Two mechanics worked on a car. the first mechanic worked for 10 hours, and the second worked for 15 hours. together they charged a total of 1800. what was the rate charged per hour by each mechanic if the sum of the two rates was $155 per hour ?

Answers

Answer 1

This can be solved by setting up a systems of equations. Let x be the hourly rate for the first mechanic and y be the hourly rate of the second.

Total money earned:
[tex]10x + 15y = 1800[/tex]
Sum of hourly rates:
[tex]x + y = 155[/tex]
To solve this, you solve for one equation first, substitute it in the second, then input it back into the first equation. I will first be solving for x.

[tex]x + y = 155 \\ x = 155 - y[/tex]
Input this into the other equation to find y:
[tex]10(155 - y) + 15y = 1800 \\ 1550 - 10y + 15y = 1800 \\ 5y = 250 \\ y = 50[/tex]
Input y into the first equation:
[tex]x + 50 = 155 \\ x = 105[/tex]

The first mechanic charges $105 per hour and the second mechanic charges $50 per hour.

Answer 2

The rates charged per hour by the first and second mechanics will be $105 and $50.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that two mechanics worked on a car, the first mechanic worked for 10 hours, and the second worked for 15 hours. together they charged a total of 1800.

Suppose x is the hourly rate for the first mechanic and y is the hourly rate of the second.

If the total money earned is 1800.

10x + 15 y = 1800 ---- (1)

If both have their individual rates the sum of the hourly rate is,

x+ y = 15 -------- (2)

Rearrange the equation,

x = 155- y

Substitute the value of x in equation 1 we get,

10x + 15 y = 1800

10(155-y) + 15y = 1800

1150 - 10y + 15y = 1800

5y = 250

y = 50

Substitute the value of y in equation 2 we get,

x = 155- y

x= 155 - 50

x = 105

Thus, the rates charged per hour by the first and second mechanics will be $105 and $50.

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Related Questions

Solve for x: 12(x-7)+3(2x+2)=50x-62

Answers

X= -1/2

Hope this helps

x = -1/2

This is because
12 (-1/2 - 7) + 3 (2 x -1/2 + 2) = 50x - 62
12 x -7.5 + 3 x 1 = -25 - 62
-87 = -87

Simplify 2y (3-x) + 7 (x-2y)

Answers

Hi there!
Let's simplify step by step.

[tex]2y(3 - x) + 7(x - 2y) = [/tex]
First we work out the parenthesis (for instance possible by using rainbow technique).

[tex] 2y \times 3 + 2y \times - x + 7 \times x + 7 \times - 2y = \\ 6y - 2xy + 7x - 14y = [/tex]
Finally we collect the common terms.

[tex] - 2xy + 7x - 8y[/tex]
~ Hope this helps you!

The first step for solving this expression is to distribute 2y through the first parenthesis.
6y - 2xy + 7(x - 2y)
Now distribute 7 through the second set of parenthesis.
6y - 2xy + 7x - 14y
Lastly,, collect the like terms with y.
-8y - 2xy + 7x
Since we cannot simplify any further,, -8y - 2xy + 7x is the correct answer to your question.
Let me know if you have any further questions.
:)

A certain website averages 4.9 hours of downtime per month with a standard deviation of 0.5 hours. In April, it had 3.5 hours of downtime. What z-score does the 4.5 correspond to?

Answers

The z-score of an observation is a convenient way to compare different distributions to each other. The z-score is defined mathematically as [tex] \frac{x-m}{s} [/tex] where m is the mean and s is the standard deviation. Intuitively, this means that we account for how far off the center of the distribution this observation is, while simultaneously taking into account the spread of the distribution. Substituting x=3.5, m=4.9 and s=0.5, we get that z=-2.8. Negative z-scores imply observations below the mean.

) a pair of fair dice is rolled. what is the probability that the sum of the top faces is a number 10 or greater?

