You invest $3,150.00 in a stock plan. The first year, it loses 5% of its value. The second year, it gains 9% of its value. What is the difference between the value of your stocks at the end of the second year and your initial investment?

Respuesta :

Given:

The investment is $3,150.00.

The loss percent for the first year is 5 %.

The gain percent for the second year is 9 %.

Required:

We need to find the investment amount at end of the second year.

Explanation:

The investment amount at the end of the first year is

[tex]=3150(1-\frac{5}{100})[/tex][tex]=3150(1-0.05)[/tex][tex]=2992.5[/tex]

The investment amount at the end of the first year is $2992.5.

The investment amount at the end of the second year is

[tex]=2992.5(1+\frac{9}{100})[/tex][tex]=2992.5(1+0.09)[/tex][tex]=3261.825[/tex][tex]=3261.83[/tex]

The investment amount at the end of the second year is $3261.83.

Final answer:

The investment amount at the end of the second year is $3261.83.