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

kelly raised flowers. in a compitions with other flower growers, she earned the scores below
8,11,11,7,9,9,8,10 what's the median mode range and mean of these numbers​

Answers

Answer:

Median: 9

Range: 4

mode: 9, 8, 11 (each appeared 2 times)

mean: 9.125 (average)

Step-by-step explanation:

question uploaded above. please help me​

Answers

Answer:

(2/3) ^-5

Step-by-step explanation:

yes

I need help plz (will give brainlyist)

Answers

Answer:

x=5/2 ft

Step-by-step explanation:

∵V=lbh

⇒15/16= 3/4×1/2×x

(15/16)÷(3/8)=x

∴x=5/2 ft

Which sign makes the statement true? -3 ? |3| is it greater than, less than, or equal to?​

Answers

-3<3

have an amazing day <3

What type of dilation occurs with a scale factor of 3/2?

Answers

Answer:

A figure is reflected in two intersecting lines that form an angle of 40°

If P = (3, 1) and Q = (-3, -7), find The distance PO​

Answers

Answer:

10 units

Step-by-step explanation:

Given data

P = (3, 1) and Q = (-3, -7)

x1=3

y1=1

x2= -3

y2= -7

The expression for the distance between two coordinate is

d=√((x_2-x_1)²+(y_2-y_1)²)

Substitute

d=√((-3-3)²+(-7-1)²)

d=√((-6)²+(-8)²)

d=√36+64

d=√100

d=10 units

Hence the distance is 10 units

The Russian ruble coin has a radius of 10.25 mm. What is the circumference in terms of Pi?

5Pi

10Pi

10.25Pi

20.5Pi

Answers

5 pi would be the answer

Answer:

the answer is 20.5Pi

Step-by-step explanation:

i tried 5pi and it was wrong, it then showed me that 20.5Pi was right

dominic is buying candy by the pound for a party. for every 10 pounds of candy he buys, he pay $12. What is the cost of the candy, per pound, for the candy?

Answers

Answer:

12$

Step-by-step explanation:

Answer:

$1.20 per pound

Step-by-step explanation:

The reason for this answer is because you divide 10 by 10 so its 1 pound and whatever you do to the bottom you do to the top so you divide 12 by 10 which equals 1.2 aka $1.20

50 points) please help! no links, brainliest, extra points.
I understand if you need points, you can go to my old questions and answer them for points, please only answer if your 100% sure you're correct. I've redone this over 20 times, asked over 50, and failed all those times. thank uu.


Consider the two box plots below.



Which of the following statements is true?
A.
The median of box plot A is greater than the median of box plot B.
B.
The interquartile range of box plot A is greater than the interquartile range of box plot B.
C.
Both the box plots A and B have the same median.
D.
The median of box plot B is greater than the median of box plot A.

Answers

Answer:

D

Step-by-step explanation:

The answer gonna be D because the median of plot B is about 27 but in A it is 19

Answer:

D

Step-by-step explanation:

pick the Quadrant that you would plot (-6,-3)
A. Quadrant I
B.Quadrant II
C.Quadrant IV
D.Quadrant III

Answers

Answer C: Quadrant three

I need help plz!!!!!!??!?!

Answers

Answer:

3848.45

Step-by-step explanation:

half 70

35

πr^2

π×35^2

Answer:

22/7×35×2

22/7×70

= 220cm²

Janelle is viewing an image of a sculpture. She enlarges it using a scale of 0.2 cm to 1/8 ft. How many centimeters in the image are used to show 1 foot of the sculpture?

Answers

Answer:

Step-by-step explanation:

Janelle is viewing an image of a sculpture. She enlarges it using a scale of 0.2 cm to 1/8 ft.

To Find :

How many centimetres in the image are used to show 1 foot of the sculpture.

Solution :

Ratio of enlargement is :

Let, enlarged size of 1 foot required x cm of image.

Therefore, 1.6 cm of image is required.

Hence, this is the required solution.

