P = 215(1.005)t/3

The equation above can be used to model the population, in thousands, of a certain city t years after 2000. according to the model, the population is predicted to increase by 0.5% every n months. what is the value of n ?

(A) 3 (B) 4 (C) 12 (D) 36

Answers

Answer 1

Answer:

(D) 36

Step-by-step explanation:

0.5%  = 0.5/100  =  0.005

It is given that the population (215) is predicted to increase by 0.5%. To know the value after increment, 215 has to be multiplied by (1 + 0.005) or 1.005.

In the equation P  =  215(1.005)t/3, the value of t/3 has to be equal to 1 for 0.5% increase.

t/3  =  1

t  =  3 years

Convert years to months.

n  =  3 ⋅ 12 months

n  =  36 months

The correct option is D.

Thanks!

Mark me brainliest!

Answer 2

Answer:

36

Step-by-step explanation:

Because t/3 means that 0.5% every 3 years. n will be 3 years which is 36 months


Related Questions

If the function y = xa − 31 is a linear function, what is the value of a?

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try using desmos calculator it is a graphing calculator

Answer:

it should be 1

Step-by-step explanation:

Find 4,290 + 3,602. Explain how to use mental math to solve.

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answer: 7892

explanation: add each number individually left to right. 4+3 , 2+6 , 9+0 , 0+2

is 4/10 greater than 14/35?

Answers

Answer:

Nope it is equal to

Step-by-step explanation:

if you simplify both of them 4/10=2/5 and 14/35=2/5

What is 22.5 subtract by 2.5

Answers

Answer:

The answer is 20 hope this helps

Step-by-step explanation:

22.5 divided by 2.5 = 20

Simplify 5⁶/5³
A. 5³
B. 5²
C. 1³
D. 1²​

Answers

Answer:

d

Step-by-step explanation:

Answer:

A. 5^3

Step-by-step explanation:

5^6 = 15625

5^3 = 125

15625/125 = 125

if f(x)=7x+2, evaluate f(x+1)-f(x)

Answers

Answer would be 7 ))

The total cost of 5 doughnuts and 6 cookies at a bakery is $11.95.The cost of each cookie is $0.95.Select the equation and its solution that can be used to determine the cost,x, of 1 doughnut.

Answers

The equation for the situation is [tex]5x+6(0.95)=11.95[/tex]

The solution to the equation is [tex]x=1.25[/tex]

First, you must set up the equation.

[tex]5x+6(0.95)=11.95[/tex]

Then, you must simplify the terms.

[tex]5x+5.7=11.95[/tex]

Next, subtract 5.7 on both sides.

[tex]5x=6.25[/tex]

Finally, divide 5 on both sides

[tex]x=1.25[/tex]

The cost of each doughnut is $1.2 and the equation is 5(0.95) + 6x = 11.95 if the total cost of 5 doughnuts and 6 cookies at a bakery is $11.95.

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:

The total cost of 5 doughnuts and 6 cookies at a bakery is $11.95.The cost of each cookie is $0.95.

The cost of 1 doughnut is x.

Total cost = $11.95

Total cost = 5(0.95) + 6x

11.95 = 5(0.95) + 6x

Or

5(0.95) + 6x = 11.95

After solving

x = $1.2

Thus, the cost of each doughnut is $1.2 and the equation is 5(0.95) + 6x = 11.95 if the total cost of 5 doughnuts and 6 cookies at a bakery is $11.95.

The options are:

6(0.95) + 5x = 11.95

5(0.95) - 6x = 11.95

5(0.95) + 6x = 11.95

5(0.95) + 6(11.95) = x

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Joshua quick made a deposit to his checking and recieved $50 in cash. His deposit slip shows a total deposit of $90. If Joshua deposited checks worth six times the value of the coins he deposited, how much did he deposit in (a) coins and (b) checks?

Answers

Joshua deposited

(a). $12.85 in coins

(b). $77.14 in checks

Linear equation in one variable?

The linear equation in one variable is an equation which is expressed in the form of ax + b = 0, where a and b are two integers, and x is a variable and has only one solution.

According to the given question

Joshua deposited checks worth six times the value of the coins he deposited.

Let Joshua deposit the value of coins be x. Then the value of x will be 6x

There is total deposit of $90.

⇒ x + 6x = 90

⇒ 7x = 90

⇒ [tex]x = \frac{90}{7}[/tex] =$12.85

Therefore,

[tex]6x = \frac{90(6)}{7} =\frac{540}{7}[/tex] = $77.14

Hence, he deposit total $12.85 in coins and $77.14 in checks.

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Help me please!!!!

In a car race, for every mile covered by car A, car B covered 4 miles. The ratio of the number of miles covered by car A to the number of miles covered by car B is ___.

1 to 1
4 to 4
4 to 1
1 to 4

Answers

Answer:

1 to 4

Step-by-step explanation:

I don't think u want the explanation

y = 4(x - 2)(x + 6)
what is this factored out

Answers

y=4x^2+16x-48

Start with factoring (x-2)(x+6) using distribution
Then multiply it by 4

What is the constant of proportionality between p and n?
Mr. Lopez teaches his classes how to make maraca
instruments by filling plastic eggshells with dried
beans. Mr. Lopez uses the equation p = 0.75n to
find the number of pounds p, of beans needed for
n classes.
Use the number pad to enter your answer in the box.

Answers

Answer:

0.75

Step-by-step explanation:

Constant of proportionality between p and n, is the ratio of both proportional quantities.

Thus, given the equation, [tex] p = 0.75n [/tex], of which Lopez uses, this equation represents the relation between both quantities.

The ratio of p and n = the constant of proportionality.

Thus:

[tex] p = 0.75n [/tex]

[tex] \frac{p}{n} = \frac{0.75n}{n} [/tex]

[tex] \frac{p}{n} = 0.75 [/tex]

Constant of proportionality = 0.75

What is the degree of g(x) =5x +6x^7 - 8x^3

Answers

The degree of the polynomial is 7 as the highest power in its terms is 7.

So, the correct option is A.

What is the degree of a polynomial?

The degree of a polynomial is the highest power that its terms pertain (for multi-variables, the power of term is the addition of the power of variables in that term).

Thus, in

[tex]g(x) =5x +6x^7 - 8x^3[/tex]

Hence, the degree of the polynomial is 7 as the highest power in its terms is 7.

(power and exponent are the same thing)

So, the correct option is A.

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The points on a section of an exam is given by the function fx, where x is the number of questions answered correctly in that section. If f12=18, then a test-taker receives 18 points for answering _____ questions in the section correctly.

Answers

Answer: 12

Step-by-step explanation:

Given the function :

f(x),

x is defined as the number of questions answered correctly in a certain section.

Thus given that the function; f(12) = 18 means a test-taker receives 18 points for answering x questions in the section correctly

The number of correct questions will be :

Compare ;

f(x) = f(12)

Hence ; x = 12 = number of questions answered correctly in the section.

-8n - 8 = -72 what is the answer

Answers

Answer:

8

Step-by-step explanation:

[tex]-8n - 8 = -72\\-8n = -72 + 8\\-8n = -64\\n = 8[/tex]

Answer: 8

Step-by-step explanation:

Multiplying both sides by -1, we get:

8n + 8 = 72

8n = 72-8

8n = 64

n = 64/8 = 8.

Write an equation with an exponent for 39mm=0.039

Answers

Answer:

An equation would be 39 divided by 10^3= 0.039

Step-by-step explanation:

Hope this helps!! ;-)

Daniel has 2 cookies, Maya has 2 Cookies. If Daniel and Maya put their cookies together how many will the have in all. Please help, I can't figure this one out.

Answers

Answer:

4 cookies

Step-by-step explanation:

2+2+=4

Answer:

I do believe that it is 4.

Step-by-step explanation:

They both have 2 cookies, and putting them together will be 4. 2 + 2 = 4

Students in a classroom have eaten 20% of jellybeans from a jar. There are now only 100 jellybeans left! How many jellybeans
were in the jar to begin with?​

Answers

Answer:

125 to start with

Step-by-step explanation:

Find the interest on the following loan.
$5350 at 9%; loan made on August 15 and due December 18
The simple interest for this loan is $
(Round to the nearest cent as needed.)

Answers

Answer     for 2020:  loan maturity in days 125

                                   Actual Interest is $164.90

Step-by-step explanation:

loan x Interest x Time (in days =Total interest

the simple interest on the loan is approximately $161.28.

To calculate the interest on the loan, we need to determine the time period in years and multiply it by the principal amount and the interest rate.

The loan period runs from August 15 to December 18, which is a total of 4 months. To convert this into years, we divide 4 by 12 (since there are 12 months in a year), resulting in 1/3 or approximately 0.3333 years.

The principal amount is $5350, and the interest rate is 9% or 0.09 as a decimal.

Using the formula for simple interest: Interest = Principal x Rate x Time

Interest = $5350 x 0.09 x 0.3333 ≈ $161.28

Therefore, the simple interest on the loan is approximately $161.28.

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On a coordinate plane, a line goes through (0, negative 3) and (2, 2). A point is at (2, negative 3).
Complete the statements about finding the equation of the line that is parallel to line n and passes through point (2, –3).

The slope of the graphed line is
.
The slope of the parallel line is
.
An equation that can be used to find the y-intercept of the parallel line is
.
The y-intercept of the parallel line is
.
The equation of the parallel line is
.

Answers

Answer:

5/2,     5/2,     -3= (5/2)(2)+b,     -8,     y=(5/2)x-8

Step-by-step explanation:

Answer:

The slope of the graphed line is  

✔ 5/2

.

The slope of the parallel line is  

✔ 5/2

.

An equation that can be used to find the y-intercept of the parallel line is  

✔ –3 = (5/2)(2) + b

.

The y-intercept of the parallel line is  

✔ –8

.

The equation of the parallel line is  

✔ y = (5/2)x – 8

.

