HELP pls help me with this problem.

HELP Pls Help Me With This Problem.

Answers

Answer 1

Answer:

8units

Step-by-step explanation:

area of a triangle=1/2base x height

1/2×4×4

2×4

8units

Answer 2
The answer is 8 unit I hope it helps

Related Questions

In Sean's class there are 13 boys and 16 girls. Sean will randomly pull one of their names out of a hat to give
a presentation to the class. Which of the following is the probability the student picked will be a girl?
(1) 0.45
(3) 0.62
(2) 0.55
(4) 0.81

Answers

Answer:

0.62

Step-by-step explanation:

it is because the number of girls in the class is larger than the number of boys in the class which means the probability is high

The probability of picking a girl is 0.55.

What is probability?

'Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.'

According to the given problem,

Number of boys = 13

Number of girls = 16

Total number of students = 13 + 16

                                          = 29

Probability = [tex]\frac{Favorable events}{Total number of events}[/tex]

                  = [tex]\frac{16}{29}[/tex]

                  = 0.55

Hence, we can conclude, the probability of picking a girl is 0.55.

Learn more about probability here: https://brainly.com/question/9793303

#SPJ2

As an enrichment treat, your school has been given 63 tickets to go to a local theme park for FREE! You need to work out who is getting the tickets. The Principal decides that each of the eight classes in your school will get the same number of tickets. How many tickets will each class get and how many will be left over?​

Tickets per class answer:​

Remaining tickets answer:​
please explain

Answers

Tickets per class = 7

63 / 8 = 7 remainder 7

7 x 8 = 56 so there are 7 tickets remaining

Grahsm and Ahir share £30 in the ratio 3 : 1. Work out how much money Graham gets?

Answers

Answer:

Graham gets 3/4 of the money, or £22.50 and Ahir gets 1/4 of it:  £7.5.

Step-by-step explanation:

Add 3 and 1:  3 + 1 = 4.

Then Graham gets 3/4 of the money, or £22.50 and Ahir gets 1/4 of it:  £7.5.

Check:  is the ratio

£22.5

---------- equal to 3:1?  YES

 £7.5

Do  £7.5 and £22.5 sum up to   £30?  YYES

---------- =

-----

The graph of an equation with a negative discriminant always has which characteristic?

Answers

Answer:

The graph does not intercept the x-axis

Step-by-step explanation:

Hi there!

When the discriminant is positive, it means that in the quadratic equation, you can take the square root of this number and end up with two distinct solutions, one negative and one positive. The graph will intercept the x-axis twice.

When the discriminant is zero, it means that you won't be taking the square root of any number in the quadratic equation and you'll end up with two solutions that are equal, or just one distinct solution. The graph will intercept the x-axis once.

When the discriminant is negative, it means that the quadratic has no real solutions, meaning that it does not intercept the x-axis. It is impossible to take the square root of a negative number.

I hope this helps!

from a ship at sea,the angle of elevation of the top and. bottom a vertical lighthouse standing on the edge of a vertical cliff are 31° abd 26°, respectively. if the light house is 25.0m high,calculate the height of the cliff​

Answers

[tex]<marquee>Give:/u Name[/tex]

Find the equation of a line that is parallel to y = 5x + 1 and passes through the point (3, -4).
Give your answer in the form y = mx + b.

Answers

Given:

The equation of a line is:

[tex]y=5x+1[/tex]

A line is parallel to the given line and passes through the point (3,-4).

To find:

The equation of the line in the slope intercept form.

Solution:

The slope intercept form of a line is:

[tex]y=mx+b[/tex]             ...(i)

Where, m is the slope and b is the y-intercept of the line.

We have,

[tex]y=5x+1[/tex]                ...(ii)

On comparing (i) and (ii), we get

[tex]m=5[/tex]

Slope of the given line is 5.

We know that the slopes of parallel lines are equal. So, the slope of the required line is 5.

