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hammer [34]
3 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]3 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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Evaluate h-²g for h = 4 and g = 32.<br> 2<br> 1/2<br> 8
Hunter-Best [27]

Step-by-step explanation:

h2 - g

Putting values

(4)2 - 32

8 - 32

= - 24

3 0
3 years ago
Use proportion to find the answer.
prisoha [69]

<u>Answer</u>

\boxed {64}


<u>Detailed Explanation </u>

Let's set up a proportion.


\frac{3}{4.8} = \frac{40}{x}


Now that we have set up a proportion we would need to cross multiply.

3*x=3x

40*4.8= 192


Solve for x

3x=192


\frac{192}{3} = 64


Therefore, the answer would be 64.


5 0
3 years ago
Nicole has $20 to spend on dinner for herself. She wants to tip 20% on the amount of her meal. Which of the following are amount
Sophie [7]

Answer:

Total amount spent for meal = $16.65

Step-by-step explanation:

Given:

Amount spent on dinner = $20

Tip = 20%

Find:

Total amount spent for meal

Computation:

Total amount spent for meal = Amount spent on dinner / (1+tip)

Total amount spent for meal = 20 / 1.2

Total amount spent for meal = 16.666

Total amount spent for meal = $16.65

8 0
3 years ago
“Determine whether 3x+12+x is equivalent to 4(3+x). Use properties of operations to justify your answer” PLEASE HELP
Firdavs [7]

Answer:

It’s equivalent.

Step-by-step explanation:

Collect like terms: 4x+12 = 4(3+x)

Expand brackets: 4x+12 = 12+4x

Rearrange: 4x+12 = 4x+12

6 0
3 years ago
See pictures attached below. Will give Brainliest!
Phoenix [80]

Question 1 Answer:

Aunt 1 and Grandma 1 would fill gift bags.

Mom and Aunt 2 would make centerpieces.

You and Grandma 2 would blow up balloons.

Since you are pairing up to complete the tasks, these pairs each have the shortest times in their respective categories and therefore are the most logical pairing to complete tasks.

Question 2 Answer:

We use algebra and our previous pairings to determine the length of each task.

<u>Gifts Bags --> 6/7 hours</u>

x = time together

\frac{1}{x} = rate of completion

Aunt 1 = \frac{1}{1.5} Grandma 1 = \frac{1}{2}

\frac{2}{3} +\frac{1}{2} = \frac{1}{x}

\frac{7}{6} = \frac{1}{x}

x = \frac{6}{7}

<u>Centerpieces --> 7/4 hours</u>

x = time together    \frac{1}{x} = rate of completion

Mom = \frac{1}{3.5} Aunt 2 = \frac{1}{3.5}

\frac{2}{7} + \frac{2}{7}  = \frac{1}{x}

\frac{4}{7} = \frac{1}{x}

x = \frac{7}{4}

<u>Balloons --> 15/16 hours</u>

x = time together    \frac{1}{x} = rate of completion

You = \frac{1}{1.5} Grandma 2 = \frac{1}{2.5}

\frac{2}{3} + \frac{2}{5}  = \frac{1}{x}

\frac{16}{15} = \frac{1}{x}

x = \frac{15}{16}

Shortest amount of time to complete all tasks is:

\frac{6}{7} + \frac{7}{4} + \frac{15}{16} = \frac{397}{112}  ≈ 3.54 hours

Converting hours to hours and minutes --> 3 hours 32 minutes

Therefore they must arrive by 5:28pm to complete the tasks in time to leave at 9:00pm.

8 0
3 years ago
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