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2 years ago

Consider the graph of the function f(x)=(1/4)^x. Which statements describe key features of function f?

Mathematics

1 answer:

PolarNik [594]2 years ago

7 0

Answer: Asymptote at y=0; range of 0,infinity; y-intercept of (0,1)

Step-by-step explanation:

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1. 9 students volunteer for a committee. How many different 6-person committees can be chosen?

Semenov [28]

2. A

becasue it say that you randomly ask everyone

5 0

3 years ago

Suppose that the population of a town Increases by 3% each year. the population of the town today is 25,000

jolli1 [7]

Answer:

The population of town after 1 year is 25,750 .

Step-by-step explanation:

Given as :

The rate of increase in the population of town each year = 3 %

The initial population of town = 25,000

Let the population of town after one year = x

So,

The population after n year = initial population × $(1+\dfrac{\textrm rate}{100})^{\textrm n}$

Or, The population after 1 year = 25,000 × $(1+\dfrac{\textrm 3}{100})^{\textrm 1}$

Or, The population after 1 year = 25,000 × $(1.03)^{1}$

Or, The population after 1 year = 25,000 × 1.03

∴ The population after 1 year = 25,750

Hence The population of town after 1 year is 25,750 . Answer

3 0

3 years ago

Evaluate a/b for a = 4/5 and b = -9/2

Temka [501]

Answer:

-8/45

Step-by-step explanation:

we can solve a/b by plugging in the given values and we have the new expression:

4/5 / -9/2

to solve, we can use multiply the two fractions together using KCF which stands for: Keep Change Flip. we keep the first fraction as is, change the division sign into a multiplication, and flip the 2nd fraction to its reciprocal (numerator becomes denominator and denominator becomes numerator)

4/5 / -9/2 becomes:

4/5 × 2/-9 < simply multiply the fraction

4 × 2 = 8

5 × -9 = -45

8/-45 is our new fraction. we cannot simplify this any further so this is our answer which can also be written as -8/45

8 0

3 years ago

Howie wants to get a car loan with 4% simple interest rate. If the car costs $25,000, how much would Howie need to pay back at t

likoan [24]

The amount Howie will pay back at the end of one year is $26000.00

The given parameters are:

$P =25000$ -- the principal amount

$R = 4\%$ -- the interest rate

$T=1$ --- the duration

The amount to pay back in this duration is then calculated using:

$A = P(1 + RT)$

So, we have:

$A = 25000(1 + 4\% \times 1)$

$A = 25000(1 + 4\% )$

Express percentage as decimal

$A = 25000(1 + 0.04)$

$A = 25000(1 .04)\\$

Multiply

$A = 26000$

Hence, the amount to pay back is $26000.00

Read more about simple interest at:

brainly.com/question/1115815

7 0

2 years ago

3 coffees and 4 donuts cost $10.05. In the same cafeteria, 5 coffees and 7 donuts cost $17.15. How much do you have to pay for 4

MakcuM [25]

Answer

You need to pay $14.20 to get 4 coffees and 6 donuts.

Explanation

Let's say that the price of one coffee and x and the price of one donut is y.

In the first instance, 3x+4y=10.05.

In the second instance, 5x+7y=17.15.

You can use these equations to find the value of a coffee and the value of a donut.

We can find x and y using elimination. To do this, you should add or subtract one equation from another to "get rid" of a variable (I'll "get rid" of x). We can't just add or subtract the equations right now, since that wouldn't lead to 0x.

Multiply the first equation by 5, and the second equation by 3. After this, both equations will have 15x. Make sure to multiply each term by 5 and 3.

15x+20y=50.25. This means that 15 coffees and 20 donuts is $50.25.

15x+21y=51.45. This means that 15 coffees and 21 donuts is 51.45.

Now since there are an equal number of coffees, we can subtract these equations.

(15x+21y=51.45)-(15x+20y=50.25) equals y=1.20 (a donut costs $1.20).

Plug the price of the donut into y to find x; 3x+4(1.20)=10.05. The value of x is 1.75. The price of a coffee is 1.75.

You can multiply 1.75 by 4 to find the price of 4 coffees and 1.20 by 6 to find the price of 6 donuts.

1.75*4 is 7.00 and 1.20*6 is 7.20.

You can add those to find the total price; 7.00+7.20=14.20.

5 0

3 years ago