he power supply of a satellite is a radioisotope (radioactive substance). The power output P, in watts (W), decreases at a rate proportional to the amount present; P is given by the equalibh P= 59 e -0.0049t vhere t is the time, in days. a) How much power will be available after 322 days? W (Round to one decimal place as needed.) b) What is the half-life of the power supply? days (Round to the nearest integer as needed.) c) The satellite's equipment cannot operate on fewer than 7 watts of power. How long can the satellite stay in operation? days (Round to the nearest integer as needed.) d) How much power did the satellite have to begin with? the nearest integer as needed.)
he power supply of a satellite is a radioisotope (radioactive substance). The power output P, in watts (W), decreases at a rate proportional to the amount present; P is given by the equalibh P= 59 e -0.0049t vhere t is the time, in days. a) How much power will be available after 322 days? W (Round to one decimal place as needed.) b) What is the half-life of the power supply? days (Round to the nearest integer as needed.) c) The satellite's equipment cannot operate on fewer than 7 watts of power. How long can the satellite stay in operation? days (Round to the nearest integer as needed.) d) How much power did the satellite have to begin with? the nearest integer as needed.)
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 60SE: The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is...
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Transcribed Image Text:The power supply of a satellite is a radioisotope (radioactive substance). The power output P, in watts (W), decreases at a rate proportional to the amount present; P is given by the equation
P 59 e
-0.0049t
where t is the time, in days.
a) How much power will be available after 322 days?
W (Round to one decimal place as needed.)
b) What is the half-life of the power supply?
days (Round to the nearest integer as needed.)
c) The satellite's equipment cannot operate on fewer than 7 watts of power. How long can the satellite stay in operation?
days (Round to the nearest integer as needed.)
d) How much power did the satellite have to begin with?
W (Round to the nearest integer as needed.)
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