Answers

possible number combinations are 1,1 2,1 3,1 4,1 5,1 6,1 1,2 2,2 3,2 4,2 5,2 6,2 1,3 2,3 3,3 4,3 5,3 6,3 1,4 2,4 3,4 4,4 5,4 6,4 1,5 2,5 3,5 4,5 5,5 6,5 1,6 2,6 3,6 4,6 5,6 and 6,6. of those 36 number combinations the ones that add up to more than 10 include: 4,6 5,5 5,6 6,4 6,5 6,6. thats 6 number combinations. 6/36 of the possible sums of the top faces equal out to 10 or more. 6/36=1/6=0.166666666666666666666666(repeating) and to put that in a percentage, 16.7%
the probability is 16.7%
Hope this helps.

The equation of the line through ab *write your answer in slope-intercept form

Answers

Sounds as tho' you have a line going thru two points, A and B, but you have not shared those points. Please do so.

But we can assume that A:(a,b) and B:(c,d), find the slope and then write the equation of the line thru points A and B:

d - b
m = -----------
c - a
d - b
then the equation of the line is y-d = ----------- (x-c)
c - a

Please ensure that you are sharing all of the info given (e. g., the coordinates of the points A and B).

two angles are drawn below. the measure of angle x is 90

a. 20
b. 60
c. 100
d. 120

Answers

Since x = 90, y is smaller, so any thing smaller is correct , if there were more than one smaller angle , just estimate.

So the answer is B) 60

Your answer is a and b
Beacuse that that is an acute angle and acute is less then 90

GIVING AWAY 50 POINTS TO WHOEVER SHOWS LEGIT WORK!
The lengths of the sides of three squares are s, s + 1, and s + 2. If their total area is 365 cm squared (^2), find their total perimeter.

Answers

S= one length of square 1
S+1 = one length square 2
S+2= one length square 3

Our equation would be
S^2+(S+1)^2+(S+2)^2=365

Idk if it would be called distribute but.. distribute
S^2+S^2+2S+1+S^2+4S+4=365

Add like terms
3S^2+6S-360=0

Divide everything. By 3
S^2+2S-120=0

Factor
(S-10)(S+12)=0

The two solutions are:

S-10=0
S=10

S+12=0
S=-12

Since a length can’t be a negative the only possible solution would be 10

Since a perimeter is all lengths added together we can multiply the length by four to get the perimeter

Square 1
10*4=40
Perimeter is 40cm

Square 2
S+1 =11
11*4=44
Perimeter is 44cm

Square 3
S+2=12
12*4=48
Perimeter is 48cm

Add all the perimeters together to get the total perimeter:

Total perimeter:
40+44+48=132

The total perimeter is 132cm

I hope this helps. Sorry if I messed up anything on here it was kinda hard to keep track of everything. Feel free to ask if you need anything cleared up :)

1. In an auditorium, there are 21 seats in the first row and 26 seats in the second row. The number of seats in a row continues to increase by 5 with each additional row.

(a) Write an iterative (explicit) rule to model the sequence formed by the number of seats in each row. Show your work.

(b) Use the rule to determine how many seats are in row 15. Show your work.

2. Rhonda started a business. Her business made $40,000 in profits the first year. Her annual profits have increased by an average of 6% each year since then.

(a) Write an iterative rule to model the sequence formed by the profits of Rhonda’s business each year.

(b) Use the rule to determine what the annual profits of Rhonda’s business can be predicted to be 20 years from the start of her business. Round your answer to the nearest dollar. Do not round until the end. Show your work.

3. The sequence 3, 12, 48, 192, … shows the number of pushups Kendall did each week, starting with her first week of exercising.

(a) What is the recursive rule for the sequence?

(b) What is the iterative rule for the sequence?

Answers

1. Let [tex]s_n[/tex] be the number of seats in the [tex]n[/tex]-th row. The number seats in the [tex]n[/tex]-th row relative to the number of seats in the [tex](n-1)[/tex]-th row is given by the recursive rule

[tex]s_n=s_{n-1}+5[/tex]

Since [tex]s_1=21[/tex], we have

[tex]s_2=s_1+5[/tex]
[tex]s_3=s_2+5=s_1+2\cdot5[/tex]
[tex]s_4=s_3+5=s_1+3\cdot5[/tex]
[tex]\cdots[/tex]
[tex]s_n=s_{n-1}+5=\cdots=s_1+(n-1)\cdot5[/tex]