The required line passes through the point (3,-4) with slope 5. So, the equation of the required line is:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-(-4)=5(x-3)[/tex]

[tex]y+4=5(x)+5(-3)[/tex]

[tex]y+4=5x-15[/tex]

Subtracting 4 from both sides, we get

[tex]y+4-4=5x-15-4[/tex]

[tex]y=5x-19[/tex]

Therefore, the equation of the required line is [tex]y=5x-19[/tex].

9) The Venn diagram shows the number of elements in sets A, B and C.
B
12 -
13
14
20 -
13
8
a) n(AUBUC) = 74
Find x
b) n(E)=100
(3)
Find y
(1

Answers

Answer:

The value of x is 4.

The value of y is 26.

Step-by-step explanation:

Here in qn a)

It has been given that n(AUBUC)=74

So we just add all components of n(AUBUC) and add it in an equation which equals to 74;

13 + 12 - x + x + 20 - x + 15 - x + 8 + 14 = 74

82 - 2x = 74

82 - 74 = 2x

8 = 2x

4 = x

So x is 4.

Now for qn b)

It has already been given that n(AUBUC) = 74 and n(U) = 100

so to find y we simply substract n(AUBUC) from n(U)

y = n(U) - n(AUBUC)

= 100 - 74

=26

Just ask me in the comments if you have any questions.

Pls omg fast
Baked beans height is 11 and from down its 3.5

Answers

I assumed you meant the radius is 3.5?

The answer is in the picture below.

What is the average rate of change of the function f(x)=2x^2+x+5 over the interval -2<x<2?
A. -4
B. -1
C. 1
D. 4​

Answers

D 1 is the correct answers

Answer:

C

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ - 2, 2 ] , then

f(b) = f(2) = 2(2)² + 2 + 5 = 8 + 2 + 5 = 15

f(a) = f(- 2) = 2(- 2)² + (- 2) + 5 = 8 - 2 + 5 = 11 , then

average rate of change = [tex]\frac{15-11}{2-(-2)}[/tex] = [tex]\frac{4}{4}[/tex] = 1 → C

Here is some information about a group of 20 children.
Boys
Girls
Left-handed
3
2
Right-handed
9
6
A child is chosen at random from the group.
a)
What is the probability that the chosen child is a girl?
Give your answer as a fraction.
b)
What is the probability that the chosen child is a left-handed girl?
Give your answer as a fraction.​

Answers

Answer:

a) 8/20 = 8 is the total of the girls and 20 is the total of the kids

b)2/20 = 2 is the total of girls that are left handed and 20 is the total of the kids

Determine the relationship between the two triangles and whether or not they can be proven to be congruent.

Answers

Answer:

Side-Angle-Side is a rule used to prove whether a given set of triangles are congruent. The SAS rule states that: If two sides and the included angle of one triangle are equal to two sides and included angle of another triangle, then the triangles are congruent

Step-by-step explanation:

mark me as BRAINLIEST

follow me

carry on learning

Please help!

Danielle is trying to solve the equation 8^x= 1/64. Explain in detail how Danielle should solve this problem. Then solve it step by step showing all your work and tell Danielle what the answer should be.

Answers

Answer:

x = -2

Step-by-step explanation:

Given equation:

8^x= 1/64

Ensure both sides of the equation are in power format by changing 1/64

1/64 = 64^-1

8^x = 64^-1

2^3(x) = 2^6(-1)

The bases will cancel out each other

3(x) = 6(-1)

3x = -6

x = -6/3

x = -2

Check

8^x = 1/64

x = -2

8^-2

= 1/8²

= 1/8*8

= 1/64

5. Of the quadratic functions shown below, which has imaginary zeroes?
(1)
(3)
(2)
(4)

Answers

Your answer to the question is 4

(6√2)(-3√5)
whats the answer

Answers

Answer:

- 18[tex]\sqrt{10}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

Given

(6[tex]\sqrt{2}[/tex] )(- 3[tex]\sqrt{5}[/tex] )

= 6 × - 3 × [tex]\sqrt{2}[/tex] × [tex]\sqrt{5}[/tex]

= - 18 × [tex]\sqrt{10}[/tex]

= - 18[tex]\sqrt{10}[/tex]

The answer is -18,/10

Lorenzo bought several pounds of chocolate-covered peanuts and
gave the cashier a $20 bill. Write an expression for the amount of change he will
receive if p represents the cost of the peanuts

Answers

Answer:

20 - p

Step-by-step explanation:

If p represents the cost of the peanuts, it has to be subtracted from 20 to find how much change Lorenzo will receive.

