Suppose you invest $500 at 10% interest, compounded annually. After 5 years, how much money would you have in your account? Remember, the formula is A = P(1 + r)t.

$805.25

Step-by-step explanation:

Suppose you invest $500 at 10% interest, compounded annually. After 5 years, how much money would you have in your account? Remember, the formula is A = P(1 + r)t.

Given data

Principal= $500

Rate= 10%

Time= 5years

The compound interest expression is

A=P(1+r)^t

substitute

A=500(1+0.1)^5

A=500(1.1)^5

A=500*1.61051

A=$805.25

Hence the account is $805.25

answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation: