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4 years ago

A population of 120,000 grows 3% per year for 14 years

Mathematics

1 answer:

kobusy [5.1K]4 years ago

4 0

Answer:

181510

Step-by-step explanation:

120,000 x1.03∧14=181510.767

Round the answer down as you can't have 0.767 of a person.

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The graph shows two linear functions, f and g. Which formula BEST represents g(x)?

Softa [21]

Answer: C

g(x) = 1/2 f (x)

Step-by-step explanation:

3 0

3 years ago

Simplify the expression:<br> 2(3n+4)-2(2n+5)

inessss [21]

First use distributive property:
2(3n + 4) - 2(2n + 5)
6n + 8 - 4n - 10
Group like terms:
6n - 4n + 8 - 10
Add like terms:
2n - 2

4 0

3 years ago

Read 2 more answers

Ian tosses a bone up in the air for his dog, Spot. The height, h, in feet, that Spot is above the ground at the time t seconds a

kirill115 [55]

Answer:

12 feet per second.

Step-by-step explanation:

Please consider the complete question.

Ian tosses a bone up in the air for his dog, Spot. The height, h, in feet, that Spot is above the ground at the time t seconds after she jumps for the bone can be represented $h(t)=-16t^2+20t$ .

What is Spot's average rate of ascent, in feet per second, from the time she jumps into the air to the time she catches the bone at t=1/2?

We will use average rate of change formula to solve our given problem.

$\text{Average rate of change}=\frac{f(b)-f(a)}{b-a}$

$\text{Average rate of change}=\frac{h(\frac{1}{2})-h(0)}{\frac{1}{2}-0}$

$\text{Average rate of change}=\frac{-16\cdot(\frac{1}{2})^2+20\cdot \frac{1}{2}-(-16\cdot(0)^2+20\cdot (0))}{\frac{1}{2}-0}$

$\text{Average rate of change}=\frac{-16\cdot\frac{1}{4}+10-(0)}{\frac{1}{2}}$

$\text{Average rate of change}=\frac{-4+10}{\frac{1}{2}}$

$\text{Average rate of change}=\frac{6}{\frac{1}{2}}$

$\text{Average rate of change}=\frac{2\cdot 6}{1}$

$\text{Average rate of change}=12$

Therefore, Spot's average rate of ascent is 12 feet per second.

3 0

3 years ago

A company sells boxes of small blue pom-poms (b) for $42 and boxes of large orange pom-poms (p) for $52. They make batches of sm

Strike441 [17]

Answer:

b = 40 - p

42b + 52p = 350

Step-by-step explanation:

Given : No. of small blue pom-pom boxes = b

No. of large orange pom-poms = p

cost of 1 box of blue pom pom = $42

cost of one large orange pom-pom box = $52

Solution:

Since we are given that the company has only 40 boxes

⇒b+p=40

⇒b=40-p

Since cost of 1 box of blue pom pom = $42

So, cost of b box of blue pom pom = $42b

Since,cost of one large orange pom-pom box = $52

So,cost of p large orange pom-pom box = $52p

We are also given that the company plan to make $350

⇒42b+52p=350

Hence Option b is correct

b = 40 - p

42b + 52p = 350

4 0

3 years ago

Read 2 more answers

Estimate the product 5.25 × 8.89.

Anon25 [30]

Answer:

47.25

Step-by-step explanation:

8.89 is about 9.

So, we have 9(5.25)=9(5)+9(0.25)=45+2.25=47.25

3 0

2 years ago