Allie and Sarah decided that they want to purchase renters insurance for the apartment they share. They made a list of all of the items to be covered by the insurance policy, along with their estimated values. If the items to be covered total more than $3000, the insurance company charges an annual premium of 23% of the total value of the items. If the items to be covered total $3000 or less, the insurance company charges an annual premium of 20% of the total value of the items. Using the list of items Allie and Sarah provided, determine their monthly renters insurance premium. Allie's Stuff Sarah's Stuff TV ($250) Stereo ($75) Stereo ($150) Bicycle ($250) CD's ($225) CD's ($130) DVD's ($385) DVD's ($300) Bicycle ($400) IPOD ($80) Microwave ($30) Computer ($675) Laptop Computer ($950) a. $65.00 b. $74.75 c. $325.00 d. $780.00

Answers

Answer 1

Answer:

The answer is b. $ 74.75

Step-by-step explanation:

First, we need to gather the data from the question.

Data:

Let x be the value of items to be insured.

1. if the items are more than $ 3 000 it means that x is greater than  $  3000 and the annual premium will be 23 % of the total value.

2. if the items are less or equal to  $ 3 000, it means that x ≤ $ 3 000 ( in other words, x is less than or equal to $ 3 000)

Second, we find the total worth of all the items. Adding up all the values gives  $ 3900 which is more than $ 3 000. Therefore, rule 1 applies.

The annual premium for the goods will be:

annual premium = 23 % × $ 3900

                          = $ 897

However, the premium is supposed to be paid monthly. Divide the total premium by 12 to get:

$ 897/12 = $ 74.75

This is option c.


Related Questions

What is the value of x in the proportion (x-1)/5=(4x+3)/35

Answers

Answer:

x = 10/3

Step-by-step explanation:

(x - 1)/5*35 = (4x + 3)/35*35

7(x - 1) = 4x + 3

7x - 7 - 4x + 7 = 4x + 3 - 4x + 7

3x/3 = 10/3

x = 10/3

!!! need help!! whats the answer??

Answers

Answer:

i) Therefore option A is Correct.   Δ ECD   [tex]\sim[/tex] Δ ACB by the SAS ( Side Angle Side) Similarity Theorem.

ii) Yes it can be proven that ED || AB after proving that Δ ECD   [tex]\sim[/tex] Δ ACB

Step-by-step explanation:

i) CE = [tex]\frac{1}{2}[/tex] AC ..... given

ii)  CD =  [tex]\frac{1}{2}[/tex] CB .... given

iii)  Therefore [tex]\frac{CE}{AC} = \frac{CD}{CB} = \frac{1}{2}[/tex]

iv)  Angle ACB or ∠C is common to Δ ACB and Δ CED.

v) Therefore from the above 4 equations we can say that by

   SAS theorem the two triangles are similar , that is ,  Δ ECD   [tex]\sim[/tex] Δ ACB .

 Therefore option A is Correct.

 vi)  Yes it can be proven that ED || AB after proving that Δ ECD   [tex]\sim[/tex] Δ ACB.

Since Δ ECD   [tex]\sim[/tex] Δ ACB , therefore ∠CED = ∠CAB  and ∠CDE = ∠CBA.

Therefore we can say that ED is parallel to AB or that ED || AB.

how do you solve 2.14 x - 12.18=5.76

Answers

add 12.18 to 5.76
which leaves 2.14x = 17.94
divide both sides by 2.14
which leaves
X = 8.38318

The value of x in the equation  2.14x - 12.18 = 5.76 is  8.38.

What is an equation?

An equation is written in the form of variables and constants separated by the operation of multiplication and division,

An equation states that terms in different forms on both sides of the equality sign are equal.

Multiplication and division do not separate the terms of an equation.

Given, we have to solve for x or find the value of x in the equation

2.14x - 12.18 = 5.76.

2,14x = 5.76 + 12.18.

2.14x = 17.94.

x = (17.94/2.14).

x = 8.38.

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When is it most appropriate to use the completing the square method to solve a quadratic equation?

