Answer:
Let p be the amount invested at 8%. Then the amount invested at 5% would be 30,000-p. So:
.08p+.05(30,000-p)=2100
.03p+1500=2100
.03p=600
p=20,000
$20,000 was invested at 8%; $10,000 was invested at 5%
Step-by-step explanation:
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38(3/5)=Quarters dated 2005=22.8 and round it to 23
(.25)23=$5.75
The quarters from 2005 worth $5.75
Hope this helps!!
Answer:
3 student.
Step-by-step explanation:
From the first statement:
Let the total score be T
Let the total number of student be x
The average of the score = 72
Average = Tota score / number of student
72 = T/x
Cross multiply
T = 72x ..... (1)
Second statement:
One more student took the test and the average becomes 76 with the student having a score of 88.
Therefore,
Overall score = T + 88
Total student = x + 1
Average = 76
Average = overall score / total number of student
76 = (T + 88) /(x + 1)
Cross multiply
76(x + 1) = T + 88
Clear bracket
76x + 76 = T + 88
From equation 1
T = 72x
76x + 76 = 72x + 88
Collect like terms
76x – 72x = 88 – 76
4x = 12
Divide both side by the coefficient of x i.e 4
x = 12/4
x = 3
Therefore, the initial number of the student were 3.
Answer:
1 1/12
Step-by-step explanation:
3/4 x 3/3
1/3x4/4
9/12+4/12=13/12
The fraction 13/12 Cannot be reduced, But the fraction 13/12 is the same as 13 divided by 12
So 13/12=1 1/12
Therefore 3/4+1/3=1 1/12