So the explicit rule for the sequence [tex]s_n[/tex] is

[tex]s_n=21+5(n-1)\implies s_n=5n+16[/tex]

In the 15th row, the number of seats is

[tex]s_{15}=5(15)+16=91[/tex]

2. Let [tex]p_n[/tex] be the amount of profit in the [tex]n[/tex]-th year. If the profits increase by 6% each year, we would have

[tex]p_2=p_1+0.06p_1=1.06p_1[/tex]
[tex]p_3=1.06p_2=1.06^2p_1[/tex]
[tex]p_4=1.06p_3=1.06^3p_1[/tex]
[tex]\cdots[/tex]
[tex]p_n=1.06p_{n-1}=\cdots=1.06^{n-1}p_1[/tex]

with [tex]p_1=40,000[/tex].

The second part of the question is somewhat vague - are we supposed to find the profits in the 20th year alone? the total profits in the first 20 years? I'll assume the first case, in which we would have a profit of

[tex]p_{20}=1.06^{19}\cdot40,000\approx121,024[/tex]

3. Now let [tex]p_n[/tex] denote the number of pushups done in the [tex]n[/tex]-th week. Since [tex]3\cdot4=12[/tex], [tex]12\cdot4=48[/tex], and [tex]48\cdot4=192[/tex], it looks like we can expect the number of pushups to quadruple per week. So,

[tex]p_n=4p_{n-1}[/tex]

starting with [tex]p_1=3[/tex].

We can apply the same reason as in (2) to find the explicit rule for the sequence, which you'd find to be

[tex]p_n=4^{n-1}p_1\implies p_n=4^{n-1}\cdot3[/tex]

Answer:

i will look but i think she was right

Step-by-step explanation:

Bricklayers use the formula N = 7LH to estimate the number of bricks N needed to build a wall of height H and length L. What is the height of a wall that is 30 feet long and that requires 2,310 bricks to build? a. 12 ft c. 11 ft b. 10 ft d. 20 ft

Answers

plug in 30ft for L and 2310 for n so you will get 2310=7(30)(h)... h would equal 11ft

What is the maximum volume of a square pyramid that can fit inside a cube with a side length of 18 cm?

a. 5,832 cm
b. 2,916 cm
c. 1,944 cm
d. 972 cm

Find the volume of the cylinder in terms of Pie. The diagrams are not drawn to scale.

a. 52.8 m
b. 58.08 m
c.127.78 m
d. 29.04 m

Answers

Part 1) What is the maximum volume of a square pyramid that can fit inside a cube with a side length of 18 cm?

we know that
[volume of a square pyramid]=(1/3)*b²*h
where
b is the length side of the square base-----> 18 cm (is equal to the length side of cube)
h is the height---------> 18 cm (is equal to the length side of cube)
[volume of a square pyramid]=(1/3)*18²*18----> 1944 cm³

the answer Part 1) is
c. 1,944 cm³

Part 2) Find the volume of the cylinder in terms of Pie. The diagrams are not drawn to scale.

volume of a cylinder=pi*r²*h
for r=2.2 m
h=12 m
volume of a cylinder=pi*2.2²*12-----> volume=58.08*pi m³

the answer Part 2) is
58.08*pi m³

Use a coordinate grid to create a map of a town with at least five different locations, such as a house, a post office, a school, a library, and a mall. Each location must be plotted where two grid lines cross. In addition, no two locations can lie on the same vertical grid line or the same horizontal grid line.

A. Post your diagram.
B. Use the Pythagorean theorem to find the distance between two of your locations.

Answers

see attached picture:

Solve the problem. 13) from the edge of a 1000-foot cliff, the angles of depression to two cars in the valley below are 21° and 28°. how far apart are the cars? round your answers to the nearest 0.1 ft.

Answers

the cars would be 724.4 feet apart!!

Final answer:

The problem is about finding the distance between the cars using the angles of depression and the height of the cliff. Calculate individual horizontal distances first and then find their difference which gives us the distance between the cars.

