(18) I did x-3/16 = 2.5/4 40 = 4x - 12 28 = 4x x = 7
1 answer:
See the attached image to have a look at how the corresponding sides pair up
The red sides pair up to form the ratio (x-3)/2.5
The blue sides pair up to form the ratio 8/2
The similar figures mean that the two ratios are equal
(x-3)/2.5 = 8/2
2(x-3) = 2.5*8
2x-6 = 20
2x = 26
x = 13
Side note: Solving 40 = 4x-12 should lead to 52 = 4x which means x = 13. You subtracted 12 from both sides instead of adding 12 to both sides.
The red sides pair up to form the ratio (x-3)/2.5
The blue sides pair up to form the ratio 8/2
The similar figures mean that the two ratios are equal
(x-3)/2.5 = 8/2
2(x-3) = 2.5*8
2x-6 = 20
2x = 26
x = 13
Side note: Solving 40 = 4x-12 should lead to 52 = 4x which means x = 13. You subtracted 12 from both sides instead of adding 12 to both sides.
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The correct formula for this is as follows:
where n is the number of compounding periods per year, and r is the annual interest rate as a decimal,
Plugging the given values into the formula, we get:
This equation can be simplified to:
Taking logs of both sides gives:
which can be rearranged to get:
So it will take about 5.864 years for the amount to reach $4550.
where n is the number of compounding periods per year, and r is the annual interest rate as a decimal,
Plugging the given values into the formula, we get:
This equation can be simplified to:
Taking logs of both sides gives:
which can be rearranged to get:
So it will take about 5.864 years for the amount to reach $4550.