Percents
The population of Greenville increased by 7% from 2015 to 2016. If the 2016 population is k times the 2015 population, what is the value of k ?
k=1.07
Bacteria are growing in a liquid growth medium. There were 300,000 cells per milliliter during an initial observation. The number of cells per milliliter doubles every 3 hours. How many cells per milliliter will there be 15 hours after the initial observation?
9 600 000
Which expression is equivalent to (m^4q^4z^-1)(mq^5z^3) where m , q , and z are positive?
A) m^4q^20z^-3
B) m^5q^9z^2
C) m^6q^8z^-1
D) m^20q^12z^-2
B) m^5q^9z^2
sqrt((x-2)^2)=sqrt(3x+34)
What is the smallest solution to the given equation?
x=-3
Each year, the value of an investment increases by
0.49% of its value the previous year. Which of the
following functions best models how the value of the
investment changes over time?
A) Decreasing exponential
B) Decreasing linear
C) Increasing exponential
D) Increasing linear
C) Increasing exponential
The number a is 110% greater than the number b . The number b is 90% less than 47 . What is the value of a ?
a=9.87
The equation E(t)=5(1.8)^t gives the estimated number of employees at a restaurant where t is the number of years since the restaurant opened. Which of the following is best interpretation of the number 5 in this context?
A) The estimated number of employees when the restaurant opened.
B) The increase in the estimated number of employees each year.
C) The number of years the restaurant has been open.
D) The percent increase in the estimated number of employees each year.
A) The estimated number of employees when the restaurant opened.
Which expression is equivalent to a^(11/12) where a>0 ?
A) root(12)(a^132)
B) root(144)(a^132)
C) root(121)(a^132)
D) root(11)(a^132)
B) root(144)(a^132)
The function f is defined by f(x)=8sqrt{x} . For what value of x does f(x)=48 ?
A) 6
B) 8
C) 36
D) 64
C)
36
In the linear function f , f(0)=8 and f(1)=12 . Which equation defines f ?
A) f(x)=12x+8
B) f(x)=4x
C) f(x)=4x+12
D) f(x)=4x+8
D)
f(x)=4x+8
The regular price of a shirt at a store is $11.70. The sale price of the shirt is 80% less than the regular price, and the sale price is 30% greater than the store’s cost for the shirt. What was the store’s cost, in dollars, for the shirt?
$1.80
For the function q , the value of q(x) decreases by 45% for every increase in the value of x by 1 . If q(0)=14 , which equation defines q ?
A) q(x)=0.55(14)^x
B) q(x)=1.45(14)^x
C) q(x)=14(0.55)^x
D) q(x)=14(1.45)^x
C)
q(x)=14(0.55)^x
The expression 6root(5)(3^5x^45)root(8)(2^8x is equivalent to ax^b where a and b are positive constants and x>1 . What is the value of a+b ?
a=361/8 or 45.1
What is the set of all solutions to the equation sqrt(x+2)=-x ?
A) {-1,2}
B) {-1}
C) {2}
D) There are no solutions to the given equation.
B)
{-1}
14j+5k=m
The given equation relates the numbers j, k, and m . Which equation correctly expresses k in terms of j and m ?
A) k=(m-14j)/5
B) k=1/5m-14j
C) k=(14j-m)/5
D) k=5m-14j
A)
k=(m-14j)/5