Answer:
ABC & E are true statements about the graph
The tangent to
at the point (0, 5) has a slope equal to the derivative evaluated at
.

This tangent passes through the point (0, 5), so its equation is

The normal line passes through the same point, but is perpendicular to the tangent line, so its slope is the negative reciprocal of the slope of the tangent. So the equation for the normal line is

The students rented 4 small cars and 8 large cars.
Step-by-step explanation:
Given,
Number of people in small car = 4
Number of people in large car = 7
Total people in both type of cars = 72
Let,
x represent the number of small cars rented.
y represent the number of large cars rented.
According to given statement;
4x+7y=72 Eqn 1
y = 2x Eqn 2
Putting value of y from Eqn 2 in Eqn 1

Dividing both sides by 18

Putting x=4 in Eqn 2

The students rented 4 small cars and 8 large cars.
Keywords: linear equation, substitution method
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(I would recommend changing the wording a bit.)
At 11 am Lacy get's paid around 50 dollars for something such as work. The money sits in her purse until 1:15pm when she pays for something such as food.
Answer:
The principal is $4,150.
Step-by-step explanation:
We have to find the principal if the maturity value is $4,500 and the simple interest is $350.
<u>As we know that the formula for calculating the final amount or maturity amount is given by;</u>
Amount = Principal + Interest
Here, Simple interest = $350
Amount or Maturity value = $4,500
So, the Principal = Amount - Interest
Principal = $4,500 - $350
= $4,150
Hence, the principal if the maturity value is $4,500 and the simple interest is $350 is $4150.