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인기 있는 Word Problems >

Imagine you have P1000 to invest in a savings account with an annual interest rate of 5%, compounded continuously. After 5 years, how much money will you have?

해법

I ma g in e yo u ha v e P 1000 t o in v es t in a s a v in g s a cco u n t w i t h an ann u a l in t eres t r a t e o f 5%, co m p o u n d e d co n t in u o u s l y . A f t er 5 ye a rs, h o w m u c h m o n ey w i ll yo u ha v e ?

해법

Amount : 1284.03

솔루션 단계

Translate the problem into an equation:

A = 1000 e^{0.05 \cdot 5}

1000 e^{0.05 \cdot 5} = 1284.02541 \dots

가장 가까운 hundredth 으로 반올림:

1284.03

Amount : 1284.03

인기 있는 예

the 차이 between 6 and 2 times a number is 16 there are three apples i ate one how many are there left If the sum of a number and nine is tripled, the result is five less than twice the number. Find the number.the sum of six times a number and five times another number is 648. However the 차이 between two times the first number and five times the second number is 600. Determine the numbers.Find the amount in the account for the given principal, interest rate, time, and compounding period.Pequals1 comma 900, requals3.5%, tequals4 years; compounded daily