We know that the interest decreased by 29.3%, therefore
what was left now is simply just 70.7% of the original, therefore we divide
this by 0.707
rate = 7.7% / 0.707
rate = 10.89%
<span>So the rate was 10.89% 10 years ago</span>
Answer:
C
Step-by-step explanation:
By tracing the figure, we see that we go around a semicricle twice and go in a straight path twice. So the perimeter of this figure consists of two semicircles and two line segments, hence the answer is C.
6 + y × 9 (the x is a times sign btw)
Answer: 33 math problems.
Step-by-step explanation:
Let x = Number of math problems
y= Number of history problems
According to the question , we have

We can rewrite (i) as
(iii)
Now, subtract (iii) from (ii), we get

Put this in (i), we get

Hence, you have to complete 33 math problems.
We are asked to solve for the width "x" in the given problem. To visualize the problem, see attached drawing.
We have the area of the swimming pool such as:
Area SP = l x w
Area SP = 10 * 16
Area SP = 160 feet2
Area of the swimming pool plus the sidewalk with uniform width:
Area SP + SW = (10 + x) * (16 + x)
160 + 155 = 160 + 10x + 16x + x2
160 -160 + 155 = 26x + x2
155 = 26 x + x2
x2 + 26x -155= 0
Solving for x, we need to use quadratic formula and the answer is 5 feet.
The value of x is
<span>
5 feet. </span>