Answer:
1520.5 in^2
Step-by-step explanation:
Surface area=2*pi*r^2+2*pi*r*h=2*pi*r*(r+h)=2*pi*11*22=1520.5 in^2
The amount he had to pay if he have to purchase a laptop today that is the same value as the one he saw in the ad is $ 390.24.
Given that:-
Price of the laptop after 1 year = $ 400.
Inflation rate = 2.5 %
We have to find the amount he had to pay if he have to purchase a laptop today that is the same value as the one he saw in the ad.
Let the price he had to pay be x.
Hence, we can write,
x + (x*(2.5)*1)/100 = 400
x(1 + 1/40) = 400
x(41/40) = 400
x = 400*40/41 = $ 16000/41 = $ 390.24.
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Remark
One of the things you need to do is learn to read phrase by phrase.
What is the quotient of a number and 7? That meas you have a number, x, and it is divided by 7. What you do that the answer you get is the quotient.
x/7 is what you know so for. Now the first part says you take 12 away from that.
x/7 - 12 is what you have after doing that.
The result you get is - 2
x/7 - 12 = - 2 Add 12 to both sides
x/7 - 12 + 12 = - 2 + 12
x/7 = 10 Now multiply by 7
x = 10 *7
x = 70 <<< Answer the number is 70
You want the (positive) distance when the height is 0, 0= -d^2 + 10d +5.
You would factor that out(You'd get radicals), and the final answer would be
<span>5±<span>30<span>−−</span>√</span></span><span>
You'd take the only positive one of the two, 5 + srt(30)
I hope I did that right :/</span>
If arctan 4/3 = the tangent of that angle will be 4/3 , opposite 4 over adjacent 3
Now, you only have to take the sin of that angle it's opposite 4 over hypotenuse 5.
You will get that the answer is 4/5
hope this helps