Answer:
The interest rate of the account is 
Step-by-step explanation:
we know that
The compound interest formula is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
substitute in the formula above and solve for r
![[(2,830.97/1,863)^{1/56}-1]=\frac{r}{4}](https://tex.z-dn.net/?f=%5B%282%2C830.97%2F1%2C863%29%5E%7B1%2F56%7D-1%5D%3D%5Cfrac%7Br%7D%7B4%7D)
![r=4*[(2,830.97/1,863)^{1/56}-1]\\ \\r= 0.03](https://tex.z-dn.net/?f=r%3D4%2A%5B%282%2C830.97%2F1%2C863%29%5E%7B1%2F56%7D-1%5D%5C%5C%20%5C%5Cr%3D%200.03)
Convert to percent
Answer:
a) The marginal cost function is given by
C'(x) = 4 + 0.04x + 0.0003x² (in dollars)
b) C'(70) = $8.27
Step-by-step explanation:
C(x) = 1000 + 4x + 0.02x² + 0.0001x³
a) Marginal cost is usually defined as the cost of producing one extra unit of product. It expresses how much the total cost is changing with respect to number of units of product.
Mathematically,
MC = (dC/dx) = C'(x)
For this question,
C'(x) = 4 + 0.04x + 0.0003x²
b) C'(70) means the marginal cost at x = 70 units, that is, how much the total cost is changing after the production of 70 units; the cost of producing one extra unit of product after producing 70 units.
C'(x) = 4 + 0.04x + 0.0003x²
C'(70) = 4 + 0.04(70) + 0.0003(70²)
C'(70) = $8.27
Hope this helps!
Answer:
1. 18.85in
4. 25.13m
Step-by-step explanation:
I got you
So to find the circumference of any circle we use the equation 2pi(r)
2(3.1415)(3)= 18.85in for the first one because radius is half of the diameter which is 6 so half of 6 is 3
For 4. 4m is actually the radius so just plug that into the equation 2pi(4)=25.13m
124.5 minutes = 2 hours and 7 minutes and 5 seconds
Answer:
3,080 in³
Step-by-step explanation:
To find the volume you use the formula
Length*Width*Height= Volume
So,
14*11*20 = 3080
and you unit will be cubed because volume is cubed!
