Every day the Washington pet store uses 3/4 of a bag of dog food to feed the dogs his many days will 1 1/2 bags of dog food last

Given:

Annual interest rate = r⁡​%

Growth factor : x = 1 + r⁡​

The below function gives the amount in the account after 4 years when the growth factor is x⁡​ ⁣⁣.

[tex]A(x)=800x^4+350x^3+500x^2+600x[/tex]

To find:

The total amount in the account if the interest rate for the account is 3% each year and initial amount.

Solution:

Rate of interest = 3% = 0.03

Growth factor : x = 1 + ⁡0.03 = 1.03

We have,

[tex]A(x)=800x^4+350x^3+500x^2+600x[/tex]

Substitute x=1.03 in the given function, to find the total amount in the account if the interest rate for the account is 3% each year.

[tex]A(1.03)=800(1.03)^4+350(1.03)^3+500(1.03)^2+600(1.03)[/tex]

[tex]A(1.03)=800(1.12550881)+350(1.092727)+500(1.0609 )+618[/tex]

[tex]A(1.03)=900.407048+382.45445+530.45+618[/tex]

[tex]A(1.03)=2431.311498 [/tex]

[tex]A(1.03)\approx 2431.31 [/tex]

Therefore, the total amount in the account is 2431.31 if the interest rate for the account is 3% each year.

For initial amount the rate of interest is 0.

Growth factor : x = 1 + ⁡0 = 1

Substitute x=0 in the given function to find the initial amount.

[tex]A(1)=800(1)^4+350(1)^3+500(1)^2+600(1)[/tex]

[tex]A(1)=800+350+500+600[/tex]

[tex]A(1)=2250[/tex]

Therefore, 2250 was put into the account at the beginning.

Subtract the difference:

14,649 - 2389 = 12,260

Divide that by 2

12,260 / 2 = 6,130

That is the number of shows for B.

For A add the 2,389 to the number of shows for B

2389 + 6130 = 8,519

Show A = 8,519

Show B = 6,130

Answer:

14,649 - 2389 = 12,260

Divide that by 2

12,260 / 2 = 6,130

That is the number of shows for B.

For A add the 2,389 to the number of shows for B

2389 + 6130 = 8,519

Show A = 8,519

Show B = 6,130

Step-by-step explanation:

Answer:

x =(-1+√-15)/2=(-1+i√ 15 )/2= -0.5000+1.9365i

Step-by-step explanation:

I got two answers

MN and QR

Hope it helps...

Answer:

D. Replace f(x) with y

Step-by-step explanation:

apex

Yoshi needs to find the inverse of f(x) = 5x – 2. The first step is to Switch x and y. The correct answer is option C.

In mathematics, an inverse function is a function that "undoes" the actions of another function. If a function f(x) maps an input x to an output y, the inverse function, denoted as f^(-1)(x) or sometimes written as f(x)^(-1), maps the output y back to the original input x. The correct answer is option C.

To find the inverse of a function, the first step is to switch the x and y variables. In this case, the function is f(x) = 5x - 2.

To find the inverse, we need to switch x and y, so the new function becomes x = 5y - 2.

It's important to note that not all functions have an inverse. A function must be one-to-one (each input maps to a unique output) for an inverse to exist. Additionally, the domain and range of a function and its inverse are swapped.

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Answer:

The answer to your question is given below.

Step-by-step explanation:

To know the correct answer to the question, do the following:

√12 + √108

= 12^½ + 108^½

= 4^½ • 3^½ + 36^½ • 3^½

Factorise

3^½ (4^½ + 36^½)

Recall:

4^½ = √4 = 2

36^½ = √36 = 6

Therefore,

3^½ (4^½ + 36^½) = 3^½ (2 + 6)

= 3^½ • 8

Answer:

–(14 – 7x) 7(x – 2)3x – 14 + 4x

Step-by-step explanation:

Answer:

The answers are c, d, and e

Step-by-step explanation:

Answer:

1.92 litres

Step-by-step explanation:

1l=1000ml

1 jar=240ml=0.24l

8 jars= 240x8=1920ml=1.92l

Answer:

4/5

Step-by-step explanation:

80-16=64 (you have 64 candies left)

64/80 (the fraction of the amount of candies you have left)

4/5 (simplify the fraction - divide the top and bottom by 16)

Answer:

-189

Step-by-step explanation:

Remember to follow the rules of signs:

- If there are two positive signs next to each other, you add:

- If there is one negative sign and one positive sign next to each other, you subtract.

- If there is two negative signs next to each other, you add:

- 412 - (-223) = -412 + 223

Subtract:

223 - 412 = -189

-189 is your answer.

~

Answer:

12x7y3

----------- = 6x4y3

 6x3y

Step-by-step explanation:

In dividing these numbers, you simply subtract 6x from 12x and subtract 3y from 7y because 6x and 3y are both in the denominator. 3 is left alone.

Answer:

The answer is 5 and -5.

Step-by-step explanation:

Answer:

not sure, sorry try googling it thats all i can answer

Answer: Juan Ramirez made $185.00

Step By Step Explanation:

For the first 10 suits he made $12.50 each suit, then he made $20 for the additional 3.  

250*.05=12.50

250*.08=20

12.50*10=125

3*20=60

125+60=185.

