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Popolare Word Problems >

Lucy invested 30,000 in an account paying an interest rate of 6.6% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest hundred dollars, would be in the account after 9 years?

Soluzione

Lu cy in v es t e d 30, 000 in an a cco u n t p a y in g an in t eres t r a t e o f 6.6% 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 m u c h m o n ey, t o t h e n e a res t h u n d re d d o ll a rs, w o u l d b e in t h e a cco u n t a f t er 9 ye a rs ?

Soluzione

Amount : 54336.56

Fasi della soluzione

Translate the problem into an equation:

A = 30000 e^{0.066 \cdot 9}

30000 e^{0.066 \cdot 9} = 54336.56460 \dots

Arrotondare all' hundredth più vicino:

54336.56

Amount : 54336.56

Esempi popolari

Autumn invested 2,800 in an account paying an interest rate of 6.2% compounded monthly. Assuming no deposits or withdrawals are made, how much money, to the nearest ten dollars, would be in the account after 8 years?Find 3 consecutive integers such that 4 times the sum of the 1st and the 3rd is 14 greater than 7 times the second.Matthew invested 5,800 in an account paying an interest rate of 4.9% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be in the account after 7 years?Aubrey invested 61,000 in an account paying an interest rate of 1.9% 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 73,600?Robert invested 860 in an account paying an interest rate of 5.1% compounded daily. Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be in the account after 13 years?