ANSWER

EXPLANATION
The first equation is

The second equation is

We want to eliminate y, so we multiply the first equation by



We now subtract equation (3) from (2)



Multiply both sides by



Substitute into the first equation to solve for x .

Multiply to obtain



Multiply both sides by 2.


The solution is

Answer:
Step-by-step explanation:
Total fruits T= 5+7 = 12
No. Of apple n(A) = 5
No. Of peaches n(P) = 7
P(A) 1st = n(A)/T = 5/12
P(P) 2nd = n(p)/(T-1) = 7/11
: P(A and P) = 5/12 × 7/11
= 35/132
It would be the first one and the third one then the last
Total investment = $10,500
Let x = amount of first investment, and y the amount of the second investment.
First investment:
Interest rate = 9 (1/5)% = 0.092
Earned interest = 0.092x
Second investment:
Interest rate = 9% = 0.09
Earned interest = 0.09y
Total interest after one year is $957.00, therefore
0.092x + 0.09y = 957
or
1.0222x + y = 10633.33 (1)
Also,
x + y = 10500 (2)
Subtract (2) from (1).
0.0222x = 133.33
x = 6000
y = 10500 - x = 4500
Answer:
The first investment is $6,000 at 9 (1/5)% rate;
The second investment is $4,500 at 9% rate.
10 different sequences
all tails, 1 head 8 tails,2 heads 7 tails,3 heads 6 tails,4 heads 5 tails,5 heads 4 tails,6 heads 3 tails,7 heads 2 tails,8 heads 1 tail and All heads.