you deposit $2000 in an account earning 6% interest compounded continuously. How much will you have in the account in 15 years?
1 answer:
Answer:
$4793.12
Step-by-step explanation:
The first step in working out the amount after 15 years is to convert the percentage of 6% to a decimal. You can do this by dividing 6 by 100, this gives you 0.06. This is because a percentage is out of 100.
The next step is to add 1 to the value of 0.06, this gives you 1.06. You would add 1 as you are working out a percentage increase.
The final step is to multiply the amount of $2000 by the value of 1.06 to the power of 15, this gives you 4793.12 (rounded to 2 decimal places). This is because we are working out the percentage of $2000 and then adding that on to be recaluclated with the new amount.
1) Divide 6 by 100.
2) Add 1 to 0.06.
3) Multiply 2000 by 1.06 to the power of 15.
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Step by step expansion:
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<u>Answer:</u>
333 people of ward 5 are going to be voting for Spike Jones.
<u>Solution:</u>
We have been given that two-thirds of all voters in Ward 5 plan on choosing Spike Jones for commissioner.
There are 500 voters in Ward 5.
Since 2/3 of all voters in Ward 5 are voting for Spike Jones the remaining 1/3 will not be voting for him.
To find out how many people in ward 5 are exactly voting for Spike Jones. We need to calculate how much is two thirds of 500 is.
This is done as follows:
Since people cannot be denoted in decimal points we have to round it off to a whole number. That’s is 333.
Therefore 333 people of ward 5 are going to be voting for Spike Jones.
From the figure, the vertices of the given triangle are
(-3,4), (1,3) and (5,5).
The given transformation is (x,y) -> (x+3, y-2).
Therefore the coordinates of the transformed triangle are
(-3+3,4-2), (1+3,3-2), (5+3,5-2) = (0,2), (4,1), (8,3)
The transformed triangle is shown in red color.
(-3,4), (1,3) and (5,5).
The given transformation is (x,y) -> (x+3, y-2).
Therefore the coordinates of the transformed triangle are
(-3+3,4-2), (1+3,3-2), (5+3,5-2) = (0,2), (4,1), (8,3)
The transformed triangle is shown in red color.