as a town gets smaller the population of its high school decreases by 5% each year. The senior class has 160 students now. In how many years will it have about 100 students? Write an equation. Then solve the equation without graphing. Write an equation to represent the situation. Let n be the number of years before the class will have 100 students.

As A Town Gets Smaller The Population Of Its High School Decreases By 5% Each Year. The Senior Class

Answers

Answer 1

Answer:

T_n = 160(0.05)^(n - 1)

At T_n = 100, n = 1 year

Step-by-step explanation:

We will use geometric progression to solve this question.

Formula for nth term of a GP is;

T_n = ar^(n - 1)

We are told the population of its high school decreases by 5% each year.

This means r = 0.05

senior class has 160 students. Thus a = 160

Thus,T_n = 160(0.05)^(n - 1)

Where n is number of years after now.

We want to find the number of years before the class will have 100 students

Thus;

160(0.05)^(n - 1) = 100

(0.05)^(n - 1) = 100/160

(n-1)In 0.05 = In (100/160)

-2.9957(n - 1) = -0.47

(n - 1) = 0.47/2.9957

n = 1 + 0.1569

n = 1.1569

Approximating to the nearest whole number gives n = 1


Related Questions

What is the value of c?
C=

Answers

The correct answer is 70


Please someone help with this math problem!!!!

Answers

So it would be that you are very beautiful!

Find the missing length of the triangle 12 in and 35 in.

Answers

Answer:

37

Step-by-step explanation:

The answer is 37 I tried it and its right

HELPP MEEE!
7th gradeee

Find the circumference of the circle. Use 3.14 or 22/7 for TT. Round to the nearest tenth if necessary.

I’ll mark you brainliest!

Answers

47.1

the formula of circumference is 2×radius×pi.. so given=radius=7.5

pi=3.14

2×7.5×3.14=47.1

anyone tell me the answer

Answers

Answer: 0.9 is the same as 9 tenths

0.009 is the same as 9 thousandths

On a day in the month of February the temperature in barrow Alaska is 221*f at the same time the temperature in northway Alaska is 213*f

Answers

Give the Full Question then I will solve it..

Pls help!!!! Pic attached

Answers

I’m not sure but have you tried 7?
y=10
all you have to do is substitute the numbers given
hope this helps :)

Jerome bought 2 postcards and received $1.50 in change in quarters,dimes. And nickels.The nickels, were worth $0.15.If he got 9 coins, back how many of each coin did he get

Answers

Answer:

Jerome got 5 quarters, 1 dime and, and 3 nickels.

Step-by-step explanation:

Let's define the variables:

N = number of nickels he got

D = number of dimes he got

Q = number of quarters he got

We know that the nickels were worth $0.15

And each nickel is whort $0.05

Then:

N*$0.05 = $0.15

N = $0.15/$0.05 = 3

N = 3

Now we also know that there is a total of 9 coins, then:

N + D + Q = 9

3 + D + Q = 9

D + Q = 9 - 3 = 6

D + Q = 6

And we also know that the total change received is $1.50, then:

D*$0.10 + Q*$0.25 + N*$0.05 = $1.50

We know that N = 3, then we can replace that and get:

D*$0.10 + Q*$0.25 + 3*$0.05 = $1.50

D*$0.10 + Q*$0.25 = $1.50 - $0.15 = $1.35

D*$0.10 + Q*$0.25 = $1.35

Then we have two equations:

D + Q = 6

D*$0.10 + Q*$0.25 = $1.35

To solve this, we can isolate one of the variables in one of the equations, i will isolate D in the first one:

D = 6 - Q

Now we can replace this in the other equation:

(6 - Q)*$0.10 + Q*$0.25 = $1.35

Now we need to solve this for Q.

$0.60 - Q*$0.10 + Q*$0.25 = $1.35

Q*$0.15 = $1.35 - $0.60 = $0.75

Q = ($0.75)/($0.15) = 5

Q = 5

Then Jerome has 5 quarters.

Now we can return to the equation:

N + Q + D = 9

We already know that:

N = 3

Q = 5

Then if we replace those in the equation, we get:

3 + 5 + D = 9

8 + D = 9

D = 9 - 8 = 1

D = 1

answer to (3j–1)+(–5j–4) ??

Answers

Answer:

-2j - 6

Step-by-step explanation:

3j - 2 + (-5j) - 4

3j - 2 - 5j - 4

-2j - 6

In a college philosophy class during the fall semester, there were 323 students,42% of whom were male and the rest of whom were female. In the springsemester, the same number of females was in the class as in the fall, but there were only 298 total students in the class. In the spring, what percent of students were female?
A. 46%B. 58%C. 63%D. 92%

Answers

Using the percentage concept, it is found that the percentage of female students in the spring was of:

C. 63%

What is a percentage?

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

[tex]P = \frac{a}{b} \times 100\%[/tex]

During the fall semester, 58% of 323 students were female, hence:

0.58 x 323 = 187.

