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: 5;6
Step-by-step explanation:
10 divided by 2 is 5
12 divided by 2 is 6 and plus I got this answer correct
Answer:
see attached
Step-by-step explanation:
The graph is a series of horizontal lines. A solid dot goes wherever there is an "or equal to" symbol in the inequality. An open dot goes where the point is not included in the function definition (but nearby points are).
Answer:
The statement
is a tautology.

Step-by-step explanation:
We have the following statement:

To reduce the statement to a tautology we need to use the table of logical equivalences as follows:

by the the logical equivalence involving conditional statement.
by the the logical equivalence involving conditional statement.
by the Associative law.
by the Negation law.
by the Domination law.