9514 1404 393
Answer:
(L, W) ≈ (8.33, 4.17)
Step-by-step explanation:
Substituting for L, we have ...
2(2W) +2W = 25
6W = 25
W = 25/6 ≈ 4.17
L = 25/3 ≈ 8.33
The rounded "exact" solution is ...
(L, W) = (8.33, 4.17)
Probability 1st song is sung by female : 55/100 reduces to 11/20
probability 2nd song is sung by a male : 35/100 reduces to 7/20
probability 3rd song is instrumental : 10/100 reduces to 1/10
probability of all 3 events happening : 11/20 * 7/20 * 1/10 = 77/4000
The amount in the passbook account is $11,000 and the money in the money market account is $8000
Let:
a represent the unknown amount in the passbook account
b represent the unknown amount in the money market account
From the question, the following information can be gathered:
- The money in the passbook account exceeds the amount in the money market account.
This information can be represented with this equation : a - b = 3000
- The interest paid on the passbook account exceeds the interest paid on the money market account.
This information can be represented with this equation : 0.08a - 0.10b = 80
The two equations gotten above would be solved using simultaneous equation and the elimination method
a - b = 3000 equation 1
0.08a - 0.10b = 80 equation 2
Multiply equation 1 by 0.08
0.08 - 0.08b = 240 equation 3
Subtract equation 2 from 3
0.02b = 160
Divide both sides of the equation by 0.02
b = 8000
Substitute for b in equation 1
a - 8000 = 3000
Add 8000 to both sides
a = 11,000
To learn more about simultaneous equations, please check: brainly.com/question/23589883?referrer=searchResults
Answer:
189
Step-by-step explanation:
