Answer:
$8.00 per shirt
Step-by-step explanation:
32 ÷ 4 = 8
Answer:
43.75
Step-by-step explanation:
3/4 is equal to .75
Hope this helps! Please mark me brainliest! Have a great day!
Answer:
4,5,6 are the three consecutive numbers. 16, 25 and 36 are their squares.
Step-by-step explanation:
Let the three consecutive numbers be x, (x+1), (x+2)
Now, the squares of these three numbers are ![x^{2} ,(x+1)^{2} ,(x+2)^{2}](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2C%28x%2B1%29%5E%7B2%7D%20%2C%28x%2B2%29%5E%7B2%7D)
Sum = 77
∴by the problem ,
![x^{2} +(x+1)^{2}+(x+2)^{2} = 77\\x^{2} +(x^{2} +2x+1)+(x^{2}+4x +4) = 77\\x^{2} +x^{2} +2x+1+x^{2} +4x +4 = 77\\3x^{2} +6x+5 = 77\\3x^{2} +6x = 77-5\\3x^{2} + 6x = 72\\3x^{2} +6x-72= 0\\](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B%28x%2B1%29%5E%7B2%7D%2B%28x%2B2%29%5E%7B2%7D%20%20%3D%2077%5C%5Cx%5E%7B2%7D%20%2B%28x%5E%7B2%7D%20%2B2x%2B1%29%2B%28x%5E%7B2%7D%2B4x%20%2B4%29%20%3D%2077%5C%5Cx%5E%7B2%7D%20%2Bx%5E%7B2%7D%20%2B2x%2B1%2Bx%5E%7B2%7D%20%2B4x%20%2B4%20%3D%2077%5C%5C3x%5E%7B2%7D%20%2B6x%2B5%20%3D%2077%5C%5C3x%5E%7B2%7D%20%2B6x%20%3D%2077-5%5C%5C3x%5E%7B2%7D%20%2B%206x%20%3D%2072%5C%5C3x%5E%7B2%7D%20%2B6x-72%3D%200%5C%5C)
{Taking 3 common }
![x^{2} +2x- 24 = 0\\](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B2x-%2024%20%3D%200%5C%5C)
{By factorization}
![x^{2} +2x- 24 =0\\ x^{2} +6x-4x-24=0\\x(x+6)-4(x+6)=0\\(x+6)(x-4)=0\\](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B2x-%2024%20%3D0%5C%5C%20x%5E%7B2%7D%20%2B6x-4x-24%3D0%5C%5Cx%28x%2B6%29-4%28x%2B6%29%3D0%5C%5C%28x%2B6%29%28x-4%29%3D0%5C%5C)
Therfore,
![x= -6,4\\](https://tex.z-dn.net/?f=x%3D%20-6%2C4%5C%5C)
<em>X can't be negetive </em>
∴ ![x =4\\x+1=5\\x+2=6](https://tex.z-dn.net/?f=x%20%3D4%5C%5Cx%2B1%3D5%5C%5Cx%2B2%3D6)
The squares of the three consecutive numbers are 16, 25, 36
The three consecutive numbers whose sum is 77 are 4, 5, 6
9514 1404 393
Answer:
- annually: 9.01 years
- monthly: 8.69 years
- daily: 8.67 years
- continuously: 8.66 years
Step-by-step explanation:
For interest compounded in discrete intervals, the formula is ...
A = P(1 +r/n)^(nt)
We want to find t for P=1 and A=2, so we have ...
2 = (1 +r/n)^(nt)
ln(2) = nt·ln(1+r/n)
t = ln(2)/(n·ln(1+r/n))
A table of values for r=0.08 is attached.
__
For continuous compounding, the formula is ...
A = Pe^(rt)
t = ln(A/P)/r = ln(2)/0.08 ≈ 8.66434 . . . . years
__
- annually: 9.01 years
- monthly: 8.69 years
- daily: 8.67 years
- continuously: 8.66 years
The height of flagpole = 32 m
<u>
Step-by-step explanation:</u>
Given :- A broken flagpole 7 m stick straight out of the ground and the distance between broken flagpole to the remaining part that touches the ground is 24 m
To find :- height of the flagpole
Solution :- Let the height of remaining part of flag pole be x
By pythagoras theorem
H² = P² + B²
(x)² = (7)² + (24)²
x² = 49 + 576
x² = 625
x = √625
x = 25
so, the height of remaining part of pole = 25 m
hence, the height of flagpole = 7 m + 25 m
= 32 m