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weeeeeb [17]
2 years ago
10

At the end of January 2003, the population of my town was 11,212. The population of my town increases by 322 every month. In wha

t month does the population of my town first exceed 15,000?
Mathematics
1 answer:
sashaice [31]2 years ago
5 0

In 11.76 months, the value of the population will be 15000.

We have given that,

At the end of January 2003, the population of my town was 11,212.

the population is increased by 322 every month

So at the end of the second-month population will be 11534.

suppose x represents the year and  y represent the population

The population increased by 322 every month

Therefore the value of m =322

(x_1,y_1)=(0,11212)

We have m=332

(x_2,y_2)=(x_2,15000)

We have to determine the value of the x_2

<h3>What is the slope point form of the line?</h3>

(y_2-y_1)=m(x_2-x_1)

322\left(x_2-0\right)=15000-11212

322\left(x_2-0\right)=3788

\frac{322\left(x_2-0\right)}{322}=\frac{3788}{322}

x_2=\frac{1894}{161}

x_2=11.76

Therefore in 11.76 months, the value of the population will be 15000.

To learn more about the population visit:

brainly.com/question/25630111

#SPJ1

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Kisachek [45]

Answer:

13,784

Step-by-step explanation:

3 0
3 years ago
The tee for the sixth hole on a golf course is 305 yards from the tee. On that hole, Marsha hooked her ball to the left, as sket
EleoNora [17]

Answer:

Correct answer is option D. 96.4 yd.

Step-by-step explanation:

Please refer to the attached figure for labeling of the given diagram.

ABC is a triangle with the following labeling:

A is the hole, B is the Tee and C is the point where the ball is.

Sides are labeled as:

a =255\ yd\\c = 305\ yd\\\angle B =17^\circ

To find:

Side b = ?

Solution:

Here, we have one angle and two sides . Third side of the triangle is to be found opposite to the given angle.

We can use cosine formula here to find the value of the unknown side.

cos B = \dfrac{a^{2}+c^{2}-b^{2}}{2ac}

Putting all the values:

cos 17 = \dfrac{255^{2}+305^{2}-b^{2}}{2\times 255\times 305}\\\Rightarrow 0.956 = \dfrac{65025+93025-b^{2}}{155550}\\\Rightarrow 148753.2= 158050-b^{2}\\\Rightarrow b^{2}= 158050-148753.2\\\Rightarrow b^{2}= 9296.795\\\Rightarrow b= 96.42\ yd

So, the distance between the Ball and hole is 96.42 yd

Correct answer is option D. 96.4 yd.

8 0
3 years ago
You can afford a $950 per month mortgage payment. You've found a 30 year loan at 7% interest. a) How big of a loan can you affor
Lubov Fominskaja [6]

Based on the amount to be paid per month, the size of the loan you can afford is $142,792.19.

The total amount you pay to the loan company is $342,000.

The interest on the money is $199,207.81.

<h3 /><h3>What is the size of the loan?</h3>

The size of the loan is the present value associated with that loan payment that you can afford:

950 = (7/12% x Present value) / ( 1 - (1 + 7/12%)⁻⁽³⁰ ˣ ¹²⁾

950 = (7/12% x Present value) / 0.8767

Present value = $142,792.19

The total amount of money paid is:

= Number of periods x Payment per period

= 30 years x 12 months per year x 950

= $342,000

The interest is:

= 342,000 - 142,792.19

= $199,207.81.

Find out more on interest payments on loans at brainly.com/question/13005100

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4 0
1 year ago
The measure of two supplementary angles, ls and lt, are in the ratio of 7:3. find the value of mls.
ioda

The value of measure of ls is 126 degrees.

It is given in the question that the measure of two supplementary angles, ls and lt, are in the ratio of 7:3.

We have to find the value of measure of ls.

Let the measure of two supplementary angles ls and lt be 7x and 3x respectively.

We know that, the sum of measure of  two supplementary angles is 180 degrees.

Hence, according to the data given in the question, we can write,

7x + 3x = 180 degrees

10x = 180

x = 180/10

x = 18 degrees

Hence,

mls = 7x = 7*18 = 126 degrees.

To learn more about supplementary angles, here:-

brainly.com/question/13045673

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4 0
1 year ago
What is the value of the function at x = - 2 a y= -2 b y = 0 c y= 2 d y= 3
Ahat [919]

Answer:

C

Step-by-step explanation:

To find the value of the function at x = - 2

Locate x = - 2 on the x- axis then go up vertically until the line is met.

The read the corresponding value of y from the y- axis

x = - 2 ⇒ y = 2 → C

6 0
3 years ago
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