I = Prt
P = i / rt
P = 288 / (0.016 * 3)
P = 288 / 0.048
P = 6,000
answer
He should deposit $6,000
The variable "y" equals the square root of two and the negative square root of two.
The problem may be solved using the quadratic formula.
The answer would have to be 4 because 4 times 4 equals 16 and 16 times 4 would equal 64,
4 times itself 3 times equals 64
so the answer will be 4
Answer:
The correct option is C.
Step-by-step explanation:
The least common multiple (LCM) of any two numbers is the smallest number that they both divide evenly into.
The given terms are
and
.
The factored form of each term is
![n^3t^2=n\times n\times n\times t\times t](https://tex.z-dn.net/?f=n%5E3t%5E2%3Dn%5Ctimes%20n%5Ctimes%20n%5Ctimes%20t%5Ctimes%20t)
![nt^4=n\times t\times t\times t\times t](https://tex.z-dn.net/?f=nt%5E4%3Dn%5Ctimes%20t%5Ctimes%20t%5Ctimes%20t%5Ctimes%20t)
To find the LCM of given numbers, multiply all factors of both terms and common factors of both terms are multiplied once.
![LCM(n^3t^2,nt^4)=n\times n\times n\times t\times t\times t\times t](https://tex.z-dn.net/?f=LCM%28n%5E3t%5E2%2Cnt%5E4%29%3Dn%5Ctimes%20n%5Ctimes%20n%5Ctimes%20t%5Ctimes%20t%5Ctimes%20t%5Ctimes%20t)
![LCM(n^3t^2,nt^4)=n^3t^4](https://tex.z-dn.net/?f=LCM%28n%5E3t%5E2%2Cnt%5E4%29%3Dn%5E3t%5E4)
The LCM of given terms is
. Therefore the correct option is C.
A.) Since there are no restrictions as to the dimensions of the candle except that their volumes must equal 1 cubic foot and that each must be a cylinder, we have the freedom to decide the candles' dimensions.
I decided to have the candles equal in volume. So, 1 cubic foot divided by 8 gives us 0.125 cubic foot, 216 in cubic inches.
With each candle having a volume of 216 cubic inches, I assign a radius to each: 0.5 in, 1.0 in, 1.5 in, 2.0 in, 2.5 in, 3.0 in, 3.5 in, and 4.0 in. Then, using the formula of the volume of a cylinder, which is:
V=pi(r^2)(h)
we then solve the corresponding height per candle. Let us let the value of pi be 3.14.
Hence, we will have the following heights (expressed to the nearest hundredths) for each of the radius: for
r=2.5 in: h=11.01 in
r=3.0 in: h= 7.64 in
r=3.5 in: h= 5.62 in
r=4.0 in: h= 4.30 in
r=4.5 in: h= 3.40 in
r=5.0 in: h= 2.75 in
r=5.5 in: h= 2.27 in
r=6.0 in: h= 1.91 in
b. each candle should sell for $15.00 each
($20+$100)/8=$15.00
c. yes, because the candles are priced according to the volume of wax used to make them, which in this case, is just the same for all sizes