Sixty-five campers arrive. Nine go home early. If 8 people sleep in 1 tent, how many tents will the campers need?

In a certain classroom ,12.5% of the students own at least one pet. If there are 32 students in the classroom,how many students

Y_Kistochka [10]

Answer:

28

Step-by-step explanation:

Given that 12.5% of students own at least 1 pet, then the percentage of students who do not own a pet is

100% - 12.5% = 87.5%

Calculate 87.5% of 32, that is

$\frac{87.5}{100}$ × 32

= 0.875 × 32 = 28 ← number of students who do not own a pet

8 0

2 years ago

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The director of marketing at a large company wants to determine if the amount of money spent on internet marketing is a good pre

____ [38]

The Answer would be 417 because 416.6 rounded is 417 and to get the answer you take the residual value and the profit into concideratio.

6 0

2 years ago

Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the

xenn [34]

Answer:

As per the given statement:

The region bounded by the given curves about the y-axis, $y = 13e^{-x^2}$ , y=0, x = 0 and x = 1

Using cylindrical shell method:

The volume of solid(V) is obtained by rotating about y-axis and the region under the curve y = f(x) from a to b is;

$V = \int_{a}^{b} 2\pi x f(x) dx$ where $0\leq a$

where x is the radius of the cylinder

f(x) is the height of the cylinder.

From the given figure:

radius = x

height(h) =f(x) =y= $13e^{-x^2}$

a = 0 and b = 1

So, the volume V generated by rotating the given region:

$V =2 \pi \int_{0}^{1} x ( 13e^{-x^2}) dx\\\\V=2\pi\left [ -\frac{13}{2}e^{-x^2} \right ]_{0}^{1}\\\\V=2\pi\left (-\frac{13}{2e}-\left(-\frac{13}{2}\right) \right )\\\\V=-\frac{13\pi }{e}+13\pi$

therefore, the volume of V generated by rotating the given region is $V=-\frac{13\pi }{e}+13\pi$

5 0

2 years ago

The APR of Vinny's savings account is 3.5%, but interest is compounded only once a year. What is the APY of Vinny's savings acco

Anastasy [175]

Annual Percentage Yield of Vinny's savings account is equal to 3.5% same as the Annual Percentage Rate since the interest rate is compounded only once a year. Compounding interest once a year is equal to interest rate per year.

4 0

2 years ago

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An office building rents for $40,000 the first year, then increases by 0.5% each year. Use summation notation to represent the t

Sholpan [36]

Given the initial rent is $40000, and the rent is increased by 0.5% each year, the rent in the third year will be given by:
FV=P(1+r)^n
FV=40000(1.05)^n
Thus the answer for the sum of payments for 3 years will be:
The summation is 1.05 raised to n years times $40000, where the years is from 0 to 3.

4 0

2 years ago

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