So, set up the expression:

20 - p

The expression to represent how much change he will get is 20 - p

Can someone please help me, someone who's serious lol. PLEASE
(also please label the ones you answered)

Answers

Question 11.4.10

Add up everything in the first row

13+31+24 = 68

We have 68 people with high school only education. Out of this group, 24 are conservative

So we have 24/68 = 6/17 represent the probability of selecting a conservatives person given they have high school only education.

Answer:  6/17

=======================================================

Question 11.4.15

There are 269+485 = 754 males.

Of this group, 485 are not associates.

Therefore, 485/754 = 0.64 approximately

We focus on the males only because of the phrasing "given that the recipient is male".

Answer:  0.64

=======================================================

Question 11.4.16

Refer to the diagram below. Let's say we had 1000 people surveyed. This means we have 1000 in the bottom right corner to represent the grand total.

40% have a pet now currently and also had a pet in the past, so we have 0.40*1000 = 400 people go in the upper left corner of the table. This is the "have a pet now" row and "had a pet in the past" column.

60% do not have a pet now, so 600 people don't have a pet currently. This is the total for row 2. This must mean 1000-600 = 400 people do have a pet currently. This is the total for row 1.

The missing value in row 1 must be 0 because 400+0 = 400. Also, if a person has a pet now, they likely had it in the past as well. To be honest, the wording to set up the time scale for this problem is vague. What does it mean "in the past"? Do the researchers mean in the previous month? Year? It's not clear. Anyway, the first row consists of 400, 0 and 400 in that order.

----------------------

Then we're told that 85% have had a pet in the past. So 0.85*1000 = 850 people had a pet in the past. This goes at the bottom of the "had a pet in the past" column. This leaves 1000-850 = 150 people who didn't have a pet in the past.

Lastly, 15% of the 1000 people surveyed don't have a pet in the present and they didn't have it in the past either. Since 15% of 1000 = 0.15*1000 = 150, we will write 150 in the second entry of row 2. Notice how 0+150 = 150 for the second column. Every row should add up to the entry in the "total" column, and every column should add up to the entry in the "total" row to help check we have the correct table set up. Lastly, notice how 400+600 = 1000 and 850+150 = 1000 to further verify the table.

----------------------

By this point, the table is completely filled out. We're told "given the respondent had a pet". We only focus on the "had a pet in the past" column. 400 people have a pet now out of 850 who had a pet in the past.

Therefore, 400/850 = 0.47 approximately

Answer: 0.47

A manager hires labour and rents capital equipment in a very competitive market. Currently the wage rate is GH¢2 per hour and capital is rented at GH¢5 per hour, the unit price of the product is GH¢0.25 and total cost is 1000. Suppose the firm's production function is as follows: � = 14�*.,�*., + 10 i. What is the amount of labour and capital the firm should employ in order to maximize output? [Hint: Maximise the product function subject to the cost constraint] ii. What is the maximum profit?

Answers

Solution :

It is given that the manager hires a labor and he rents the capital equipment [tex]\text{in a very competitive market}[/tex].

Presently the rate of the wage is at $ 10 per hour and the capital is been rented at $ 0.25. If the [tex]\text{marginal product}[/tex] of the labor is 50 units of the output per hour and the marginal.

Therefore, the answer is

14 + 10 = 24

The graphs below have the same shape. What is the equation of the blue
graph?
F(X) = x2
5
G(X) = ?
5
G(X) =

Answers

Answer:

[tex]g(x) = (x - 2)^2 + 1[/tex]

Step-by-step explanation:

Given

[tex]f(x) = x^2[/tex]

Required

Determine g(x)

f(x) represents the parent function. And from the graph, we have:

[tex]f(x) = x^2[/tex]

f(x) is first shifted 2 units right.

