Answer:
exponential function, cool
Step-by-step explanation:
looks like f(x) = e ^x
So f(3) would be e^(3)
you can work this out on your calculator.
press [2ndf] [e^x]] [3] = 20
Best thing is draw a line up from x-axis to the curve, where it hits the curve you will have your answer
Answer:
1260.04
Step-by-step explanation:
The formula for compound interest is:
A = P(1+
where A is the final amount, P is the initial principal balance, r is the interest rate, n is the number of times interest applied per time period and t is the number of time periods elapsed. Since the deposit was compounded annually, just like the interest, we can omit the n in the equation.
Applying the formula to question:
800(1+
= 1260.04 (rounded off to nearest cent since it's money)
3bags x 5 pearls per bag=15 bags
15 / (4 friends+you)=5
15/5=3 pearls per friend.
Answer:3 pearls per person.
Answer:
the volume is V=12π
Step-by-step explanation:
using cylindrical coordinates
x= rsin θ
z= rcos θ
y=y
therefore
y+z=4 → y= 4-z = 4-r cos θ
also from x²+z²=4 → -2≤x≤2 , -2≤z≤2
therefore since y= 4-z → 6≤y≤2 → it does not overlap with the plane y=1
V=∫∫∫dV = ∫∫∫dxdydz = ∫∫∫rdθdrdy = ∫∫rdθdr [(y=4-r cos θ,y=1) ∫ dy] =
∫∫[(4-rcosθ) - 1]rdθdr = ∫∫(3-rcosθ) rdθdr = ∫dθ [r=2,r=0] ∫(3r-r²cosθ) dr
∫ (3/2* 2²- 2³/3 cosθ) dθ =[θ=2π, θ=0] ∫ (6-8/3 cosθ) dθ = 2π*6 - 8/3 sin0 = 12π
thus
V= 12π
to verify it, the volume should not be bigger than the volume if the cross section was a square and thus the volume enclosed would be:
V = [(2-(-2)]² * (6-2) /2 + [(2-(-2)]² * (2-1) = 4³/2 + 4²*2 = 64 > 12π
