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Marley bought an action figure for $10.99, a board game for $24.95 and a book for $5.99. She paid with a $50 bill. How much chan

Crazy boy [7]

The change she received back would be $8.07

6 0

3 years ago

Read 2 more answers

A bank loans a customer $66,000 for a period of 5 years. the simple interest rate of the loan is 10.5%. what is the total amount

MArishka [77]

66,000*0.15
9,900*5
49,500+66000
The answer is 115.500
I'm not sure if the whole thing is correct, but here is the easier way:
66,000(1+1.15)^5

6 0

3 years ago

15 divided by negative 12

meriva

Answer:

-5/4 or -1.25

Step-by-step explanation:

we use the long division method to find the answer goodluck

8 0

3 years ago

The demand equation for a manufacturer's product is:

Juli2301 [7.4K]

From the given price function, we have;

(a) $\frac{dp}{dq} = - 13$

(b) The point elasticity of demand is 0.0256; inelastic demand

(c) $46.6

(d) Increase

<h3>How can the elasticity of demand be found?</h3>

a. The given function is presented as follows;

$p = 50 \times (151 - q) ^{0.02 \times \sqrt{q + 19} }$

Differentiating the above function with a graphing calculator and setting q = 150 gives;

$\frac{dp}{dq} = - 13$

b. The point elasticity of demand is given by the formula;

$e \: = \frac{dq}{dp} \times \frac{p}{q}$

When q = 150, we have;

P = 50

Which gives;

$e \: = \frac{1}{13} \times \frac{50}{150} = 0.0256$

The point elasticity of demand, E = 0.0256

The demand is inelastic (less than 1) when the quantity demanded is 150 units

c. If the quantity demanded decreases from 150 to 140 units, we have;

$0.0256 \: = \frac{1}{13} \times \frac{p}{140} =$

Which gives;

p = 46.6

The price when the quantity demanded decreases to 140 is $46.6

d. Given that increase in price, from 46.6 to 50, increases the quantity demanded from 140 to 150, therefore;

The manufacturer should increase the price, p to increase the revenue, R.

R = p × q

Learn more about elasticity of demand here;

brainly.com/question/19141990

3 0

2 years ago

Noor brought 21 sheets of stickers. She gave 1/3 of a sheet to each of the 45 students at recess. She wants to give teachers 1 1

Tamiku [17]

Answer:

$\frac{3}{2}t+15\leq 21$

Step-by-step explanation:

Let t represent the number of teachers.

We have been given that Noor gave 1/3 of a sheet to each of the 45 students at recess.

Let us find the number of sheets given to students by Noor by multiplying the total number of students by the part of sheet given to each student.

$\text{Number of sheets given to 45 students}=45\times \frac{1}{3}$

$\text{Number of sheets given to 45 students}=15$

So, Noor gave 15 sheets to 45 students.

We have been given that Noor wants to give $1\frac{1}{2}=\frac{3}{2}$ sheet to each teachers, so the number of sheets given to t teachers will be $\frac{3}{2}t$ .

As Noor has bought 21 sheets, so the number of sheets given to students and t teachers will be less than or equal to 21.

We can represent this information in an inequality as:

$\frac{3}{2}t+15\leq 21$

Therefore, the inequality $\frac{3}{2}t+15\leq 21$ represents the number of teachers ,t, Noor could give sheets of stickers too.

6 0

3 years ago