A store is selling a shirt in two different states. The shirt retails for $45.
In Florida, the sales tax is 6.5%. In Alaska, it is 4.5%. How much more
would it cost for you to buy the shirt in Florida?

To match the graphs of cylinders a and b to cylinders P and Q, we need to analyze the relationship between the height of the water and the volume of water in each cylinder.

Cylinder P would correspond to graph b, while Cylinder Q would correspond to graph a.

The reasoning behind this is as follows:

Cylinder P, corresponding to graph b, shows a steeper increase in height with increasing volume. This indicates that the water level rises quickly as more volume is added, suggesting that the cylinder has a smaller cross-sectional area. Since height is directly proportional to volume for a cylinder, a smaller cross-sectional area would result in a higher rise in height for the same volume of water.

Cylinder Q, corresponding to graph a, shows a slower increase in height with increasing volume. This implies that the water level rises more gradually as more volume is added, indicating a larger cross-sectional area. A larger cross-sectional area would result in a smaller increase in height for the same volume of water.

In summary, the steeper graph b matches Cylinder P with a smaller cross-sectional area, while the gentler graph a matches Cylinder Q with a larger cross-sectional area.

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If the certain truck traveled 7,605 miles in 15 days. The average number of miles traveled per day will be 507.

It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.

It is given that, a certain truck traveled 7,605 miles in 15 days.

The average number of miles traveled per day is obtained by dividing the total distance traveled by the total time taken as,

Suppose the average number of miles traveled per day is x,

x=76015 / 15

x=507 miles per day.

Thus, if the certain truck traveled 7,605 miles in 15 days. The average number of miles traveled per day will be 507.

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Answer:

\(2.375\,\,miles\)

Step-by-step explanation:

Given: Length of a hiking trail is \(3\frac{4}{5}\,\,miles\)

Terence travels \(\frac{5}{8}\) of the length of a hiking trail

To find: Distance travelled by Terence

Solution:

Whole numbers refer to natural numbers together with 0.

A fraction represents a part of a whole.

A whole number and a fraction combined into mixed fraction.

Distance travelled by Terence = \(\frac{5}{8}(3\frac{4}{5})=\frac{5}{8}(\frac{19}{5})=\frac{19}{5}=2.375\,\,miles\)

If no withdrawals were made from the accounts. The total interest earned at the end of 1 year is $230 and the percent interest for the total deposited is 5.75%.

a. Total interest earned  :

Total interest earned  = (0.02)($1000)+(0.07)($3000)

Total interest earned =$20+$210

Total interest earned =$230

b. Percent interest amount deposited

Percent interest amount deposited = Total interest earned / Total amount deposited

Percent interest amount deposited = $230 /( $1,000 + $3,000)

Percent interest amount deposited = $230 / $4000

Percent interest amount deposited = 0.0575 × 100

Percent interest amount deposited =5.75%

Therefore $230 is the interest earned and 5.75 is the percent interest.

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The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

From the figure, the area of triangles can be calculated using the:

Area = (1/2)height×base length

Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)

Area of three triangle = 1/2(24×3) = 36 square units

Area of the figure = area of three triangle + area of the rectangle

= 36 + 6×4

= 60 square units

Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

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Answer:

Step-by-step explanation:

Exchange rates are the rates at which one currency can be exchanged for another currency. They represent the value of one currency relative to another currency.

Answer:

\(L =21.945\) --- Length

\(W = 7.9725\) --- Width

Step-by-step explanation:

Given

Let

\(L \to Length\)

\(W \to Width\)

So:

\(Area = 175\)

\(L = 6 + 2W\)

Required

The dimension of the rectangle

The area is calculated as:

\(Area =L*W\)

This gives:

\(175 =L*W\)

Substitute: \(L = 6 + 2W\)

\(175 =(6 + 2W)*W\)

Open bracket

\(175 =6W + 2W^2\)

Rewrite as:

\(2W^2+ 6W -175 = 0\)

Using quadratic formula:

\(W = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}\)

This gives:

\(W = \frac{-6 \± \sqrt{6^2 - 4*2*-175}}{2*2}\)

\(W = \frac{-6 \± \sqrt{1436}}{2*2}\)

\(W = \frac{-6 \± 37.89}{4}\)

Split

\(W = \frac{-6+ 37.89}{4}, W = \frac{-6- 37.89}{4}\)

\(W = \frac{31.89}{4}, W = \frac{-43.89}{4}\)

The width cannot be negative;

So:

\(W = \frac{31.89}{4}\)

\(W = 7.9725\)

Recall that:

\(L = 6 + 2W\)

\(L =6 + 2 * 7.9725\)

\(L =21.945\)

Answer:

GRAPH OF 3X+2 IS 6

Step-by-step explanation:

Answer:

The graph below

Step-by-step explanation:

The power series of the given function  is 1 + (2x) + (2x)² + (2x)³+ --------------------- + (2x)ⁿ

We know very well that sum of n terms who are in geometric progression their sum of expression is given by  a/1-r where a is first term and r is common ratio between the terms.

