Step-by-step explanation:
tn=n(n+1)(2n+1)
t23=23(23+1)(2*23+1)
t23=36754
Answer:
He should make the hypotenuse 5 in
Step-by-step explanation:
the pythagorean heoreom states that a^2+b^2=c^2. c is the hypotenuse. You already have a and b, 3 and 4. Plug it in
3^2+4^2=c^2
9+16=c^2
25=c^2
square root each side to isolate
c=5
Answer:
Step-by-step explanation:
A) You are painting 5 faces, four sides and the bottom, of the pool because you are not painting the top of the pool.
B) You need 104 square meters to paint the pool.
Assuming the pool is a rectangular prism, use the surface area equation:
SA = wl + 2(hl) + 2(hw)
Note: Do not include times 2 for wl because we are only including the bottom of the pool.
l = 8 meters
w = 6 meters
h = 2 meters
SA = (6)(8) + 2((2)(8)) + 2((2)(6))
SA = 104 square meters
C) The paint with cost $624 total. $104 times 6 square meters equals $624
Answer:
$1600 invested in 9% fund
$700 invested in 4% fund
Step-by-step explanation:
Let
amount invested in 9% account be "x"
so
amount invested in 4% account would be "2300 - x"
The profit from the account would be the percentage (in decimal) multiplied with the amount invested in that account. So,
<u>Profit in 9% account:</u>
9% = 9/100 = 0.09
0.09 * x
0.09x
<u>Profit in 4% account:</u>
4% = 4/100 = 0.04
0.04(2300-x)
92 - 0.04x
Total profit = 0.09x + 92 - 0.04x
This is equal to 172. We equate this and find x:
Now,
2300 - x = 2300 - 1600 = 700
Hence,
$1600 invested in 9% fund
$700 invested in 4% fund
Answer:
Kenen spent $62.49
Step-by-step explanation:
7% of $58.40 is about $4.09
$58.40 + $4.09 = $62.49
Hope this helped:)