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2 years ago

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A deer population is estimated to be 4,350. The growth rate of the population is given by the equation y=4350(1.07) . What is th

e percent rate of growth of the deer population?
43.5%

107%

7%

0.07%

Algebra 2

1 answer:

HACTEHA [7]2 years ago

8 0

Answer:

Step-by-step explanation:

Analyzing the growth rate of 1.07:

If the growth rate is a number greater than 1, we have exponential growth; if the growth rate is a number greater than 0 but less than 1, we have exponential decay.

Our growth rate is actually growth. But the rate of growth is not 107%. The rate of growth means that we already had 100% of the population and that it is growing by 7% each year. 100% + 7% = 107%; as a decimal, 1.07

So the rate of growth is 7%

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Your company has offices in 2 cities. The Denver office has 137 employees with an average salary of $67,013. The Anchorage offic

Charra [1.4K]

Alright, lets get started.

The Denver office has 137 employees with an average salary of $67,013.

So the total salay of all employees at Denver office will be = $137*67013$

So the total salay of all employees at Denver office will be = $ 9180781

The Anchorage office has 25 employees with an average salary of $71,332.

So the total salary of employees at Anchorage office will be = $25 * 71332$

So the total salary of employees at Anchorage office will be = $ 1783300

So, complete total salary of employees at both offices will be = $9180781+1783300$

So, complete total salary of employees at both offices will be = $ 10964081

Total number of employees at both offices are = $137 + 25 = 162$

So, the average salary of employee across the company = $\frac{10964081}{162}$

So, the average salary of employee across the company = 67679.5

Rounding off,

So, the average salary of employee across the company = $ 67680 : Answer

Hope it will help :)

7 0

2 years ago

Read 2 more answers

T= 300 (d−15) 2 +20space, T, equals, start fraction, left parenthesis, d, minus, 15, right parenthesis, start superscript, 2,

stealth61 [152]

As can be read from your statement written "T, equals, start fraction, left parenthesis, d, minus, 15, right parenthesis, strt superscript, 2, end superscript, divided by, 300, end fraction, plus, 20", I hope your model equation is this :

$T = \frac{(d-15)^{2}}{300} + 20$

Hope this is your question, if not I think you will, still be able to find an answer of your question based on this solution

As we have to find lowest average temperature, So for minimum of a function its derivative is equal to 0 there.

So lets find derivative of T function first

So first expand $(d-15)^{2}$ as (d-15)(d-15)

we will use FOIL to multiply these

so $(d-15)(d-15) = d^{2} -15d -15d +225$

$= d^{2} -30d +225$

so we have $T = \frac{d^{2} -30d +225}{300} +20$

Now we will derivate each term here,300 in denominator is constant so that will come as it in in denominator.

To derivate terms in $dx^{2} -30d +225$ we will use power rule formula:

$(x^{n} )'= nx^{n-1}$

so derivative of $(d^{2} )'= 2d^{2-1} = 2d^{1} = 2d$

Then derivative of d will be 1

so that of -30d will be -30

then derivate of constant -225 will be 0

so we will have derivative as $\frac{2d-30}{300}$ for the fraction part and then derivative of +20 is again 0 as its constant term

$T' = \frac{2d-30}{300}$

For minimum we will put this derivative =0

$0 = \frac{2d-30}{300}$

Now solve for d

times both sides by 300

$0 \times 300 = \frac{2d-30}{300} \times 300$

$0 = 2d-30$

$0 +30 = 2d -30 +30$

$30 = 2d$

$\frac{30}{2} = \frac{2d}{2}$

$15 = d$

So now we have to find value of lowest temperature.

For that simply plug 15 in d place in original T function equation

$T = \frac{(d-15)^{2}}{300} + 20$

$T = \frac{(15-15)^{2}}{300} + 20$

$T = 20$

So T = 20 °C is the lowest average temperature and the answer.

6 0

2 years ago

Read 2 more answers

An executive for a large national restaurant chain with multiple locations in each of 513 counties wants to personally sample th

ohaa [14]

Answer:

D. Obtain a cluster sample by randomly selecting 20 counties and visiting every restaurant within those counties.

Step-by-step explanation:

Since this executive wants to minimize cost and expenses he should use a cluster sample of 20 counties and using the selected counties as a representative of the whole. Cluster sampling is a good and useful way of doing market research. It is more economical than other sampling methods and as the executive cannot get information on the whole population, he would be able to get information from the clusters.

4 0

2 years ago

A sample of baseball games shows that the mean length of the games is 179.83 minutes. (The data is given in BaseballTimes if you

Dmitriy789 [7]

Answer: Yes, This sample provide evidence that the length of time for baseball games is more than 170 minutes.

Step-by-step explanation:

Since we have given that

Mean length of the games = 179.83

Standard error = 3.75

We need to find the value of P(X>170).

So, it becomes,

$z=\dfrac{X-\mu}{s}=\dfrac{179-170}{3.75}\\\\z=2.4$

Let $z_{crict}=1.64$

Since z is greater than z(critical value).

So,Yes, This sample provide evidence that the length of time for baseball games is more than 170 minutes.

5 0

2 years ago

Paula and Kawai shared $312 in the ratio of 6:7. How much money<br> did each person get?

Maslowich

Answer:

Paula get $\$144$ and Kawai get $\$168$ .

Step-by-step explanation:

Given: Paula and Kawai shared $\$312$ in the ratio of $6:7$ .

To find: How much money did each person get?

Solution:

We have,

Paula and Kawai shared $\$312$ in the ratio of $6:7$ .

So, let Paula get $\$6x$ and Kawai get $\$7x$ .

As per the question,

$6x+7x=312$

$\implies13x=312$

$\implies x=\frac{312}{13} =24$

Therefore, Paula get $6\times 24=\$144$ , and Kawai get $7\times 24=\$168$ .

Hence, Paula get $\$144$ and Kawai get $\$168$ .

6 0

2 years ago