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פּוֹפּוּלָרִי Word Problems >

A person invests 1000 dollars in a bank. The bank pays 6% interest compounded annually. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 2100 dollars?

פתרון

A p erso n in v es t s 1000 d o ll a rs in a bank . T h e bank p a ys 6% in t eres t co m p o u n d e d ann u a ll y . T o t h e n e a res t t e n t h o f a ye a r, h o w l o n g m u s t t h e p erso n l e a v e t h e m o n ey in t h e bank u n t i l i t re a c h es 2100 d o ll a rs ?

פתרון

Time : 12.73

צעדי פתרון

Translate the problem into an equation:

2100 = 1000 (1 + \frac{0.06}{1})^{1 \cdot t}

2100 = 1000 (1 + \frac{0.06}{1})^{1 \cdot t}, t

פתור בשביל:

t = 12.73

Time : 12.73

דוגמאות פופולריות

Addison invested 440 in an account paying an interest rate of 2% compounded continuously. Assuming no deposits or withdrawals are made, how long would it take, to the nearest tenth of a year, for the value of the account to reach 610?Bashir is going to invest in an account paying an interest rate of 5.7% compounded quarterly. How much would Bashir need to invest, to the nearest hundred dollars, for the value of the account to reach 29,000 in 19 years?The sum of a number and its square is 72. What is the number Jackson invested 52,000 in an account paying an interest rate of 2.1% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest dollar, would be in the account after 17 years?Madison invested 3,300 in an account paying an interest rate of 6.7% compounded daily. Assuming no deposits or withdrawals are made, how much money, to the nearest ten dollars, would be in the account after 5 years?