I put $500 in the bank. I now have $5000in the bank. Every year my money increased by 5%. How long that it takes?

It takes 47.19 years

Step-by-step explanation:

Your amount on the bank is given by the following equation:

In which P(t) is your current amount, P(0) is the initial amount, r is the rate it changes, and t is the time since the money has been put on the bank.

I put $500 in the bank.

This means that

I now have $5000 in the bank.

This means that

Every year my money increased by 5%

This means that

How long that it takes?

This is t.

We use the following logarithms property:

So

It takes 47.19 years

step-by-step explanation: you take each of the numbers and divide by the amount then you take the range

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116