Now, we have function f(x)=[1 / (1-2x)]

On comparing with a/1-r with f(x),we get

=>a=1 and r=2x

Now, we know that first term of geometric progression is given by =1

second term of geometric progression is given by=a × r= 1 ×2x

third term of geometric progression is given by =a×r² =1×(2x)²

fourth term of geometric progression is given by=a×r³ =1 × (2x)³

nth term of geometric progression is given by =a×(r)ⁿ = 1 × (2x)ⁿ

Therefore, according to the given formula progression series of given function is=a+ ar +ar² + ar³ + -----------arⁿ

=>progression series = 1+ 2x + (2x)² + (2x)³ + --------- + (2x)ⁿ.

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The subsets of the set {e, n, t} are given as follows:

{{}, {e}, {n}, {t}, {e,n}, {e,t}, {n,t}, {e,n,t}}.

Considering a set with n elements, the number of subsets in the set is the nth power of 2, that is:

\(2^n\)

The set for this problem is given as follows:

{e, n, t}

The cardinality is given as follows:

n = 3.

Hence the number of subsets is given as follows:

2³ = 8.

The subsets are given as follows:

{{}, {e}, {n}, {t}, {e,n}, {e,t}, {n,t}, {e,n,t}}.

In which {} is the empty set.

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Triangle PQR=TSR

PROVED

Answer:

Image provided is correct, thank you!

Since PQ and BC are parallel, we have the following:

That is to say, triangles APQ and ABC are similar. Since they are similar, their sides are proportinal. We can then see this relation in the following equation:

Where x is the lenght of AQ. We know rearrange the equation

And so, the lenght of AQ is 9

Answer:

exact form : 2√3

decimal form : 3.46410161… or 3.46

hope this helps you!

Answer:

The value of the function is \(\sqrt{12}\). Rounded to the nearest hundredth, the answer is 3.46

Step-by-step explanation:

We are given the value of x, so we simply have to evaluate the function:

\(f(x)=\sqrt{x+4}\)

Substitute 8

\(f(8)=\sqrt{8+4}\)

Add in the radical

\(\sqrt{12}\)

The value of the function is sqrt(12).

Rounded to the nearest hundredth: \(3.46\)

Answer:

1/3

Step-by-step explanation:

The slope of a perpendicular line is always the negative reciprocal of the slope of the original line.

-1/-3 = 1/3

Exponential growth is a type of growth that occurs when the rate of increase is proportional to the current amount.

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Step-by-step explanation:

12- 2*6

26- 2*13

gcf =2

the least greatest common factor is 2

Answer:

x is the first mile marker

then, x+%2B+1 the second mile marker

given:

x%2Bx+%2B+1=655

2x+=655-1

2x+=654

x+=654%2F2

x+=327->the first mile marker

and

x+%2B+1=328 the second mile marker

Answer:

$312.50

Step-by-step explanation:

240 + 25% = 300

300 + 12.50 =

312.50

Answer:  The Answer Is NOT Letter B

A. P′ (−2, −1)

Step-by-step explanation:

try this answer

Because I put letter B and got it wrong. I mean it makes since when you look at the graph.

Answer:

1the answer for this is easy it is 4.4

Answer:

1)Solving the expression \(1-2(2x+1)=1-(x-1)\) we get \(\mathbf{x=-\frac{1}{3}}\)

2) solving the equation \(3.6x-6.1=5.9-2.4x\) we get \(\mathbf{x=2}\)

Step-by-step explanation:

We need to solve the expressions:

1) \(1-2(2x+1)=1-(x-1)\\\)

Solving

\(1-2(2x+1)=1-(x-1)\)

First solving the brackets

\(1-4x-2=1-x+1\)

Simplifying

\(-1-4x=-x\)

Adding 4x on both sides

\(-1-4x+4x=-x+4x\\-1=3x\)

Switching the sides

\(3x=-1\)

Divide both sides by 3

\(\frac{3x}{3}=-\frac{1}{3}\\x= -\frac{1}{3}\)

So, Solving the expression \(1-2(2x+1)=1-(x-1)\) we get \(\mathbf{x=-\frac{1}{3}}\)

2) \(3.6x-6.1=5.9-2.4x\)

Solving:

\(3.6x-6.1=5.9-2.4x\)

Adding 6.1 on both sides

\(3.6x-6.1+6.1=5.9-2.4x+6.1\\3.6x=12-2.4x\)

Adding 2.4x on both sides

\(3.6x+2.4x=12-2.4x+2.4x\\6x=12\\\)

Divide both sides by 6

\(\frac{6x}{6}=\frac{12}{6}\\x=2\)

So, solving the equation \(3.6x-6.1=5.9-2.4x\) we get \(\mathbf{x=2}\)

Answer: Therefore, the solution for x is (56 - b) / a

Step-by-step explanation:

To solve for x in the equation ax + b = 56, we can first isolate the term with x by subtracting b from both sides:

ax + b - b = 56 - b

Simplifying, we get:

ax = 56 - b

Finally, we can solve for x by dividing both sides by a:

x = (56 - b) / a

Therefore, the solution for x is (56 - b) / a.