Then, during the spring semester, the same amount out of 298, hence:

[tex]P = \frac{187}{298} \times 100\% = 63\%[/tex]

More can be learned about the percentage concept at https://brainly.com/question/10491646

I give brainlest, please help.

Answers

the answer is, x=11

hope this helps!

If it is 2$ and it was 75 percent off what is the original price?

Answers

Answer:

$8

Step-by-step explanation:

If it's 75% of that mean 2=25%

multiply it by 4 to get 8

plz hurry due today!
Write an equation of a line through the point (-4,-1) that is parallel to the line y= -3/4x + 4​

Answers

Answer:

y = -3/4x -4

Step-by-step explanation:

Parallel slope = -3/4

(-4,-1)

y - y1 = m(x - x1)

y + 1 = -3/4(x + 4)

y + 1 = -3/4x - 3

y = -3/4x -4

Find the area of this triangle. Round to the nearest tenth. 9.5 yd 23 yd



Please help!

Answers

Answer:

[tex]Area=\frac{ab}{2} \\\\area=\frac{9.5.23}{2} \\\\answer=108.8 yd^{2}[/tex]

Step-by-step explanation:

I hope this helps ^_^

The area of the triangle is 108.7 square yards.

What is the area of the triangle?

Let a, b, and c is the sides of the triangle.

The area of the triangle is given as

S = (a + b + c) / 2

[tex]\rm A = \sqrt{s(s - a)(s - b)(s -c )}[/tex]

The third side of the triangle will be

c² = a² + b² - 2ab cos θ

c² = 9.5² + 23² - 2 × 9.5 × 23 × cos 85°

c² = 619.25 - 38.09

c² = 581.16

 c = 24.11 yd

Then the area of the triangle will be

S = (9.5 + 23 + 24.11) / 2

S = 56.61 / 2

S = 28.3

Then the area will be

[tex]\rm A = \sqrt{28.3(28.3 - 24.11)(28.3 - 23)(28.3 - 9.5)}[/tex]

Simplify the expression, then the value will be

A = √11815.01

A = 108.7 square yd

The area of the triangle is 108.7 square yards.

More about the area of the triangle link is given below.

https://brainly.com/question/19305981

#SPJ2

can you round 16.191

Answers

Answer:

Yes,

rounding to the nearest hundrenth would be 16.19

rounding to the nearest tenth would be 16.2

and rounding to the nearest ones place would get you 16

Step-by-step explanation:

Omari buys a computer for $1,083. She
makes a down payment of 20%. She pays
$144.40 per month to finish paying for
the computer. How many months will it
take Omari to finish paying?

Answers

Answer:

6 months.

Step-by-step explanation:

To find the answer, we first need to find out how much Omari paid for the down payment. To find this, you multiply 1083*0.20 and you get $216.60. So we subtract the down payment from the total leaving us with $866.40. Now to find out how many months it would take Omari to pay, we divide 866.40/144.40 since each month she pays $144.40 a month. Once you divide 866.40/144.40, you are left with an answer of 6 months.

PLS HELP ME AND MY TEACHER ARE ON A 1 ON 1 CALL HELP ASAP

Answers

Answer:

I'm confused because...

Step-by-step explanation:

The area of the triangle is 117.

So the surface area of the pyramid is 701.168.

Show work, please
32 points!

Answers

Answer:

1.Equivalent

2.Equaivalent

3.Not Equivalent

4.Equivalent

Can someone help me on this plzzz??

Answers

Answer:

add to elimanate y.

Step-by-step explanation:

Please help me out with this!

Answers

Answer:pooor guy hope u get it

Step-by-step explanation:

A figure has side lengths as marked in the diagram.
What is the area of the figure?

Answers

Answer:

132.4

Step-by-step explanation:

-2x+2y=6 and 7x+4y=23

Answers

Let's solve this problem step-by-step:

Let's set:

  [tex]-2x + 2y = 6 -- equation 1\\7x+4y=23 -- equation 2[/tex]

(equation1) * 2

  [tex]-4x+4y=12--equation3[/tex]

(equation 2) - (equation 3)

  [tex]11x = 35\\x= \frac{11}{11}--equation4\\x=1[/tex]

Plug (equation4)'s value of 'x' into (equation1)

  [tex]-2(1} )+2y=6\\-2+2y =6 \\2y = 6+2 =8 \\y =4[/tex]

Thus x= 1 and y = 4

Let's check:

 [tex]-2(1 )+2(4)=6\\2 +4 =6\\6=6\\ \\7(1)+4(4) )=23\\7+16=23\\ 23 =23\\[/tex]

Answer: x = 1 and y= 4

Hope that helps!

Help! I will mark brainliest

Answers

Answer:

[tex]4[/tex] x [tex]10^{6}[/tex]

Step-by-step explanation:

Answer:

4*10^6

Step-by-step explanation:

need help i dont know what I am doing

Answers

Answer:

answer below:)

Step-by-step explanation:

Basically, start off by simplifying each pair of numbers.

