After getting a great job from your prestigious CSM degree, you are shopping for a $300,000, 30-year home loan. The monthly payment is m(r) = (300000 r /12) / 1 − (1 + r 12 ) −360 ,where r is the annual interest rate. Current interest rates are anywhere between 2% (r = 0.02) and 5% (r = 0.05), depending on credit. (a) Use the Intermediate Value Theorem to show that there is an interest rate between 2 and 5 percent that allows you to make a monthly payment of $1250. Show that all conditions of the theorem are met and correctly state the conclusion in context. Be specific about the intervals for this problem; don’t just state IVT generally.
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.
After getting a great job from your prestigious CSM degree, you are shopping for a $300,000, 30-year home loan.
The monthly payment is m(r) = (300000 r /12) / 1 − (1 + r 12 ) −360
,where r is the annual interest rate. Current interest rates are anywhere between 2% (r = 0.02) and 5% (r = 0.05), depending on credit.
(a) Use the Intermediate Value Theorem to show that there is an interest rate between 2 and 5 percent that allows you to make a monthly payment of $1250. Show that all conditions of the theorem are met and correctly state the conclusion in context. Be specific about the intervals for this problem; don’t just state IVT generally.
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