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
1/2 + 7/2 = 8/2 or 4
Hope this helps
Answer:

Step-by-step explanation:
The complete question is
<em>If the box holds 24 of these sugar cubes what is the total volume of the box.</em>
<em>The sugar cubes are 1/2 x 1/2 x 1/2</em>
<em />
The total volume of the box would be the volume of each sugar cube multiplied by 24, because the box is formed by those 24 sugar cube.
The volume of one sugar cube

We have 24 of them, so the volume of the whole box is

Therefore, the volume of the box is

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Answer:

Step-by-step explanation:
For the quadratic equation
the discriminant is defined as

and the quadratic formula for the roots gives us two roots:

and

For the equation
use quadratic formula to find roots:

So,
