In the formulaA(t) =Pe^rt

for continuously compound interest, the lettersP,r, andtstand for

---Select--- P

prime rate

amount after t years

number of years

principal

percent interest

,

---Select--- R

interest rate per day

rate of return

investment per year

interest rate per year

investment amount

, and

---Select--- T

number of days

number of times interest is compounded per year

number of years

number of time periods

number of months

, respectively, andA(t) stands for

---Select---

amount of interest earned in year t

amount of principal

amount after t days

amount after t years

amount of interest earned after t years

So if$300is invested at an interest rate of5%compounded continuously, then the amount after3years is$_________.(Round your answer to the nearest cent.)

This exercise uses the radioactive decay model.

The half-life of strontium-90 is 28 years. How long will it take a70-mg sample to decay to a mass of42mg? (Round your answer to the nearest whole number.) ______ yr

The temperatureTof an object in degrees Fahrenheit aftertminutes is represented by the equationT(t) =68e^0.0174t+73.

To the nearest degree, what is the temperature of the object after one and a half hours? _______F

Solve the system of three linear equations by the method of elimination (also called Gaussian elimination). (If there is no solution, enter NO SOLUTION. If there are infinitely many solutions, enter INFINITELY MANY.)

2xy+z=16

5x+yz=5

3x+2y2z=25

(x,y,z) =( ____________)

Carbon-14 has a half-life of 5,730 years. A fossil is found that has12%of the carbon-14 found in a living sample. How old is the fossil? (Round your answer to the nearest year.)