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ElenaW [278]
2 years ago
7

Mr.Martinez rents a car for one day.The charge is $36 plus $0.18 per mile.Mr.Martinez has a budget $60.How many miles can he dri

ve
Mathematics
1 answer:
kondor19780726 [428]2 years ago
8 0
1... the wording is a little confusing.
Is the charge $0.18 per mile or is it actually $36.18 per mile?
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Find the value of $x$ that maximizes $$f(x) = \log (-20x + 12\sqrt{x}).$$ If there is no maximum value, write "NONE".
kakasveta [241]
The function is written as:
f(x) = log(-20x + 12√x)
To find the maximum value, differentiate the equation in terms of x, then equate it to zero. The solution is as follows.

The formula for differentiation would be:
d(log u)/dx = du/u ln(10)
Thus,
d/dx = (-20 + 6/√x)/(-20x + 12√x)(ln 10) = 0
-20 + 6/√x = 0
6/√x = 20
x = (6/20)² = 9/100

Thus,
f(x) =  log(-20(9/100)+ 12√(9/100)) = 0.2553

<em>The maximum value of the function is 0.2553.</em>
5 0
2 years ago
Christian is rewriting an expression of the form y = ax2 + bx + c in the form y = a(x – h)2 + k. Which of the following must be
Shkiper50 [21]

Answer:

The Value Remains the Same

Step-by-step explanation:

Trust

7 0
1 year ago
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Five minivans and three trucks are traveling on a 3.0 mile circular track and complete a full lap in 98.0, 108.0, 113.0, 108.0,
Alex

Answer:

The time-mean speed of the minivans is of 105.8 seconds.

Step-by-step explanation:

Mean of a data-set:

The mean of a data-set is the sum of all values in the data-set divided by the number of values.

Five minivans, times of: 98.0, 108.0, 113.0, 108.0, 102.0, in seconds.

Thus, the mean is:

M = \frac{98 + 108 + 113 + 108 + 102}{5} = 105.8

The time-mean speed of the minivans is of 105.8 seconds.

7 0
1 year ago
A new car is purchased for 20300 dollars. The value of the car depreciates at 9.5% per year. What will the value of the car be,
Iteru [2.4K]
The starting value is 20,300, and the value is decreasing by 9.5% each year.

Because it decreases by 9.5% each year based on the previous amount, we use an exponential decay model.

A decrease by 9.5% corresponds to multiplying by 91.5% each year.

We write . We plug in 11 years for t.

A(t)=23000(0.915)^{t}\\\\A(11)=23000(0.915)^{11}\\\\A(11)=7671.18

$7,671.18
6 0
2 years ago
The bank has accepted Harriet's application for a mortgage to buy a property worth $325,500. She has to make a down payment of 2
Free_Kalibri [48]
The answer is C because the difference of 325,500 times 20 Percent and 325500 is the loan amount
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2 years ago
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