A

The director of the town's sports programs is studying trends in enrollment over time. She finds that the number of participants

ziro4ka [17]

Answer:

The function is : $y=120(1.10)^x+120+10x$

Step-by-step explanation:

Suppose, after $x$ years, the number of participants in the town's soccer program is $y_{1}$ and in the town's street hockey program is $y_{2}$

This year, there are 120 children participating in each program.

The number of participants in the town's soccer program increases by 10% each year.

Using the exponential growth formula, the number of participants in the town's soccer program after $x$ years will be.....

$y_{1}=120(1+0.10)^x\\ \\ y_{1}=120(1.10)^x$

The number of participants in the town's street hockey program increases by 10 children each year.

So, the number of increased participants in $x$ years $=10x$

Thus, the number of participants in the town's street hockey program after $x$ years will be.....

$y_{2}=120+10x$

If the total number of children participating in the two programs is represented as $y$ , then.....

$y= y_{1}+y_{2}\\ \\ y=120(1.10)^x+120+10x$

So, the function that can be used to predict the total number of children participating in the town's soccer and street hockey programs in x years will be: $y=120(1.10)^x+120+10x$

3 0

3 years ago

Find domain of 1-x if x is less than or equal to 1

Fiesta28 [93]

The domain of a function is the complete set of possible values of the independent variable. In plain English, this definition means: The domain is the set of all possible x-values which will make the function "work", and will output real y-values.
so the given is already the domain
x is less than or equal to 1

4 0

3 years ago

In this figure, AB || CD and m/1 = 110° A 1/2 B 4 3 What is mZ5? 5/6 8 7

Vsevolod [243]

Answer is 105 degrees.

Explanation:

Given two parallel lines AB and CD and a transversal cutting the two lines.

We know that when a transversal cuts two parallel line,

i) corresponding angles would be equal

ii) Interior angles total to 180

iii) alternate angles are equal.

In the picture given we have corresponding angles as

(2,6) . Hence angle 2 = angle 6.

Angle 6 = 75 (given)

Hence angle 2 =75.

Angles 1 and 2 are supplementary because they form a linear pair.

Hence angle 1 = 180-75

Angle 1 =105

8 0

2 years ago

Kelsey buys a 25-card pack. the card pack includes 5 rare cards and 20 regular game cards. what is the ratio of rare cards to re

Katyanochek1 [597]

1 to 5 ratio if 5 are rare and 20 are not. so for every 1 rare there will be 5 common

7 0

4 years ago

Is it possible for a markup to be 200%? give an example and explain

olganol [36]

Answer:

If the customers will still buy it, why not?

If a storekeeper buys an item from a supplier for $10.00, and sells it for $20.00, the markup would be 200%.

* * * * *

Not true.

The value of the mark up in the above example is $10.00 which, given a cost of $10.00, is a 100% mark up. A 200% mark up of an item costing $10.00 would entail a "profit" of $20.00 giving a total price of $30.00

Step-by-step explanation:

5 0

3 years ago