you run a business making birdhouses. you spend $600 to start your business, and it costs you $5.00 to make each birdhouse.
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Answer:
.
Step-by-step explanation:
If (α, β) are the coordinates of the center of the hyperbola, then its equation of the hyperbola is .
Now, the vertices of the hyperbola are given by (α ± a, β) ≡ (1,-3) and (-3,-3)
Hence, β = - 3 and α + a = 1 and α - a = -3
Now, solving those two equations of α and a we get,
2α = - 2, ⇒ α = -1 and
a = 1 - α = 2.
Now, eccentricity of the hyperbola is given by {Since
given}
Therefore, the equation of the given hyperbola will be
. (Answer)
The histogram for the data is given at the end of this answer.
<h3>What is an histogram?</h3>An histogram is a graph that shows the number of times each element of x was observed.
In this problem:
- The elements of x are given by the time in hours.
- The histogram shows the number of runners that finished the race in x hours.
Hence, the graph given at the end of this answer is the histogram.
You can learn more about histogram at brainly.com/question/2962546
To find how much Henry can expect to receive from Social Security on a monthly basis, we first need to find how much he cant expect to receive from social security per year.
We know form our problem that Henry averaged an annual salary of $45,620, so to find how much can Henry expect to receive from Social Security per year, we just need to find the 42% of $45,620.
To find the 42% of $45,620, we are going to convert 42% to a decimal by dividing it by 100%, and then we are going to multiply the resulting decimal by $45,620:
Social security annual payment = (0.42)($45,620) = $19,160.40
Since there are 12 month in a year, we just need to divided the social security annual payment by 12 to find how much he can expect to receive each month.
Social security monthly payment = = $1.596.70
We can conclude that Henry can expect to receive $1.596.70 monthly from Social Security.