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פּוֹפּוּלָרִי Word Problems >

Ximena is going to invest in an account paying an interest rate of 2.2% compounded continuously. How much would Ximena need to invest, to the nearest ten dollars, for the value of the account to reach 5,100 in 6 years?

פתרון

X im e na i s g o in g t o in v es t in an a cco u n t p a y in g an in t eres t r a t e o f 2.2% co m p o u n d e d co n t in u o u s l y . Ho w m u c h w o u l d X im e na n ee d t o in v es t, t o t h e n e a res t t e n d o ll a rs, f or t h e v a l u e o f t h e a cco u n t t o re a c h 5, 100 in 6 ye a rs ?

פתרון

Principal : 4469.34

צעדי פתרון

Translate the problem into an equation:

5100 = P e^{0.022 \cdot 6}

5100 = P e^{0.022 \cdot 6}, P

פתור בשביל:

P = 4469.34

Principal : 4469.34

דוגמאות פופולריות

The quotient of a number and 4 is-7 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?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