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san4es73 [151]
3 years ago
7

Please help

Mathematics
1 answer:
EleoNora [17]3 years ago
7 0

Answer:

Step-by-step explanation:

(5⅔)/4 = (17/3)/4 = 17/12

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Tell the error and leave if you disagree or agree.​
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PLEASE Help! ASAP PLZ
ira [324]

Answer:

0.57 yr  

Step-by-step explanation:

To find the doubling time with continuous compounding, we should look at the formula:

FV = PVe^{rt}

FV = future value, and

PV = present value

If FV is twice the PV, we can calculate the doubling time, t

\begin{array}{rcl}2 & = & e^{rt}\\\ln 2 & = & rt\\t & = & \dfrac{\ln 2}{r} \\\end{array}

1. David's doubling time

\begin{array}{rcl}t & = & \dfrac{\ln 2}{0.06125}\\\\& = & \textbf{11.317 yr}\\\end{array}

2. Violet's doubling time

The formula for interest compounded periodically is

FV = PV\left (1 + \dfrac{r}{n} \right )^{nt}

where

n = the number of payments per year

\begin{array}{rcl}9600 & = & 4800\left (1 + \dfrac{0.065}{4} \right )^{4t}\\\\2 &= & (1 + 0.01625 )^{4t}\\& = & 1.01625^{4t}\\\ln 2& = & 4 (\ln 1.01625)\times t \\& = & 0.064478t\\t& = & \dfrac{\ln 2}{0.064478}\\\\& = & \textbf{10.750 yr}\\\end{array}

3. David's doubling time vs Violet's

11.317 - 10.750 = 0.57 yr

It would take 0.57 yr longer for David's money to double than Violet's.

8 0
3 years ago
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