X Axis Stress Rating and Y Axis Frequency Algebra Questions

Hi,

I need step by step solutions for all the questions in the attached files. Please make a different word/pdf files for each of the 5 assignments.

Thanks

Instructions
Create a pdf of your work to submit for the activity. You must show work to earn full credit for a question. Be sure to number your
work, and that the work is readable after the scan.
Directions: Answer each question completely. When possible, show all work.
1.) An ice cream store sells two drinks, in four sizes, and five flavors. In how many ways can a customer order a drink?
2.) How many different four-letter radio station call letters can be formed if the first letter must be W, Y, or K?
3.) The following questions deal with a family with three children. If M represents a male child and F is a female child,
the set of equally likely outcomes for the children’s genders is {MMM, MMF, MEM, MFF, FMM, FMF, FFM, FFF}. Find the
probability of selecting a family with:
a.) exactly one male child
b.) exactly two male children
c.) AT LEAST two male children
d.) does NOT have exactly two male children
4.) The table shows the number of Americans who moved in a recent year, categorized by where they moved and
whether they were an owner or a renter. Use the data in the table, expressed in millions, to solve the following
problems.
Moved to Same Moved to Different Moved to Different
State
State
Country
Owner
11.7
2.8
0.3
Renter
18.7
4.5
1.0
Use the above table to find the probability, expressed as a decimal rounded to the nearest hundredth, that a randomly
selected American who moved was:
a.) an owner
b.) a person who moved to a different country
c.) a renter who moved to a different state
d.) an owner who moved to the same state.
Instructions
Create a pdf of your work to submit for the activity. You must show work to earn full credit for a question. Be sure to number your
work, and that the work is readable after the scan.
Directions: Follow the directions and answer each question completely. Show all work for full credit.
1.) Write the English phrase an algebraic expression. Then, simplify the expression. Let x represent the number.
A number decreased by the sum of a number and 7.
Expression:
Simplified Answer:
Write an equation to model each of the following situation. Then, solve the equation and answer the question(s) asked. Be sure to
include units in your final answer. Box or circle your final answer.
2.)In 2005, there were 18,300 students at college A, with a projected enrollment increase of 1250 students per year. In the same
year, there 27,300 students at college B, with a projected enrollment decline of 1000 students per year. According to these
projections, when will the colleges have the same enrollment? What will be the enrollment in each college at that time?
3.) After a 30% reduction, you purchase a dictionary for $30.80. What was the dictionary’s price before the reduction?
4.) The median starting salary of a computer science major exceeds that of an education major by $21 thousand. The median starting
salary of an economics major exceeds that of an education major by $14 thousand. Combined, the three median starting salaries are
$140 thousand. Determine the median starting salaries of education majors, computer science majors, and economics majors with
bachelor’s degrees.
Instructions
Create a pdf of your work to submit for the activity. You must show work to earn full credit for a question. Be sure to number your
work, and that the work is readable after the scan.
Directions: Answer each question completely. Round any answers to the nearest cent. Do not round until your final answer(s).
Round any monthly payments to the nearest cent.
1.) You deposit $8000 into a savings account that pays 4% interest compounded annually.
a.) Find how much money there will be in the account at the end of 3 years.
b.) Find the interest earned.
2.) How much money should be deposited today in an account that earns 10.5% compounded monthly so that it will accumulate to
$22,000 in four years?
3.) Suppose that you decide to buy a car for $37,925, including taxes and license fees. You saved $12,000 for a down payment and
can get a five-year loan at 6.58%. Find the monthly payments and the total interest for the loan.
4.) Suppose your credit card has a balance of $3600 and an annual interest rate of 16.5%. You decide to pay off the balance over two
years. If there are no further purchases charged to the card,
a.) How much must you pay each month?
b.) How much total interest will you pay?
5.) The price of a home is $220,000. The bank requires a 20% down payment and three points at the time of closing. The cost of the
home is financed with a 30-year fixed-rate mortgage at 7%.
a.) Find the required down payment.
b.) Find the amount of the mortgage.
c.) How much must be paid for the three points at closing?
d.) Find the monthly payment (excluding escrowed taxes and insurance).
e.) Find the total cost of interest.
f.) After you have paid off the mortgage, how much total money have you spent on the house?
Instructions
Create a pdf of your work to submit for the activity. You must show work to earn full credit for a question. Be sure to number your
work, and that the work is readable after the scan.
Directions: Answer each question completely. If you are using a formula, write the formula and identify the number that you are
substituting in for each variable (like we did in class). If necessary, round money answers to the nearest cent, and percent answers
to the nearest tenth of a percent. Do not round until your final answer.
1.) The price of a color a printer is reduced by 30% of its original price, which is $1500. When it still does not sell, its price is reduced
by 20% of the reduced price. The salesperson informs you that there has been a total reduction of 50%. Is the salesperson using
percentages properly? If not, what is the actual percent reduction from the original price?
2.) A jacket regularly sells for $135. The sale price is $60.75. Find the percent decrease of the sale price from the regular price.
3.) You deposit $4500 in a savings account at Yourtown Bank, which has a simple interest rate of 2.5%. Find the interest at the end
of the second year.
4.) You borrow $300 from a friend, and promise to pay back $520 in seven months. What annual interest rate will you pay?
5.) A bank offers a CD that pays a simple interest rate of 4.3%. How much must you put in this CD now in order to have $7500 for a
kitchen remodeling project in three years? (Reminder: Round UP to the nearest cent)