The rule is:

[tex]f'(x) = f(x - 2)[/tex]

So, we have:

[tex]f'(x) = (x - 2)^2[/tex]

Next, f'(x) is shifted 1 unit up to give g(x), the blue graph.

The rule to this is:

[tex]g(x) = f'(x) + 1[/tex]

[tex]g(x) = (x - 2)^2 + 1[/tex]

Solve the equation 5x - 10 = 25
please tell me the working

Answers

Answer:

x = 7

Step-by-step explanation:

5x - 10 = 25

shift -10 to the other side then -10 become plus 10

5x = 25 + 10

now do addition in right hand side

5x = 35

shift 5 to right hand side . 5 divides 35 because in multiplication when u shift number or variables to other side it changes to division)

x = 35/5

x = 7

The solution to the equation 5x - 10 = 25 is x = 7.

To solve the equation 5x - 10 = 25, we want to isolate the variable 'x' on one side of the equation.

First, we can start by getting rid of the constant term on the left side of the equation. We do this by adding 10 to both sides:

5x - 10 + 10 = 25 + 10

This simplifies to:

5x = 35

Next, we want to isolate 'x' by dividing both sides of the equation by the coefficient of 'x', which is 5:

5x/5 = 35/5

This yields:

x = 7

Therefore, the solution to the equation 5x - 10 = 25 is x = 7. We can verify this by substituting x = 7 back into the original equation:

5(7) - 10 = 25

35 - 10 = 25

25 = 25

Since the equation holds true, we can conclude that x = 7 is the solution.

To learn more about the linear equation;

https://brainly.com/question/29739212

#SPJ6

Select ALL of the expressions that are 27 equivalent (equal) to: 27/-3

(Select all that apply.)

1.9
2. -27/3
3. -27/-3
4. -3×(27)
5.-9​

Answers

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {(2).\: \: \frac{ - 27}{3}\:and\: (5).\: - 9 }}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex] \frac{27}{ - 3} [/tex]

2. [tex] \: \frac{ - 27}{3} [/tex] ✔

5. [tex] - 9[/tex] ✔

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Mystique35♨}}}}}∘[/tex]

If the profit is the difference between the revenue and the cost, what expression represents the profit? 3x – 260 3x + 140 5x – 260 5x + 140

Answers

Answer:

[tex]P =5x-260[/tex]

Step-by-step explanation:

Given

[tex]R = 3x^2 + 4x - 60[/tex] --- Revenue

[tex]C = 3x^2 - x + 200[/tex] --- Cost

Required

The expression for profit (P)

This is calculated as:

[tex]P =R - C[/tex]

So, we have:

[tex]P =3x^2 + 4x - 60 - (3x^2 -x+200)[/tex]

Open bracket

[tex]P =3x^2 + 4x - 60 - 3x^2 +x-200[/tex]

Collect like terms

[tex]P =3x^2 - 3x^2+ 4x +x- 60-200[/tex]

[tex]P =5x-260[/tex]

If the profit is the difference between the revenue and the cost, 5x – 260  expression represents the profit. Correct option is 3.

The profit is calculated by subtracting the cost from the revenue. In mathematical terms, the profit (P) can be represented as:

Profit (P) = Revenue - Cost

Among the given options:

1. 3x - 260

2. 3x + 140

3. 5x - 260

4. 5x + 140

We need an expression where the first term represents the revenue and the second term represents the cost, so that when we subtract the cost from the revenue, we get the profit.

Option 3, 5x - 260, fits this pattern:

- Revenue: 5x

- Cost: 260

When we subtract the cost from the revenue:

Profit (P) = Revenue - Cost = 5x - 260

So, option 3, 5x - 260, is the expression that represents the profit.

To know more about profit:

https://brainly.com/question/24093318

#SPJ3

Complete question is:

If the profit is the difference between the revenue and the cost, what expression represents the profit?

1. 3x – 260

2. 3x + 140

3. 5x – 260

4. 5x + 140

Given the following information, determine which lines are parallel and what justifies them being parallel.

