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Dafna1 [17]
3 years ago
15

Marco starts with a population of 10 bacteria that doubles every day for a number of days, d. He writes the expression 10(2d) to

find the number of bacteria after d days. Isabella starts with a population of 1 bacterium that increases 20% every day for a number of days, d. She writes the expression (1 + 0.2)d to find the number of bacteria after d days. Use the drop-down menus to explain what each part of Marco's and Isabella's expressions mean.

Mathematics
2 answers:
LenKa [72]3 years ago
6 0

Answer:

Step-by-step explanation:

riadik2000 [5.3K]3 years ago
3 0

Answer:

Marco- 10 is the starting value of the population. 2 is the growth rate of "double each day" with d as an exponent.

Isabella- 1 is the starting population. 1+0.2=1.2 is the rate at which it grows each day.

Step-by-step explanation:

Marco's equation should be 10(2^{d}) since the bacteria double each day. 10 is the starting value of the population. 2 is the growth rate of "double each day" with d as an exponent. This will double each day because:

Day 1 is 2^{1}=2

Day 2 is 2^{2}=4

Day 3 is 2^{3}=8

Day 4 is 2^{4}=16

You'll notice the value doubles each day.

Isabella has a different equation because her population increases by a percentage. We use the simple interest formula to calculate the bacteria's daily increase or interest.

1(1+0.2)d

1 is the starting population.

1+0.2=1.2 is the rate at which it grows each day.

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Total Price: The sales tax rate is 5%. If the sales tax on a 10-speed bicycle is $9, what is the purchase price?
Lesechka [4]

Answer:

The purchase price is $180

The total price is: $189

Step-by-step explanation:

Sales tax rate = 5\%

Sales tax on bike = $9

We need to find the purchase price.

Let purchase price = x

We know that Sales tax = 5% of x

and Total price = Purchase Price + Sales tax

So, we can write:

Sales tax = 5% of x

Putting values and finding x

9 =5\% \:of\: x\\9=\frac{5}{100}\:of\:x \\x= \frac{9*100}{5}\\x=180

So, the value of x i.e Purchase price = $180

The purchase price is $180

Now finding the total price of bicycle

Total price = Purchase Price + Sales tax

Total price = 180 + 9

Total price = $189

So, The total price is: $189

6 0
3 years ago
A web page design firm has two designs for an online hardware store. To determine which is the more effective​ design, the firm
elena55 [62]

Answer:

A. The explanatory variable is the number of items viewed. This explanatory variable is quantitative.

Step-by-step explanation:

The variable that we can change is called the Explanatory Variable.

The Response variable depends upon the explanatory variable, as we change the value of the explanatory variable the value of the response variable is also get changed.

When the data is in the form of numeric, it is called quantitative.

When the data is not in the numeric form, it is called qualitative.

Here, we have to determine which web page design is better and it depends on the number of the item viewed by a visitor to that site.

Thus, the Explanatory variable is the "number of items viewed".

and the number of items viewed is numeric data, so it is quantitative.

Hence, option (A) is correct.

5 0
3 years ago
Translate verbal Expressions to algebraic equations
alexandr402 [8]

Answer:

1. 4*(1.81712069^3)=10

2. (9-5)/2=2

3. (2.15443469^3)+10=20

7 0
3 years ago
Read 2 more answers
1) After a dilation, (-60, 15) is the image of (-12, 3). What are the coordinates of the image of (-2,-7) after the same dilatio
BARSIC [14]

Answer:

a) k = 5; (-10, -35)

Step-by-step explanation:

Given:

Co-ordinates:

Pre-Image = (-12,3)

After dilation

Image = (-60,15)

The dilation about the origin can be given as :

Pre-Image(x,y)\rightarrow Image(kx,ky)

where k represents the scalar factor.

We can find value of k for the given co-ordinates by finding the ratio of x or y co-ordinates of the image and pre-image.

k=\frac{Image}{Pre-Image}

For the given co-ordinates.

Pre-Image = (-12,3)

Image = (-60,15)

The value of k=\frac{-60}{-12}=5

or k=\frac{15}{3}=5

As we get k=5 for both ratios i.e of x and  y co-ordinates, so we can say the image has been dilated by a factor of 5 about the origin.

To find the image of (-2,-7), after same dilation, we will multiply the co-ordinates with the scalar factor.

Pre-Image(-2,-7)\rightarrow Image((-2\times5),(-7\times 5))

Pre-Image(-2,-7)\rightarrow Image(-10,-35) (Answer)

7 0
3 years ago
The point-slope form of the equation of the line that
Alborosie

Answer:

y=1/2x+5/2

Step-by-step explanation:

expand the point-slope form and rearrange to y=mx+b

y-3=1/2(x-1)

y-3=1/2x-1/2

y=1/2x+5/2

3 0
3 years ago
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