1. Jim is tracking the progress of his plant’s growth. Today the plant is 8cm high. The plant grows 3.5cm per day. What will the height of the plant be on day 28? (Hint: “today” is day 0).

2. The average inflation rate of the U.S. dollar over the last six years is 2.8% per year. If a new car cost $29,000 six years ago, how much would it cost today?

3. The population of Mickey Village is 48,000 today. Every other year the population increases by 1,550 people. In approximately how many years will the population exceed 70,000 people?

4. The population growth rate is 3.0% per day with a current population of 30,000.
a. What is the TDouble?
b. What will the populate be in 10 years?

5. The half-life of substance X is 3.5 years. How long will it take for a 96.0 mg sample of substance X to decay and only have 3.0 mg of it remaining?

6. Paul opens a savings account with $900. He deposits $550 per month. Assume that he does not withdraw money or make any additional deposits.
a. How long will it take Paul to save $8,100?
b. How long will it take Paul to save enough money for a $250,000 house?
c. Explain why your answers to 6a and 6b make sense.

7. The doubling time of a population of flies is 20 days. If there are initially 250 flies, how many flies will there be in 46 days?

8. Suppose that a bacteria population doubles every eleven hours. If the initial population is 2,000 individuals, approximately how many hours would it take the population to reach 20,000?

Answers

Answer 1

1. Jim is tracking the progress of his plant’s growth. Today the plant is 8cm high. The plant grows 3.5cm per day. What will the height of the plant be on day 28? (Hint: “today” is day 0).

"The plant grows 3.5 cm per day" means that the function grows by 3.5 cm each day. We can make a function like this:

y = 8 + 3.5x

Day 0 -> Day 28 is +28 days, so plug-in x with 28 to find out how much it would have grown in 28 days PLUS the original height of the plant, 8 cm.

y = 8 + 3.5(28) <-- see how I replaced x with 28

Simplify

y = 8 + 98 = 106 cm at day 28

2. The average inflation rate of the U.S. dollar over the last six years is 2.8% per year. If a new car cost $29,000 six years ago, how much would it cost today?

2015, 2016, 2017, 2018, 2019, 2020, 2021

Just to help you imagine the years, we need to find the car's value from $29,000 in 2015 to 2021 using the idea that the car's value increases by 2.8 percent. What does 2.8 percent mean and how do we use this information to find out how much it increases? We need to convert this to a decimal so we can multiply it by 29,000 easily. First, convert 2.8% to a decimal = 0.028. Then we have to add 1 to 0.028. Why? Because we need to make sure that we still have the original 100% of the 29,000. If we forget the 1 then we're just finding 2.8% of 29,000! So, now we know that our multiplier by each year is 1.028. Now we have to multiply.

29,000 x (1.028)^6 (we have a power of 6 because remember, we are multiplying the 1.028 every year, and there are 6 years!)

Simplify: 34,226.0425 that rounds to 34,226.0425 dollars

3. The population of Mickey Village is 48,000 today. Every other year the population increases by 1,550 people. In approximately how many years will the population exceed 70,000 people?

The details of this question are confusing, so I won't answer this. Sorry, I'm really short on time. I hope I could help the best I could.


Related Questions

Can someone pls help me

Answers

Answer:

50.3 is the circumference

Step-by-step explanation:

Answer:

circumference = 50.2 in

Step-by-step explanation:

circumference = 2rπ

circumference = 8 x 2 x 3.14 = 50.24 in

A quiz consists of five multiple choice questions. Each question has four choices. A student who forgot to study guesses randomly on every question What is the probability that the student answers exactly three questions correctly?​

Answers

Answer:

1/64

Step-by-step explanation:

probability of getting one question correct is 1/4

P(3 questions correct):  1/4 · 1/4 · 1/4

what solid can be folded from the net?