The first one: [tex]2^{2}[/tex] x 5 = 4 x 5 = 20

The second one: [tex]11^{1}[/tex]= 11

The third: [tex]8^{2}[/tex]-60 = 64 - 60 = 4

Now from least to greatest, so that would be 4, 11, 20 or in this case it would then be [tex]8^{2}[/tex]-60,  [tex]11^{1}[/tex],  [tex]2^{2}[/tex] x 5

Hope it helped, good luck!!

Tell whether the ordered pair is a solution.
y=4x
(1,4)

Answers

Answer:

It’s a solution

Step-by-step explanation:

What are all the zeros of the function f(x) = 4x2 + 8x + 3?
Please help!!

Answers

X= 3 on top and f - 16 on the bottom!

HELP!!!! If a scale of 2 in:10 ft is used, how long is an object that is 14 in. long
in a drawing?

Answers

answer: 70 feet
explanation: 14/2=7 7x10=70

Find the area of the right triangle

Answers

The answer i think should be 8

Answer:

12 is the area

Step-by-step explanation:

Area is multiplication

2 width

6 length

2 times 6

10 Points, and thank you!

Answers

-8x^2-50x-60 i don’t know if that’s correct

Put the following equation of a line into slope-intercept form, simplifying all fractions.

Answers

put into y=mx+b form y= -2/3x-5

Answer:

[tex]4x+6y=-30\\\\6y=-4x-30\\\\y=\frac{-4x}{6} -\frac{30}{6} \\\\ y=\frac{-2}{3} x-5[/tex]

Step-by-step explanation:

I hope this helps

have a nice day!! :)

Other Questions
Riddle How many letters are in the ALPHABET? 1. What is the importance of reusing, reducing, and recycling waste products or materials? 2. Who benefits the 3R's? 3. How can we encourage people to do the 3R's? What did other characters say about lady macbeth? Who was it? What is the net force acting on a jet that has a mass of 130,000kg and it accelerates at a rate of 6m/s as it takes off Which of the following represents the correct pronunciation of emission?a.emiss-ionc.e-missionb.e-mis-siond.em-iss-ion Which enzyme functions to prevent supercoiling of the DNA molecule during replication?A)HelicaseB)TopoisomeraseC)RNA polymeraseD)DNA polymerase Based on the document, what was an important difference between samurai and knights? Light A flashes every 8 seconds.Light B flashes every 20 seconds.Both lights flash at the same time.Work out how long it will take for both lights to flash at the same timeagain. Sales of Granite City Products Inc. have been on a steady decline for the last 12 months. A market research study conducted revealed that the product of Granite City Products Inc. can be sold only for $480 as opposed to the current market price charged of $580 per unit. Granite City Products Inc. has decided to revise its sales price to $480. The annual sales target volume of the product after price revision is 280 units. Granite City Products Inc. wants to earn 30% on its sales amount. What is the target cost per unit Guys please help me, Ive been stuck on this question for a bit. I will mark you brainliest (: 9 times a number is the sum of the number and 56. Translate the statement to equations What is the area formula for a rectangle? A: A = (1/2)bh; Area = (1/2) x base x height B: A= (1/2)(b1 + b2)h; Area = (1/2) x (base1 + base2) x heightC: A = bh; Area base x height D: A = a^2; Area = side x side can someone please help me. my grade is very low in this class although i have no idea how to do this PLEASE HELP!! 2y-5=4ywhat is y? really stuck Your personal hygiene is more important to avoid you becoming ill, more so than spreading germs.TrueFalse 2. A spelunker is down in a cave next to the cliff. If sheclimbs down deeper into the cave, this will be anegative change. If she climbs up, whether inside thecave or out of the cave and up the cliff, this will be apositive change.Complete the table.startingelevation(feet)change(feet)finalelevation(feet)Correct?- 200150 down-350B- 200100 up-100-200200 up0x < < < American League baseball teams play their games with the designated hitter rule, meaning that pitchers do not bat. The league believes that replacing the pitcher, traditionally a weak hitter, with another player in the batting order produces more runs and generates more interest among fans. Below are the average numbers of runs score in American League and National League stadiums for the first half of the 2001 season. **American:** 11.1, 10.8, 10.8, 10.3, 10.3, 10.1,10.0, 9.5, 9.4, 9.3, 9.2, 9.2, 9.0, 8.3 **National:** 14.0, 11.6, 10.4, 10.3, 10.2, 9.5, 9.5, 9.5, 9.5, 9.1, 8.8, 8.4, 8.3, 8.2, 8.1, 7.9 (a) Create two box plots to display this data and comment on what you see. (b) Estimate the mean number of runs scored in American League games with a 95% CI. What concerns do you have about making a similar CI for National League games Please help me out on this questionnnnn PLEASE ANSWER ASAP WITH SHOWN WORK FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!im so confused Identify the point in Figure 2 that corresponds to point M in Figure 1.