Answers

Answers:

Blank 1 = p and r

Blank 2 = corresponding angles converse

==========================================================

Explanation:

Refer to the diagram below. I've marked lines p and r in red, and the angles 3 and 22 in blue. They are corresponding angles because they are both in the same southeast corner of their four-corner configuration.

If the corresponding angles are congruent, then the lines p and r are parallel by the aptly named corresponding angles converse

I dont understand this problem. Could someone explain it to me?

Answers

Answer:

additive property

Step-by-step explanation:

it is because when you ADD the angles it is EQUAL to the answer

Check whether (0, -2) is solution of the equation x - 2y = 4 or not.

Answers

Answer: Yes, it is a solution

===================================================

Explanation:

Any ordered pair, aka point, is of the form (x,y)

x is always listed first

The point (0,-2) means x = 0 and y = -2 pair up together

Let's plug them into the equation and simplify everything

x-2y = 4

0-2(-2) = 4

0+4 = 4

4 = 4

We end up with a true statement since we get the same thing on both sides, therefore the original equation is true for (x,y) = (0,-2)

(0,-2) is a solution to the given equation

Phrased another way: the point (0,-2) is on the line x-2y = 4. This point is the y intercept.

Rose and her twin brother decided to carry their juice in the lunch bags. Rose choose the tin juice that holds 472ml. Her brother took the bottled juice that contains 1/2 litre. Which of the two had more juice and by how much?

Answers

Answer:

Her brother had more juice by 28 mL

Step-by-step explanation:

Convert the 1/2 liter bottle to mL.

In 1 liter, there are 1000 mL. So, in 1/2 liters, there are 500 mL.

Since Rose's tin juice only holds 472 mL, her brother had more juice.

Find how much more he had by finding the difference:

500 - 472

= 28

So, her brother had more juice by 28 mL

(2a^6-6a^3)^2 expand and combine like terms

Answers

The answer is 4x^12-24x^9+36x^6

For a more detailed answer, check the picture below.

The fully expanded and simplified expression is:

[tex]4a^12 - 24a^9 + 36a^6.[/tex]

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

To expand [tex](2a^6 - 6a^3)^2[/tex], we can use the formula:

[tex](a + b)^2 = a^2 + 2ab + b^2[/tex]

with [tex]a = 2a^6[/tex] and [tex]b = -6a^3:[/tex]

[tex](2a^6 - 6a^3)^2 = (2a^6)^2 + 2(2a^6)(-6a^3) + (-6a^3)^2[/tex]

[tex]= 4a^12 - 24a^9 + 36a^6[/tex]

Thus,

The fully expanded and simplified expression is:

[tex]4a^12 - 24a^9 + 36a^6.[/tex]

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

1.5 m
7.1 m
7.1 m
V=

Answers

Answer:

75.615 m^3

Step-by-step explanation:

volume is length x width x height

7.1*7.1*1.5

75.615 m^3

Answer:

POINTS

Step-by-step explanation:

Out of 100 students,80 passed the science 71 the mathematics, 10 failed the both subjects and 7 did not appear the an examination.find the number of student who passed the both subject by representing th e above information in a Veen- diagram

Answers

Answer:

ok so first we add 10 plus 7 together since if you don't show up you fail

which is 17

so out of 100 students 17 failed both

now we subtract 71 from 80 to get 9

so we add that together with 17 so

17+9=26 so 26 students failed both

Hope This Helps!!!

11 4/5 divided by 3 1/5

A. 3
B. 3 1/2
C. 7/2
D. 4

( Answer within 5-10 minutes to get brainliest! )

Thank you in advance!
I appreciate it all!

Answers

Answer:

3.5

Step-by-step explanation:

It's technically 3.69 but 3.5 is the closest answer you can get

Please help me.

1. 7/12 ÷ ¾ = ??
2. ¾ ÷ 1/3 = ??
3. ½ ÷ 3/6 = ???
4. 2/3 ÷ 1/6 = ???
5. 7/12 ÷ 1/12 = ???