Answers

Answer:

Don't forget to include a ± sign in your equation once you have taken the square root. Next, if the coefficient of the squared term is 1 and the coefficient of the linear (middle) term is even, completing the square is a good method to use. Finally, the quadratic formula will work on any quadratic equation.

Step-by-step explanation:

x² + 4x = 15 can be solved best using the completing the square method.

2x(x−3)=0 can be best solved using the zero product property.

(-4-3n).-8
Need help

Answers

*Factoring the Expression

(-4-3n)-8
- Remove parentheses
-4-3n-8
- Calculate
-12-3n
- Factor the Expression

*Simplifying the expression

(-4-3n)-8
- Remove parentheses
-4-3n-8
- Calculate
-12-3n
- Factor Out

1.4x - y = -3
1. {-2x + y = 5

Answers

Answer:

look at shown picture.

Answer:

The answer is 4

Step-by-step explanation:

Why?...Because this is a site where everything is fake and incorrect.

Find the area of the following geometric figure.
Find the area of a triangle with base of 6 m and altitude of 4 m.
Area =
m2

Answers

Find the area of a triangle with base of 6 m and altitude of 4 m.

12

A rancher owns a rectangular piece of land that is 4.1 mi long and 2.5 mi wide. Find the units for the perimeter of the rectangle defined by this ranch

Answers

Answer:

13.1mi

Step-by-step explanation:

Length(l) = 4.1mi

Breadth(b) = 2.5 mi

Perimeter of a rectangle = addition of all sides that is = l + l + b + b as a rectangle has 2 opposite equal length and also breadth.

Therefore perimeter = 4.1 + 4.1 + 2.5 + 2.5

= 8.1 + 5

=13.1 mi

I hope this was helpful, Please mark as brainliest

Answer:

13.2 mi

Step-by-step explanation:

Perimeter of a rectangle

= 2 (L + W)

From the question

L = 4.1

W = 2.5

Using the above formula , we have P = 2 (4.1 + 2.5)

Using the distributive property

2x4.1 + 2x2.5

8.2 + 5

13.2mi

If you are convicted of DUI, your fine and jail time will be increased if _____.(FLVS)

Answers

Conviction of DUI results in increased fines and jail time if aggravating factors such as high alcohol levels or prior offenses are present.

If you are convicted of DUI (driving under the influence), your fine and jail time will typically be increased if certain aggravating factors are present. These can include having a high blood alcohol content, previous DUI convictions, causing an accident while DUI, especially if injury or death occurred, having minors in the vehicle, and others. The penalties are enhanced due to the increased risk and harm these factors represent.

If three workers paint a house in 12 hours how long will it take 5 painters to paint the same house

Answers

Answer:

60 hours

Step-by-step explanation:

you multiply 5×12 and then you get 60

Solve using sublimation

3x+4y=-17
y=-6*-1

Answers

Answer:17

Step-by-step explanation:trust me use mathaway;)  mathaway dot com

Answer:

x=-41/3, y=6 (-41/3, 6).

Step-by-step explanation:

3x+4y=-17

y=-6*-1

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

3x+4y=-17

y=6

3x+4(6)=-17

3x+24=-17

3x=-17-24

3x=-41

x=-41/3

A photo of a beetle in a science book is increased to 734​% as large as the actual size. If the beetle is 15 ​millimeters, what is the size of the beetle in the​ photo?

Answers

Answer:

110.1

Step-by-step explanation:

So, we just need to figure out 734% of 15.

734% can be written as 734/100.

734*15=11010.

11010/100 = 110.1

In the photo, the beetle is 110.1 millimeters

110.1 is the answer because of the formula used

I need help with these 5 questions ASAP and if you answer Ill give whatever you want.
This is my 3rd posting of the question.

Answers

Answer:

1. 8n + 4

2. 5x +13

3. X + 3

4. X - 6

5. 4x + 1

Step-by-step explanation:

1.

2n + 6 and 6n -2 so simply addition will be

2n +6 +6n -2

8n +4

2.

