Sue has $80. She spends 3/5 of the money on Monday. She spends the remaining money equally over the next 5 days. How much money
1 answer:
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Let x be the <span>heights of a maple tree and y be the height of the cherry tree.
We know:
</span>
<span>The new ratio is obtained like this:
</span>
.
From the above equation we get
.
then
Solving the above equation for y we get:
So
So the first tree is (400-160=240) more taller than cherry tree.
We know:
</span>
<span>The new ratio is obtained like this:
</span>
From the above equation we get
then
Solving the above equation for y we get:
So
So the first tree is (400-160=240) more taller than cherry tree.
Answer:
a. y-intercept = 23350 and x-intercept = 13
b.
c.
Step-by-step explanation:
Given
Solving (a): The x and y intercepts
The y intercept is the initial depreciation value
i.e. when x = 0
This value is the value of the car when it was initially purchased.
Hence, the y-intercept = 23350
The x intercept is the year it takes to finish depreciating
i.e. when y = 0
From the question, we understand that it takes 13 years for the car to totally get depreciated.
Hence, the x-intercept = 13
Solving (b): The slope
The slope (m) is the rate of depreciation per year
This is calculated by dividing the total depreciation by the duration.
So:
Because it is depreciation, it means the slope represents a deduction.
So,
Solving (c): The straight line equation
The general format of an equation is:
Where
In (a), we have that:
In (b), we have that:
Substitute these values in
<em>Hence, the depreciation equation is: </em><em></em>
The general term of an arithmetic sequence is,
Where , = nth term.
= First term
and d = common difference.
The given sequence is: 57, 66, 75, 84, 93, ...
Here = 57,
d = 66 - 57 = 9
We need to find the 250th term. So, n = 250.
Next step is to plug in these values in the above formula. Therefore,
= 57 + 249 * 9
= 57 + 2241
= 2298
Therefore, 250th of this sequence is 2298
Hope this helps you!