Answer:
Step-by-step explanation:
f(x) = 5x - 9 and g(x) = x+9/5 are inverses of each other.
<u>________________</u>
the square root of a number is between 8 and 9. which of the following can be the value of that number
1 answer:
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Answer:
a; she will have $8812
b: It will be enough for her trip
Step-by-step explanation:
In this question, we are tasked with calculating how much a certain value in a savings account that is earning an interest that is compounded annually will be worth.
To calculate this, we use the compound interest formula;
A = P(
Where A is the amount after that number of years which of course we want to calculate
P is the principal amount which is the amount we are investing which is $6439 according to the question
r is the interest rate which is 4% = 4/100 = 0.04
t is the time which is 8 years
n is 1 which is the number of times interest will be compounded annually
We plug these values as follows;
A = 6439(1 + 0.04/1)^8
A = 6439(1.04)^8
A = $8,812.22
This amount is greater then the needed $8,500 for the trip and of course it will be enough
Answer:
A
Step-by-step explanation:
The base of a solid in the region enclosed by the graphs of <em>y</em> = eˣ, <em>y</em> = 0, <em>x </em>= 0, and <em>x</em> = 1. Each cross-section perpendicular to the <em>x</em>-axis is an equilateral triangle. We want to find the volume of the solid.
Please refer to the graph below. We are concerned with the red region.
In order to find the volume, we essentially sum up the area of the figure at each <em>x</em> value. So, we integrate from <em>x </em> = 0 to <em>x </em>= 1.
The area for an equilateral triangle is given by:
Where <em>s</em> is the side length of the triangle.
Since the triangle lies perpendicular on the region, the side length of the triangle at <em>x</em> is simply <em>y</em>, which is eˣ.
Therefore, our volume is:
Substitute:
Evaluate the integral. Simplify:
Integrate using u-substitution:
Evaluate:
Therefore, the volume of the solid is:
Our answer is A.
