Ava deposited $14 in a savings account that earns 2.7% simple interest. What would the graph look like?
1 answer:
Deposited amount = $14.
Rate of interest = 2.7%
In decimals 2.7 could be written by dividing 2.7 by 100, we get
0.027.
Interest earned each year = 2.7% of $14 = 0.027*14 = $0.378.
We can make a table to balance by after each year.
First year balance: First year interest + Deposited amount = 0.378 +14 = $14.378.
Second year balance: Second year interest + Deposited amount = 2*0.378 +14 = 0.756+ 14 = $14.756.
Third year balance: Third year interest + Deposited amount = 3*0.378 +14 = 1.134+ 14 = $15.134.
We get four coordinates to graph A(0,14), B(1, 14.378) , C(2, 14.756) and D(3, 15.134).
Plotting those coordinates of the points A, B, C and D on the graph.
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9514 1404 393
Answer:
about 106.5 units
Step-by-step explanation:
The length of each side is found using the distance formula:
d = √((x2-x1)^2 +(y2-y1)^2)
For example, the length of side AB is ...
d = √((9 -2)^2 +(1 -3)^2) = √(7^2 +(-2)^2) = √53 ≈ 7.28
The other side lengths are calculated the same way. The sum of side lengths of the given triangle is ...
AB +BC +CA = 7.28 +13.34 +14.87 = 35.49
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Multiplying each coordinate by 3 effectively dilates the triangle by a factor of 3 about the origin. That increases the perimeter by a factor of 3, so it is ...
3(35.49) ≈ 106.5 . . . . units
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I find it convenient to use a calculator or spreadsheet to do the tedious calculations.
