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hammer [34]
2 years ago
8

The student population at Oak Mountain High School for a given year can be modeled by the function P(t)=550(1.12)^t , where t is

the number of years since 1995. How many students were there in 1995?
Mathematics
1 answer:
Anton [14]2 years ago
3 0

Answer:

There were 550 students in the school in the year 1995

Step-by-step explanation:

In this question, given the exponential equation, we are asked to calculate the number of students in a particular year.

The exponential equation expected to be used is given as;

P(t) = 550(1.12)^t

Now we are told that t is the number of years since 1995 and we are told to calculate the number of students in that same year 1995. Thus, the value of t would be 1995-1995 = 0

We substitute this value of t into the equation;

P(0) = 550(1.12)^0

Since anything raised to the power of zero is 1, then ;

P(0) = 550 * 1 = 550

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The triangular bases of a triangular prism have three congruent sides, each measuring 10 centimeters. The height of each of the
Elina [12.6K]
We know that

[surface area ]=2*[area of the base]+[perimeter of the base]*height
area of the base=10*8.7/2-----> 43.5 cm²
perimeter of the base=10*3----> 30 cm
height of the prism=15 cm
[surface area ]=2*[43.5]+[30]*15------->537 cm²

the answer is
<span>the approximate surface area of the prism is 537 cm</span>²
5 0
2 years ago
Read 2 more answers
Samantha trades through a broker. On December 12, Samantha purchased stock worth $2,500. Later in the day, she sold her stock in
Eddi Din [679]

Answer:

$20

Step-by-step explanation:

Broker's usually take a percentage of the money made or a fixed amount no matter how much is traded.

Here, the broker charges $10 per trade. So, it doesn't matter how much you do trade, the broker will charge $10 PER TRANSACTION.

Samantha bought stocks worth 2500 (1 transaction)

Samantha sold these again for 2750 (1 transaction).

So there were 2 trades made by Samantha.

So broker would charge $10 + $10 = $20

4 0
2 years ago
Find the area of the part of the sphere x2 + y2 + z2 = 100z that lies inside the paraboloid z = x2 + y2.
vekshin1
x^2+y^2+z^2=100z\iff x^2+y^2+(z-50)^2=50^2

The surface of interest can be parameterized by

\mathbf r(u,v)=\begin{cases}x(u,v)=50\cos u\sin v\\y(u,v)=50\sin u\sin v\\z(u,v)=50(\cos v+1)\end{cases}

with 0\le u\le2\pi and 0\le v\le\arccos\dfrac{49}{50}.

The area of the surface S is given by the surface integral

\displaystyle\iint_S\mathrm dA=\iint_T\left\|\mathbf r_u\times\mathbf r_v\right\|\,\mathrm du\,\mathrm dv

We have

\|\mathbf r_u\times\mathbf r_v\|=50^2\sin v

so the area is given by the double integral

\displaystyle50^2\int_{u=0}^{u=2\pi}\int_{v=0}^{v=\arccos(49/50)}\sin v\,\mathrm dv\,\mathrm du=100\pi
6 0
2 years ago
Consider the set A, of all integers from 1 to 10 inclusive (that means the 1 and the 10 are included in this set) Give a set B t
Mademuasel [1]

Answer:

C^{I} = {2, 4, 10}

Step-by-step explanation:

A set is a collection of objects called elements. These element are refered to as members of the set.

Set A contains all integers from 1 to 10 inclusive;

A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

A subset of a given set implies that every element of the subset are also elements of the given set. Set B is a subset of A;

B = {1, 3, 5, 6, 7, 8, 9}

Complement of a given set refers to elements not in the general set. Set C is the complement of B;

C^{I} = {2, 4, 10}

3 0
2 years ago
Annika sells 6 inch pies for $5.00 and 8 inch pies for $9.00 each. Last week she sold twice as many 6 inch pies as she did 8 inc
Alina [70]
The question is
Find the values of x and  y

Let
x---------> the number of 6-inch pies Annika sold 
y--------> the number of 8-inch pies Annika sold 

we know that
x=2y------> equation 1
5x+9y=133---> equation 2
substitute the equation 1 in equation 2

5*[2y]+9y=133
10y+9y=133
19y=133
y=7
x=2y-----> x=2*7-----> x=14

the answer is
the number of an 6-inch pies is 14
 the number of an 8-inch pie is 7
7 0
2 years ago
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