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4 years ago

Y^6.y^-9 Write answer with positive exponent only. is the answer y^54?

Mathematics

2 answers:

quester [9]4 years ago

7 0

The answer is y^54 yes

Ira Lisetskai [31]4 years ago

6 0

When ur multiplying exponents with the same base, u keep the base and add the exponents

y^6 * y^-9 = y^(6 + (-9) = y^(6 - 9) = y^-3...but we want a positive exponent....so we use the exponent rule : a^-b = 1 / (a^b)

so y^-3 = 1 / y^3

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You purchase a car worth $25077 and make a down payment of $3560. You intend to repay the balance of the car with month end car

zubka84 [21]

Answer:

value of buyout is $4185.74

Step-by-step explanation:

given data

car worth = $25077

down payment = $3560

monthly payment = $336 = 336 × 6 = $2016 per semi annually

time = 5 year = 10 half yearly

rate = 4.04 %

to find out

value of final buyout

solution

we know here loan amount will be 25077 - 3560 = $21517

and we find present value first by formula that is

present value = $\frac{amount(1+r)^t - 1}{r (1+r)^t}$

put here t = 10 and r = $\frac{4.04}{200}$

present value = $\frac{2016(1+\frac{4.04}{200})^10 - 1}{r (1+\frac{4.04}{200})^10}$

present value = 18089.96

loan unpaid amount is here

loan unpaid amount = 21517 - 18089.96

loan unpaid amount = $3427.04

now we calculate value of buyout

that is express as

amount = principal × $(1+r)^{t}$

amount = 3427.04 × $(1+\frac{4.04}{200})^{10}$

amount = 4185.74

so value of buyout is $4185.74

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4 years ago

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Jonah has a large collection of marbles he notices that if he borrows five marbles from a from a friend he can arrange the marbl

olga nikolaevna [1]

Answer:

The remainder is 8

Step-by-step explanation:

Let Jonah's Marble=x

If he arranges x marbles into y rows of 13 each, and there are remainders(R)

Then:

x/13=y+(R/13).....(I)

If he borrows 5 marbles from a friend, there will be no remainder. However, the number of rows y, will be increased by 1

New Total Marbles=x+5

(x+5)/13=y+1.....(ii)

x+5=13(y+1)

x=13y+13-5

x=13y+8

From (I)

x=13y+R

Comparing the values of x derived from (I) and (ii)

13y+R=13y+8

Therefore the Remainder, R= 8

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4 years ago

The object will hit the ground after 5 seconds. You can rewrite the quadratic function as a quadratic equation set equal to zero

mario62 [17]

Answer:

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Step-by-step explanation:

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