Answer:
x = 12
y = 22
Total amount = $2596
Step-by-step explanation:
First let's find the value of each deposit until the 10th in relation to x and y:
1st: x
2nd: y
3rd: x + y
4th: x + 2y
5th: 2x + 3y
6th: 3x + 5y
7th: 5x + 8y
8th: 8x + 13y
9th: 13x + 21y
10th: 21x + 34y
Now, we can write a system with two equations and two variables:
2x + 3y = 90
21x + 34y = 1000
From the first equation: x = (90 - 3y)/2
Using this value of x in the second equation, we have:
21*(90 - 3y)/2 + 34y = 1000
945 - 31.5y + 34y = 1000
2.5y = 55
y = 22
Now we can find x:
x = (90 - 3*22)/2 = 12
Now, summing all the deposits, we have a total of 55x + 88y, which is equal to 55*12 + 88*22 = $2596
Answer:
CSA of cylinder = 704cm²
We know that
CSA of cylinder = 2πrh
or 2πrh = 704
or, 2*22/7 *8 *h = 704 ( since r=8cm)
or, 352h = 704*7
or, h = 4928/352 = 14cm
So, x = 13, x = √3 and x =7i.
now, recall that for an EVEN radical, there are two possible roots, namely is say √3 is say hmmm some value "a", that means that a*a = √3, however, -a*-a is also √3, therefore, ±√3 are two valid values, and therefore -√3 is another one.
now.... keep in mind that, complex solutions or roots, never come all by their lonesome, their sister is always with them, the conjugate, so, for 7i or namely 0 + 7i, her sister is always around, 0 - 7i, which is the other root.
3/33 can be reduced to 1/11 by dividing by 3 on the top and bottom.
1/11 is not equal to 1/10. Although they have the same numerator or number on top, 1, they don't have the same number in the bottom.
So they are not equivalent.
Hope this helps.