Margot helps out at a horse farm. She spends 26 minutes one morning brushing a horse. She spends 39 minutes that same day brushing another horse. How many minutes does she brush horses in all?​

Answers

It total she would spend 65 minutes brushing the horse (this can also be 60=1 hour +5 =1 hour and 5 minutes)

BRAINIEST PLEASEEE

Write an equation in standard form of a line that travels through
the points (5,2) and (-3, -14).

Answers

-16 I did the calculations and it should be right

Help pls

••••••••••••••••

Answers

I'm so late sksksks

Answer:

1395 ft²

Step-by-step explanation:

The total area of the green surfaces

= 15² × 5

= 1125 ft²

The area of each triangular surfaces

= 15 × 9 ÷ 2

= 67.5 ft²

The total area of triangular surfaces

= 67.5 × 4

= 270 ft²

The total area of the figure

= 1125 + 270

= 1395 ft²

What is the answer I can’t seem to figure out this one

Answers

Answer:

64x^2 + 40x + 25.

Step-by-step explanation:

What number is 60% of 35?

Answers

Answer:

21................

Step-by-step explanation:

21.................

Question 12 Multiple Choice Worth 1 points)
(05.01)
Choose the equation below that represents the line passing through the point (2, -4) with a slope of
rezi

Answers

Answer:

y - 3x = -10

Step-by-step explanation:

Complete question

Choose the equation below that represents the line passing through the point (2, -4) with a slope of 3

The standard equation of a line in point-slope form is y-y0 = m(x-x0)

Given

x0 = 2

y0 = -4

alope m  = 3

Substitute

y - (-4) = 3(x - 2)

y + 4 = 3(x - 2)

y + 4 = 3x - 6

y - 3x = -6 - 4

y - 3x = -10

Hence the required equation is y - 3x = -10

Need help asappppp please

Answers

Answer:

It would be 1/4

Step-by-step explanation:

20 POINTS!! PLEASE HELP! WILL GIVE BRAINLIEST!!

Answers

Answer:

d i think

Step-by-step explanation:

please help

question is in the picture I will mark brainliest

Answers

Answer:

(4,0)

Step-by-step explanation:

The x intercept is where the line in the function crosses the x axis or the horizontal line

in here we can see that the line crosses the x intercept 4 "lines" from the origin so we can say the origin is (4,0)

Remember when doing points ( #,#) the first number is the x position which in this scenario is 4 and the second number is the y position and in this case it's 0

For males in a certain town, the systolic blood pressure is normally distributed with a
mean of 120 and a standard deviation of 8. What is the probability that a randomly
selected male's systolic blood pressure will be less than 108, to the nearest
thousandth?

Answers

Answer:

0.89

Step-by-step explanation:

The probability that a randomly selected male's systolic blood pressure will be less than 108 is 0.25.

What is Probability?

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Here, mean  = 110, standard deviation = 8

P = [tex]\frac{x_{mean}-x }{SD}[/tex]

P = (110 - 108)/8

P = 2/8 = 0.25

P(Z<0.25) = 0.5 - 0.25 = 0.25

Thus, The probability that a randomly selected male's systolic blood pressure will be less than 108 is 0.25.

Learn more about Probability from:

https://brainly.com/question/14210034

#SPJ2

a clock chimes every 20mins
a light flashes every 8 mins
the clock chimes and the light flashes together at 8:00

how many times between 8:01 and 12:30 will the clock chime and the light flash together?
show your working (5marks)

Answers

Answer: 6 times

Step-by-step explanation:

it is a lowest common multiple question. So we list the multiples

20                   8

40                   16

60                   24

80                   32

                      40

40 is our lowest common multiple. Which means every 40 minutes they flash and chime together.

so if we add 40 minutes onto 08:00 we get 08:40 and if we add it again we get 09:20 and again we get 10:00 and again we get 10:40 and again we get 11:20 and again we get 12:00. We have to stop here as if we add 40 minutes again we will go over the given time of 12:30. If we count how many times it was added. this adds to 6. therefore the answer is 6.  

hope this helped.

