Answer:
2. It will be a 7 3/4in x 12 1/4in rectangle
4. 31,987 in^2
6. 30 547/640 in^3
Step-by-step explanation:
2. This is a cross-section. In order to get the cross-section, you take your shape. (a 7 3/4 x 12 1/4 x 3 3/4 rectangle) and essentially you remove the last dimension (Height).
4. Take your surface area value (319 35/64) and multiply it by 100 (10 per dimension length and width). This leaves you with 319.87x100 = 31,987 in^2
6. (308 35/64)/10. Pretty easy, take 308.546875, divide by 10, and you get 30.8546875, which is 30 547/640 in^3 in fractions.
Answer:
Step-by-step explanation:
Given that a young person with no initial capital invests k dollars per year at an annual rate of return r. Assume that investments are made continuously and that the return is compounded continuously
a) Amount accumulated at time t
, where r = rate of interest and t = time lapsed
b) Here S = 1,000,000
So 49802.56 dollars to be invested to get 1 million after 40 years
c) k = 2000 per year
I 2000 will be for 40 years, II 2000 for 39 years, ..... Last 2000 for 0 years
i.e. final amount would be
![2000[(e^{40r} +(e^{39r} +....e^r] = 1000000\\500 = \frac{e^r(e^{40r}-1}{e^r-1}](https://tex.z-dn.net/?f=2000%5B%28e%5E%7B40r%7D%20%2B%28e%5E%7B39r%7D%20%2B....e%5Er%5D%20%3D%201000000%5C%5C500%20%3D%20%5Cfrac%7Be%5Er%28e%5E%7B40r%7D-1%7D%7Be%5Er-1%7D)
solving we get r = 9.6% approxy
A quotient is the number you get after divided. 15 divided by 3 is 5.
The sum is the number you get after adding two numbers. 33 plus 7 is 40.
Then subtract the quotient (5) from the sum (40) to get your answer.
40-5=35.
And ignore that person who answered rudely.
Answer:
x = -84, y = -58
Step-by-step explanation:
2x - 3y = 6 --- Equation 1
Equation 1×5: <em>10x</em> - 15y = 30 --- Equation 2
5x + 7y = -14 --- Equation 3
Equation 3×2: <em>10x</em> + 14y = -28 --- Equation 4
<u>I will eliminate 10x. </u>
Equation 4-2:
10x - 15y - 10x + 14y = 30-(-28)
-y = 30+28
= 58
y = -58
Substitute y =-58 into Equation 1.
2x - 3y = 6
2x - 3(-58) = 6
2x - (-174) = 6
2x + 174 = 6
Find 2x.
2x = 6-174
= -168
Find x.
x = -168 ÷ 2
x = -84
The ratio of the legs of this triangle are in the ratio 2: sqrt3:1 where the longest led = sqrt3.
so the shorter leg = 16 answer
