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人気のある Word Problems >

Josiah invested 96,000 in an account paying an interest rate of 3.5% 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 153,400?

解

J os iah in v es t e d 96, 000 in an a cco u n t p a y in g an in t eres t r a t e o f 3.5% 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 153, 400 ?

解

Time : 13.39

解答ステップ

Translate the problem into an equation:

153400 = 96000 e^{0.035 t}

t

を解く

153400 = 96000 e^{0.035 t} : t = 13.39

Time : 13.39

人気の例

Five times a number is the same as the 差 of four times the number and eight. Find the number two numbers have a sum of 6, what are the two numbers if one number is 2 less than the other number a number is at least 22 Presley wants to buy a new scooter, which is priced at 28,500. She goes to her neighborhood bank to apply for a simple interest loan. The bank offers her the loan with all of the money at a 6.2% interest rate p.a. over a 5 year period. What is the total price she pays for the scooter?Amira is going to invest in an account paying an interest rate of 2.1% compounded quarterly. How much would Amira need to invest, to the nearest ten dollars, for the value of the account to reach 880 in 9 years?