Explanation:

This problem can be solved using trigonometry. We've a 1000-foot cliff and a valley below where the two cars are located. From the edge of the cliff, if we draw two lines of sight to the cars, we can get two right triangles. The angles of depression to the cars are 21° and 28°, which are the angles between these lines of sight and a horizontal line.

We can use the tangent of these angles, which is the ratio of the opposite side (the vertical distance from the cliff to the cars) and the adjacent side (the horizontal distance from the cliff baseline to the cars). We know the vertical distance - it's 1000 ft (height of the cliff). So, we can calculate the horizontal distances (D1 and D2) to the cars as D1 = 1000/tan(21°) and D2 = 1000/tan(28°) respectively.

The difference between D1 and D2 will give the distance between the cars.

The calculations might give the distance in decimals, and the problem asks to round the answer to the nearest 0.1 ft.

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A lucky integer is a positive integer which is divisible by the sum of its digits. what is the least positive multiple of 9 that is not a lucky integer?

Answers

99.

It is not divisible by 18. Before that they are all added up to 9.

A group consists of 6 men and 5 women. three people are selected to attend a conference. in how many ways can 3 people be selected from this group of 11? in how many ways can 3 men be selected from the 6 men? find the probability that the selected group will consist of all men.

Answers

Men = 6
Women = 5
Total number = 6+5 = 11

First question:
This is a question of combination.
Total number of selecting 3 people from the group = 11C3 = 11!/[3!(11-3)!]= 165 ways

Second question:
This is question of combination where only men are considered.
Total number of collecting 3 men from 6 men = 6C3 = 6!/[3!*(6-3)!]= 20 ways

Third question:
The probability that the 3 people selected will all be men is given by:
1st selection: 6/11
2nd selection: 5/10
3rd selection: 4/9
The probability = 6/11*5/10*4/9 = 4/33

[tex] \displaystyle
\binom{11}{3}=\dfrac{11!}{3!8!}=\dfrac{9\cdot10\cdot11}{2\cdot3}=165 [/tex]

[tex] \displaystyle\binom{6}{3}=\dfrac{6!}{3!3!}=\dfrac{4\cdot5\cdot6}{2\cdot3}=20 [/tex]

[tex] |\Omega|=165\\
|A|=20\\\\
P(A)=\dfrac{20}{165}=\dfrac{4}{33}\approx12\% [/tex]

WILL GIVE BRAINLIEST... HELP ASAP!!!!!!

1. Circle A with center at (3, 4) and radius 2 is similar to circle B with center at (−4, −5) and radius 3. Below is an incorrect informal argument for proving two circles are similar:

Step 1 Translate circle B to the right 9 units and up 7 units to form concentric circles.
Step 2 Dilate circle B to be congruent to circle A using scale factor of k = r sub two over r sub one equals two over three
Step 3 When an object is dilated, the dilated object is similar to the pre-image, thus the two circles are similar.

What is the first incorrect step, and how can it be fixed?

A. All steps are correct
B. Step 1, translate circle B to the right 7 units and up 9 units
C. Step 2, use scale factor of K= r^2/r^1=3/2
D. Step 3, replace dilated with translated.

An image of two concentric circles is shown with r2 = 8 and r1 = 3:

2. Image shows a pair of concentric circles. The radius of the smaller circle is r sub 1 and the radius of the second is r sub 2.

In order to prove the two circles are similar, the radius r1 was increased to make the circles congruent. What is the scale factor used in the above image?

A. k=8/3
B. K=3/8
C. K=1/5
D. K=5

Answers

The anwser is B, k= 3/8

First one is B. Because if you're moving from -4 to 3 you don't move 9 units right instead you move 7.

A regular pentagonal prism has 9-cm base edges. A larger, similar prism of the same material has 36-cm case edges. How does each indicated measurement for the larger prism compare to the same measurement for the smaller prism? A)volume B) weight

Answers

To compare the volumes of the prism we used the scale factor:
volume scale factor=(linear scale factor)³
the linear scale factor of the prism is:
(length of larger prism)/(length of smaller prism)
=36/9
=4
thus the volume scale factor will be:
4³=64
hence the volume of the larger prism is 4 times that of the smaller prism.

Do you have the answers to this quiz?

