Once sales tax is included, an $89 canoe ends up costing $97.90. What is the sales tax percentage?

Answer:

25

Step-by-step explanation:

formula for triangle is (b*h)/2=A

Answer:

The fact points to the conclusion of the conditional.

Step-by-step explanation:

Law Of Detachment:

p -> q (if p is true, then q is true)

***You cannot go backwards. In other words, you cannot say that if q is true, then p is true, this is due to counterexamples.

f(x)=12x-8

f(-7)=12(-7)-8

f(-7)= -84-8

f(-7)= -92

The fully factored form of the expression 14t³ + 6t is:

2t(7t² + 3)

To factorize the expression 14t³ + 6t as fully as possible, we can first look for any common factors among the terms.

Both terms have a common factor of 2t.

We can factor out this common factor:

14t³ + 6t = 2t(7t² + 3)

Now, let's examine the expression within the parentheses:

7t² + 3.

This quadratic expression cannot be factored further using integer coefficients or simple factorization techniques.

It is not possible to factorize the quadratic expression 7t² + 3 any further with integer coefficients.

We can initially search for any shared factors between the words in order to factorise the phrase 14t3 + 6t as completely as feasible.

The common factor between the two terms is 2t.

This common component can be eliminated:

14t³ + 6t = 2t(7t² + 3)

Let's study the phrase included in brackets now:

7t² + 3.

Neither basic factorization methods nor integer coefficients can factor this quadratic equation further.

With integer coefficients, it is impossible to factories the quadratic equation 7t2 + 3 any further.

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Answer:

apples per pound: 0.25

pears per pound: 0.33

Apples give him the best value per pound

Step-by-step explanation:

to find apple per pound: 4/16= 0.25

to find pears per pound: 7/21= 0.33

There are 125 stickers did Sally have to start.

We have to given that,

Sally had 52 more stickers than Joe after Joe gave 1/5 of his stickers to her.

Let us assume that,

Joe had x stickers to start with.

Since, After Joe gave 1/5 of his stickers to her.

He have 4/5 of his original amount left.

That is, 4/5x

Since, Sally had 52 more stickers than Joe

Hence, We get;

4/5x + 52 = 1/5x + y  .. (i)

where y is the number of stickers Sally had to start with.

Here, they both had a total of 260 stickers,

Hence,

x + y =260  .. (ii)

From (i) and (ii);

y = 125

Thus, There are 125 stickers did Sally have to start.

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The Average Order's Gross Profit for the clothing eCommerce company in this scenario is USD 15.

For the Average Order's Gross Profit for the clothing eCommerce company in this scenario, we need to subtract the cost of production and shipping from the Average Order Value as;

⇒ Gross Profit = Average Order Value - Cost of production - Cost of shipping Gross Profit

⇒ Gross Profit = USD 65 - USD 35 - USD 15

⇒ Gross Profit = USD 15

Therefore, the Average Order's Gross Profit for the clothing eCommerce company in this scenario is USD 15.

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Answer:

The measure of the other leg is 9 cm.

Step-by-step explanation:

a² + b² = c²

x² + 12² = 15²

x² + 144 = 225

x² = 81

\(\sqrt{x^2} =\sqrt{81}\)

x = 9

A. The total value of the loan with quarterly compounded interest is $52,400.

B. The total value of the loan with monthly compounded interest is $52,010.04

Part A: Total value of the loan with the quarterly compounded interest

To find the total value of the loan, we'll use the formula for compound interest:

A = P * (1 + r/n)^(nt)

Where:

A = final amount (loan + interest)

P = principal amount (initial loan) = $20,000

r = interest rate = 7% = 0.07

n = number of times compounded per year = 4 (quarterly)

t = number of years = 10

Plugging in the values, we get:

A = $20,000 * (1 + 0.07/4)^(4 * 10)

A = $20,000 * (1.0175)^40

A = $20,000 * 2.620075

A = $52,401.51

Rounding to the nearest hundred, the total value of the loan with quarterly compounded interest is $52,400.

Part B: Total value of the loan with the monthly compounded interest

To find the total value of the loan with monthly compounded interest, we'll use the same formula with a different value of n:

A = P * (1 + r/n)^(nt)

Where:

n = number of times compounded per year = 12 (monthly)

Plugging in the values, we get:

A = $20,000 * (1 + 0.07/12)^(12 * 10)

A = $20,000 * (1.005833)^120

A = $20,000 * 2.600502

A = $52,010.04

Rounding to the nearest hundredth, the total value of the loan with monthly compounded interest is $52,010.04

The difference between the two loans is $52,401.51 - $52,010.04 = $391.47

The difference between the two loans is due to the higher frequency of compounding in the monthly compounded interest loan. The interest is compounded more times per year, so the interest is accumulating on the interest more quickly, leading to a higher overall interest charge.