Answers

Answer:

I think it is triangular prisim

Answer:

Triangular prism

Step-by-step explanation:

What is 24 – 6х3+52 - (16+ 2)?
ОА.
9
ОВ.
23
Ос.
71
OD.
496

Answers

Answer:

40

Step-by-step explanation:

24 – 6х3+52 - (16+ 2)

PEMDAS states we do the paranthesis 1st

24 – 6 х 3 + 52 - (18)

Next, we do the multiplication

24 - 18 + 52 - 18

Since it's just adding & subtracting, we go from left to right

40

1. Force is a push or a
upon an object
A heat
C. pull
B. motion
D. transfer
2 Which is needed to make an object move?
A density
C. porous
B. force
D. non-porous

Answers

Answer:

1. C

2.B

Step-by-step explanation:

Force is a push or a pull.. can be a twist too

to make an object move you have to apply force by pushing of pulling the object.

No me voy al hospital a la oficina porque yo no tengo ni caso de la casa ni siquiera te quiero mucho

if f(x)= 3x+16 what is f(2)

Answers

Answer:

22

Step-by-step explanation:

Answer: 3(2)+16=22

Reason:
3x2=6
6+16=22
So the answer is 22

Un número dividido entre 8

Answers

Answer:

What??? I cant understand

Step-by-step explanation:

Answer:

8 divided by 4 = 2

Step-by-step explanation:

What is the distance between the following points?

Answers

Answer:

Option C)√72 will be your answer

----------------------

hope it helps...

have a great day!!

Answer:

these are some latex code , paste it in keyboard and see how it looks

A student has been tracking his progress in French class. He notes each
grade he receives along with the date he received it. At the end of the
semester, he decides to create a data display to illustrate how his grades
have improved over time. What kind of display is his best choice?
O A. Stem-and-leaf plot
O B. Line graph
O C. Bar graph
D. Circle graph

Answers

Line because it will show the gradual increase or decrease

Answer:

B) Line graph

Help 16-18 thank you

Answers

Answer:

16. (80)(60) = 4800

17. (500)(600) = 300000

18. (700)(800) = 560000  a). high

Step-by-step explanation:

a cylinder shaped water pitcher has a radius of 5 inches and a height of 12.5 inches find the surface area of the pitcher
A.5495 in² B. 54.95 in²
C.549.5 in² D. 5.495 in²​

Answers

Question:-

A cylinder shaped water pitcher has a radius of 5 inches and a height of 12.5 inches. Find the surface area of the pitcher.

Answer:-

Given:-

[tex] \bullet [/tex] Radius (r) of a cylinder shaped water pitcher = 5 inches.

[tex] \bullet [/tex] Height (h) of a cylinder shaped water pitcher = 12.5 inches.

To Find:-

The surface area of the pitcher.

Solution:-

We know,

Formula of Surface area of a cylinder is 2πr(r + h) sq. units.

So,

Surface area of the pitcher = 2 × 3.14 × 5(5 + 12.5)

Surface area of the pitcher = 31.4 × 17.5

Surface area of the pitcher = 549.5 in²

[tex] \therefore [/tex] The surface area of the pitcher is 549.5 in².

Hence, the option (C) 549.5 in² is correct. [Answer]

The surface area of the cylinder is  549.50  in².

What is the surface area of the cylinder?

A cylinder is a three-dimensional object. It is made up of a prism with a circular base. The total surface area is the sum of the areas of the faces or surfaces of a 3-dimensional object

Total surface area = 2πr(r + h)

Where:

π = 3.14r = 5 h = height

2 x 3.14 x 5 (5 + 12.5) = 549.50  in²

Giving brainliest!!!!!!

Answers

Answer:

The volume of the composite figure is approximately 434.041 cubic centimeters.

Step-by-step explanation:

The volume of the composite figure ([tex]V[/tex]), in cubic centimeters, is the sum of the volumes of the cuboid ([tex]V_{c}[/tex]), in cubic centimeters, and hemisphere ([tex]V_{h}[/tex]), in cubic centimeters, that is:

[tex]V = V_{c} + V_{h}[/tex] (1)

[tex]V = w\cdot h \cdot l + \frac{2\pi}{3}\cdot R^{3}[/tex] (2)

Where:

[tex]w[/tex] - Width, in centimeters.

