Answer:
C(t)=3000(1.002417)^12t+960t
if T=1 year then the saving will be : 4048.17
Step-by-step explanation:
3000 deposit amount, 2.9 compound monthly interest . save 80 dollars per month at home .
A=p(1+r)^t
A=3000(1+0.029/12)^12t
A=3000(1.002417)^12t dollars
for the amount saved at home=80*12t=960t dollars
C(t)=3000(1.002417)^12t+960t
if T=1 year then the saving will be :
C(t)=3000(1.002417)^12t+960t
=3088.17+960= 4048.17 dollars
Answer:
The length in centimeters is (24-x) centimeters
Step-by-step explanation:
Mathematically, we are told that the equation linking the length, width and perimeter is as follows;
2(length) + 2(width) = 48
But in this case, we are told that the width is x centimeters
2(length) + 2(x) = 48
2(length) = 48-2x
length = (48-2x)/2
length = 24 - x
Answer:
V = ∫∫∫rdrdθdz integrating from z = 2 to z = 4, r = 0 to √(16 - z²) and θ = 0 to 2π
Step-by-step explanation:
Since we have the radius of the sphere R = 4, we have R² = r² + z² where r = radius of cylinder in z-plane and z = height² of cylinder.
So, r = √(R² - z²)
r = √(4² - z²)
r = √(16 - z²)
Since the region is above the plane z = 2, we integrate z from z = 2 to z = R = 4
Our volume integral in cylindrical coordinates is thus
V = ∫∫∫rdrdθdz integrating from z = 2 to z = 4, r = 0 to √(16 - z²) and θ = 0 to 2π
Answer:
39
Step-by-step explanation:
4 × 8 = 39
Answer:
D=24
Step-by-step explanation:
y inversely as x
x=k/y
By cross multiplication
k=xy
k=12*6
k=72
finding y
72=3y
y=24