Question

Find the time required for an investment of 5000 dollars to grow to 7900 dollars at an interest rate of 7.5 percent per year, compounded quarterly. Round your answer to two decimal places Your answer is t= years. You currently have $5,900 (Present Value) in an account that has an interest rate of 3.5% per year compounded daily (365 times per year). You want to withdraw all your money when it reaches $12,390 (Future Value). In how many years will you be able to withdraw all your money? The number of years is .

          Find the time required for an investment of 5000 dollars to grow to 7900 dollars at an interest rate of 7.5 percent per year, compounded quarterly.
Round your answer to two decimal places
Your answer is t=    years.
You currently have $5,900 (Present Value) in an account that has an interest rate of 3.5% per year compounded daily (365 times per year). You want to withdraw all your money when it reaches $12,390 (Future Value). In how many years will you be able to withdraw all your money?
The number of years is .
        
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Elementary Statistics a Step by Step Approach
Elementary Statistics a Step by Step Approach
Allan G. Bluman 9th Edition
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Find the time required for an investment of 5000 dollars to grow to 7900 dollars at an interest rate of 7.5 percent per year, compounded quarterly. Round your answer to two decimal places Your answer is t= years. You currently have $5,900 (Present Value) in an account that has an interest rate of 3.5% per year compounded daily (365 times per year). You want to withdraw all your money when it reaches $12,390 (Future Value). In how many years will you be able to withdraw all your money? The number of years is .
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Transcript

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00:01 Okay, here i use the growth formula, which in simplified form is this.
00:05 Pn equals p0, 1 plus r over 100, the power of n.
00:14 That you will find on all formula sheets.
00:17 Now pn is the end amount, which here is 7 ,800.
00:23 So 7 ,800 has to equal p0 starting amount, 5 ,000.
00:31 And then one plus of the rate is 7 .5 % per year, but i'm compounding every three months.
00:43 So four times a year, in other words quarterly.
00:46 So the rate you divide by four to get per quarter over 100.
00:53 Now, n is number of time periods, which here are number of quarters.
00:59 Prepare that in mind.
01:00 So n, i want to find, is number of quarters.
01:03 Quarter years...
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