Answer:
the volume of a cylinder = V=Ah =pirsqh
=pie × r sq × h
= 3.14×4 ×4×9 = 452.16 so thats eliminated?
Volume of a cone = V= 1÷3pirsqh
= 1/3×3.14×4×4×9 = 150.72
volume of cylinder = 2×pi×r×h+2×pi× r×r
=241.645
not sure choose the ones you think a closest?
<span>Presumably you are saying that the 7.5% is the actual real effective per annum rate since you did not include a compounding interval. Therefore if you let R = 1.075 which is 7.5%, X = $1,000 and F(n) be the balance after n years then you can figure it out by thinking about what happens. After one year, your balance is:
F(1) = X * R
After two years, your balance is:
F(2) = ( F(1) +X ) * R
.:
F(2) = X * R^2 + X * R
After three years, your balance is:
F(3) = ( F(2) + X ) * R
F(3) = X * R^3 + X * R^2 + X * R
You can see that the general form is:
F(n) = X * summation of R^k for k = 1 to n
Applying the summation of a geometric sequence equation and you get:
F(n) = X * ( ( 1 - R^(n+1) ) / ( 1 - R ) - 1 )
Therefore the total value of the investments after 10 years is:
F(10) = $1,000 * ( ( 1 - 1.075^11 ) / ( 1 - 1.075 ) - 1 )
F(10) = $15,208.12
If you blindly use the programs in the business calculators, you'll get the wrong answer of $14,147.09 because those calculators assume that the deposit is made at the end of the year not at the beginning. The equation is slightly easier to work out that way as the summation of the geometric sequence would be for k from 0 to n-1. That's one of the downfalls of relying on those calculators, you don't actually understand what's happening.
Now the portion of that which is from the first $1,000 payment is $1,000 * 1.075^10 which is $2,061.03</span><span>
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Answer: 7/8
Cos2x has 3 formulas, Sinx is given in the question, we should use the formula with sinus. I guess that's the solution.
It’s easier if you turn the fractions into decimals and arrange them in order from biggest to smallest. 3/4= 0.75, 5/6= 0.83, 7/9= 0.77, 1/2= 0.5, 2/3= 0.66, 7/12= .583, 15/24= 0.625. Then obviously, you order them from biggest to smallest:
0.83 (5/6), 0.77 (7/9), 0.75 (3/4), 0.66 (2/3), 0.583 (7/12), 0.5 (1/2).
