Quiz 4 Review
Solve for x to the nearest hundredth:
7^x=120
x approx 2.46
The value of a laptop is depreciating according to the formula:
V=1200(2.5)^(-0.1x)
where x is the age of the laptop in years and V is in dollars. Find the value of the laptop, to the nearest dollar, after three years.
$912
Solve the linear inequality. Write your answer in interval notation.
4x+7>2x-3
(-5,infty)
Factor:
12ac-18bc-10ad+15bd
(2a-3b)(6c-5d)
The value of a car is depreciating according to the formula:
V=25000(3.2)^(-0.05x)
where x is the age of the car in years and V is in dollars. Find the value of the car, to the nearest dollar, when it is five years old.
approx $18,692
Solve for x: log2(5x-3)=5
x=7
Factor completely:
2x^2+5x-12
(x+4)(2x-3)
Find the solution set for the equation:
|3x-6|+4=13
{-1,5}
Determine how long it would take to make $10,000 if you deposit $6,000 at 10% annual interest compounded quarterly, using
A=P(1+r/n)^(nt)
Round to the nearest hundredth.
5.17 years
Solve for x to the nearest hundredth:
4^x=50
x approx 2.82
Factor completely:
8x^3-27
(2x-3)(4x^2+6x+9)
Find the equation of the line that is parallel to 3x-y=4 and passes through the point (2,-3).
y=3x-9
Solve for x: log4(2x+1)=3
x=31.5
Solve for x:
log(4x+8)-log(x)=1
x=4/3
Find the equation of the line passing through
(3,-2) and (1,4)
y=-3x+7
Solve + Check
sqrt(5x+1)=x+1
x=0 or x=3
Solve for x:
log(5x+5)-log(x)=1
x=1
Determine how long it would take to make $9,000 if you deposit 5,000 at 8% annual interest compounded semi-annually, using
A=P(1+r/n)^(nt)
Round to the nearest hundredth.
7.51 years
Add and simplify:
(x^2+4)/(x^2+3x+2)+(5x)/(x^2+3x+2)
(x+4)/(x+2)
Solve:
x+4y=10
3x-2y=-12
(-2,3)