loan of $2,500 at 12% simple interest for 3 years is = least interest amount
loan of $2000 at 12% for 9 years is = Greatest interest amount
Problem 1 (on the left)
It appears we have an exponential function curve through the points (0,4) and (1,7)
The general exponential function is of the form
y = a*b^x
The value of 'a' is the y intercept or initial value. So a = 4
Plug in (x,y) = (1,7) to help solve for b
y = a*b^x
y = 4*b^x
7 = 4*b^1
7 = 4b
b = 7/4 = 1.75
Therefore, the function is y = 4*(1.75)^x
- Plug in x = 0 and you should get y = 4.
- Plug in x = 1 and you should get y = 7
These two facts help confirm we have the correct exponential equation.
<h3>Answer: y = 4*(1.75)^x</h3>
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Problem 2 (on the right)
The steps will follow the same idea as the previous question.
The exponential curve goes through (-1, 120) and (0,40)
We have a = 40 this time due to the y intercept (0,40)
Plug in the coordinates of the other point to find b
y = a*b^x
y = 40*b^x
120 = 40*b^(-1)
120 = 40/b
120b = 40
b = 40/120
b = 1/3
<h3>Answer: y = 40*(1/3)^x</h3>
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Answer:
y = -1/4x - 3/4
Step-by-step explanation:
First, you need to change the equation into slope intercept form. Subtract 4x from both sides to get -y= -4x + 2. Divide all parts by -1 to get y=4x-2. One thing you should know when finding the slope of a perpendicular line is that the slope is the opposite reciprocal. So, the slope is -1/4. This is your current equation: y= -1/4x + b. Plug the coordinate into the equation; it should look like this: -2= -1/4(5) + b. Multiply -1/4 by 5 to get -5/4. This is what you should have now: -2 = -5/4 + b. Add 5/4 to both sides to get -3/4 = b. Go back to your other equation and plug in -3/4 to b. This is your final equation: y = -1/4x - 3/4. Hope this helped!
D = rt; r = t/d; t = d/r
t = d/r
t = 280/70
<span>t = 4 hours</span>
