6lbs divided by 4, x 16 = 24oz is your answer
Answer:
D. She used the beach's ball's diameter when she should have used the radius
Step-by-step explanation:
To find the volume of the beach ball, using the volume of a sphere is the right formula to use, which is ⁴/3πr³.
The formula she used is correct.
Since the diameter of the ball is assumed to be 12 inches, what is needed to find the volume is the radius.
Radius (r) = ½(diameter) = ½(12) = 6 in.
This is where Emily made a mistake.
She used the diameter of the beach ball instead of its radius (r) which is needed in the equation.
She should have gotten,
V = ⁴/3(3.14)(6)² = 904.32 cubic inches
Answer:
x = 10.8
Step-by-step explanation:
cos 26° = x/12
0.8988 = x/12
x = 10.785
Answer:
Step-by-step explanation:
Mrs. Siebenaller bought a bus for 25,000 with a 7% interest rate and she gets a loan payoff of 60 months,
We know that,
![\text{PV of annuity}=P\left[\dfrac{1-(1+r)^{-n}}{r}\right]](https://tex.z-dn.net/?f=%5Ctext%7BPV%20of%20annuity%7D%3DP%5Cleft%5B%5Cdfrac%7B1-%281%2Br%29%5E%7B-n%7D%7D%7Br%7D%5Cright%5D)
Where,
PV = Present value of annuity = 25000,
r = rate of interest of each period = 
% monthly
n = number of periods = 60 months,
Putting the values,
![\Rightarrow 25000=P\left[\dfrac{1-(1+\frac{0.07}{12})^{-60}}{\frac{0.07}{12}}\right]](https://tex.z-dn.net/?f=%5CRightarrow%2025000%3DP%5Cleft%5B%5Cdfrac%7B1-%281%2B%5Cfrac%7B0.07%7D%7B12%7D%29%5E%7B-60%7D%7D%7B%5Cfrac%7B0.07%7D%7B12%7D%7D%5Cright%5D)
![\Rightarrow P=\dfrac{25000}{\left[\dfrac{1-(1+\frac{0.07}{12})^{-60}}{\frac{0.07}{12}}\right]}](https://tex.z-dn.net/?f=%5CRightarrow%20P%3D%5Cdfrac%7B25000%7D%7B%5Cleft%5B%5Cdfrac%7B1-%281%2B%5Cfrac%7B0.07%7D%7B12%7D%29%5E%7B-60%7D%7D%7B%5Cfrac%7B0.07%7D%7B12%7D%7D%5Cright%5D%7D)
Hence total amount paid is,
Therefore interest amount is,