3x + 9 + 2x + 4

5x + 13

3.

3x + 5 - 2x -2

X +3

4.

4x + 3 - 3x -9

X -6

5.

6x + 2 - 2x -1

4x + 1

Write an equation that has variables on each side and has a solution of -2.

Answers

Answer:

2(x+4)=6+x

Step-by-step explanation:

Let x be our variable.

We want to write about equation using x that gives us -2 as solution.

We can write many of such equation.

An example is:

[tex]2( x + 4) = 6 + x[/tex]We cross check.

Let us expand:

[tex]2x + 8 = 6 + x[/tex]

Group similar terms:

[tex]2x - x = 6 - 8[/tex]

Combine similar terms:

[tex]x = - 2[/tex]

What is 490% as a mixed number

Answers

Answer:

49/10

Step-by-step explanation:

when you plug in 490% into your calculator, it shlukd be 49/10.

Answer:

Step-by-step explanation:

49/10 divide the numerator and denominator by gif.490/100=2x5x7 with the power of two=2x5x7with the power of two /2x5 both with th power of two divided 2x5=7 with the power of two/2x5=49/10

Is 8 /15 + 2/5 closer to 0, 1/2, or 1

Answers

Final answer:

The sum of 8/15 and 2/5 is 14/15, which is closer to 1 than to 0 or 1/2 after finding a common denominator and adding the fractions.

Explanation:

To determine whether 8/15 + 2/5 is closer to 0, 1/2, or 1, you need to first find a common denominator for the fractions. The least common denominator for 15 and 5 is 15. You can then rewrite the second fraction, 2/5, with 15 as the denominator by multiplying both the numerator and denominator by 3, which gives you 6/15.

Now add the two fractions:

8/15 + 6/15 = 14/15

This sum is very close to 1, but still less than 1. Therefore, 14/15 is closest to 1.

To conceptualize this, you can think about the fractions in terms of division: 8 divided by 15 is a bit more than half, and 2 divided by 5 is exactly 0.4, which is also slightly less than half. Their sum is thus nearly a whole but not quite there, clearly indicating it's closer to 1 than to 0 or 1/2.

solve each inequality, graph the solution on the number line, and write the solution in interval notation
3x− 2 > 4 or 5x− 3 ≤ 7

Answers

Answer:

[tex](-\infty,+\infty)[/tex]

Step-by-step explanation:

The given inequality is 3x-2>4 or [tex]5x-3\leq 7[/tex]

We group similar terms to obtain: 3x>4+2 or [tex]5x\le7+3[/tex]

Simplify to get:

3x>6 or [tex]5x\le10[/tex]

x>2 or [tex]x\le 2[/tex]

This implies that the solution set is all real numbers.

The solution in interval notation is [tex](-\infty,+\infty)[/tex]

The angle of depression from the top of a cruise ship to the top of a sailboat is 22. Sitting above water, the cruise ship is 236 feet tall while the sailboat is 27 feet tall. Find the distance between the cruise ship and the sailboat.

Answers

Answer:

The distance between the cruise ship and the sail boat is 517 feet.

Step-by-step explanation:

The cruise ship is 236 feet tall, and the sailboat is 236 tall; this means the distance between the top of the cruise ship and the top of the sail boat is

236 feet - 27 feet = 209 feet.

We also know that the angel of depression from the top of the cruise ship to the bottom of the cruise ship is 22°. This forms a right triangle as shown in the figure attached.

Now from trigonometry we get:

[tex]tan \: \theta = \dfrac{209}{d}[/tex]

[tex]d= \dfrac{209}{tan\:\theta }[/tex]

[tex]\boxed{d=517ft}[/tex]

The distance between the cruise ship and the sailboat is 517 feet.

Final answer:

To calculate the horizontal distance between the cruise ship and the sailboat, we subtract the sailboat's height from the cruise ship's height to get 209 feet, use the angle of depression and tangent function, and find that the distance between them is approximately 517.57 feet.

