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Arisa [49]
2 years ago
15

Zoe invest $600 in college savings account. The account earns 5.7% interest compounded quarterly. How many years will it take fo

r Zoe's account to reach $7,000?
Mathematics
1 answer:
GenaCL600 [577]2 years ago
8 0

Answer:

43.407 years

Step-by-step explanation:

Zoe invest $600 in college savings account. The account earns 5.7% interest compounded quarterly. How many years will it take for Zoe's account to reach $7,000?

We are asked to find time t in a compound interest formula

The formula is given as:

t = log(A/P) / n[log(1 + r/n)]

A = Total amount = $7000

P = Principal = $600

n = number of times interest is compounded = Quarterly =4

r = Interest rate = 5.7% = 0.057

Hence,

t = log(7000/600) /4[log (1 + 0.057/4)]

t = 43.407 years

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Answer:

A

Step-by-step explanation:

We can write this as Sinx by "flipping" the -\sqrt{2}.

So we will have:  Sin(x)=-\frac{1}{\sqrt{2} }

From basic trigonometry, we know the value of  \frac{1}{\sqrt{2}}  of sine is of the angle \frac{\pi}{4}

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<em />

<em>To get the angle in 3rd quadrant, we add π to the acute angle of the first quadrant (which is π/4 in our case).</em><u><em> Thus we have:</em></u>

\frac{\pi}{4}+\pi\\=\frac{\pi +4\pi}{4}\\=\frac{5\pi}{4}

A is the right answer.

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2 years ago
Plzz help me I am helpless
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Answer: 0.25

<u>Step-by-step explanation:</u>

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6 0
3 years ago
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What is the value of the sum 1/3 + 2/3+ 2/3+ 4/3 + 5/3+6/3+7/3+8/3
ollegr [7]
<h3>What is the value of the sum 1/3 + 2/3+ 2/3+ 4/3 + 5/3+6/3+7/3+8/3</h3>

<h2>ANSWER</h2>

\frac{35}{3}

Decimal Form:

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Mixed nunber Form:

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3 years ago
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<u>Answer:</u>

5.65 cm

<u>Step-by-step explanation:</u>

We are given that the length of each leg of an isosceles right triangle is 4 cm and we are to find the length of the hypotenuse.

For this, we will use the Pythagoras Theorem:

a ^ 2 = b ^ 2 + c ^ 2

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Therefore, the length of the hypotenuse is 5.65 cm.

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