exp functions MC
The exponential function y=16(2x) could be written as
a. y= 32x
b.y=25x
c. y= 2x+4
d. y= 2x3
c. y=2x+4
If $500 is placed in a savings account that earns a 6% nominal interest compounded monthly, then which of the following represents the account’s worth after 10 years?
$909.70
Determine an algebraic formula that defines the sequence: 5, 10, 15, 20
a. a(n)= n5
b. a(n)= n+5
c. a(n)= 5n
c. 5n
Determine an algebraic formula that defines the sequence:
3,9,27,81
a(n)= 3n
Sequences below are defined recursively. Determine and label the next three terms of the sequence. f(1)=4 and f(n-1) +8
f(2)= 8
f(3)= 20
f(4)= 28
For the function f(x)= 5(2)x+7 , which of the following represents its y-intercept?
a.1.
b.5
c.12
d.17
c.12
If g(x)=(1/5)2x+7-3 then algebraically determine the solution to the equation g(x)=22
x= -9/2
A recursive sequence is defined by an+1 = 2an-1 with a1= 0 and a2= 1. Which of the following represents the value of a3?
a.2
b.4
c.3
d.5
a.2
If f(1)=12 and f(n)= f(n-1)-4 then which of the following represents the value of f 40 ?
-144
The expression (1/x3)2 is equal to
a. x-1
b. x2/3
c. x-5
d.x-6
d. x-6
If a population grows at a constant rate of 2.8% per year, then by what percent will it grow over the next 10
years?
a.17%
b.28%
c.32%
d.39%
c.32%
If the population of Ashmore, Illinois is decreasing by 5.8% per year, then by what percent will it decrease in the next 5 years? Show how you arrived at your result. Round to the nearest tenth of a percent.
25.8%
Which of the following formulas would represent the sequence 10, 20, 40, 80, 160...
a. a(n) = 2n
b. a(n) = n2
c. a(n) = 10(2)n
d. a(n) = 10(2)n
c. 10(2)n
Generate the next three terms of each geometric sequence defined below.
f(n)= f(n-1) x (-2) and f(1)=5
f(2)= -10
f(3)= 20
f(4)= -40
A population of fruit flies is increasing at a rate of 22.5% per hour. If the population had an original size of 10 flies, then what is its size after one day?
1304
Which of the following values of x solves: (0.5)3x+2=85x-4?
a.2/3
b.5/9
c.3
d.7
b. 5/9
If 5bx-3=7 then x=
3+logb(1.4)
Find the sum of the geometric series with the following properties: a1= -5, r= -2 and n=10
a. 1,250
b. 1,705
c. 2,020
d. 790
b. 1,705
Given that a1=5 and a2=15 are the first two terms of a geometric sequence, determine the values of a3 and a10. Show the calculations that lead to your answers.
a3= 45
a10= 98,415
The water level in a draining reservoir is changing such that the depth of water decreases by 7.5% per hour. If the water starts at a depth of 45 feet, then what is the function that properly models the depth, d, as a function of time, t, in hours since it started draining?
d=45(.925)t