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Answer:

Present Perfect Tense Examples

Has lived: She has lived here all her life.

Have written: They have written three letters already.

Have worked: I have worked here since I graduated school.

Has done: He has finished his homework.

Have been: We have been to Canada.

Has forgotten: She has forgotten her folder.

Step-by-step explanation:

Answer:

Twelve and one fourth feet

Step-by-step explanation:

9 and 3/4 feet =9.75

2 and 2/4 feet =2.50

9.75 + 2.50

= 12.25/12 and 1/4 feet

Answer:

nickels- 5, quarters- 11

Step-by-step explanation:

nickel= 5 p,  quarter= 25 p

5x+25(x+6)= 300

30x+150=300

30x=150

x=150/30

x=5 nickels

x+6= 11 quarters

Answer:

It is not a integer, it is a rational number

Answer: No, this isn't. An integer is any whole number, positive or negative. Having extraneous digits to the right of the decimal other than zero, radicals or any fractions are excluded from being considered an integer. Integers, for example, are 2, 85, -923, etc. Hope this helps!

Step-by-step explanation:

Answer:

Simplified: -4u? + 5u^2 - 5u - 3

Step-by-step explanation:

Given:

• Types of shoes = 4

• Number if necklaces = 5

• Number of tops = 10

• Number of bottoms = 7

Let's find how many distinct outfits you can create.

To find the number of distinct outfits you can create, we have:

Therefore, the number of distinct outfits you can create is 1400.

ANSWER:

1400

Answer:

2.33 Seconds

Step-by-step explanation:

The equation y = -6t^2 - 10t + 56 expresses the height of a ball at a given time, t, on the planet Mars.  We are also given that the ball is thrown with a velocity of 10 feet per second with the initial height of 56 feet.

To find the amount of time to reach the ground, we can say that the time being found will be when the ball is on the ground, or when y = 0.  So we simply set our equation to 0 and solve for t.

y = -6t^2 - 10t + 56

0 = -6t^2 - 10t + 56

0 = -1 (6t^2 + 10t + -56)

0 = -1 (3t - 7) (2t + 8)

(3t - 7) = 0  OR (2t + 8) = 0

3t = 7         OR  2t = -8

t = 7/3        OR    t = -4

Since time will not be negative, we will want to choose the positive solution for this quadratic equation.

Hence, the amount of time for the ball to hit the ground will be 7/3 seconds or 2.33 seconds.

Cheers.

Answer:

2.33

Step-by-step explanation:

Setting $y$ to zero, we find the following:

\begin{align*}

-6t^2 - 10t + 56 &= 0 \\

\Rightarrow \quad 6t^2 + 10t - 56 &= 0 \\

\Rightarrow \quad 3t^2 + 5t - 28 &= 0 \\

\Rightarrow \quad (3t-7)(t+4) &= 0.

\end{align*}As $t$ must be positive, we can see that $t = \frac{7}{3} \approx \boxed{2.33}.$

Answer:

Radius: 3.5

Diameter: 7

i might be wrong tho im sorry !!

The answer:

Radius = 3.5cm

Diameter = 7cm

Answer:

yo

Step-by-step explanation:

why need answer "assp"

Answer:

look at the screen shot

Step-by-step explanation:

Answer:

-10.64 is lesser and -5.35 i greater

Step-by-step explanation:

just did it on khan

The expected value of hiring the oil spill response team is -$25,000.

Indicating that, on average, the cost of hiring the team exceeds the savings in the event of an oil spill.

We have,

Given:

Cost of hiring the oil spill response team = $50,000

Estimated savings in the event of an oil spill = $2,500,000

Probability of generating an oil spill = 1% = 0.01

Expected Cost = Cost of hiring the oil spill response team = $50,000

Expected Savings = Probability of an oil spill * Estimated savings in the event of an oil spill

= 0.01 * $2,500,000

= $25,000

Expected Value = Expected Savings - Expected Cost

= $25,000 - $50,000

= -$25,000

Thus,

The expected value of hiring the oil spill response team is -$25,000.

Since the expected value is negative, it indicates that, on average, the cost of hiring the team exceeds the savings in the event of an oil spill.

