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Marina86 [1]
3 years ago
15

4. Stacey currently has an account balance of $1,007.78. Her Initial deposit on the account was $616 and it earned 5.3% simple i

nterest. How long has Stacey held the account? (2 points)
7 years
31 years
12 years
19 years
Mathematics
1 answer:
Serjik [45]3 years ago
7 0

Answer:

12 Years

Step-by-step explanation:

Simple interest is calculated as I = Prt, where P is the principal (amount of money invested), r = rate of interest written as decimal, and t = time

The amount started as P and incresed by Prt, so

P + Prt = 1007.78

616 + (616)(0.053)t = 1007.78

Now you need to solve for t:

Subtract 616 from both sides and simplify:

32.648t = 391.78

Divide both sides by 32.648:

t = 12

Answer: 12 years

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Step-by-step explanation:

The angle bisector divides the triangle sides proportionally.

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The price of grapes at a farm is $1.85 per pound. Which equation can be used to determine c, the total price of n pounds of grap
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Which is greater or equal to 8/10 or 63/100
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Sqaure root of 5 (u-1)(u^5+u^4+u^3+u^2+u+1)
Anna71 [15]
GIVEN:

5(u - 1)( {u}^{5} + {u}^{4} + {u}^{3} + {u}^{2} + u + 1)

remember:

\sqrt{u} = {u}^{ \frac{1}{2} }

And

{u}^{n} \times {u}^{m} = {u}^{n + m}

SOLVE:

start by multiplying the factors:

5( ({u}^{6} + {u}^{5} + {u}^{4} + {u}^{3} + {u}^{2} + u ) - ( {u}^{5} + {u}^{4} + {u}^{3} + {u}^{2} + u + 1))

simplify by combing like terms. Most terms subtract off, leaving:

5( {u}^{6} - 1)

This can be factored, but it is not a perfect square, which is really what we need to take the square root.

5( {u}^{3} - 1)( {u}^{3} + 1)

I'm not exactly sure what form they want the answer in...

so taking the square root:

\sqrt{5( {u}^{6} - 1) } = {(5( {u}^{6} - 1))}^{ \frac{1}{2} }

so my best answer is:

{5}^{ \frac{1}{2} } \times {( {u}^{6} - 1)}^{ \frac{1}{2} }
or the more factored form:

{5}^{ \frac{1}{2} } { ({u}^{3} - 1)}^{ \frac{1}{2} } { ({u}^{3} + 1 )}^{ \frac{1}{2} }

I'm not sure how else to solve it. Taking the square root doesn't work out super well, so I left it in the most simple form I could.

sorry for not coming to a definitive answer!
7 0
3 years ago
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