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pochemuha
4 years ago
10

Helppp pleasee ibreally need it

Mathematics
2 answers:
igor_vitrenko [27]4 years ago
8 0
-6a-5=-95  Given
-6(15)-5=-95   Substitution
a=15   idk the reason im not real good at this but i tried!
Hope you have a nice day

iris [78.8K]4 years ago
7 0
All this proof is essentially asking is to formally present and justify the work you'd normally to do solve for a. I'll go through the steps informally first, and then I'll justify them in the following part.

-6a-5=-95\\ -6a=-90\\ a=15

Our reason for the first line here would be given; they provide the statement for us at the beginning.

To obtain the second line, we add 5 to both sides of the equation to cancel out the -5 term on the left side; here, we're using the addition property of equality, which states that you adding the same number to both sides of an equation doesn't change its equality.

Finally, we <span>divide both sides by -6 </span>to find that a= \frac{-90}{-6} =15. The property we use here is predictably called the division property of equality, and it states that dividing both sides of the equation by the same number doesn't change the equality. At this point, we've reached our conclusion and justified our steps, so we're done. Here's the completed proof:

Statement: -6a-5=-95 Reason: Given
Statement: -6a=-90 Reason: Addition property of equality
Statement: a=15 Reason: Division property of equality
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1/2 is 8/16 in lowest term
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Student Friendly Bank pays a simple interest rate of 2.5% per year. Neighborhood Bank pays a compound interest rate of 2.1% per
gogolik [260]

The question is incomplete:

Student Friendly Bank pays a simple interest rate of 2.5% per year. Neighborhood Bank pays a compound interest rate of 2.1% per year, compounded monthly.

Which bank will provide the largest balance if you plan to invest $10,000 for 10 years? For 20 years?

Answer:

-The bank that provides the largest balance if you plan to invest $10,000 for 10 years is Student Friendly Bank.

-The bank that provides the largest balance if you plan to invest $10,000 for 20 years is Neighborhood Bank.

Step-by-step explanation:

First, you have to calculate the balance if you invest the money in Student Friendly Bank. To do it, you have to use the simple interest formula to calculate the future value:

FV=PV(1+rt)

FV= future value

PV= present value

r= rate

t=time

-10 years:

FV= 10,000(1+(0.025*10))

FV= 10,000(1+0.25)

FV=10,000(1.25)

FV=12,500

-20 years:

FV= 10,000(1+(0.025*20))

FV= 10,000(1+0.5)

FV=10,000(1.5)

FV=15,000

Second, you have to calculate the balance if you invest the money in Student Neighborhood Bank. To do it, you have to use the compound interest formula to calculate the future value:

FV=PV(1+(r/m))^mt

FV= future value

PV= present value

r= rate

t=time

m=number compounding periods per year

-10 years:

FV=10,000*(1+(0.021/12))^12*10

FV=10,000*(1+0.00175)^120

FV=10,000*(1.00175)^120

FV=12,334.5

-20 years:

FV=10,000*(1+(0.021/12))^12*20

FV=10,000*(1+0.00175)^240

FV=10,000*(1.00175)^240

FV=15,214

According to this, the bank that provides the largest balance if you plan to invest $10,000 for 10 years is Student Friendly Bank because it will provide $12,500 and Neighborhood Bank will provide $12,334.5.

The bank that provides the largest balance if you plan to invest $10,000 for 20 years is Neighborhood Bank because it will provide $15,214 and Student Friendly Bank will provide $15,000.

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Answer: 224 feet

Step-by-step explanation:

Each curtain is 48 inches long, and she wants to make 56 curtains.

However, the fabric store sells by the foot.

There are two ways to do this:

1) You can convert beforehand.

48 inches= 4 feet because 1 inch=1/2 foot.

Multiply 48 by 1/12 to find how many feet are in 48 inches.

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So 48 inches= 4 feet

Now, each curtain is 4 feet. There are 56 curtains to be made.

Now multiply by 4 to find how many feet are in 56 curtains.

56x4=224 feet.

Answer= 224 ft

Or: You can convert afterwards

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Then, convert to feet!

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2688 multiplied by 1/12:

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Answer= 224 feet

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