Answers

Answer:

[tex]1. \: \: \frac{7}{9} [/tex][tex]2. \: \: \frac{9}{4} [/tex][tex]3. \: \: 1[/tex][tex]4. \: \: 4[/tex][tex]5. \: \: 7[/tex]

Step-by-step explanation:

[tex]1. \: \: \frac{7}{12} \div \frac{3}{4} [/tex][tex] \frac{7}{12} \times \frac{4}{3} [/tex][tex] \frac{7}{3} \times \frac{1}{3} [/tex][tex] \frac{7}{3 \times 3} [/tex][tex] \frac{7}{9} [/tex][tex]2. \: \: \frac{3}{4} \div \frac{1}{3} [/tex][tex] \frac{3}{4} \times 3[/tex][tex] \frac{3 \times 3}{4} [/tex][tex] \frac{9}{4} [/tex][tex]2 \frac{1}{4} [/tex][tex]3. \: \: \frac{1}{2} \div \frac{3}{6} [/tex][tex] \frac{1}{2} \times \frac{6}{3} [/tex][tex] \frac{3}{3} [/tex][tex]1[/tex][tex]4. \: \: \frac{2}{3} \div \frac{1}{6} [/tex][tex] \frac{2}{3} \times 6[/tex][tex]2 \times 2[/tex][tex]4[/tex][tex]5. \: \: \frac{7}{12} \times \frac{1}{12} [/tex][tex] \frac{7}{12} \times 2[/tex][tex]7[/tex]Hope it is helpful...
Other Questions
How does the density of water change when: (a) it is heated from 0oC to 4oC; (b) it is heated from 4oC to 10oC ? Jacob drove 450 miles at an average rate of 65 miles per hour. Rounded to the nearest tenth of an hour, how long did the trip take What is the computational next arctic ice phenomenon? please please please help What is the value of angle v? i need help with this on my homework A societys infant mortality rate is an accepted indicator of that societys general health status. Even though in some localities in the United States the rate is higher than in many developing countries, in the United States overall the rate has been steadily declining. This decline does not necessarily indicate, however, that babies in the United States are now, on the average, healthier at birth than they were in the past.Which one of the following reasons, if true, most strongly supports the claim made above about the implications of the decline?(A) The figure for infant mortality is compiled as an overall rate and thus masks deficiencies in particular localities.(B) Low birth weight is a contributing factor in more than half of the infant deaths in the United States.(C) The United States has been developing and has achieved extremely sophisticated technology for saving premature and low-birth-weight babies, most of whom require extended hospital stays.(D) In eleven states of the United States, the infant mortality rate declined last year.(E) Babies who do not receive adequate attention from a caregiver fail to thrive and so they gain weight slowly. Ms.Jane runs a boutique in Jumeirah. She bought 50 m cloth to stitch shirts for her boutique.If one shirt requires 2m 15cm of the cloth then Find the product of -9 and -3.1. 0-32. 273. 0-274. 3 Distribute 5x\left(1+3x\right).5x(1+3x) In the United States, the average public school teacher currently earns an annual salary near $55,202. Reported national average salaries for the last six decades are listed below.Year National AverageTeachers Salary1960 $4,9951970 $8,6261980 $15,9701990 $31,3672000 $41,8072010 $55,202Determine the average salary increase per year between the years 1980 and 1990.$1,539.70$8,367.80$2,566.20$1,004.10A is right Which of these is a feature of Gothic writing that makes it different from otherRomantic genres? what would you determine to be the main concerns of immigration officials regarding potential immigrants? Please help with question 2 The only variable we found that affects the speed of a wave on a string was the tension of the string. How does this relate to how a musician tunes a stringed instrument? [p(pq)] [p(qq)] Another name for NQ is? (Geometry) como decir quieres jugar futbol por fa Who was Rafael Leonidas Trujillo? From what year to what year he was in the Dominican Republic power? Rounding in the calculation of monthly interest rates is discouraged. Such rounding can lead to answers different from those presented here. For long-term loans, the differences may be pronounced.To buy a car, you borrow $27,000 with a term of five years at an APR of 6%. What is your monthly payment? (Round your answer to the nearest cent.)$How much total interest is paid? (Round your answer to the nearest cent.)$