Mr. smith leaves 3 hours before mrs smith. if he averages 55mph and she 65mph how many hours will it take mrs smith to catch up
1 answer:
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The rate at 14% and 5% are $12, 883 and $2191 respectively.
<h3>How to determine the rate</h3>Given that;
Invested amount = $ 15, 074 at 14% and 5%
Let rate at 14% = x
rate at 5% = y
We have rate at 9% exceeds that of 5% by $1694. 07
Hence,
0. 14x = 0. 05y + $1694. 07 ⇒ equation 1
x + y = $15, 074 ⇒ equation 2
Make 'x' the subject
x =
Substitute in equation 2
Expand the expression
Collect like terms
Make 'y' the subject
y =
y =
Substitute the value in equation 2
x + y = $15, 074
x = $15, 074 - y
x =
x = $12, 883
Therefore , the rate at 14% and 5% are $12, 883 and $2191 respectively.
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Given:
The point (9,-12) is on terminal side of angle theta in standard position.
To find:
The exact value of each of the six trigonometric functions of theta.
Solution:
The given point is (9,-12). Here, x-coordinate is positive and y-coordinate is negative. So, the point lies in 4th quadrant and only cos and sec are positive in 4th quadrant.
We know that,
Now,
Therefore, the values of six trigonometric functions of theta are .