Answer:
44.5 yards
Step-by-step explanation:
Start with the formula of the circumference of a circle.
C = πd
Now all you have to do is plug in the numbers.
279.46 = (3.14)d
Divide both sides by 3.14
d = 89
But since you're finding the radius, you have to divide the diameter by 2.
89/2 = 44.5
Answer:
- $8000 at 1%
- $2000 at 10%
Step-by-step explanation:
It often works well to let a variable represent the amount invested at the higher rate. Then an equation can be written relating amounts invested to the total interest earned.
__
<h3>setup</h3>
Let x represent the amount invested at 10%. Then 10000-x is the amount invested at 1%. The total interest earned is ...
0.10x +0.01(10000 -x) = 280
<h3>solution</h3>
Simplifying gives ...
0.09x +100 = 280
0.09x = 180 . . . . . . . subtract 100
x = 2000 . . . . . . divide by 0.09
10000 -x = 8000 . . . . amount invested at 1%
<h3>1.</h3>
$8000 should be invested in the 1% account
<h3>2.</h3>
$2000 should be invested in the 10% account
Answer:
He should expect to be stopped a total of 16 times
Step-by-step explanation:
What the question is saying is that out of every 5 intersections, he would be stopped at 2.
Now, for forty times in which he passes through an intersection , we want to know the number of times in which he would be stopped
In this case we only need to multiply the probability by the number of times in which he passes an intersection and that would be 2/5 * 40 = 16 times
8.333333
let x=8.33333 and 10x=83.33333
10x-x=83.333-8.333
9x=75
x=75/9
x=25/3
x=8 1/3
Now if you meant:
8.383838 then
100x-x=838.3838-8.3838
99x=830
x=830/99
It's rational because it is a repeating decimal. 20/6=3.33333333333333...