[tex]h[/tex] - Height, in centimeters.

[tex]l[/tex] - Length, in centimeters.

[tex]R[/tex] - Radius, in centimeters.

If we know that [tex]w = 10\,cm[/tex], [tex]h = 6\,cm[/tex], [tex]l = 5\,cm[/tex] and [tex]R = 4\,cm[/tex], then the volume of the composite figure is:

[tex]V = w\cdot h \cdot l + \frac{2\pi}{3}\cdot R^{3}[/tex]

[tex]V = (10\,cm)\cdot (6\,cm)\cdot (5\,cm) + \frac{2\pi}{3}\cdot (4\,cm)^{3}[/tex]

[tex]V \approx 434.041\,cm^{3}[/tex]

The volume of the composite figure is approximately 434.041 cubic centimeters.

The following frequency table shows the number of children that each member of Moms Club has. Find the median number of children.

Answers

The median number of children is 3.

The given frequency table shows the number of children that each member of the Moms Club has.The number of children as given in the table is 1, 2, 3, 4, and 5.The number of members as given in the table is 1, 1, 2, 0, and 1.The median is the number that divides a data sample distribution's upper half from its lower half in statistics and probability theory. It can be regarded as the "midway" value for a set of data.The middle value of the number of children from the above given data is 3.

To learn more about median, visit :

https://brainly.com/question/28060453

#SPJ1

Answer:

2 child

Step-by-step explanation:

what is the surface area

Answers

Answer:

Step-by-step explanation:

total surface area=3×(1/2×10×6.7)+1/2×10×8.7=3×(33.5)+43.5

=100.5+43.5

=144

the answer is 144 :) sorry if i’m wrong btw

Rectangle VWXY is dilated by a scale factor of 2 to form rectangle V'W'X'Y'. Side X'Y'
measures 22. What is the measure of side XY?

Answers

9514 1404 393

Answer:

  11

Step-by-step explanation:

X'Y' = 2XY . . . . lengths are related by the dilation factor

22 = 2XY . . . substitute the given value

11 = XY . . . . . divide by 2

The measure of side XY is 11.

Which linear inequality is represented by the graph?
Oys 2x + 4
Oyszx+ 3
O yz {x + 3
O y 2x + 3

Answers

i’m sorry but where is the graph?

The linear inequality that represents the graph is: [tex]y \le \frac 23x + \frac 15[/tex]

The line of the inequality passes through the points:

(0,0.2) and (3,2.2)

So, the slope of the line is:

[tex]m = \frac{2.2 - 0.2}{3 - 0}[/tex]

[tex]m = \frac{2}{3 }[/tex]

The equation is then calculated as:

[tex]y =mx + c[/tex]

Where c represents the value of y, when x = 0.

So, we have:

[tex]y =\frac 23x + 0.2[/tex]

Rewrite as:

[tex]y =\frac 23x + \frac 15[/tex]

The down region is shaded, and the line is a closed line.

So, the inequality is:

[tex]y \le \frac 23x + \frac 15[/tex]

Read more about inequalities at:

https://brainly.com/question/9774970

look at the picture above

Answers

Answer:

12

Step-by-step explanation:

Area of a triangle = [tex]A=\frac{bh}{2}[/tex]

Where b = base and h = height

The shown triangle has a base length of 3 cm and a height of 8 cm

Using these dimensions we plug in the values into the formula

[tex]A=\frac{3*8}{2} \\3*8=24\\\frac{24}{2} =12\\A=12[/tex]

Hence, the area of the triangle is 12 square centimeters

Answer:

12 centimeters^2

Step-by-step explanation:

We find the area of a triangle by multiplying the base and width of the triangle before dividing by 2

Why because if u put 2 triangles together you get a rectangle

3*8=24

24/2=12

help meh pwase explain how ur answer is plz

Answers

Answer: for question 2

B

Step-by-step explanation:

23.15

+12.67

------------

35.82

40.00

- 35.82

---------

4.18

what is:

k/3 + 17 = 12?​

Answers

What is:
k/3 + 17 = 12?
k = -15

Answer:

-15

Step-by-step explanation:

yan po ang answer thank you na lang po

DetermIne the inverse function of f(x) = 1/3 + 6
Please show work

Answers

Answer:

f(x)⁻¹ = 3x - 18

Step-by-step explanation:

I'm going to assume that 1/3 is the coefficient of the x.

f(x) = 1/3x + 6

y = 1/3x + 6

x = 1/3y + 6

x - 6 = 1/3y

3x - 18 = y

f(x)⁻¹ = 3x - 18

work out the value of (6-2.5)( 8+4)​

Answers

Answer:

42

Step-by-step explanation:

Uh, I'm guessing what is being asked here is to solve, so, time to distribute.

(6 - 2.5)(8 + 4)

48 + 24 - 20 - 10

42

What is the area of this polygon? Im really bad a geometry so can I have help please.

Answers

I hope this helped and was right.

PLZ HELP THIS IS DUE TODAY AND PLZ NO LINKS

Answers

Answer:

A. Stripped of things that cause pollutions

Step-by-step explanation:

You can find this in the last section 3rd sentence

PLEASE HELP! I WILL GIVE BRAINLIEST!! Six less than the quotient of a number and 4 is 11. What is the number? Let n be the unknown number

Answers

Answer:

n/4-6

Step-by-step explanation:

n/4-6

This is the expression because we need to divide n by 4 and subtract 6

The number is 68

68 divided by 4= 17

17-6=11

A rectangle is 64 cm long 40 cm wide find is area and perimeter​

Answers

Answer:

Assuming the length to be x and the width to be y.

Since the area is 64cm, hence

x*y = 64 (equation 1)

Since the perimeter is 40cm, hence

x + x + y + y = 40

2x + 2y = 40

2(x + y) = 2(20)

x + y = 20 (equation 2)

Hence by using simultaneous equation,

x = 20 - y (equation 3)

Substituting equation 3 into equation 1, we get

(20-y)*y=64

20y-y^2=64

Tidying up the equation,

y^2 - 20y + 64 = 0

By using factorisation,

(y-16)(y-4)=0

y=16 or y=4

By substituting y=16 into equation 1,

x*16=64

x = 4

By substituting y = 4 into equation 1,

x*4=64

x=16

Therefore,

The length is 4 cm while the width is 16 cm.

OR

The length is 16 cm while the width is 4cm.

Hope this helps!!

which angle corresponds to <OJH​

Answers

Answer:

line parallel to OJ or JH

u = 63 cm, t = 34 cm and ∠T=158°. Find all possible values of ∠U, to the nearest 10th of a degree.

Answers

Answer:

{}

Step-by-step explanation:

Thats actually the answer believe it or not :)

89.5, 71, 75, 76, 74, 87, 89, 71, 85

mode = ?

Answers

Answer:

mode of this question is 71

Answer:

71

Step-by-step explanation:

because mode is the number that occurs most frequently

14. A boy completes a 100 m circular track race in 5 min. Another boy runs in the same
time
completes the race in 6 minutes. If they start from the same point then after how many
will they meet at the starting point
Find the smallest 3-digit number which is exactly divisible by 5.10 and 20​

Answers

Answer:

ee

Step-by-step explanation:

Would greatly appreciate the help

Answers

Answer:

Answer is E but not 100%

Step-by-step explanation:

Answer:

A is correct

E shows an error as the first two values are identical so one cannot be greater than the other.

Step-by-step explanation:

A shows 2.69 is equal to 2.696 which is more than 2.696 which is more than 2.696 which is more than 2.696

As when;

2.696 repeats in bold = 2.696969696  1st greatest

2.696 repeats in bold = 2.696696696 2nd in highest value so 2nd in order.

2.696 repeats in bold = 2.696666666 3rd in highest value so 3rd in order.

2.696 does not repeat = 2.696 so is the least greatest from the list.

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