since (a^m)^n = a^mn

⇛ (-5/3)^-9 ×X = (-3/5)⁴

⇛(-3/5)⁹ ×X = (-3/5)⁴

Since a^-n = 1/a^n

⇛X = (-3/5)⁴/(-3/5)⁹

⇛X = (-3/5)^(4-9)

Since a^m / a^n = a^(m-n)

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⇛ X = (-5/3)⁵

Since a^-n = 1/a^n

Therefore, X = (-5/3)⁵

<u>The required number for the given problem is (-5/3)</u><u>⁵</u><u>.</u>

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