A little more than 43 million households own dogs in the US. The rate of increase in dog ownership is 1.5% each year. Approximately how many households are expected to own dogs in 10 years, if this trend continues?

Answers

Answer 1

Answer: $K_n=K(1+(r)/(100))^n$
Kn is the value searched
K --> capital
r --> interest rate
n --> number of compounding periods
$K_n=43000000*(1+(1,5)/(100))^1^0$ = 49903255.48

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Is 2 gallons equal to 10 quarts

Answers

no two gallons is 8 quarts

2 gallons would be 8 quarts

4(x+1)-ax=x+5 solve for x

Answers

4(x + 1) - ax = x + 5
4(x) + 4(1) - ax = x + 5
4x + 4 - ax = x + 5
- x - x
3x + 4 - ax = 5
- 4 - 4
3x - ax = 1
x(3) - x(a) = 1
x(3 - a) = 1
3 - a 3 - a
x = 1/(3 - a)

$4(x+1)-ax=x+5$

$4x+4-ax=x+5$ $Expand$

$4x-ax=x+5-4$    $Subtract \ 4 \ from \ both \ sides$

$4x-ax=x+1$

$4x=x+1+ax$    $Add \ ax \ to \ both \ sides$

$4x-x=1+ax$    $Subtract \ x \ from \ both \ sides$

$3x=1+ax$

$3x-ax=1$ $Subtract \ ax \ from \ both \ sides$

$x(3-a)=1$

$x= (1)/(3-a)$

How to you get the mean in math

Answers

The "mean" is the "average" you're used to, where you add up all the numbers and then divide by the number of numbers.

The same sample of 25 seniors from the urban school district with the mean and standard deviation N(450, 100). A 95% confidence interval for µ for the population of seniors with a margin of error of ± 25 is used. What is the smallest sample size we can take to achieve this same margin of error?26

45

50

62

69

Answers

I have some notes here that might help you answer the problem in your own:

The formula to calculate a minimum sample size is as follows:

n = [z*s/E]^2

Where n is the sample size, z is the z value for the level of confidence chosen, s is the estimated standard deviation and E is the allowable error.

I hope my answer has come to your help. God bless and have a nice day ahead!

A culture is grown with a population of 45 million cells. The cell population is found to double every hour. What will the population be after four hours?

Answers

45 million * $2^(4)$ = 45million * 16 = 720million

Or you can use
$y=Ae^(kt)$
A is equal to 45 million
To find the rate, k, we can plug in:
$90million=45million*e^(k*1)$
$2=e^(k)$
$k=ln(2)$
$y=4.5*10^(7)*e^(t *ln2)$
Knowing that t = 4
$y = 4.5*10^(7)*e^(ln(2)*4)$
$y = 720 million$

The population will be 360 million people after four hours

The vertex of this parabola is at (4, -3). When the x-value is 5, the y-value is -6. What is the coefficient of the squared expression in the parabola s equation?

Answers

$The\ vertex\ form:y=a(x-k)^2+h\n\nwhere\ (k;\ h)\ \ are\ coordinates\ of\ vertex\n------------------------\ny=a(x-4)^2-3\n\nthe\ point\ on\ parabola\ (5;-6)\nPut\ x=5\ and\ y=-6\ to\ equation:\n\na(5-4)^2-3=-6\na(1)^2=-6+3\na=-3\n\nAnswer:y=-3(x-4)^2-3=-3(x^2-8x+16)-3\n\n=-3x^2+24x-48-3=-3x^2+24x-51$

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