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olga_2 [115]
4 years ago
9

I need help simplifying a math problem. It is (x^2 * x^-3)^4

Mathematics
1 answer:
Mashutka [201]4 years ago
4 0
(x^2 \times x^{-3})^4 \\ \\ (x^{2-3})^4 \ / \ product \ rule \\ \\ (x^{-1})^4 \ / \ simplify \\ \\ x^{-4} \ / \ simplify \\ \\ \frac{1}{x^4} \ / \ negative \ power \ rule \\ \\ Answer: \frac{1}{x^4}
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riadik2000 [5.3K]
A^5b^3 is your answer

 
5 0
3 years ago
Find the interest rate needed for the sinking fund to reach the required amount. Assume that the compounding period is the same
Maslowich

Answer:

so rate is 4.72 %

Step-by-step explanation:

Given data

time (t) = 5 year  = 5×4 = 20 quarterly

amount = $27456

principal = $1225

to find out

interest rate (r)

solution

we use here amount formula that is

amount = principal ((1+r)^{t} -1 ) / r      .....................1

put all value principal , amount and time in equation 1 and we get rate

rate is r/4 because it is quarterly payment

amount = principal ((1+r/4)^{t} -1 ) / r/4

27456 = 1225 ((1+r/4)^{20} -1 ) / r/4

((1+r/4)^{20} -1 ) / r/4  = 27456/ 1225

((1+r)^{20} -1 ) / r  = 27456/ (1225 × 4)

((1+r)^{20} -1 ) = r 27456/ (1225 × 4)

now by the tvm solver and amount  $27456

graph value

we get r = 0.0472

so rate is 4.72 %

5 0
3 years ago
Read 2 more answers
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storchak [24]
16. The answer is 1. It means the total amount of the part of the work force.
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5 0
3 years ago
Which rate is equivalent to the rate of 700 miles in 15 hours?
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6 0
3 years ago
two angles form a linear pair. the measure of one angle is three times the measure of the other. find the measure of each angle.
Sav [38]

Answer:

measure of a angle 1 = x

measure of angle 2= 3x

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4x=180

x= 180÷4

x= 45

angle one = x= 45

angle two = 3x = 3×45= 135

the 2 angles are

45 and 135

6 0
3 years ago
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