WILL GIVE BRAINLIEST IF YOU HAVE THE REST OF THE ANSWERS

Answers

Hey, I remember this. Connexus, right?

I completed this a few months ago but don't remember the rest of the answers. Message me and I'll be able to find them for you, but anyway, I'm positive the answer is A.

Proof:
A=(123-55)/2=34

Anyone help please!!!!

Answers

We are to verify the identity:

cos(α-B)-cos(α+B) = 2 sinα sinβ

Left hand side = cos(α - B)-cos(α + B)

= cosα cosβ + sinα sinB - (cosα cosB - sinα sinβ)

= cosα cosβ + sinα sinB - cosα cosB + sinα sinβ)

= sinα sinβ + sinα sinβ

= 2 sinα sinβ

= Right Hand side

cos(a-B)-cos(a+B)
cosucosv - sinusinv = cos(u+v)
cosucosv + sinusinv = cos(u-v)

cos(a-B)-cos(a+ B) = cosa cosB + sina sinB - (cosa cosB - sina sinB)= cosa cosB + sina sinB - cosacosB + sinb sinB= 2 sina sinB

If a borrower obtains an interest-only loan of $112,500 at an annual interest rate of 6%, what is the monthly interest payment (rounded to the nearest $1)?

Answers

Loan amount = $112,500
Annual interest rate = 6% = 0.06

Interest per year = Principal amount * Annual interest rate = 112,500*0.06 = $6,750

Monthly payment interest = Annual interest/12 = $6,750/12 = $562.50

Explain how the difference of a fraction or a rational number and its additive inverse is equal to zero.

Answers

The additive inverse property states that when you add a number and its opposite (rational numbers), the result is zero. The reason is that the inverse of a number is the opposite, so if you have a number and when do the opposite with it (add the opposite), the result will be zero. This applies to adding!!!

Hope This Helped =3

The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be reduced to half its initial mass. Starting with 115 grams of a radioactive isotope, how much will be left after 3 half-lives? Use the calculator provided and round your answer to the nearest gram.

Answers

1st half-life: 115/2 = 57.5 grams
2nd half-life: 57.5/2 = 28.75 grams
3rd half-life: 28.75/2 = 14.375 grams = 14 grams

After 3 half-lives, approximately 14 grams of the radioactive isotope will be left.

We have,

To calculate the remaining mass of a radioactive isotope after a certain number of half-lives, we can use the formula:

Remaining Mass = Initial Mass * (1/2)^(Number of Half-Lives)

Given:

Initial Mass = 115 grams

Number of Half-Lives = 3

Substituting the values into the formula, we get:

Remaining Mass = 115 * (1/2)^3

Calculating this expression:

Remaining Mass = 115 * (1/2)³

Remaining Mass = 115 * (1/8)

Remaining Mass = 14.375

Rounding to the nearest gram, the remaining mass is approximately 14 grams.

Therefore,

After 3 half-lives, approximately 14 grams of the radioactive isotope will be left.

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A bag contains 3 red, 4 black and 2 white balls. what is the probability of drawing a red ball and then a white ball, if each ball is returned to the bag immediately after it is drawn? 2/27 1/9 1/3 4/27 2/9

Answers

Total number of balls = 3 + 4 + 2 = 9
red ball = 3
white ball = 2

P(red, then white) = (3/9)(2/9) = 6/81 = 2/27

Answer: 2/27

If f is a function such that f(b)-f(a)/b-a=2, then which of the following statements must be true?

Answers

Based on the type of equation, f(b) relates to y2, f(a) relates to y1, b relates to x2, and a relates to x1. If we change those around we now get:
(y2 - y1)/(x2 - x1) which is the slope formula, or the average rate of change. thus your answer would be C

The sum of the squares of two consecutive positive even integers is 100. find the two integers

Answers

The integers are 6 and 8
6^2= 36
8^2=64
36+64=100

Let's denote the two consecutive positive even integers as x and x+2.

We know their squares sum up to 100, represented mathematically as:

x^2 + (x + 2)^2 = 100.

Expanding this equation, we get:

x^2 + x^2 + 4x + 4 = 100.

