180 + 60x = 2,000
180 is how much money she has already, 60 is how much she makes per week, x is the amount of weeks, and 2,000 is her goal.
Answer: When they work 10 hours each, they both make $300.
kelli y = 20x + 100
karl y = 25x + 50
substitution:
y = 20x + 100
25x + 50 = 20x + 100
-20x -50 -20x -50
--------------------------------
5x = <span>50
</span>5 5
x = 10
(Then plug into any equation)
y = 25x + 50
y = 25(10) + 50
y = 300
When they work 10 hours each, they both make $300.
3/4(1/2x + 4) + 1/2(x − 1)
First use distributive property to remove the parentheses:
3/8x + 3 + 1/2x -1/2
Now combine like terms:
7/8x + 2 1/2
Answer:
The statements that are true are:
- 1.575 was the coffee yield , in thousands of kilograms,before the honeybees were introduced.
- 1.16 represents the growth factor that reveals the rate at which the coffee yield increases.
- 2 is the number of times the coffee yield was compounded per year.
Step-by-step explanation:
We are given a function that models The coffee yield, in thousands of kilograms, t years after the introduction of the honeybees.
Also, the coffee yield increases according to a model where the exponential change is compounded semiannually .
The function is given by:

Here when t=0, i.e. before the honeybees were introduced we have:

Also, the rate of increase i.e. the growth rate is denoted by : 1.16
Also, 2 represents the number of times the coffee yield is compounded per year.
To answer this, you need to know the slope point formula:
y - y1 = m (x - x1)
In this case, (1, -4) represent y1 and x1. m is equal to the slope, which is -3.
y - (-4) = -3 (x - 1)
y + 4 = -3x + 3
y = -3x + 3
-4
y = -3x - 1
Answer: y = -3x -1