Answer:
$12159 per year.
Step-by-step explanation:
If I invest $x each year at the simple interest of 7.5%, then the first $x will grow for 35 years, the second $x will grow for 34 years and so on.
So, the total amount that will grow after 35 years by investing $x at the start of each year at the rate of 7.5% simple interest will be given by
= ![35x + \frac{x \times 7.5}{100} [35 + 34 + 33 + ......... + 1]](https://tex.z-dn.net/?f=35x%20%2B%20%5Cfrac%7Bx%20%5Ctimes%207.5%7D%7B100%7D%20%5B35%20%2B%2034%20%2B%2033%20%2B%20.........%20%2B%201%5D)
= ![35x + \frac{x \times 7.5}{100} [\frac{1}{2} (35) (35 + 1)]](https://tex.z-dn.net/?f=35x%20%2B%20%5Cfrac%7Bx%20%5Ctimes%207.5%7D%7B100%7D%20%5B%5Cfrac%7B1%7D%7B2%7D%20%2835%29%20%2835%20%2B%201%29%5D)
{Since sum of n natural numbers is given by 
}
= 35x + 47.25x
= 82.25x
Now, given that the final amount will be i million dollars = $1000000
So, 82.25x = 1000000
⇒ x = $12,158. 05 ≈ $12159
Therefore. I have to invest $12159 per year. (Answer)
Answer:
the complete question is found in the attachment
1) D. hyperbolic paraboloid
2)C. elliptic paraboloid
3)E. cone
4)F. hyperboloid.
Step-by-step explanation:
The complete explanation is found in the attachment
For this case we must write a power between (340,345)
We chose 343.
We divide the number until we get an exact division:
So we have:
So, the power is:
ANswer:
Answer:
57
Step-by-step explanation:
Subtract one player from the total number, because one has to block.
19
Multiply this by the number of goalies there are.
19*3=57
There will be 57 kicks.
Answer:
8 Shampoo Concentrate
Step-by-step explanation:
There's a ratio of 9:2 so for every 9 cups of water there's two cups of shampoo concrete.
We'll need 9 multiplied by 4 is 36
so we need to multiply 2 with 4
4 multiplied by 2 is 8
