Answer:1
14713.11
Step-by-step explanation:
first 3: a=11000(1+0.039)^3 = 12337,85
7th year= 12337.85(1+0.045)^4=14713.11
This is a combination of the formula of several figures.
The first one is the bottom of the cylinder AKA a circle.
The second one is the cylinder - the bottom and the top.
The third one is a cone without a bottom.
The first one can be written like this: r^2*3.14 where r is the radius of the circle
The second one is written like this: 2*3.14*r*h where r is the radius, and h the height
The third one is written like this: l*r*3.14
After this you just have to input the values.
bottom cylinder Cone (Use calculator if possible)
(3^2*3.14)+(2*3.14*3*5)+(6*3*3.14)=
28.26 + 94.2 + 56.52 = 178.98 in^2
The correct answer is 178.98 in^2.
Youre welcome.
EXTRA:
If youre wondering how to find the different formulas, you can search for the full formula, then remove the parts you do not need, by matching them with the formula of the part you want to remove.
Example:
Cylinder:
SA = 2(pi<span> r</span><span> 2</span><span>) + (2 </span><span>pi </span><span>r)* h
</span>In this case, i didnt need the top and bottom, then i look for the formula of a circle.
Circle SA = pi r^2
Is this anywhere in the cylinder? Yes! The first part.
Then we are left with:
2 + (2 pi r)*h
But that 2 looks strangely placed, and with some reason, one quickly understands that it means "top AND bottom", but since we removed the circle surface, we have to remove that part too.
So the final result of the formula is:
2 pi r h
Answer:
m∠ABD = m∠CBE ⇒ by subtracting a common angle from the given angles
Step-by-step explanation:
∵ m∠ABE = m∠CBD
∵ m∠ABD = m∠ABD + m∠DBE
∵ m∠CBD = m∠CBE + m∠EBD
∵ ∠EBD is common angle between them
∴ m∠ABD = m∠CBE
1. Let <em>y</em> represent the amount of money earned, and <em>x</em> the number of cars they wash. Then
<em>y</em> = 5<em>x</em>
Why? Each car wash costs $5. So no car washes means no earnings; 1 car wash earns $5; 2 washes earn $10; 3 washes earn $15, and so on, so that <em>x</em> car washes generate $5<em>x</em>.
2. No matter how many cars they end up washing, they will have spent $75 to set up the operation, so you subtract 75 from the equation is part (1).
3. Taking into account the setup cost of $75, the profit they make is given by
<em>y</em> = 5<em>x</em> - 75
4. When <em>x</em> = 0, meaning no cars get washed, the profit is -$75, meaning the team loses $75.
5. Set the profit function equal to 0 and solve for <em>x</em> :
5<em>x</em> - 75 = 0
5<em>x</em> = 75
<em>x</em> = 75/5
<em>x</em> = 15
So the team has to wash at least 15 cars to break even.
