Answer: $53,330
Step-by-step explanation:
This is an exponential function so to find the salary in 3 years, you need to use a future value formula such as :
= Amount * ( 1 + rate) ^ number of years
Amount = $51,000
Rate = 1.5%
Number of years = 3 years
Salary = 51,000 * ( 1 + 1.5%)³
= 53,329.59
= $53,330
Answer:
Total cost is $205328
Step-by-step explanation:
Given data:
cost C(q) = 0.1 q^3 - 0.5 q^2 + 500 q + 200
current units q = 4 ( 4000 units )
The current level of production is 4000 ( 4 )units, and manufacturer is planning to upgrade this to 4100 ( 4.1 ) units
C'(q) = 3 * 0.1 q^2 - 2 * 0.5 q + 500
C'(q) = 0.3 q2 - q + 500
C(4.1) - C(4) ≈ C’(4) x Δq
≈ C’(4) x 0.1
≈ ( 0.3 * 4^2 - 4 + 500 ) x 0.1
≈ ( 0.3 * 16 - 4 + 500 ) x 0.1
≈ 500.8 x 0.1 ≈ 50.08
total cost = 4100 x 50.08 = $205328
Since the function f(x) is written in the form y = mx + b, where m is the slope and b is the y-intercept, it currently has a y-intercept of b = 6. If this function is shifted downwards (vertically) by 12 units, its new y-intercept will be:
Answer:
third number = 4,
equation of y, y = 5x - 11
equation of n, n = 4x
equation of x, n + x + y =19
Step-by-step explanation:
so lets write evertything as a n equation. n + x + y =19. N is the first number, x is the second number, and y is the third number. We will write the equation for y as follows 5x - 11. N will be four times the second number, so 4x. If substitute the values for out equation for x we will find what x equals to. So (4x) + x + (5x - 11) = 19
10x = 30
x = 3.
Then you substiute the answer for x in the equation for y. This will get you 5(3) - 11
15 - 11
4 = third number
