Answer:

Step-by-step explanation:
The equation of a quadratic function in vertex form is given by:

Where (h,k) is the vertex.
It was given in the question that the vertex of the parabola is (-1,4).
When we substitute the vertex into the formula we get:

The parabola also passes through (4,19) hence it must satisfy its equation.



We divide both sides by 25 to get:

Hence the quadratic function is:

Answer:

Step-by-step explanation:
apply the inverse properties of logarithmic and exponential functions to simplify

all logs has base 'e'
Inverse property of log says that
, the value of ln e=1
we apply this property in our problem. ln has same base 'e' . ln and 'e' gets cancelled


Answer:17 dollars per hour per hour
Step-by-step explanation:
Hope this helps
Backing out the bonus, we get 2711 - 250 = 2461, which is 161 more than his last check
<span>So 161 / 2300 = 0.07, or 7%</span>
Malik earned $243.
When he bought the tires, he spent $90 ($45x2), and he sold them for $130 ($65x2). So his profit was $40 ($130-$90).
He bought three rims for $225 ($85x3) and sold them all for $378 ($126x3). His profit was $153 ($378-$225).
The headlight covers cost him $25 in total ($5x5). He sold them all and got $75 ($15x5). The profit was $50 ($75-$25).
The total amount of money made was $243 ($40+$153+$50).
:)