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?
Regular octagon pad
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