If Daniella opens a mutual fund account with a deposit of $15,000 and it promises to pay an annual interest rate of r%, compounded on a monthly basis. (i) Derive a function B, which shows the balance on Daniella′ s account the end of 6 years. (ii) Make a comparison of the rates of change in B with resect to the interest rate when r is 8% , 10% and 12%.
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.
If Daniella opens a mutual fund account with a deposit of $15,000 and it promises to
pay an annual interest rate of r%, compounded on a monthly basis.
(i) Derive a function B, which shows the balance on Daniella′
s account the end of 6 years.
(ii) Make a comparison of the rates of change in B with resect to the interest rate when r is
8% , 10% and 12%.
(b) A virus is believed to be spreading through a sheep farm according to that equation
N = 450 (
1
1 + 249e
−0.1t ) where
N is the number of sheep infected and t is the number of days.
(i) How many sheep are infected at t = 0?
(ii) Using a spreadsheet calculate the number of sheep infected after 0, 10, 30 , 50, 70, 100 days)
(iii) Will all the sheep become infected eventually? Give reasons to support your answer
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