Explanation:

To find the distance between the cruise ship and the sailboat, we need to apply trigonometry. First, we determine the difference in height between the two, which is the cruise ship's height above the water subtracted by the sailboat's height. This will be 236 feet - 27 feet = 209 feet. Since the angle of depression from the cruise ship to the sailboat is 22 degrees, we can use the tangent function, which relates the angle of a right triangle to the ratio of the opposite side to the adjacent side.

The opposite side, in this case, is the difference in height (209 feet), and the adjacent side is the horizontal distance between the ships, which we're trying to find. Thus:

tangent(22 degrees) = opposite/adjacent

adjacent = opposite/tangent(22 degrees)

= 209 feet / tangent(22 degrees)

Now we calculate the tangent of 22 degrees and then divide 209 feet by this amount to find the distance between the two vessels.

Using a calculator, tangent(22 degrees) ≈ 0.4040, so:

adjacent ≈ 209 feet / 0.4040 ≈ 517.57 feet

Therefore, the horizontal distance between the cruise ship and the sailboat is approximately 517.57 feet.

Which statement is true regarding the functions on the
graph?
f(6) = g(3)
f(3) = g(3)
f(3) = g(6)
16) = 96

Answers

Answer:

  f(3) = g(3)

Step-by-step explanation:

The graph shows f(3) = 6, and it shows g(3) = 6. Then ...

  f(3) = g(3)

Final answer:

To determine if two functions f and g are equal at certain points, one must refer to their definitions or graphs. If f(x) and g(x) are defined as x², they are the same function as they produce identical outputs for any numerical input.

Explanation:

The student's question pertains to function comparison and the evaluation of these functions at specific points. The statement "f(6) = g(3)" implies that the value of the function f when x is 6 is equal to the value of function g when x is 3.

The answer to the question will rely on the specific definitions or graphical representations of the functions f and g, provided in the original question or accompanying materials.

For the functions defined by f(x) = x² and g(s) = s², f and g are indeed the same function since they both return the square of their input, regardless of the variable used to represent that input.

Since both function names are simply placeholders for the operation being performed (squaring), f and g yield the same output for any identical numeric input.

Based on the examples in the reference information, we can see that two different functions could have the same graph if they result in the same set of points on a Cartesian plane. This would make them the same function in the context of their graphical representation.

In the diagram above which two red lines are parallel.!?

Answers

Answer:L F and K G

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The answer is not A because:

lines gk and kg are the same line

The answer is not B because:

lines il and gk are perpendicular if they were to touch

The answer is not C because:

line fl and il are perpendicular

The answer IS D because:

lines fl and gk are parallel because they will never touch

what is the length of KM?

Answers

Answer:

B

Step-by-step explanation:

Could be wrong

The length of KM is,

⇒ KM = 80 units

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that;

Line a is the perpendicular bisector of KM.

Now, We can formulate;

Two sides are isosceles triangle are equal.

Hence we get;

9x - 5 = 7x + 7

9x - 7x = 12

2x = 12

x = 6

Thus, The length of KL is,

KL = 6x + 4

KL = 6 x 6 + 4

KL = 40

So, The length of KM is,

⇒ KM = 2 KL

⇒ KM = 2 × 40

⇒ KM = 80 units

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Jon hikes 13.5 mi at a constant rate of 3 mi/h. How many hours does he hike? 4.0 h 4.5 h 10.0 h 10.5 h

Answers

Answer: 4.5

Step-by-step explanation: because, 3x4=12 then you have 1.5 left and 1.5 is half of three so you would have .5 and you then add 4+.5 to get 4.5

Answer:

the answer is 4.5 h

Step-by-step explanation:

Can someone please answer this question please answer it correctly please show work

Answers

Answer:

Actual mean: 223 pages

Predicted mean / estimate: 225 pages

Explanation below

Step-by-step explanation:

Mean = total amount ÷ # of numbers

155 + 214 + 312 + 198  + 200 + 170 + 250 + 260 + 215 + 256

Add

2,230

# of numbers = 10

2,230 ÷ 10 = 223

The exact mean is 223

If I were to predict the mean, I would say that a good estimation would be around 225, because I see that the highest number in the data set is 312, and the lowest is 155. If 312 is rounded down to 300, and 155 is rounded down to 150, the number exactly in the middle of 300 and 150 is 225.