Step-by-step explanation:

Which expression can be written as 2 • (4 + 9)?
A. 2 • 9 + 4
B. 2 • 4 + 9
C. (2 • 4) + (2 • 9)
D. (2 + 4) + (2 + 9)

Answers

Answer:

C

Step-by-step explanation:

the answer is C ;)))))))

The diagram shows the graph of y=2x+c
Find the value of k

Answers

Answer:

can you add the photo

Step-by-step explanation:

Answer:

Value of K:

K=6.5

Step-by-step explanation:

Given BCM=ZYR find each missing measure

Answers

Answer:

Step-by-step explanation:

Since, ΔBCM ≅ ΔZYR,

∠B ≅ ∠Z

∠C ≅ ∠Y

∠M ≅ ∠R

And BC ≅ ZY

CM ≅ YR

BM ≅ ZR

a). CM = YR = 11 m

b). BM = RZ = 15 m

c). YZ = BC = 8 m

d). m∠B = m∠Z = 45°

e). m∠M = 180° - [m(∠B) + m(∠C)]

             = 180° - (45 + 103)°

             = 180° - 148°

             = 32°

f). m∠Y = m∠C = 103°

The side lengths are as follows: YZ is 8, BM is 15, and CM is 11. and angle B has a measure of 45 degrees. The angle C is 103 and the angle m is 32.

What is a Congruent triangle?

Congruent triangles are two triangles that are the same size and shape. They remain congruent if we flip, turn, or rotate one of two congruent triangles. If the sides of two triangles are the same, they must have the same angles and thus be congruent.

Congruent triangles have equal corresponding sides and angles

The measure of the side lengths are: YZ = 8,BM = 15 and CM = 11

The measure of the angles is angle B = 45. angle C = 103 and  angle m  =32

The given parameter is:

Tri angle BCM = Triangle ZYR

This means that triangles BCM and ZYR are congruent.

So, we have the following congruent sides

YZ = CB

BM = ZR

CM = YR

so, the measure of the side lengths are:

YZ = 8

BM = 15

CM = 11

Also, we have the following congruent angles

angle B = angle Z

angle C =  angle Y

angle M =  angle R

the measure of the angles are

angle B = 45

angle Y = 103

The measure of angle M is calculated using:

∠M + ∠C + ∠B = 180

∠M = 32

Therefore, The measure of the side lengths is: YZ is 8, BM is 15 and CM is 11. and The measure of the angles is angle B is 45. angle C is 103 and angle m  is 32.

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What is the degree of the following polynomial: 5x7+4x5-3x4+2x3-4x+10?

Answers

Answer:

20

Step-by-step explanation:

7+5+4+3+1=20

the degree of the polynomial is 20

Which is the solution of the quadratic equation (4y - 3)2 = 12?

Answers

Answer:

(4y - 3)2 = 72?y3 +/Z and yy=3-6/243+62y=and y=-3 – 6/2440y=9/… ... 12 POINTS!! 2. (2, 0) and (0, 3) The equation for these ordered pairs is ...

1 answer

Step-by-step explanation:

(2/5) x ( - 5/4) Can someone please help me

Answers

answer would be -1/2

What is 7 7//8 + 2 1/4=

Answers

Answer:

14.875

Step-by-step explanation:

77/8 = 9.625 and 21/4 = 5.25

So, 9.625+5.25 =14.875

Answer: 10  1/8

............................

27 sandwiches using 12 pounds

Answers

If wanted to know how many pound is in each sandwich you divide 27 and 12 and your answer would be 2.25
I hope this will help

1. Anthony's team won the basketball game, scoring seventy-two points.The
other team only scored fifty-five points. Anthony scored 12 of those points, and
the six other players each scored the same number of points.How many points
did each of his teammates score?

Answers

Because Anthony’s team scored 72 points and Anthony scores 12 of those, that would be 72 - 12 = 60. Now if all of his teammates scored the same amount of points, you would divide 60/6 and get 10 points per Anthony’s teammates. Hope this helps!

All the fudge machines at a chocolate factory work at the same rate. Six machines working simultaneously can complete a big order in 22 hours. c How many hours would it take to fill the order if the number of working machines increased by factor of 4?

Answers

9514 1404 393

Answer:

  5.5 hours

Step-by-step explanation:

The presumption in these cases is that the rate of doing work is proportional to the number of machines. So, 4 times as many machines can do the work 4 times as fast. That is, the same job can be completed in 1/4 the time:

  (22 h)(1/4) = 22/4 h = 5.5 h

It would take 5.5 hours to fill the order.

Answer:

5.5

Step-by-step explanation:

it is 5.5 because

22 divided by 4 is 5.5

the answer is 5.5

in my class it says increased by 2 not 4

so my answer is 11

because 22 divded by 2 is 11

square root of complex no. a+bi.....please answer it fast i m waiting​

Answers

Step-by-step explanation:

[tex](x { }^{2} - {y}^{2} ) {}^{2} = ( {x}^{2} + y {}^{2} ) {}^{2} - 4x {}^{2} y {}^{2} [/tex]

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