if $945 is invested at an interest rate of 4% per year and is compounded continuously, how much will the investment be worth in 10 years?
use the continuous compound interest formula a = pert.
a. $947
b. $984
c. $1,028
d. $1,410

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.

The formula is used to find continuous compound interest is;

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;

Hence, the investment after 10 years is worth $1,410.

To know more about Compound interest click the link given below.

link

Option D  

Step-by-step explanation:

we know that

The formula to calculate continuously compounded interest is equal to

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest in decimal  

t is Number of Time Periods  

e is the mathematical constant number

we have  

substitute in the formula above  

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."