Your bill at dinner is $25. Sales tax is 8.1% and you will tip 18%. What is your total.
1 answer:
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Answer:
d.
Step-by-step explanation:
The goal of course is to solve for x. Right now there are 2 of them, one on each side of the equals sign, and they are both in exponential positions. We have to get them out of that position. The way we do that is by taking the natural log of both sides. The power rule then says we can move the exponents down in front.
becomes, after following the power rule:
x ln(2) = (x + 1) ln(3). We will distribute on the right side to get
x ln(2) = x ln(3) + 1 ln(3). The goal is to solve for x, so we will get both of them on the same side:
x ln(2) - x ln(3) = ln(3). We can now factor out the common x on the left to get:
x(ln2 - ln3) = ln3. The rule that "undoes" that division is the quotient rule backwards. Before that was a subtraction problem it was a division, so we put it back that way and get:
. We can factor out the ln from the left to simplify a bit:
. Divide both sides by ln(2/3) to get the x all alone:
On your calculator, you will find that this is approximately -2.709
Answer:
12762.72 cubic meters
Step-by-step explanation:
The volume of a cylinder is denoted by the formula: , where r is the radius and h is the height.
Here, we see that the height h = 11.5 m. We also see that the diameter is 37.6 meters. Since diameter = 2 * radius, we can divide this number by 2 to get the radius: r = 37.6/2 = 18.8 meters.
Now substitute these values into the equation:
cubic meters
Hope this helps!
<u>Answer: </u>
The solution of for M = 10, N = -5P and P = -2 is 25
<u>Solution: </u>
From question, given that the value of M is 10 and N is -5p and P is -2
We have to evaluate the value of ,
By substituting the values of M and N, we get
Expanding :
Here 10 is the base value and 2 is the exponent value. So the base term 10 is multiplied by itself two times.
Similarly expanding :
Here -2 is the base term and 2 is the exponent value. So the base term -2 is multiplied by itself two times.
So the equation becomes,
By dividing 100 by 4 , we get the result as 25
Hence the solution of when M = 10 and P = -2 is 25