he

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

פּוֹפּוּלָרִי Word Problems >

Peyton is going to invest in an account paying an interest rate of 4.2% compounded continuously. How much would Peyton need to invest, to the nearest cent, for the value of the account to reach 39,000 in 17 years?

פתרון

P ey t o n 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 4.2% 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 P ey t o n n ee d t o in v es t, t o t h e n e a res t ce n t, 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 39, 000 in 17 ye a rs ?

פתרון

Principal : 19097.58

צעדי פתרון

Translate the problem into an equation:

39000 = P e^{0.042 \cdot 17}

39000 = P e^{0.042 \cdot 17}, P

פתור בשביל:

P = 19097.58

Principal : 19097.58

דוגמאות פופולריות

The radius of a circle is 11 m. Find its area in terms of pipi.3 coins is tossed 7 times. What is the probability 3 heads?Aubree invested 8,300 in an account paying an interest rate of 2.2% compounded quarterly. Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be in the account after 13 years?Melanie invested 5,500 in an account paying an interest rate of 6.9% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest dollar, would be in the account after 11 years?Kennedy invested 5,000 in an account paying an interest rate of 6.4% compounded daily. Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be in the account after 15 years?