The clock will chime and the light flashes together 6 times.

How many times the clock will chime and light flash together?

The Least Common Multiple (LCM) of a group of numbers is the smallest number that is a multiple of all the numbers.It is the lowest common multiple question. So we list the multiple

20                   8

40                   16

60                   24

80                   32

                     40

40 is our lowest common multiple. This means every 40 minutes they flash and chime together.

so if we add 40 minutes onto 08:00 we get 08:40 and if we add it again we get 09:20 and again we get 10:00

and again we get 10:40 and again we get 11:20 and again we get 12:00. We have to stop here as if we add 40 minutes again we will go over the given time of 12:30.

If we count how many times it was added. this adds to 6. therefore the answer is 6.  

Therefore the clock will chime and the light flashes together 6 times.

To know more about LCM follow

https://brainly.com/question/233244

#SPJ2

Solve: 18^(x^(2)+4x+4)=18^(9x+18)


x = -2

x = 7

x = –2 and x = 7

no solution

Answers

Is this the problem?

[tex]18x^{2+4+4} = 18^{9x+18}[/tex]

Answer

The Answer is C                    

x=-2 and x=7                      

     

               

                                           

please solve thisssssszzzszzsszzssss​

Answers

17- I got it I used my brain not Brainly

solve y=f(x) for x then find the input when the output is 6

f(x)= 6x^2

Answers

x = 1

So to figure this out we can readjust the equation to make it easier to solve

[tex]f(x) = 6x^2[/tex] is equal to [tex]6x^2 = 6[/tex]

From here we can simplify to get our answer!

[tex](6 / 6)x^2 = (6 / 6)\\x^2 = 1\\x = \sqrt{1}\\x = 1[/tex]

Cherries cost $4.35 per pound and onions cost $0.98 per pound. Lacey has $21.45 to spend. How many pounds of cherries can Lacey afford if she has to buy 3 pounds of onions?

Answers

4.25lb is the answer

Pre-Test
Active
1
2
3
4
10
The quotient of (x4 + 5x - 3x – 15) and a polynomial is (x3 - 3). What is the polynomial?
x? + 5x6 - 6x4 - 30x3 + 9x + 45
x-5
x + 5
x7 + 5x + 6x4 + 30x3 + 9x + 45

Answers

Answer:

x5

Step-by-step explanation:

Answer: C.

Step-by-step explanation:

EDGE 2023

At the peak of a roller coaster ride, the rider's watch flew off his wrist. The height h in feet of the watch, t seconds after he lost it, is given by y= -16x^2 + 32x + 48. How many seconds did it hit the ground?​

Answers

Answer:

[tex]3 \: s[/tex]

Step-by-step explanation:

[tex]y = - 16 {x}^{2} + 32x + 48 \\ 0 = \frac{ - 16 {x}^{2} + 32x + 48 }{ - 16} \\0 = {x}^{2} - 2x - 3 \\ 0= {x}^{2} - 3x + x - 3 \\ 0= x(x - 3) + 1(x - 3) \\0 = (x + 1)(x - 3) \\ \\ x + 1 = 0 \\ x = - 1 \\ x - 3 = 0 \\ x = 3[/tex]

Hope this helps you.

Can I have the brainliest please?

Answer:

Step-by-step explanation:

You can't do anything but substitute for h and t in this question.

t = x

y = h

h = -16t^2 + 32t + 48

This is not a calculus course I don't think, so this is your answer.

3. Jolene gets paid 17 cents a tree for tree planting up north. In one week she planted 2437 trees. What i
her wage?

Answers

Answer:

Wage of Jolene is 414.29 dollars per week

Step-by-step explanation:

Amount received by Jolene for planting a tree is 17 cents

Given

Total amount of trees planted in a week =   2437

Wage of Jolene is equal to product of number of trees planted and amount paid for planting one tree

Wage of Jolene

[tex]= 2437 * 0.17\\= 414.29[/tex]Dollars

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