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Mathematics 19 Online
OpenStudy (anonymous):

principal of $2600 is invested at 3.25% interest, compounded annually. How much will the investment be worth after 11 years? Use the calculator provided and round your answer to the nearest dollar.

OpenStudy (welshfella):

amount after n years is P(1 + r/100)^ n where P is the starting amount , r is the rate per cent.

OpenStudy (welshfella):

so just plug your values into this formula and work it out.

OpenStudy (mathmale):

That "worth" is the sum of the original principal and the accumulated interest. P = principal = $ ? r = interest rate as a percentage = ? n = number of years (since interest is compounded annually) = ?

OpenStudy (anonymous):

3696.2727

OpenStudy (anonymous):

The principal is $2600 , and in the first year the investment's value increases by 3.25% . So, the investment's value after the first year is given by the following. +2600·26000.0325 =·2600+10.0325 =·26001.0325 Similarly, in the second year the investment's value increases by another 3.25% . ··26001.03251.0325 =·26001.03252 Here is the investment's value after the third year. =··26001.032521.0325·26001.03253 More After t years, the investment will be worth 1.0325t times the principal. So, the investment's value after t years is given by the following. ·26001.0325t In this problem, we need to find the investment's value after 11 years. =·26001.0325113696.27... Rounded to the nearest dollar, we get $3696 . Here is the answer. $3696

OpenStudy (anonymous):

A laptop computer is purchased for $1850 . After each year, the resale value decreases by 35% . What will the resale value be after 4 years? Use the calculator provided and round your answer to the nearest dollar.

OpenStudy (anonymous):

Do i put .35 for this

OpenStudy (mathmale):

Surely appreciate your investing time and thought into solving this problem. I do have suggestions regarding notation: ·26001.0325t is subject to misinterpretation for at least two reasons: First, the principal ($2600) needs to be separated from (1.0325). You could use the " * " symbol for multiplication, or y ou could enclose the 0.032) inside parentheses. Second (a more serious matter): It's important to learn how to express exponentiation properly. If taken at face value, your 1.0325t means "1.032 times t." What you mean was "1.032 raised to the power t. " the proper way in which to write that is 0.032^t, or\[0.032^t\]

OpenStudy (mathmale):

Finally, there's no reason to round off that 0.0325 to 0.032. Leave it as 0.0325. If you insist on rounding it off, however, you must round UP (not down) in this situation, because of that "5". 0.032499 would round down to 0.032. But 0.0325 would round UP to 0.033. Please type in your formula for the AMOUNT, making use of these suggestions. A = Amount = ???

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