Answer:

K5.60.

Step-by-step explanation:

Comparing these two proportions, we can see that the proportion of damaged shipments is lower for heavy-duty packaging than for regular packaging. we can conclude that heavy-duty packaging reduces the proportion of damaged shipments.

Generally, To determine whether heavy-duty packaging reduces the proportion of damaged shipments, we need to compare the proportion of damaged shipments for both types of packaging.

First, let's calculate the proportion of damaged shipments for the orders shipped in regular, light packaging:

Proportion of damaged shipments for regular packaging = (number of damaged shipments in regular packaging) / (total number of shipments in regular packaging)

= (20 damaged shipments) / (1200 total shipments)

= 1/60

Next, let's calculate the proportion of damaged shipments for the orders shipped in heavy-duty packaging:

The proportion of damaged shipments for heavy-duty packaging = (number of damaged shipments in heavy-duty packaging) / (total number of shipments in heavy-duty packaging)

= (15 damaged shipments) / (1500 total shipments)

= 1/100

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If Pryce Company owns equipment that cost $65,000 when purchased on January 1, 2012. It has been depreciated using the straight-line method based on an estimated salvage value of $5,000 and an estimated useful life of 5 years. Prepare Pryce Company's journal entries to record the sale of the equipment in these four independent situations.

Pryce Company's journal entries

(a) Sold for $31,000 on January 1, 2015

Jan 1, 2015

Debit Cash  $31,000

Debit Accumulated Depreciation- Equipment $36,000

[($65,000-$5,000)/5 × 3]

Credit Equipment $65,000

Credit Gain on sale of Equipment $2,000

($31,000+$36,000-$65,000)

(To record sales of equipment)

(b) Sold for $31,000 on May 1, 2015

May 1, 2015

Debit Depreciation Expense $4,000

Credit  Accumulated Depreciation- Equipment $4,000

[($65,000-$5,000)/5 × 4/12]

(To record depreciation expense)

May 1, 2015

Debit Cash $31,000

Debit   Accumulated Depreciation- Equipment $40,000

($36,000+$4,000)

Credit Equipment $65,000

Credit Gain on sale of Equipment $6,000

($31,000+$40,000-$65,000)

(To record sale of equipment)

(c) Sold for $11,000 on January 1, 2015

Jan 1, 2015

Debit Cash  $11,000

Debit Accumulated Depreciation- Equipment $36,000

[($65,000-$5,000)/5 × 3]

Debit Loss on sale of  Equipment $18,000

($65,000-$11,000-$36,000)

Credit  Equipment $65,000

(To record sales of equipment)

(d) Sold for $11,000 on October 1, 2015

Oct 1, 2015

Debit Depreciation Expense $9,000

Credit Accumulated Depreciation- Equipment $9,000

[($65,000-$5,000)/5 × 9/12]

(To record depreciation expense)

Oct 1, 2015

Debit Cash  $11,000

Debit Accumulated Depreciation- Equipment $45,000

($36,000+$9,000)

Debit Loss on sale of  Equipment $9,000

($65,000-$11,000-$45,000)

Credit  Equipment $65,000

(To record sales of equipment)

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Answer:

32 mins\

beacuase taht was the amont of time that passed

Based on the information, the Stafford loan will have a lower balance by $527.14 at the time of repayment

Using the formula for compound interest, the total cost of the loan can be calculated as follows:

Total cost of Stafford loan = $11,650 x (1 + 0.0595/12)^(12*0.5) = $12,652.14

Total cost of PLUS loan = $12,436.41 x (1 + 0.0655/12)^12 = $13,179.28

Therefore, the Stafford loan will have a lower balance at the time of repayment by $527.14 ($13,179.28 - $12,652.14).

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To find the exact value of (7π/6) using the unit circle, locate the angle (π/6) on the unit circle in the second quadrant, determine the coordinates, and adjust the y-coordinate to be negative. The final answer is (√3/2, -1/2). This answer is obtained by understanding the reference angle and using the coordinates of the point where the angle intersects the unit circle.

To find the exact value of (7π/6) using the unit circle, follow these steps:

1. Start by understanding the reference angle. The reference angle for (7π/6) is (π/6).

2. Locate the angle (π/6) on the unit circle. This angle lies in the second quadrant.

3. Determine the coordinates of the point where the angle intersects the unit circle. For (π/6), the x-coordinate is √3/2 and the y-coordinate is 1/2.

4. Since (7π/6) lies in the second quadrant, the x-coordinate will remain the same, but the y-coordinate will be negative. Therefore, the coordinates for (7π/6) are (√3/2, -1/2).

5. The exact value of (7π/6) is (√3/2, -1/2).

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