The radioactive substance uranium-240 has a half-life of 14 hours. the amount at of a sample of uranium-240 remaining (in grams) after t hours is given by the following exponential function.
[tex]a(t) = 2800.(\frac{1}{2})^{\frac{t}{14}}[/ tex]
find the amount of the sample remaining after 9 hours and after 40 hours.
round your answers to the nearest gram as necessary.
amount after 9hours: grams
amount after 40 hours: grams

Amount after 9 hours: 1793 grams

Amount after 40 hours: 386 grams

Step-by-step explanation:

Given exponential function, that shows the amount of radioactive substance uranium-240 after t hours,

        ......(1)

Substitute t=9 in equation (1),

The amount of substance after 9 hours is,

≈ 1793 grams ( Using calculator )

Again, substitute t=40 in equation (1),

The amount of substance after 40 hours is,

≈ 386 grams.

the answer is 844

step-by-step explanation:

it is 844 because if you add 836.50 + 7.5 you will get 844

this is the formula: v = the value of investment at the end of the time period

p = the principal amount (the initial amount invested)

r = the annual interest rate

n = the annual frequency of compounding (how many times a year interest is added)

t = the number of years the money is invested

^ means raise to the power of