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Degger [83]
3 years ago
6

Avery invested $200 in an account paying an interest rate of 6 7/8%

Mathematics
2 answers:
Maslowich3 years ago
5 0

Answer:

0.73 yrs

Step-by-step explanation:

if t is time in years

quarterly

600 = 200(1 + 0.06625/4)^4t

3 = (1 + 0.06625/4)^4t

ln3 = 4tln(1. + 06625/4)

t = ln3 / (4ln1.0165625)

t = 16.7198 yrs

continuously

600 = 200e^(0.06875t)

3 = e^(0.06875t)

ln3 = 0.06875t

t = ln3 / 0.06875

t = 15.9798 years

Δt = 16.7198 - 15.9798 = 0.73 yrs

ElenaW [278]3 years ago
4 0

Answer:

15

Step-by-step explanation:

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ANSWER

x = 1.2226

EXPLANATION

To solve this equation we have to apply the property of the logarithm of the base,

\log _bb=1

Thus, we can apply the natural logarithm - whose base is e, to both sides of the equation,

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Now we apply the property of the logarithm of a power,

\log a^b=b\log a

In our equation,

\begin{gathered} 4x\ln e^{}=\ln 133 \\ 4x^{}=\ln 133 \end{gathered}

Then divide both sides by 4 and solve,

\begin{gathered} \frac{4x^{}}{4}=\frac{\ln 133}{4} \\ x\approx1.2226 \end{gathered}

The solution to this equation is x = 1.2226, rounded to four decimal places.

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Step-by-step explanation:

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