Account a and b each start with $400. If account a earn $45 each year and account b earns 5% of its value each year when will ac
count b have more money than account a
1 answer:
Answer:
year
Step-by-step explanation:
![A=P\left ( 1+R/100\right )^{T}](https://tex.z-dn.net/?f=A%3DP%5Cleft%20%28%201%2BR%2F100%5Cright%20%29%5E%7BT%7D)
![A=Amount ,P=Principle , R=Rate , T=Time](https://tex.z-dn.net/?f=A%3DAmount%20%2CP%3DPrinciple%20%2C%20R%3DRate%20%2C%20T%3DTime)
CI=compound interest
![CI=A-P](https://tex.z-dn.net/?f=CI%3DA-P)
for each a and b
account earn each year by a=![45\$](https://tex.z-dn.net/?f=45%5C%24)
account b earns
%
find the time the value of b is more
![45](https://tex.z-dn.net/?f=45%3C400%5Cleft%20%28%201%2B5%2F100%20%5Cright%20%29%5E%7BT%7D-400)
![445](https://tex.z-dn.net/?f=445%3C%5Cleft%20400%5Cleft%20%28%201%2B5%2F100%20%5Cright%20%29%5E%7BT%7D)
![445/400](https://tex.z-dn.net/?f=445%2F400%3C%5Cleft%20%28%2021%2F20%20%5Cright%20%29%5E%7BT%7D)
![\ln \left ( 445/400 \right )](https://tex.z-dn.net/?f=%5Cln%20%5Cleft%20%28%20445%2F400%20%5Cright%20%29%3CT%5Cln%20%5Cleft%20%28%2021%2F20%20%5Cright%20%29)
![.106609735](https://tex.z-dn.net/?f=.106609735%3C.0487901642%5Ctimes%20%20T)
![=2.1850](https://tex.z-dn.net/?f=%3D2.1850%3CT)
year
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