The discount is $165, and the final cost is $385.
Hope this helps!
The linear function that calculates the expected distance from the sun of the Voyager-2 spacecraft in x years after 1990 is given by:
y = 3.3x + 30.6.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
In this problem, we have that the distance increases 33 AU each 10 years, hence the slope is given by:
m = 33/10 = 3.3.
Hence:
y = 3.3x + b.
When x = 28, y = 123, hence we use it to find b as follows:
123 = 3.3(28) + b
b = 30.6.
Hence equation to calculate the expected distance from the sun of the Voyager-2 spacecraft in x years after 1990 is given by:
y = 3.3x + 30.6.
More can be learned about linear functions at brainly.com/question/24808124
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Answer:
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Step-by-step explanation:
Let the present worth = P
P(1+0.075)^8 = 1,00,000
⇒ 1.783478 P = 100000
⇒ P = 100000/1.783478
⇒ P = $56,070
To
determine the z in this proportional equation. We used first understand the
formula and equation by understanding the relationships between z, x and y then
we apply the values or numbers and undergo the process of finding the asked
unknown value.
<span><span>1.
</span>Since z is directly proportional to x and
inversely proportional with Y. we have the equation set as: Z = X / Y</span>
<span><span>2.
</span>Hence if the given values of X = 12, and Y = 23. Then apply the
values in the formula we have:</span>
<span><span>a.
</span>Z
= X / Y</span>
<span><span>b.
</span>Z
= 12 / 23</span>
<span><span>c.
</span>Z
= 0.522</span>
