The equation which is equivalent to the equation as given in the task content is; 6x -8y = 36.
<h3>Which equation is equivalent to the equation as given in the task content?</h3>
According to the task content, it follows that the equation which is given in the task content is;
3x -4y = 18.
Hence, upon multiplication of the whole equation by 2; the resulting equation from the multiplication is;
6x -8y = 36
Ultimately, the equivalent equation is; 6x -8y = 36.
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Answer:
Horizontal, 0, y
Step-by-step explanation:
We have been given that Sarah invests her graduation money of $1,750 in an annuity that pays an interest rate of 6% compounded annually. We are asked to write an exponential function for her investment growth.
We will use compound interest formula to solve our given problem.
, where
A = Final amount after t years,
P = Principal amount,
r = Annual interest rate in decimal form,
n = Number of times interest is compounded per year,
t = Time in years.
Since interest is compounded annually, so 
.
Therefore, the function describes Sarah's investment growth.
Answer:
<em>The payment for driving 80 miles is $78</em>
Step-by-step explanation:
<u>Mathematical model
</u>
Mathematical models are used in disciplines like natural sciences and engineering, among many others.
The data provided in the question allows building a model for the charges of the car rental, knowing there are two fees:
A fixed charge of $50
A variable charge or $0.35 per mile driven.
<em>Part A</em>
Using m as the number of miles driven for the day, the model for the payment for the car rental is:
P(m)=50+0.35m
<em>Part B</em>
Find the payment if the car is driven m=80 miles:
P(80)=50+0.35*80
P(80)=50+28=78
The payment for driving 80 miles is $78
