Exponent Rules
4^(-3)
1/64
(6*10^5)(2*10^2)
1.2*10^8
3.1 * 10^3 + 4.3 * 10^3
7.4*10^3
f(x)=4^x when x=2
f(2)=16
Find the balance in the account after the given period.
$8000 principal earning 7% compounded annually, 5 years
The balance after 5 years will be $11220.41.
(-3)^(-2)
-(1/9)
6.25*10^-14
3 * 10^1 + 6.4 * 10^2
6.7*10^2
y=20*0.5^x when x=3
Suppose your friend's parents invest $ 25,000 in an account paying 7% compounded annually. What will the balance be after 9 years?
The account balance will be $45961.48
4x^(-1)
4/x
(2.4*10^-8)/(8*10^-4)
3*10^-5
5 * 10^-3 + 3.3 * 10^-6
5.0033 * 10-3
Which function has the greater value for the given value of x?
f(x)= 7 * 3^x or f(x)=100*x^3 when x=7
The Function f(x)=100*x^3 when x =7
Suppose that when your friend was born, your friend's parents deposited $9000 in an account paying 4.7% interest compounded quarterly.
What will the account balance be after 16 years?
The balance after 16 years will be $19007.64.
(a^x)*(a^-4)=a^-8
x=?
x=-4
In 2005, the total waste generated in a certain country was 8.011 times 10^12 pounds. Also in 2005, the country's population was 1.52 times 10^8 people. Determine the garbage per capita (per person) in that country in the year 2005.
The country produced 5.27 times 10^4 pounds of garbage per person in 2005.
5.1 * 10^-1 + 0.38 * 10^4
3.80051* 10^3
The kilopascal is a unit of measure for atmospheric pressure. Suppose the atmospheric air pressure at sea level is about 105 kilopascals. For every 1000-m increase in altitude, the pressure decreases about 11.9%. What is the approximate pressure at an altitude of 3000 m? Round to the nearest whole number.
The pressure at an altitude of 3000 m is about 72 kilopascals.
Find the balance in the account after the given period.
$ 4,400 deposit earning 3.6 % compounded monthly, after 3 years.
The balance after 3 years will be $4901.02.
(4x^2*y^7)/2xy
2xy^6
The expression 1/2*mv^2 gives the kinetic energy, in joules, of an object with a mass of m kilograms traveling at a speed of v meters per second. What is the kinetic energy of an experimental unmanned jet with a mass of 1.5 times 10^3 kg traveling at a speed of about 3.2 times 10^3 m divided by s?
The aircraft has a kinetic energy of about 7.68 times 10^9 joules.
5.9 * 10^-2 - 0.078 * 10^3
-7.7941 * 10^1
A population of 40 foxes in a wildlife preserve doubles in size every 12 years. The function y=40*2^x where x is the number of 12-year periods, models the population growth. How many foxes will there be after 36 years?
After 36 years, there will be 320 foxes.
Suppose you deposit $1,000 in a savings account that pays interest at an annual rate of 5%. If no money is added or withdrawn from the account, answer the following questions.
a. How much will be in the account after 4 years?
b. How much will be in the account after 18 years?
a.$1215.51
b.2406.62