(b) Suppose $2,300 is borrowed and the interest is compounded continuously. If A(t) is the amount due after t years, where 0 st< 3, graph A(t) for each of the interest rates 6%, 8%, and 10% on a common screen. y y 3200 3200 3000 3000 8% 10% 2800 2800 10% 6%. 2600 6% 2600 8% 2400 2400 0.5 1.0 1.5 2.0 2.5 3.0 0.5 1.0 1.5 2.0 2.5 3.0 y y 3200 3200 3000 3000 6% 10% 2800 2800 8% 8% 2600 10% 2600 6% 2400 2400 0.5 1.0 1.5 2.0 2.5 3.0 0.5 1.0 1.5 2.0 2.5 3.0
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.
![(b) Suppose $2,300 is borrowed and the interest is compounded continuously. If A(t) is the amount due after t years, where 0 <t< 3,
graph A(t) for each of the interest rates 6%, 8%, and 10% on a common screen.
y
y
3200
3200
3000
3000
8%
10%
2800
2800
10%
6%
2600
6%
2600
8%
2400
2400
0.5
1.0
1.5
2.0
2.5
3.0
0.5
1.0
1.5
2.0
2.5
3.0
y
y
3200
3200
3000
3000
6%
10%
2800
2800
8%
8%
2600
10%
2600
6%
2400
2400
0.5
1.0
1.5
2.0
2.5
3.0
0.5
1.0
1.5
2.0
2.5
3.0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe6ba3902-a5f0-4b59-b5a8-6c89d7401101%2F3c48c5c4-5733-4651-a893-ce6a124de2b4%2F4a3zz61_processed.png&w=3840&q=75)
![(a) If $2,300 is borrowed at 6.5% interest, find the amounts due at the end of 3 years if the interest is compounded as follows. (Round
your answers to the nearest cent.)
(i)
annually
$ 3140.67
(ii)
quarterly
$ 3145.96
(iii) monthly
$ 3158.15
(iv) weekly
$ 3159.42
(v) daily
(vi) hourly
(vii) continuously
%24](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe6ba3902-a5f0-4b59-b5a8-6c89d7401101%2F3c48c5c4-5733-4651-a893-ce6a124de2b4%2Fjjxp7w_processed.png&w=3840&q=75)
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