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Answer:

5 1/3

Step-by-step explanation:

Apply +133.3% to the sides

The correct equation for the graph include the following: C. y = 2x/3 - 4.

Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:

y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

Where:

From the information provided above, we have the following slope and data points on the line:

At point (0, -4), a linear equation of this line can be calculated in point-slope form as follows:

y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

y - (-4) = (0 + 4)/(6 - 0)(x - 0)

y + 4 = 2x/3

y = 2x/3 - 4

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The perimeter and area of the square are; 24√2 units and 12 units² respectively

Given the coordinates of the midpoints of the four sides of a square are S(-4,11), Q(2,5), U(-4,-1), A (-10,5)

But since we have the midpoints of all the sides, we can assume they're equidistant from one another since the figure is a square.

SQ = √(x₂ - x₁)² + (y₂ - y₁)²

SQ = √(2 - (-4)² + (5 - 11)²

SQ = 6√2

Let's find QU

QU = √(-4 - 2)² + (-1 - 5)²

QU = 6√2

Let's find UA ;

UA = √(-10 - (-4))² - (5 - (-1)²

UA = 6√2

And the distance AS = 6√2

The perimeter of the square = 4 (6√2)

Perimeter = 24√2 units

The area of the square = l²

Area of the square = (6√2)²

Area of square = 12 units²

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The numerical value of x in the similar pair of triangle is 10.

A ratio is simply the relation between two amounts showing how many times a value is contained within another value.

From the diagram,

Side A of the small triangle = 10

Side B of the small triangle = x + 2

Side A of the Big triangle = 10 + x

Side B of the big triangle = x + 14

Hence;

Ratio of Side A to Side B of the small triangle = 10 / x + 2

Ratio of Side A to Side B of the Big triangle = 10 + x / x + 14

Since the triangle area similar, equate the two ratio and solve for x.

10 / ( x + 2 ) = ( 10 + x ) / ( x + 14 )

Cross multiply

10( x + 14 ) = ( 10 + x )( x + 2 )

Expand using FOIL method

10x + 140 = 10x + 20 + x² + 2x

10x + 140 = x² + 12x + 20

x² + 12x + 20 = 10x + 140

x² + 12x + 20 - 10x - 140 = 0

x² + 2x - 120 = 0

Factor the left side of the equation

( x - 10 )( x + 12 ) = 0

Hence;

x - 10 = 0 and x + 12 = 0

x = 10 and x = -12

Since the dimension of the triangle cannot be negative,

x = 10

Therefore, the value of x is 10.

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Answer:

See below ~

Step-by-step explanation:

1. Vertically opposite angles are equal when two lines intersect.

2. The sum of two interior angles is equal to the exterior angle forming a linear pair with the third angle.

3. The sum of the interior angles of a triangle is 180°.

4. You can find the length of a hypotenuse using the Pythagorean Theorem.

Answer:

4 yd².

Step-by-step explanation:

From the question given above, the following data were obtained:

Length (L) = 2⅔ yards

Width (W) = 1½ yards

Area (A) =.?

The area of the piece of fabric that Roberto needs can be obtained by using the formula for calculating the area of a rectangle. This is illustrated below:

Area (A) = Length (L) × Width (W)

A = 2⅔ × 1½

A = 8/3 × 3/2

A = 8 × ½

A = 4 yd²

Thus, the area of the piece of fabric that Roberto needs is 4 yd²

Answer:

cats rule dogs drool is correct ty<3

Step-by-step explanation:

Answer:

cats rule dogs drool

Step-by-step explanation:

just did it edge23

To solve the expression 1 - (1 + 0.04/12)^(-12x10), you can follow these steps: Step 1: Simplify the exponent. In this case, -12x10 simplifies to -120.

Step 2: Evaluate the term within the parentheses first. 0.04/12 simplifies to 0.0033333 (approximately).

Step 3: Add 1 to 0.0033333 to get 1.0033333.

Step 4: Raise 1.0033333 to the power of -120.

Step 5: Calculate the value inside the parentheses using a calculator or software. The result is approximately 0.742657.

Step 6: Subtract the value obtained in Step 5 from 1.

1 - 0.742657 = 0.257343 (approximately).

Hence, the value of the expression 1 - (1 + 0.04/12)^(-12x10) is approximately 0.257343.

It's important to follow the order of operations (PEMDAS/BODMAS) when solving mathematical expressions. In this case, the exponent is evaluated first, followed by addition and subtraction. Utilizing a calculator or software that supports exponentiation and parentheses can help simplify complex expressions and obtain accurate results efficiently.

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Answer:

B .

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