Answer:

X=58

Y=32

Step-by-step explanation:

Right angle is 90°

90-58=32

The one thats 58° is opposite on x so they are th same what means y is 32°

Answer:

sold at 2880 profit of 480

Step-by-step explanation:

[tex]solution \: (a) \:: [/tex]

[tex] \frac{1}{7} x = 1[/tex]

[tex]x = 7[/tex]

[tex] solution \: (b) \:: \\ x \times \frac{1}{11} = 1[/tex]

[tex]x = 11[/tex]

[tex]solution \: (c) \:: [/tex]

[tex]1 \div \frac{1}{5} = x[/tex]

[tex]x = 5[/tex]

Answer:

1. x=0 y=-20

2. x=0 y=7.5

Step-by-step explanation:

Answer:

you will know the answer by fractioning the 35and 55 then mutipy by 15 once you do that then it is the anwer you should get 5927.487

Step-by-step explanation:

Answer:

P(x) = $50.00*x     if    0 ≤ x ≤ 5

P(x) = $48.00*x     if     5 < x

Step-by-step explanation:

A piecewise function is a function that acts differently in different regions of the domain.

In this case we know that:

P = $50.00 per piece if the number of pieces is less or equal than 5.

P = $48.00 per piece if the number of pieces is more than 5.

Then if we define our variable x as the number of pieces of chocolate, we can write the price function as:

P(x) = $50.00*x     if    0 ≤ x ≤ 5

P(x) = $48.00*x     if     5 < x

Answer:

300m

Step-by-step explanation:

20 Times 15=300

The maximum amount you can get from your mother is $30, while the most amount you can get from your sister is $21, but the dice is the better bargain.

Binomial distributions consist of n independent Bernoulli trials.

Bernoulli trials are those trials that end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))

Suppose we have random variable X pertaining to a binomial distribution with parameters n and p, then it is written as

[tex]X \sim B(n,p)[/tex]

The probability that out of n trials, there'd be x successes is given by

[tex]P(X =x) = \: ^nC_xp^x(1-p)^{n-x}[/tex]

The expected value of X is:

[tex]E(X) = np\\[/tex]

You need to borrow money for gas, so you ask your mother and your sister.

You can only borrow money from one of them.

Before giving you money, they each say they will make you play a game. Your sister says she wants you to flip a fair coin.

She will give you $9 for heads and $21 for tails.

Your mother says she wants you to roll a six-sided die.

She will give you $5 times the number that appears on the die.

The expected value for a coin will be

[tex]E(X) = 1 \times 0.5 = 0.5[/tex]

The expected value for a dice will be

[tex]E(X) = 1 \times \dfrac{1}{6} = 0.1667[/tex]

You can easily receive $9/$21 from your sister, but it won't be as much as the dice, and you'll take a bigger risk with the dice because it has six sides.

The maximum amount you can get from your mother is $30, while the most amount you can get from your sister is $21, but the dice is the better bargain.

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Answer:

I think the third one I'm not sure tho

Answer:95,826

Step-by-step explanation:

Answer:

There are no repeating digits

Answer:

11 Squares are there in 11 squares

Answer:

11

Step-by-step explanation:

because take your question and realize you put, "How many squares are in the 11 squares?"

(Sry if wrong or information misunderstood!)

Answer:

Step-by-step explanation:

(x+10)(3x+10) they are linear pair

means adds up and equates to 180

x + 10 + 3x + 10 = 180

4x + 20 = 180

x = 160 / 4

x = 40

Answer:

26

Step-by-step explanation:

Fifteen minues negative eleven equals to twenty six. Hope this helps and good luck with your assignment.

15-(-11)=26

The value of x is 26 .

Given,

-11+blank equals 15 .

Now,

Let the number in the blank be x .

So, rewriting the equation with x,

-11 + x = 15

Now combine the like terms,

x = 11 + 15

x = 26

Thus the blank is equal to 26 .

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Answer:

dy/dx = (2t + 3t²) / (2t)

Step-by-step explanation:

y = t² + t³

dy/dt = 2t + 3t²

x = 5 +t²

dx/dt = 2t

dy/dx = (dy/dt) / (dx/dt)

dy/dx = (2t + 3t²) / (2t)

Answer:

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\[/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-3, 5) and (7, -1)

The distance between them is

[tex]d = \sqrt{ ({ - 3 - 7})^{2} + ({5 + 1})^{2} } \\ = \sqrt{( { - 10})^{2} + {6}^{2} } \\ = \sqrt{100 + 36} \: \: \: \: \: \: \: \\ = \sqrt{136} \\ = 2 \sqrt{34} \\ = 11.66190378...[/tex]

We have the final answer as

Hope this helps you

Answer:

The proportion of people who can correctly match a dog to their owner (out of two options) is better than just guessing.

Step-by-step explanation:

In this case we need to test whether the proportion of people who can correctly match a dog to their owner (out of two options) is better than just guessing.

The hypothesis can be defined as follows:  

H₀: The proportion of people who can correctly match a dog to their owner is 50%, i.e. p = 0.50.  

Hₐ: The proportion of people who can correctly match a dog to their owner is more than 50%, i.e. p > 0.50.  

The information provided is:  

[tex]x=14\\n=16[/tex]

The sample proportion is:

[tex]\hat p=\frac {x}{n}=\frac{14}{16}=0.875[/tex]

Compute the test statistic value as follows:  

[tex]z=\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

  [tex]=\frac{0.875-0.50}{\sqrt{\frac{0.50(1-0.50)}{16}}}\\\\=3[/tex]

The test statistic value is 3.  

The decision rule is:  

The null hypothesis will be rejected if the p-value of the test is less than the significance level.  

Compute the p-value as follows:

[tex]p-value=P(Z>3)\\\\=1-P(Z<3)\\\\=1-0.99865\\\\=0.00135\\\\\approx 0.0014[/tex]

The p-value is, p-value = 0.0014.

The p-value of the test is very small for all the commonly used significance level. The null hypothesis will be rejected.

Thus, there is not enough evidence to support the claim.

Conclusion:

The proportion of people who can correctly match a dog to their owner (out of two options) is better than just guessing.