Making Equations
Understanding Equations
Compounding
Word Problems
1a Review
100
Make an equation where my initial is 42 and it is growing by 9%.
What is
y=42(1.09)^x
100
Given my compound interest formula the variable that represents initial is...
What is P (also known as principle)?
100
The number of times a year something occurs if it is bi-monthly.
What is 6?
100
The population of a city increases by 12% each year. If its population today is 60,000, the population in 5 years will be...
What are 105,741 people?
100
The solution to the following inequality
2x+5<3x−1
What is x>6?
200
Write the compound interest formula.
What is
y=P(1+r/n)^(n*t)
200
In the compound interest formula "n" stands for...
What is how many times per year it compounds?
200
Given the equation y=42(1+0.09/24)^(24x) the annual percent increasing and the compounding frequency is...
What is 9% twice a month?
200
Your savings account earns an annual interest rate of 0.1%. If you deposit your paycheck of $852.62 and leave it alone. Find the balance of the account after 3 years assuming no prior balance or transactions happen.
What is only $855.18? How sad :(
200
The inverse function to the following function would be...
g(x)=2x+4
What is
g^-1(x)=(x-4)/2
g^-1(x)=(x-4)/2
300
Make an equation from the following graph.
What is
y=50(0.64)^x
300
Which equation shows a decrease of 12% with over 3 years?
A) y=500(1-12)^3
B) y=500(1.12)^3
C) y=500(1-0.12)*3
D) y=500(0.88)(0.88)(0.88)
E) y=500(1-12)(1-12)(1-12)
What is E,
y=500(0.88)(0.88)(0.88)
300
A savings account starts at $400. It has a yearly interest rate of 5%, compounded daily. If no extra money (other than what interest gathers) is put into the account the will total after 3 years is...
What is $464.73?
300
When a child is born, her grandfather decides to put $500 in an account that earns interest. He plans to make no other deposits or withdrawals for 18 years. When the child turns 18 years old, the money in the account will be a birthday gift. The grandfather is choosing between two options below. Choose which option would be better.
Option 1: An account that grows by 7% each year.
Option 2: An account that grows by $50 each year.
What is Option 1?
300
Kiran buys supplies for the school’s greenhouse. He buys f bags of fertilizer and p packages
of soil. He pays $5 for each bag of fertilizer and $2 for each package of soil, and spends a
total of $90. He buys a total of 27 items. Write two equations.
What is 5f+2p=90 and f+p=27?
400
Write an equation that represents the number of people Mrs. Ross sent straight to jail if 12 people have already been sent and she send 2 more people each day.
What is y=2x+12?
400
Given the equation
y=500(1+.25/12)^(12x)
the percent interest increase after six months would be.
What is 13.17%?
400
Mr. M is poor and desperate so he decided to use JG Wentworth for a quick loan to keep himself afloat. His loan was for $2,000 and the nice man in the office gave him a great rate of 0.4 a year! He said it merely compounds semi-daily (apparently it could be much worse.) The amount will Mr. M have to pay back after the 5 year loan period is...
What is $14,745.80?
877 CASh now... ?
400
A double boon this day!
Lo, the tragedy of Romeo and Juliet draweth ever more souls with each performance upon the stage. At first, but 30 souls did gather, yet fortnightly (biweekly if you will) the multitude swelleth in size. The annual increase of this throng is reckoned at 5000%. Pray, compose the equation of compound growth that doth fit this tale.
What art
y=30(1+50/26)^(26x)
?
400
Solve for x in the following equation.
y=(x^2-4)/3
What is
x=sqrt(3y+4)
500
Make an equation that shows the rapid decay of the amount of hair Mr. Bandy has. He started the year with 100,000 hairs and is losing hair at a rate of 25% yearly. He notices the lose is compounded every couple months.
What is
y=100,000(1-0.25/6)^(6x)
500
Given the equation
y=12.4535(1+.24/12)^(12x)
the factor between an input of 4 and 12 is...
What is 6,561?
500
If I have a weekly interest rate of 5% and it compounds daily. Find the new value of my $500 principle after 2 years.
What is $90,251.87?
500
A mutual fund portfolio follows compound interest because the dividends are reinvested every quarter. If there is an annual return of 8.7% compounding daily and one person holds 1/500 of the total assets of $13.7 million, then the amount one person would have after 10 years is...
What is $69,394.58?
500
The definition of the upper fence in statistics.
What is the number cut off where any data point large than it will be an outlier?