Answer:
$50.85.
Step-by-step explanation:
We have been given that Jessica's Furniture Store buys a couch at a wholesale price of$113.00. The markup rate at Jessica's Furniture Store is 45%. We are asked to find the markup for the couch.
To find the markup for the couch, we need to calculate 45% of $113.00.
Therefore, the markup for the couch would be $50.85.
Answer:
12
Step-by-step explanation:
Answer:
a) the radius of the balloon increases at a rate of 5.42 in/s
b) the surface area of the balloon increases at a rate of 3 in²/s
Step-by-step explanation:
a) since the volume of a sphere V is
V= 4/3*π*R³
where R= radius , then the rate of change of the volume is
V' = dV/dR= 4*π*R²
using the chain rule
dV/dt = dV/dR*dR/dt
thus
k = 4*π*R² * dR/dt
dR/dt = k/(4*π*R²)
replacing values
dR/dt = k/(4*π*R²) = (33 in³/s) /(4*π*(22 in)²] = 5.42 in/s
then the radius of the balloon increases at a rate of 5.42 in/s
b) since the surface area is
S=4*π*R²
then
S' = dS/dR= 8*π*R
and
dS/dt = dS/dR*dR/dt = 8*π*R * k/(4*π*R²) = 2*k/R
replacing values
dS/dt = 2*k/R = 2*(33 in³/s)/( 22 in) = 3 in²/s
then the surface area of the balloon increases at a rate of 3 in²/s
Answer:
{x:x is a real number}
Since any value can replace x to give an integer.
{x:x is a real number}
Answer:
0.7477
Step-by-step explanation:
The mean(X) = 25,000 hrs
Standard deviation (σ) = 1500 hrs
The probability that the light bulb lasts more than 24,000hrs is Pr (X˃24,000)
Using Z-scores, Z= (X- μ)/σ
For X = 24,000
Z = (24,000 – 25,000)/1500
Z = -1000/1500
Z = -0.667
From the normal distribution table, Z= 0.667 = 0.2477
Φ(Z) = 0.2477
Recall that if Z is negative,
Pr (X˃a) = 0.5 + Φ(Z)
Pr (X˃24,000) = 0.5 + 0.2477
= 0.7477