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Popolare Word Problems >

Sophia invested 79,000 in an account paying an interest rate of 6.8% compounded continuously. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach 152,800?

Soluzione

S o p hia in v es t e d 79, 000 in an a cco u n t p a y in g an in t eres t r a t e o f 6.8% co m p o u n d e d co n t in u o u s l y . A ss u min g n o d e p os i t s or w i t h d r a w a l s a re ma d e, h o w l o n g w o u l d i t t ak e, t o t h e n e a res t ye a r, 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 152, 800 ?

Soluzione

Time : 9.7

Fasi della soluzione

Translate the problem into an equation:

152800 = 79000 e^{0.068 t}

Risolvi per

t, 152800 = 79000 e^{0.068 t} : t = 9.7

Time : 9.7

Esempi popolari

The circonferenza of a circle is 22pi m. What is the area, in square meters? Express your answer in terms of pipi.A rectangle has one side of 11 cm. How fast is the area of the rectangle changing at the instant when the other side is 12cm and increasing at 5cm per minute?Carter invested 3,900 in an account paying an interest rate of 3.9% compounded daily. Assuming no deposits or withdrawals are made, how much money, to the nearest hundred dollars, would be in the account after 5 years?one half of a number is 3 more then one sixth the same number Ian is going to invest in an account paying an interest rate of 5.6% compounded monthly. How much would Ian need to invest, to the nearest ten dollars, for the value of the account to reach 21,400 in 19 years?