John made a lump sum deposit of $ 7,600 in an account that pays 6.5% per year. Find the value (maturity value) of his account after 5 years. How much is the interest? Maturity value Interest Done
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A: Simple interest problem
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Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
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- Suppose a company charges a premium of $150 per year for an insurance policy for storm damage to roofs. Actuarial studies show that in case of a storm, the insurance company will pay out an average of $8000 for damage to a composition shingle roof and an average of $12,000 for damage to a shake roof. They also determine that out of every 10,000 policies, there are 7 claims per year made on composition shingle roofs and 11 claims per year made on shake roofs. What is the company’s expected value (i.e., expected profit) per year of a storm insurance policy? What annual profit can the company expect if it issues 1000 such policies? Determine the probability of a composition shingle roof claim out of 10,000 = ______ Determine the probability of a shake roof claim out of 10,000 = ______ How many claims are made out of 10,000? = _______ What is the probability of no claims out of 10,000? = _______ How much does each shingle roof claim cost the company, don’t forget each person pays $150…IN excel if possibleGreat Grasslands Grains, Inc. (GGG) manufactures and sells a wide variety of breakfast cereals. GGG’sproduct development lab recently created a new cereal that consists of rice flakes and banana-flavoredmarshmallows. The company’s marketing research department has tested the new cereal extensivelyand has found that consumers are enthusiastic about the cereal when 16-ounce boxes contain at least1.6 ounces and no more than 2.4 ounces of the banana-flavored marshmallows.As GGG prepares to begin producing and selling 16-ounce boxes of the new cereal, which it has namedGo Bananas management is concerned about the amount of banana-flavored marshmallows. It wants tobe careful not to include less than 1.6 ounces or more than 2.4 ounces of banana-flavoredmarshmallows in each 16-ounce box of Go Bananas. Tina Finkel, VP of Production for GGG, hassuggested that the company measure the weight of banana-flavored marshmallows in a random sampleof 25 boxes of Go Bananas on a weekly…A producer of pocket calculators purchases the main processor chips in lots of1,000. The producer would like to have a 1 percent rate of defectives but willnormally not refuse a lot unless it has 4 percent or more defectives. Samples of50 are drawn from each lot, and the lot is rejected if more than two defectives arefound.a. What are p0, p1, n, and c for this problem?
- At the Acme Cement Company, employeescontribute to a welfare fund at the rate of 4% ofthe first $1000 earned, 3% of the next $1000,2% of the next $1000, and 1% of any additionalincome. What will Mr. Morris contribute in ayear in which he earns $20,000?The iHub features an array of 3D printers for student use. 3D printers use plastic filament spools to print out plastic parts. The iHub purchases 85% of their filament spools from Amazon, and the rest of their filament spools from Flash Forge. It has been determined that 9% of the filament spools from Amazon are defective, while only 3% of the filament spools from Flash Forge are defective. i) The iHub randomly selects one filament spool from its inventory. What is the probability of it being a defective filament spool? (three decimals) ii) If a filament spool at the iHub is randomly selected and determined to be defective, what is the probability that the filament spool was purchased from Amazon? (three decimals)Suppose 55 percent of the customers at Pizza Palooza order a square pizza, 72 percent order a soft drink, and 48 percent order both a square pizza and a soft drink. Is ordering a soft drink independent of ordering a square pizza? Yes No
- A farmer would like to evaluate Miracle Grow when used on his potted daisy plants. He sets up 20 plants in a room all facing the same window, obtaining the same amount of sunlight, and waters them identically each day. For a month, he monitors how much each plant grows. Then, he adds Miracle Grow to every pot and monitors how much each plant grows during a month with Miracle Grow. At the end of two months, he discovers that 14 plants grew more with Miracle Grow. Test the hypothesis that Miracle Grow increases plant growth (using an alpha level of .01). a) Is this a one-tailed or two-tailed test? ( b) State the null hypothesis. c) State the alternative hypothesis. d) Find the critical value(s). e) Calculate the obtained statistic. f) Calculate the P-Value (significance) of the obtained statistic). g) Make a decision. h) What does your decision mean?Southwestern Electronics has developed a new calculator that performs a series offunctions not yet performed by any other calculator. The marketing department isplanning to demonstrate this calculator to a group of potential customers, but it isworried about some initial problems, which have resulted in 4 percent of the newcalculators developing mathematical inconsistencies. The marketing VP is planningon randomly selecting a group of calculators for this demonstration and is worriedabout the chances of selecting a calculator that could start malfunctioning. Hebelieves that whether or not a calculator malfunctions is a Bernoulli process, and heis convinced that the probability of a malfunction is really about 0.04. Assuming thatthe VP selects exactly 50 calculators to use in the demonstration, and using thePoisson distribution as an approximation of the binomial, what is the chance ofgetting at least three calculators that malfunction?A municipal solid-waste site for a city must be located at Site A or Site B. After sorting, some of the solid refuse will be transported to an electric powerplant where it will be used as fuel. Data for the hauling of refuse from each site to the power plant are shown in Table P2-4. If the power plant will pay $8.00 per cubic yard of sorted solid waste delivered to the plant, where should the solid-waste site be located? Use the city’s viewpoint and assume that 200,000 cubic yards of refuse will be hauled to the plant for one year only. One site must be selected.
- Company A receives large shipments of microprocessors from Company B. It must try to ensure the proportion of microprocessors that are defective is small. Suppose Company A decides to test ten microprocessors out of a shipment of thousands of these microprocessors. Suppose that if at least one of the microprocessors is defective, the shipment is returned. Complete parts a through c. a. If Company B's shipment contains 8% defective microprocessors, calculate the probability the entire shipment will be returned. The probability is nothing.Company A receives large shipments of microprocessors from Company B. It must try to ensure the proportion of microprocessors that are defective is small. Suppose Company A decides to test ten microprocessors out of a shipment of thousands of these microprocessors. Suppose that if at least one of the microprocessors is defective, the shipment is returned. Complete parts a through c. a. If Company B's shipment contains 12% defective microprocessors, calculate the probability the entire shipment will be returned. The probability is nothing. (Round to four decimal places as needed.) If Company B and Company A agree that Company B will not provide more than 5% defective chips, calculate the probability that the entire shipment will be returned even though only 5% are defective. The probability is (please show how you achieved answer).Company A receives large shipments of microprocessors from Company B. It must try to ensure the proportion of microprocessors that are defective is small. Suppose Company A decides to test 10 microprocessors out of a shipment of thousands of these microprocessors. Suppose that if at least one of the microprocessors is defective, the shipment is returned. Complete parts a through c.a. If Company B's shipment contains 8% defective microprocessors, calculate the probability the entire shipment will be returned.The probability is0.5656.(Round to four decimal places as needed.) I only need answer to B below:b. If Company B and Company A agree that Company B will not provide more than 3% defective chips, calculate the probability that the entire shipment will be returned even though only 3% are defective.The probability is (Round to four decimal places as needed.)