Actual mean: 223 pages

Predicted mean: 225 pages

Hope this helps :)

find the area of the figure. ( sides meet at right angles) ​

Answers

Answer:

55 square feet

Step-by-step explanation:

We can represent the area as a sum of two rectangles.

A = 8 * 5 + 5 * 3 = 40 + 15 = 55 square feet

Answer:

Step-by-step explanation:

Area of rectangle at top

length =5ft; breadth = 3 ft

Area = 5*3 = 15 sq.ft

Area of rectangle at bottom

length = 8ft ; breadth =8-3 = 5 feet

Area = 8*5 = 40 sq.ft

Area of the figure = 15 + 40 = 55 sq.ft

helllllpppp please!!!

Answers

Do you do Accelus Online School?

I do that too!

Sorry i'd totally answer this question but i'm struggling toooo

find the zeros/roots of k(x)=x^3+5x^2+9x+45

Answers

Answer:

k(x)=x^3+9x+5x^2+45

Step-by-step explanation:

k(x)=x^3+5x^2+9x+45

k(x)=x^2(x+5)+9(x+5)

K(x)=(x+5)(x^2+9)

k(x)=x^3+9x+5x^2+45

Simplify g(x)-f(x)= (x^2-x+3)-(5x+4)

Answers

The simplified expression is:

[tex]g(x)-f(x) = x^2-6x-1[/tex]

Solution:

Given that the expression is:

[tex]g(x) - f(x) = (x^2-x+3)-(5x+4)[/tex]

We have to simplify the expression

The expression can be simplified by combining the like terms

Like terms are terms that have the same variables and powers. The coefficients do not need to match

From given,

[tex]g(x) - f(x) = (x^2-x+3)-(5x+4)\\\\Remove\ the\ paranthesis\ and\ solve\\\\g(x) - f(x) = x^2-x+3-5x-4\\\\Combine\ the\ like\ terms\\\\g(x)-f(x) = x^2-x-5x+3-4\\\\Add\ the\ like\ terms\\\\g(x)-f(x) = x^2 -6x + 3 - 4\\\\Add\ the\ constants\\\\g(x)-f(x) = x^2 -6x -1[/tex]

Thus the expression is simplified

Solve for x 2x+6>20 please help

Answers

Answer:

x>7

Step-by-step explanation:

2x+6>20

2x>20-6

2x>14

x>14/2

x>7

10 POINTS
Choose the polynomial that is written in standard form.
A:−3x5 + 4x3 + 10x2
B:−8x + 4x4 + 3x3
C:x4 + 4x3 + 10x4
D:x6 + 4x3 + 10x7

Answers

Answer:

A

Step-by-step explanation:

-3×5+4×3+10×2

=-15+12+20

=17

Answer:

A: 3x5 + 4x3 +10x2

Step-by-step explanation:

Solve the quadratic equation for x. What is one of the roots?

2x2 + 9x − 5 = 0
A) −
1
2
B) −
1
5
C)
1
2
D)
1
5

Answers

Final answer:

To solve the quadratic equation 2x² + 9x - 5 = 0, the quadratic formula is used, and after calculating the discriminant and applying the formula, one of the roots is found to be 1/2, which is option C.

Explanation:

To solve the quadratic equation 2x2 + 9x - 5 = 0, we can use the quadratic formula which is x = (-b ± √(b2 - 4ac)) / (2a). In this equation, a equals 2, b equals 9, and c equals -5.

Firstly, we need to calculate the discriminant: b2 - 4ac which is 92 - 4 * 2 * (-5) = 81 + 40 = 121.

Since the discriminant is a perfect square, we can proceed with the formula: x = (-9 ± √(121)) / (2*2). The square root of 121 is 11, so we have:

x1 = (-9 + 11) / 4 = 2 / 4 = 0.5 or 1/2x2 = (-9 - 11) / 4 = -20 / 4 = -5

Thus, one of the roots of the equation is 1/2, which corresponds to option C.

