A home decrease in value from $520,000 to $475,000. What is the percent decrease for the house

Your bill from Acme Supply Company is marked "3/15, net 30." The amount of the bill is $289.95. If you pay the bill within 15 da

Sonbull [250]

Answer:

$8,698.50

Step-by-step explanation:

289.95x30= $8,695.50

6 0

2 years ago

A dozen bran muffins cost $9.48. Which equation represents the cost, y, of x muffins

swat32

Answer:

12y+9.48x=0

Step-by-step explanation:

Note dozen means 12 in mathematics

So 12 muffins cost $9.48

X muffins cost $y

So let's cross multiply

12×y=9.48×x

12y=9.48x

Substrate 9.48x from both sides

12y-9.48x=0

So the final equation is 12y-9.48x=0

6 0

2 years ago

A real estate agent has 17 properties that she shows. She feels that there is a 50% chance of selling any one property during a

Likurg_2 [28]

Answer:

0.0011 = 0.11% probability of selling less than 3 properties in one week.

Step-by-step explanation:

For each property, there are only two possible outcomes. Either they are sold, or they are not. The chance of selling any one property is independent of selling another property. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

A real estate agent has 17 properties that she shows.

This means that $n = 17$

She feels that there is a 50% chance of selling any one property during a week.

This means that $p = 0.5$

Compute the probability of selling less than 3 properties in one week.

This is

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{17,0}.(0.5)^{0}.(0.5)^{17} \approx 0$

$P(X = 1) = C_{17,1}.(0.5)^{1}.(0.5)^{16} = 0.0001$

$P(X = 2) = C_{17,2}.(0.5)^{2}.(0.5)^{15} = 0.0010$

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0 + 0.0001 + 0.0010 = 0.0011$

0.0011 = 0.11% probability of selling less than 3 properties in one week.

5 0

2 years ago

How do you do inequalities

sineoko [7]

Answer:

See description below.

Step-by-step explanation:

An inequality is an equation with more than one solution and they use <, >, $\leq$ or $\geq$ . There are a number of ways to work with inequalities.

Solving: To solve inequalities in one variable, treat it just like an equation. Solve using inverse operations. If you divide or multiply by a -1 then be sure to flip the sign. For example, if you have > then it becomes <.

Graphing on a number line: To graph inequalities in one variable, use a number line. Plot a point on the number line with an open circle then an arrow pointing toward the solution set. If you have an equal to, you would shade in the open circle.

Solving: To solve inequalities in two variables, you need a system meaning more than one. You solve it like a system of equations by graphing.

Graphing: To graph inequalities with two variables, graph each in y=mx+b form using the y-intercept and slope. Connect the points with a dashed line unless equal to. Equal to inequalities have a solid line. To show the solution set, shade the side of the inequality which (x,y) points make it true. To find this, test a point by substituting into the inequalities.

5 0

2 years ago

Shota invests $2000 in a certificate of deposit that earns 2%, percent in interest each year. Write a function that gives the to

suter [353]

For this case we have a function of the form:
y = A (b) ^ t
Where,
A: initial amount
b: growth rate
t: time
Substituting values we have:
V (t) = 2000 (1.02) ^ t
Answer:
a function that gives the total value V (t) in dollars, of the investment t years from now is:
V (t) = 2000 (1.02) ^ t

7 0

2 years ago

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