How much would $100 invested at 8% interest compounded continuously be worth after 15 years? Round your answer to the nearest cent.
A(t)-P•e^rt
A. $317.22
B. $220.00
C. $332.01
D. $285.67

Continuously C. $332.01

Annually A. $317.22

Step-by-step explanation:

A = P + I where

P (principal) = $100.00

I (interest) = $232.01

First, convert R as a percent to r as a decimal

r =

r =

r = 0.08 rate per year,

Then solve the equation for A

A =

A =

A = $332.01

Therefore:  The total amount accrued on a principal of $100.00 at a rate of 8% per year compounded continuously over 15 years is $332.01.

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.

a; x = 0.5

step-by-step explanation:

-10x = -5

x = 0.5