Answer:
5%
Step-by-step explanation:
The computation of the two rates of interest is shown below;
The interest rate for $3,000 be x%
And, for $4,500 the interest rate is (x -2%)
The total interest earned is
= x% of $4,500 + (x - 2)% of $4,500
So, the two rates of interest is
x% of $4,500 + (x - 2)% of $4,500 = $435
30x + 45(x - 2) = $435
30x + 45x - 90 = $43
75x = $25
Answer:
117
Step-by-step explanation:
The average of all 7 people is the total weight of the original 6 people, plus the weight of the 7th person, all divided by 7.
For problems like this involving an average of numbers that are "close" together, here is a different strategy for solving the problem that you might like to try.
The original 6 people have an average weight of 173, which is 8 pounds more than the average of all 7 people. So all together, the weight of those 6 people is 6*8=48 pounds over the 165 average. That means the 7th person's weight must be 48 pounds below the 165 average.
So the weight of the 7th person is 165-48 = 117 pounds.
Answer:
13.30
Step-by-step explanation:
$79.80 / 6 hours = $13.30
Answer:
The top cable is <em>115.52 feet </em>long
The bottom cable is<em> 110.86 feet</em> long
Step-by-step explanation:
The ground anchor #2, the tower, ground level, and both cables form a figure made of two right triangles as shown in the figure below
We are required to compute L1 and L2 which are the hypotenuses of both triangles from which we have both legs
We'll apply the Pythagoras's theorem. If a and b are the legs of a right triangle and c its hypotenuse, then
For the bottom ground support cable, a=41, b=103
=110.86\ feet
For the top ground support cable, a=41, b=108
=115.52\ feet
The top cable is 115.52 feet long
The bottom cable is 110.86 feet long