Combining like terms gives us:

2x^2 + 4x - 96 = 0.

This is a quadratic equation in the form of ax^2 + bx + c = 0, where a = 2, b = 4, and c = -96.

We can solve this quadratic equation for x using the quadratic formula:

x = [-b ± sqrt(b^2 - 4ac)] / 2a.

Substituting a, b, and c into this formula, we find that:

x = [-4 ± sqrt((4)^2 - 4*2*-96)] / 2*2,
x = [-4 ± sqrt(16 + 768)] / 4,
x = [-4 ± sqrt(784)] / 4,
x = [-4 ± 28] / 4.

So the solutions are x = (28 - 4) / 4 = 6 and x = (-28 - 4) / 4 = -8.

Since we are looking for positive even integers, we discard the negative solution.

Therefore, the two consecutive positive even integers are 6 and 6 + 2 = 8.

Which of the following is not needed when making a box plot?
A - Mean
B - Minimum
C - Median
D - Third Quartile

Answers

The mean is not needed to make a box plot.

I hoped this helped!

Answer: A) Mean

You use the median as the center of the boxplot. The first and third quartiles (Q1 and Q3) make up the left and right edges of the box. The min and max are the furthest points on the left and right side of each whisker. The mean is not used at all. With outliers, the mean is skewed. If you have any outliers then its best to use the median instead.

At a particular music store, CDs are on sale at $14.00 for the first one purchased and $12.00 for each additional disc purchased. Maria spends $86.00 on CDs. How many CDs has Maria purchased?

Answers

To calculate the answer, we subtract $ 14 from the first CD to the total amount spent, which is $ 86.
So:
$ 86- $ 14 = 72
The rest of the CDs cost $ 12.
Then we divide $ 72 between $ 12
$ 72 / $ 12 = 6.
That means that 6 CDs were bought at $ 12 plus the first one bought at $ 14.
So the number of CDs that María bought was 7

Answer: 7

Step-by-step explanation:

If x varies directly with y and x=3.5 when y=14 find x when y=18

Answers

[tex]\bf \qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{x} varies directly with \underline{y}}\qquad \qquad x=ky\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array}\\\\ -------------------------------\\\\ \textit{we also know that } \begin{cases} x=3.5\\ y=14 \end{cases}\implies 3.5=k14\implies \cfrac{3.5}{14}=k \\\\\\ \cfrac{1}{4}=k\qquad therefore\qquad \boxed{x=\cfrac{1}{4}y} \\\\\\ \textit{when y = 18, what is \underline{x}?}\qquad x=\cfrac{1}{4}(18)[/tex]

The domain of {(x, y): y = 2x² + 1 is

Answers

Answer:
Domain: (- ∞, ∞)

Explanation:
The equation y = 2x² + 1 is a somewhat narrow parabola translate up 1 unit on the y-axis from the origin (0, 0). The domain of a graph indicates which x-values the diagram can potentially reach, or how far it can travels on the x-axis.

Because it is a parabola, it goes infinitely in both directions of the x-axis. Therefore, its domain is (-∞ ,∞)

Final answer:

The domain of the function y = 2x² + 1 is all real numbers, which is expressed as [tex]$ (-\infty, +\infty) $[/tex]

Explanation:

The domain of a function refers to the set of all possible input values for which the function is defined. In the case of the function [tex]$ y = 2x^2 + 1 $[/tex], it is a quadratic function, meaning it is defined for all real numbers [tex]$ x $.[/tex]

The function[tex]$ y = 2x^2 + 1 $[/tex] involves squaring [tex]$ x $[/tex], which can result in any real number. Since there are no restrictions on the values that[tex]$ x $[/tex] can take, the domain of this function is all real numbers. Mathematically, we denote this domain as[tex]$ (-\infty, +\infty) $[/tex].

This implies that for any real number you substitute in for [tex]$ x $[/tex], the function [tex]$ y = 2x^2 + 1 $[/tex] will produce a corresponding real number for [tex]$ y $.[/tex] There are no values of [tex]$ x $[/tex] for which the function becomes undefined or non-existent.

