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BabaBlast [244]
3 years ago
13

the cost of renting at a lake is $80 per hour plus $16 for lifejackets. Write an equation in slope-intercept form that can be us

ed to calculate the total amount you would pay for using this sailboat. The equation that represents this situation is...
Mathematics
1 answer:
yan [13]3 years ago
7 0

y=80x+16 with x representing the amount of hours rented.

Slope-intercept form is:

y=mx+b

In this case, y represents the total cost. m represents the amount per hour, x represents the amount of time, and b represents the number you add.

You would plug in the information you have (m=80 as it is $80 per hour; b=16 as it is added to the final sum):

y=80x+16

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horrorfan [7]
For this case, the first thing we must do is define variables.
 m: number of times you cut the grass
 d: amount of dollars you earn.
 We now write the linear equation that models the problem:
 d = 12m
 The slope of the line is 12, which means that each time you cut the grass, you earn 12 dollars.
 Answer:
 
an equation for the number of dollars, d, you earn when you mow the lawn m times is:
 
d = 12m
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i'm supposed to find the distance around this shape and i got it marked wrong on a test but i'm not sure why!
frutty [35]
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8 0
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Determine the term life insurance amount per thousand on a 22-year-old female for a 5-year policy given that the face value of t
VLD [36.1K]

We need to determine the term life insurance amount per thousand on a 22-year-old female for a 5-year policy given that the face value of the policy is $600,000 and the annual premium is $1332.

Since we are supposed to find the term life insurance amount per thousand, therefore, we will use the following formula:

\text{Term life insurance amount}=\frac{\text{Annual premium}}{\text{Face value of insurance}}*1000

Upon substituting the values of annual premium and face value of insurance, we get:

\text{Term life insurance amount}=\frac{\text{1332}}{\text{600000}}*1000\\
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Therefore, the required life insurance amount is $2.22.

4 0
3 years ago
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If a stereo is sold for $59.99, and Karen pays $64.19 for it when she checks out, what is the sales tax in the area?
Stolb23 [73]

Subtract 59.99 from 64.19.

64.19 - 59.99 = 4.20

<u>The tax she paid was $4.20, so now we need to find the percentage.</u>

Divide 4.20 by 59.99.

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Multiply 0.07 by 100 to find the percentage.

0.07 × 100 = 7

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5 0
3 years ago
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What is the value of \dfrac{d}{dx}\left(\dfrac{2x+3}{3x^2-4}\right) dx d ​ ( 3x 2 −4 2x+3 ​ )start fraction, d, divided by, d, x
stellarik [79]

Answer:

4.

Step-by-step explanation:

We are asked to find the value of expression \frac{d}{dx}(\frac{2x+3}{3x^2-4}) at x=-1.

First of all, we will find the derivative of the given expression using "Quotient Rule of Derivatives" as shown below:

(\frac{f(x)}{g(x)})'=\frac{f'(x)\cdot g(x)-f(x)\cdot g'(x)}{(g(x))^2}

\frac{d}{dx}(\frac{2x+3}{3x^2-4})

\frac{\frac{d}{dx}(2x+3)*(3x^2-4)-(2x+3)*\frac{d}{dx}(3x^2-4)}{(3x^2-4)^2}

\frac{2*(3x^2-4)-(2x+3)*(6x)}{(3x^2-4)^2}

\frac{6x^2-8-12x^2-18x}{(3x^2-4)^2}

\frac{-6x^2-18x-8}{(3x^2-4)^2}

Therefore, our required derivative is \frac{-6x^2-18x-8}{(3x^2-4)^2}.

Now, we will substitute x=-1 in our derivative to find the required value as:

\frac{-6(-1)^2-18(-1)-8}{(3(-1)^2-4)^2}

\frac{-6(1)+18-8}{(3(1)-4)^2}

\frac{-6+18-8}{(3-4)^2}

\frac{4}{(-1)^2}

\frac{4}{1}

4

Therefore, the value of expression \frac{d}{dx}(\frac{2x+3}{3x^2-4}) at x=-1 is 4.

6 0
3 years ago
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