The correct option is D which is ''the investment after 10 years is worth $1,410''.
Given
If $945 is invested at an interest rate of 4% per year and is compounded continuously.
What is formula is used to find continuous compound interest?
The formula is used to find continuous compound interest is;
[tex]\rm A = P(e)^{rt}[/tex]
Where p is the principal amount of money invested.
r is the rate of interest, t is the time of investment, A is the final amount invested value, and e is the exponential term.
Substitute all the values in the formula;
[tex]\rm A = P(e)^{rt}\\\\A = 945 \times (e)^{0.04 \times 10}\\\\A = 945 \times e^{0.4}\\\\A = 945 \times 1.49\\\\A= 1410[/tex]
Hence, the investment after 10 years is worth $1,410.
To know more about Compound interest click the link given below.
https://brainly.com/question/25857212
