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2 years ago

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The number of customers that visit a local small business is 46,900 and has been continuously declining at a rate of 3.2% each y

ear. What is the approximate number of customers that visit the business in 8 years?

1 answer:

anygoal [31]2 years ago

4 0

V=Vo (1-r/100)^n
V=46900(1-3.2/100)^8
V=46900(96.8/100)^8
V=46900*(.968)^8
V=36155.61
V=36155(approx)

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Ming throws a stone off a bridge into a river below.

AURORKA [14]

Answer:

1 seconds after being thrown, the stone reaches its max height

Step-by-step explanation:

The parabolic (quadratic) equation is:

$h(x)=-5(x-1)^2+45$

Lets expand this in the form $ax^2+bx+c$ , so we have:

$h(x)=-5(x-1)^2+45\\h(x)=-5(x^2-2x+1)+45\\h(x)=-5x^2+10x-5+45\\h(x)=-5x^2+10x+40$

We can say the values of a,b, and c, now to be:

a = -5

b = 10

c = 40

The number of seconds at which the max would occur is given by the point, x, at:

$x=-\frac{b}{2a}$

We know a and b, let's find the seconds, x,

$x=-\frac{b}{2a}=-\frac{10}{2(-5)}=-\frac{10}{-10}=--1=1$

Hence,

1 seconds after being thrown, the stone reach its max height

6 0

3 years ago

Read 2 more answers

Find all of the eigenvalues λ of the matrix A. (Hint: Use the method of Example 4.5 of finding the solutions to the equation 0 =

Svetradugi [14.3K]

Answer:

$\lambda=8,\ \lambda=-5$

Step-by-step explanation:

<u>Eigenvalues of a Matrix</u>

Given a matrix A, the eigenvalues of A, called $\lambda$ are scalars who comply with the relation:

$det(A-\lambda I)=0$

Where I is the identity matrix

$I=\left[\begin{array}{cc}1&0\\0&1\end{array}\right]$

The matrix is given as

$A=\left[\begin{array}{cc}3&5\\8&0\end{array}\right]$

Set up the equation to solve

$det\left(\left[\begin{array}{cc}3&5\\8&0\end{array}\right]-\left[\begin{array}{cc}\lambda&0\\0&\lambda \end{array}\right]\right)=0$

Expanding the determinant

$det\left(\left[\begin{array}{cc}3-\lambda&5\\8&-\lambda\end{array}\right]\right)=0$

$(3-\lambda)(-\lambda)-40=0$

Operating Rearranging

$\lambda^2-3\lambda-40=0$

Factoring

$(\lambda-8)(\lambda+5)=0$

Solving, we have the eigenvalues

$\boxed{\lambda=8,\ \lambda=-5}$

8 0

3 years ago

Match the like terms please!! giving brainliest to the right answer

evablogger [386]

Answer:

5x=256x

5xy= -xy

(3rd) -2x^2y=4x^2y(1st)

5y=3y

(5th) x^2y^2=(3rd) 2x^2y^2

(6th) 3y^2= 5y^2(5th)

Step-by-step explanation:

Hope you understand. Please mark as the brainliest.

5 0

2 years ago

A gallon of gasoline cost 2.96. Your car has a 25 gallon gas tank and can travel 28.8 miles on each gallon of gasoline. How much

geniusboy [140]

<h2>Greetings!</h2>

Answer:

It would cost 47.36

Step-by-step explanation:

First, you need to find out how many gallons are needed to fill the tank. To do this, simply multiply 25 by the fraction that is how much is already in there:

25 x $\frac{3}{8}$ = 9.375

So that means that there is 9.375 gallons already in the tank. To find the amount needed to fill the tank:

25 - 9.375 = 15.625

So 15.625 gallons are needed, rounded up to 16 gallons because you cannot get a decimal value of gallons.

That means that 16 x the price = the amount to fill the tank:

16 x 2.96 = 47.36

So it would cost 47.36 to fill the tank!

<h2>Hope this helps!</h2>

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3 years ago

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1. Angle DEF

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3 years ago