Each spoke is 4.3 inches long.
Since the spoke is from the center of the wheel to its rim, we are looking for the radius of the circle.
Circumference = 2πr
27 = 2(3.14) r
27 = 6.28 r
27/6.28 = 6.28r/6.28
4.30 = r
The amount he invested in Fund A was twice as much as the amount he invested in Fund B.
LEt x be the amount invested in Fund B
The amount invested in Fund A is 2x
Fund A returned a 8% profit
Profit amount for fund A is 2x * 8% = 2x * 0.08= 0.16x
Fund B returned a 2% profit
Profit amount for fund B is x * 2% = x * 0.02= 0.02x
total profit from the two funds together was S1800
Profit fund A + profit fund B = 1800
0.16x + 0.02x = 1800
0.18x = 1800
Divide by 0.18 from both sides
x = 10000
he invest $10,000 in Fund B
4/10 = 2/5
When you divide both the numerator and denominator by 2 you will get a new fraction of 2/5. This fraction is in simplest form because you can't reduce it further.
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Answer:
y = x^2 +6x+14
Step-by-step explanation:
x = t - 3, y = t^2 + 5
x=t-3
Add 3 to each side
x+3 = t-3+3
x+3 =t
Substitute into the second equation
y = t^2 +5
y = (x+3)^2 +5
Foil the first term
y = (x+3) (x+3) +5
y = (x^2 +3x+3x+9) +5
y = x^2 +6x+9) +5
y = x^2 +6x+14
You multiply 100 by 140%, so basically you add 40% of 100, which is 40.