3pi+8(t-pi)-4t
=3pi+8t-8pi-4t
=-5pi+4t
Answer:
Step-by-step explanation:
Area of a circle = (3.14) (6)2
= 113.04
<h3>
Answer: 2</h3>
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Explanation:
x = number of years
y = height in feet
The equation for the first tree is
y = x+3
The slope is 1 to represent a rate of 1 ft per year of growth. The y intercept of 3 is the starting height. Refer to y = mx+b form.
For the second tree, the equation is:
y = 0.5x+4
This time we have a slope of 0.5 and a y intercept of 4.
Apply substitution to solve for x
y = x+3
0.5x+4 = x+3
0.5x-x = 3-4
-0.5x = -1
x = -1/(-0.5)
x = 2
The trees will be the same height in <u> 2 </u> years.
What will that height be? Plug x = 2 into either equation to find y. We should get the same y value.
y = x+3
y = 2+3
y = 5
Or we could say
y = 0.5x+4
y = 0.5*2+4
y = 1+4
y = 5
We've shown that both equations lead to y = 5 when x = 2. This means that at the 2 year mark, both trees are 5 feet tall. This helps confirm we have the correct x value.
<span>First, calculate the difference in the interest rates. 9.85% - 2.5% = 7.35%. One month's worth of interest is 1/12 of that yearly rate, so 7.35%/12 = 0.6125% monthly. Then multiply that by the $435. $435 * 0.6125% = $2.66
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
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Equation of a line is given by y = mx + c; where m is the slope.
5x + 2y = 9
2y = 9 - 5x
y = -5/2 x + 9/2
Therefore, slope = -5/2