The output would depend on the input so relating this to the question, the input is the time (in minute) and the output is the amount of water left in the tank
We can give a letter 't' for the time, the input, and f(t) for the output
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The original amount of water in the tank is 10450, so this will be the fixed constant.
The amount of water lost per minute is 270 so this will be the term that varies depends on the variable of time, we write this as 270t
The function is given f(t) = 10450 - 270t
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Given, t = 10
f(10) = 10450 - 270(10)
f(10) = 7750 ml
I would say c. I’m not sure if I’m right if I’m not sorry but good luck
10. (5,8)(-3,7)
slope = (7 - 8) / (-3 - 5) = -1 / -8 = 1/8
11. (5,-2)(3,-2)...since both y values are the same, this line is a horizontal line with a 0 slope.
12. (-4,7)(8,-1)
slope = (-1 - 7) / (8 - (-4) = -8 / (8 + 4) = -8/12 = - 2/3
13. (6,-3)(6,4)....since both x values are the same, this line is a vertical line with a slope that is undefined
14. -2/5
Answer:
$74,748.11
Step-by-step explanation:
In order to make use of the amortization formula, we need to find the equivalent monthly interest rate.
When 12% interest is compounded continuously, the annual multiplier is ...
e^0.12 ≈ 1.127497
The equivalent multiplier when the interest is compounded monthly is the 12th root of this,
(e^0.12)^(1/12) = e^0.01 ≈ 1.0100502 = 1 + r
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The amortization formula tells us that monthly payment amount A will pay off principal P in n months:
P = A(1 -(1 +r)^-n)/r = $900(1 -1.0100502^-180)/0.0100502
P = $74,748.11
The customer can pay off a 12% loan of $74,748.11 at the rate of $900 per month for 15 years.
I imagine that not everyone that visited Becky’s Store spent a lot of time and money there. If she surveys only those that did, this is not a representative sample because she is leaving out other customers. She would have no one in her sample that represents customers who spent a lot of time but no money, or little time and no money or even little time and a lot of money. These are just some examples but clearly her sample is biased.
