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2 years ago

Lily pads increase by 25% every 10 days.lf a pond starts with 22 lily pads,how many will there be after 50 days?

Mathematics

1 answer:

Fantom [35]2 years ago

3 0

We conclude that after 50 days, there will be 67 lily pads.

<h3>how many will there be after 50 days?</h3>

We know that the number increases by 25% every 10 days.

In 50 days we have 5 groups of 10 days, so there will be five increases of 25%.

We know that the initial number is 22 lily pads, if we apply five consecutive increases of the 25% we get:

N = 22*(1 + 25%/100)*...*(1 + 25%/100%)

( the factor (1 + 25%/100%) appears five times)

So we can rewrite:

N = 22*(1 + 25%/100%)⁵

N = 22*(1 + 0.25)⁵ = 67.1

Which can be rounded to the nearest whole number, which is 67.

So we conclude that after 50 days, there will be 67 lily pads.

If you want to learn more about percentages:

brainly.com/question/843074

#SPJ1

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Describe a capricormus constellation

Helen [10]

Answer and Step-by-step explanation:

Capricornus is a zodiac thing. Its name is Latin and it means "horned goat" or "goat horn" or "having horns like a goat's", it is something along those lines. It is commonly represented in the form of a sea goat.

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3 years ago

) An instructor gives his class a set of 18 problems with the information that the next quiz will consist of a random selection

RSB [31]

Answer:

The probability the he or she will answer correctly is 1.5%

Step-by-step explanation:

In all, there are 18 problems. In this question, the order of which the problems are sorted for the quiz makes no difference. For example, if the question A of the quiz is P1 and question B P2, and question A P2 and question B P1, it is the same thing.

There are 18 problems and 9 are going to be selected. So, there is going to be a combination of 9 elements from a set of 18 elements.

A combination of n elements from a set of m objects has the following formula:

$C_{(m,n)} = \frac{m!}{n!(m-n)!}$

In this question, m = 18, n = 9. So the total number of possibilities is:

$T_{p} = C_{(18,9)} = \frac{18!}{9!(18-9)!} = 48620$

Now we have to calculate the number of desired outcomes. This number is a combination of 9 elements from a set of 13 elements(13 is the number of problems that the student has figured out how to do).

Now, m = 13, n = 9. The number of desired possibilities is:

$D_{p} = C_{(13,9)} = \frac{13!}{9!(13-9)!} = 715$

The probability is the number of desired possibilities divided by the number of total possibilities. So

$P = \frac{715}{48620} = 0.015 = 1.5%$

The probability the he or she will answer correctly is 1.5%

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3 years ago

What is the vertical shift of the graph of the parent cosecant function to the graph of the function below?

STatiana [176]

Answer:

Option: C is the correct answer.

C. 3 units down.

Step-by-step explanation:

We know that the graph of a cosecant function has a minimum value for a upward open curve as : 1

It could be seen from the graph.

But here the minimum value of the upward open curve in the transformed function is: -2

This means that the vertical shift is given by:

-2-1=-3

This means that there is a vertical shift of 3 units down in the parent function.

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3 years ago

Read 2 more answers

What is the<br> area of the<br> parallelograrn?<br> 16 in<br> in 2<br> 13 in

Jlenok [28]

Answer:

32 in, assuming 2 is your height, 208 in assuming 13 is your height

Step-by-step explanation:

Area = Base x Height

*You can always use this formula to find the area, but only for parallelograms

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3 years ago

Zachary purchased a computer for 1100 on a payment plan. 4 months after he purchased the computer, his balance was $755. Five mo

NeTakaya

Answer:

Model is

b = 115m + 65

The slope represents the amount of balance offset per month

Step-by-step explanation:

Here, we want to model an equation.

The equation to model will be in the form;

y = mx + c

we have the following points to consider

The points are in the form;

(number of months, balance)

(m , b)

So the points we have are;

(4,755) and (5,640)

So the slope will be ;

(y2 -y1)/(x2-x1) = (755-640)/(5-4) = 115

So the equation will be;

b = am + c

where a is the slope and c is the y intercept

we already have the slope

so equation becomes;

b = 115m + c

let’s get the y-intercept

we can get the y-intercept by any of the points;

That would be; let’s use (5,640)

640 = 5(115) + c

640 = 575 + c

c = 640 -575

c = 65

So the equation of the model is;

b = 115m + 65

The slope represents the balance per month

5 0

3 years ago