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mariarad [96]
3 years ago
14

Write an exponential function to model the following situation.

Mathematics
1 answer:
xxMikexx [17]3 years ago
4 0

Answer:

For 15 years - 110,000(1.04)^{15}

After 15 years - 110,000(1.04)^{x+15}

Step-by-step explanation:

We have that,

Initial population is 110,000 which grows by the rate 4% i.e. 0.04 for 15 years.

Since, the exponential growth is given by P(1+r)^{x},

where P is the initial population, r is the rate of interest and x is the number of years.

Thus, the required population is 110,000(1+0.04)^{15} i.e.  110,000(1.04)^{15}.

Moreover, after 15 years i.e. x+15 years, the population will be 110,000(1.04)^{x+15}.

Thus, the population after 15 years is 110,000(1.04)^{x+15}.

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Arie ran an equal number of miles each day for 12 days. He ran 60 miles in total.
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Answer:

5 miles/day

Step-by-step explanation:

This is a division problem.

(60 miles)/(12 days) = 5 miles/day

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3 years ago
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A brass ornament has a volume of 24cm^3.
dedylja [7]

For this case we have that by definition, the density is given by:

d = \frac {M} {V}

Where:

M: It is the mass

V: It is the volume

According to the data of the statement we have:

V = 24 \ cm ^ 3\\d = 8.7 \frac {g} {cm ^ 3}

So, the mass is given by:

M = d * V\\M = 24 \ cm ^ 3 * 8.7 \frac {g} {cm ^ 3}\\M = 208.8 \ g

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Answer:

208.8 \ g

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3 years ago
Kerrie uses the work shown below to determine 35% of 280.
lys-0071 [83]

For this case we must find 35% of 280.

Kerrie gets 10% and then 25%. So:

10% of 280:

280 ------------> 100%

x -----------------> 10%

Where "x" represents the amount given by 10% of 280.

x = \frac {10 * 280} {100}\\x = 28

Thus, 10% of 280 is 28.

Now, we find 25% of 280:

280 ------------> 100%

x -----------------> 25%

Where "x" represents the amount given by 25% of 280.

x = \frac {25 * 280} {100}\\x = 70

Thus, 25% of 280 is 70.

So we have that 35% of 280 is given by:

28 + 70 = 98

So, Kerrie's solution is correct.

Answer:

Option A

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Solve each equation <br> <img src="https://tex.z-dn.net/?f=%5Cfrac%7B3x-2%7D%7Bx%2B%204%7D%20%3D0%5C%5C%5C%5C%5C%5C%5Cfrac%7B2%7
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The expression (3x - 2)/(x + 4) = 0 has a value of x is 3/2. Amd the expression 2/(x + 4) = 0 has a value of x is ∞.

<h3>What is simplification?</h3>

Simplification is to make something easier to do or understand and to make something less complicated.

The expression is given below.

(3x - 2)/(x + 4) = 0

Then on simplifying, we have

3x - 2 = 0

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And

2/(x - 3) = 0

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More about the simplification link is given below.

brainly.com/question/12616840

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Gap sells jeans that cost $21.00 for a selling price of $29.95. The percent of markup based on cost is
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If Gap sells jeans that cost $21.00 for selling price of $29.95. The percent of markup based on cost is approximately 43%. The markup in price is exactly $8.95.
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