It has been given that y varies inversely with x, therefore the equation for this relationship is as follows;
y =
\
when y = -18 and x = 6
-18 = k/ 6 ---1)
We need to find x when y = 5
5 = k/x
when we divide 1)/2), k gets cancelled
x = -18*6/5
x = -21.6
when y = 5, then x = -21.6
3694.51 is the answer because the formula you have to use is V=pi r^2h.
V=pi14^2*6
V=pi*196*6
V=pi*1176
V=3694.51
I will send you a hopefully helpful link. https://www.ncdc.noaa.gov/sotc/national/201403
First, a bit of housekeeping:
<span>The meaning of four consecutive even numbers is 15. Wouldn't that be "mean," not meaning? Very different concepts!
The greatest of these numbers is _______ a^1
"a^1" means "a to the first power. There are no powers in this problem statement. Perhaps you meant just "a" or "a_1" or a(1).
The least of these numbers is ______a^2.
No powers in this problem statement. Perhaps you meant a_2 or a(2)
In this problem you have four numbers. All are even, and there's a spacing of 2 units between each pair of numbers (consecutive even).
The mean, or arithmetic average, of these numbers is (a+b+c+d) / 4, where a, b, c and d represent the four consecutive even numbers. Here this mean is 15. The mean is most likely positioned between b anc c.
So here's what we have: a+b+c+d
------------- = 15
4
This is equivalent to a+b+c+d = 60.
Since the numbers a, b, c and d are consecutive even integers, let's try this:
a + (a+2) + (a+4) + (a+6) = 60. Then 4a+2+4+6=60, or 4a = 48, or a=12.
Then a=12, b=14, c=16 and d=18. Note how (12+14+16+18) / 4 = 15, which is the given mean.
We could also type, "a(1)=12, a(2)=14, a(3) = 16, and a(4) = 18.
</span>
$500 was earned over 3 years
so, to find one year
500 ÷ 3 = $166.67
Interest for one year is $166.67
Interest rate for one year is 8%
8% = 166.67
1% = $20.83
100% = $2083.33
Principal amount is $2083.33
