# Percentages - high school - math problems

#### Number of problems found: 280

• Monthly payments 2
Suppose you have selected a new car to purchase for \$19,500. If the car can be financed over a period of 4 years at an annual rate of 6.9% compounded monthly, how much will your monthly payments be?
You need to make a pad in the shape of a regular octagon with a side length of 4 cm. What is the minimum diameter of the circle-shaped semi-finished product from which we make the pad, and what will be the percentage of waste? (Round the results to 1 deci
• Error rate
The exam has 6 questions. Students have an error rate of 20% and can have a maximum of 1 question wrong. What is the probability that they will succeed?
• Salt solution
Calculate the weight of a 50% salt solution that we prepare from 120 g of salt.
• The vaccination
The vaccination coverage of the population is 80%. Unvaccinated make up 60% of all infected. What percentage are unvaccinated more likely to be infected? Consider N = 10,000 inhabitants and K = 1,000 infected. b. How many times more likely are unvaccinate
• A frequency
A frequency table of grades has five classes (A, B, C, D, F) with frequencies of 2,14,13,8 and 1 respectively. Using percentages, what are the relative frequencies of the five classes?
• Railways 3
Railway Corporation wants to purchase a new machine for \$360,000. Management predicts that the machine can produce sales of \$220,000 each year for the next 5 years. Expenses are expected to include direct materials, direct labor, and factory overhead (exc
• An aircraft
An aircraft manufacturing company has submitted bids on two separate airline contracts, A and B. The company feels that it has a 70% chance of winning contract A and a 25% chance of winning contract B. Furthermore, it believes that winning contract A is i
• Deposit
Oh I total of \$15,000 deposited into simple interest accounts the annual simple interest rate on one account at 6% the annual simple interest rate on the second account at 7% how much should be invested in each account so that the total interest earned is
• Level of significance
At a certain college it is estimated that 25% of the students have cars on campus. Does this seem to be a valid estimate if in random sample of 90 college students, 28 are found to have cars? Use a 0.05 level of significance.
• Unemployment rate
Over the last 16 years, the country's unemployment rate has changed according to the following frequency table: years of unemployment: 2 5 2 3 3 1 unemployment rate: 0.5 1 1.5 2 2.5 3 in % (percent). Determine the two-sided confidence interval for the var
• Three sigma rule
The height of trees in a given stand is known to be a quantity with a normal probability distribution with a mean value of 15 m and a variance of 5 m2. Determine the interval in which there will be tree heights in such a stand with a probability of 90%
• Edmond
Edmond Santos borrowed USD 20,000 for 18 months at 6 1/2 % per year. Find the APR (Annual Percentage Rate) if the loan was repaid monthly. The answer is: Note: APR is expressed as a percentage that represents the actual yearly cost of funds over the term
• Five years
Nakato Nobuki, a Japanese artist, wants to have \$24,000.00 in his savings account at the end of five years. Mr. Nobuki deposits \$1,500.00 annually into savings and has a balance of \$8,000.00 today. What must the interest rate on the savings account be for
• Created trio
What is the probability that in the created trio, which consists of 19 boys and 12 girls, they will be: a) the boys themselves b) the girls themselves c) 2 boys and 1 girl?
• The roof
The roof of the tower has the shape of a regular quadrangular pyramid, the base edge of which is 11 m long and the side wall of the animal with the base an angle of 57°. Calculate how much roofing we need to cover the entire roof, if we count on 15% waste
• Megapizza
Megapizza will be divided among 100 people. First gets 1%, 2nd 2% of the remainder, 3rd 3% of the remainder, etc. Last 100th 100% of the remainder. Which person got the biggest portion?
• The town
The town population is 56000. It is decreasing by 2% every year. What will be the population of the town after 13 years?
• Metal washers
Metal washers with a diameter of 80 mm are cut from a strip of steel sheet with a width of 10 cm and a length of 2 m. Calculate the percentage of material waste if no material is lost when two adjacent circles meet.
• Saving for education
Suppose that a couple invested Php 50 000 in an account when their child was born, to prepare for the child's college education. If the average interest rate is 4.4% compounded annually, a, Give an exponential model for the situation b, Will the money be

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