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juin [17]
2 years ago
10

Translate into algebraic equation - a number plus 15 exceeds twice that number by 3​

Mathematics
1 answer:
bija089 [108]2 years ago
3 0

Answer:

n + 15 > (2n)/3

hope this helps! <3

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Suppose a population is growing by 8% each year. How many years will it take the population to double?
Doss [256]

ANSWER

\text{9 years}

EXPLANATION

We want to find the number of years that it will take the population to double.

To do this, we have to apply the exponential growth function:

y=a(1+r)^t

where y = final value

a = initial value

r = rate of growth

t = time (in years)

For the population to double, it means that the final value must be 2 times the initial value:

y=2a

Substitute the given values into the function above:

\begin{gathered} 2a=a(1+\frac{8}{100})^t \\ \frac{2a}{a}=(1+0.08)^t=1.08^t \\ 2=1.08^t \end{gathered}

To solve further, convert the function from an exponential function to a logarithmic function as follows:

\log _{1.08}2=t

Solve for t:

\begin{gathered} \frac{\log _{10}2}{\log _{10}1.08}=t \\ \Rightarrow t=9\text{ years} \end{gathered}

It will take 9 years for the population to double.

4 0
11 months ago
Jean needs 1/3 cup of wulnuts for each serving of salad she makes.she has 2 cups of walnuts how many servings can she make
valentina_108 [34]
She can make 6 servings
5 0
2 years ago
The function h is given by h ( t ) = ( 1 − t ) ( 8 + 16 t ) models the height of a ball in feet, t seconds after it is thrown.
Elena-2011 [213]

9514 1404 393

Answer:

  • zeros: t = 1, t = -1/2
  • no: the domain of the function is t ≥ 0
  • 8 feet

Step-by-step explanation:

The zeros are the values of t that make the factors zero.

  1 -t = 0   ⇒   t = 1

  8 +16t = 0   ⇒   t = -8/16 = -1/2

The equation is used to model height after the ball is thrown. We don't expect it to be a good model before the ball is thrown (t < 0), so the zero in that region is extraneous.

Only the positive zero is in the function's domain, so that is the only one that is meaningful.

__

When t = 0 (at the time the ball is thrown), the function value is ...

  h(0) = (1 -0)(8 +0) = 8

The ball is thrown from a height of 8 feet.

7 0
3 years ago
What the area of the irregular polygon 4 units,2 units,9 units.4 units
Vlada [557]
Hey, I'll be happy to assist you, but I need a picture or diagram with the measurements of the polygon and the poly itself :)
6 0
2 years ago
There are 4 teams in a soccer tournament. Each team plays each of the other teams exactly once. In each match, the winner receiv
Liula [17]

Answer:

8 points

Step-by-step explanation:

Given that there are 4 teams and Each team plays each of the other teams exactly once, then each team plays 3 matches. The possible points after 3 matches are:

0: 3 lost

1: 2 lost, 1 tied

2: 2 tied, 1 lost

3: 3 tied

4: 1 won, 1 lost, 1 tied

5: 1 won, 2 tied

6: 2 won, 1 lost

7: 2 won, 1 tied

9: 3 won

3 0
3 years ago
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