Juana invests $1,500 in an account accumulating 3% interest according to the equation v = 1500(1.03), where v
2 answers:
The <em>initial</em> investment of Calvin must be increased by a factor of 115.927 % to equal Marquez's investment at any time. (Correct choice: D)
<h3>How to determine the investment needed by Calvin to equal Marquez's investment at any time</h3>
In this question we must apply the concept of compound interest to derive the <em>initial</em> investment to be done by Calvin. According to the statement, Calvin invests money five years later than Marquez.
To determine the initial investment to be deposited by Calvin such that his investment equals Marquez's investment at any time we resort to the following expression:
(1)
Then, we simplify the required <em>initial</em> investment:
And the increase factor is:
The <em>initial</em> investment of Calvin must be increased by a factor of 115.927 % to equal Marquez's investment at any time. (Correct choice: D)
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A - 90 degrees
B - 110 degrees
C - 78.5 =
5 to the second power
D - 15.3
To find A, the point of intersection of a tangent to the center of a circle always makes a 90 degree angle.
To find B, do 360 subtracted by all known angles while keeping in mind the angle opposite to RST.
To find C, use the formula to find an area of a circle. In this case, OP = pi r squared.
To find D, you need to realize that it is just a fraction of the circle which is 70 degrees. So you need to use the fraction to find the answer, to do so you use (70/360) times 78.5 which gets you 15.3.
Hope this helps!
B - 110 degrees
C - 78.5 =
D - 15.3
To find A, the point of intersection of a tangent to the center of a circle always makes a 90 degree angle.
To find B, do 360 subtracted by all known angles while keeping in mind the angle opposite to RST.
To find C, use the formula to find an area of a circle. In this case, OP = pi r squared.
To find D, you need to realize that it is just a fraction of the circle which is 70 degrees. So you need to use the fraction to find the answer, to do so you use (70/360) times 78.5 which gets you 15.3.
Hope this helps!