Answer:
Find the length of the diameter and the length of the circumference of the circle. Divide the length of the circumference by the length of the diameter. Set up an equation showing the ratio of the circumference to the diameter equal to π . Then rearrange the equation by solving it for the circumference. Substitute 2 times the radius for the diameter.
0.41 > 3/7 > 43% this is the answer
Answer:
Step-by-step explanation:
The given relations can be used to write two equations describing the coins. One equation can express the total number of coins; the other, their total value.
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<h3>setup</h3>
Let d and q represent the numbers of dimes and quarters, respectively. The the total number of coins is ...
d + q = 25
and their total value is ...
0.10d +0.25q = 5.20
<h3>solution</h3>
Using the first equation to write an expression for d, we can substitute that into the second equation.
d = 25 -q
0.10(25 -q) +0.25q = 5.20
0.15q = 2.70 . . . . . . . . . collect terms, subtract 2.50
q = 18 . . . . . . . . . . . divide by 0.15
d = 25 -q = 7
You have 18 quarters and 7 dimes.
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<em>Additional comment</em>
It is generally convenient to solve for the number of the higher-value coin. That way, the numbers in the equations stay positive, tending to reduce errors.
Answer:
Interest I = $10.67
Step-by-step explanation:
Simple interest I = principal × rate × time
I = Prt
Given;
Principal P = $200
rate r = 4% = 0.04
time t = 16 months = 16/12 years
Substituting the given values;
I = $200 × 0.04 × 16/12
I = $10.66666666666
I = $10.67
She will pay $10.67 interest.