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The neurocognitive theory of dreaming suggests that there is an involved system of neurons in the brain that must exist in order for dreams to occur. This network includes parts of the limbic system and:__________ Suppose an economist advises a state's governor to raise the tax on cigarettes. The governor does not implement the policy because it would not be popular with voters. Which of the following statements best describe the scenario?a. This is an uncommon occurrence. More often than not, policymakers follow the advise of economistsb. This is a common occurrence. The policymaker knows the best policy but chooses not to institute it for other reasonsc. This would never happen because policymakers always follow economists' adviced. This is a common occurrence. Policymakers typically disregard economists' advice since they don't believe it's useful If an intercepted arc measures 124, what is the measure of its inscribed angle? the same, 124 twice the measure, 248 half the measure, 62 A high school history teacher admonishes her students to consider the source and the quality of the evidence they cite in support of the points they make in their essays. The teacher is encouraging her students to engage in _____ thinking. structural changes must an organization undertake to switch from a product to a customer orientation? What is a hypothesis?A. analysis based on an observation.B. a proposed answer to a question.C. a conclusion based on analysis.D. data gathering during an experiment. Write 2.14 in word form Gilbertos grandfather gives him $5 for his birthday and then $.50 for each math question he answers correctly on his math exams for the year. Write an equation that represents the amount of money that Gilberto receives during the school year. Explain what the variables and numbers mean. suppose you are performing an experiment in science class in which you start with 70 bacteria and the amount of bacteria triples every hour write a function to represent the growth of the bacteria overtime in your science experiment How did Eleanor Roosevelt transform the role of the First Lady of the United States?Group of answer choicesby becoming more active in addressing social issues than her predecessorsby using her position to amass considerable personal wealthby refusing to publicly support the policies of the president's administrationby running for political office while serving in the position A broker/dealer bought ABC stock at 8 for its inventory position. A month later when the inter-dealer market for ABC was 10.50 -- 11.25, the broker/dealer sold the stock to a customer. The basis for the dealer's markup will be:[A] 8.00[B] 8.75[C] 10.50[D] 11.25 You have decided to conduct an interview-based study on your campus that examines sexual assault with the hope of offering recommendations to the administration for policy changes. You have selected as your sample the members of all the campus fraternities, as this is a subpopulation of the entire campus and seems often to be at the center of the cases. Although this is an interesting approach, your results will likely be _______. What is the equation of the following line? Be sure to scroll down first to seeall answer options. What was the major cause of Shays's Rebellion?OA. Taxes required of poor farmersOB. The Treaty of Paris in 1787OC. New laws passed by BritainOD. Currency issued by CongressSUBMI Sarah qualified for her states gymnastics finals. She has decided to give up three hours of sleep each night so that she can fit more training in. She is also training on her rest days. What is the likely result? (Select all that apply.)A.She will build much stronger muscles.B.She will increase her risk for injuryC.The extra training will make her more likely to win.D.Her muscles will not recover well from workouts. There are two different alleles for flower color, P and p. The image shows a white sweet pea that is labeled with its two alleles for petal color.A white sweet pea is labeled p p.What can you surmise from the labeled image?A.The genotype is heterozygous.B.White petal color is a recessive trait.C.White petal color is a dominant trait.D.The phenotype is heterozygous. XYZ wishes to advertise a property that has been listed by John Smith, a salesperson who goes by the name of Jake. The salesperson wants his name to be included in the ads so the public can call him. What must be included in the ad? What was King David's most important achievement?1. He planned the the temple in Jerusalem2. He secured the borders of Israel3. He was a strong and wise king4. He made Jerusalem the capital of Israel twenty is 150% of what number Two cars entered an interstate highway at the same time at different locations and traveled in the same direction. The initial distance between the cars was 30 miles. The first car was going 70 miles per hour and the second was going 60 miles per hour. How long will it take for the first car to catch the second one?