Graphically, this function represents a parabola that opens upwards, covering all real values of [tex]$ x $[/tex] along the x-axis. Therefore, the domain encompasses the entire real number line without any gaps or exclusions.

Which box plot represents the data?
30, 35, 25, 5, 5, 25, 40, 45, 50, 10, 15, 40

Answers

your answer would be A after you found the 5 number sequence.

The answer would be A.

In 2010, a city's population was 1,405,233 and it was decreasing at a rate of 1.1%. At this rate when will the city's population fall below 1,200,000?
a. 2024
b. 2027
c. 2036
d. 2049

Answers

Population in 2010, P(o) = 1,405,233
Rate of decrease, R = 1.1% = 0.011

Applicable formula

P(n) = P(o) *(1-R)^n

Where P(n) = population after n years, n = Number of years
From information given,
1,200,000 = 1,405,233 (1-0.011)^6
1,200,000/1,405,233 = (0.989)^n
0.85395 = (0.989)^n
ln (0.85395) = n ln (0.898)
n = [ln (0.85395)]/[ln (0.989)] = 14.27 years ≈ 14 years
Year in which population will fall below 1,200,000 = 2010+14 = 2024

Then, the correct answer is a.

Answer:

2024

Step-by-step explanation:

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Please help !!!!!!!! What was the purpose of the United Nations? It wanted to stop the spread of democracy. It was an assembly of nations to work out issues facing the world. The initial purpose was to decide consequences for the agressors in World War I. The United Nations was used to enforce Communism and Socialism. In a typical lightning strike, 2.9 c flows from cloud to ground in 0.18 ms. what is the current during the strike? The lengths of two sides of a triangle are 5 inches and 16 inches find the range of possible lengths for the third side Find the surface area of the cylinder in terms of .A) 108 cm2 B) 144 cm2 C) 180 cm2 D) 216 cm2 Which statements about subjective ideas are true? Check all that apply. a They can be proven with facts.b They cannot be supported with facts.c They are based on opinions.d They recognize all relevant evidence of an idea.e They use only evidence that supports the idea.will put brainliest if right! What is the purpose of the coronary artery and what results if there is blockage in this vessel ? cousrse hero? Name two prey adaptations how does each adaptation protect the organism You make a solution by putting 45.6g of iron lll carbonate into 167ml of water. What is it's molarity? You also need 25ml of a .672M Nickel ll hydroxide solution. Explain how to make that. Now write the balanced equation that occurs when you put these two reactants together. The molarity of the iron product will be .05 and the molarity of the nickel product will be 1.45. At equilibrium, what will be favored? What did jesus mean when he said he came to fulfill the law and the prophets? The dot plot shows the number of goals that the Springlane High School soccer team scored per game last season. How many games did the team play? REPHRASE THIS INTO LESSER WORDS:Once upon a time widespread throughout the Yangtze River network in China, but eventually fell victim to widespread pollution, development and hunting. The Yangtze giant softshell turtle is the largest freshwater turtle in the world. Only three specimens are known to exist in the world after a fourth one died in Vietnam in January 2016 Only one is female, meaning that the survival of the species rests entirely on her capacity to breed.However, she's 100 years old, and so far there's no sign of motherhood for the old turtle. Scientists are working to improve conditions at the enclosure to improve the odds that a brood will survive. As a "rule of thumb" estimate, athletes who wish to increase muscle mass should increase daily energy intake by approximately ____ kcal. Which expressions are equivalent to the one below? Check all that apply.8^xA. 32^x/4B. (32/4)^xC. 8 * 8^x + 1D. x^4E. 32^x/4^xF. 8 * 8^x-1 You get how to do this. Plzz helo me Which of the following would you most likely be doing to the meat in your dish if you were using a salamander? A. Glazing B. Smoking C. Grilling D. Sauting What is the simplified form of \sqrt((72x^(16))/(50x^(36))) ? Assume x 0.? Can someone tell me if I got this answer correct? If not, what is the correct answer? The agricultural practice of spraying insecticides leaves behind which pollutant in the soil? A. Chemical poison B. Excess nitrogen C. Excess salt D. Acidic compounds What mountain ranges run down the eastern and western coasts of mexico?