At the end of the year 2010, the business had 140 stores in the United States. By the end of the year 2016, the number of stores in the United States had increased by 60%, and
114 of these stores were located in California.
How many stores were located in California at the end of the year 2016?
Select one answer.
a: 6 b:10 c:14 d:16

The work done by the winch in running the winch until the bottom of the chain is at the 10-foot level is 200 foot-pounds.

Given, The weight of the chain per foot = 2 pounds

Total length of the chain = 20 feet

The chain is hanging from a winch 20 feet above ground level.

The work done by the winch in running the winch until the bottom of the chain is at the 10-foot level is to be determined.

The force required to lift the chain is equal to the weight of the chain. Therefore, the force needed is F = 2 × 20 = 40 pounds. The work done is the product of force and distance.

Therefore, Work done = force × distance= 40 × (20 − 10)= 400 foot-pounds

Thus, the work done by the winch in running the winch until the bottom of the chain is at the 10-foot level is 200 foot-pounds.

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Answer:

x = 7

Step-by-step explanation:

We can identify the figure formed by 2 radii, (6x - 3), and (3x + 18) as a kite because it is a quadrilateral symmetric around a center line.

The radii sides are congruent, and therefore, the other two sides must be congruent as well. So, we can solve for x by equation (6x - 3) and (3x + 18).

\(6x - 3= 3x + 18\)

↓ subtracting 3x from both sides

\(3x - 3= 18\)

↓ adding 3 to both sides

\(3x = 18 + 3\)

\(3x = 21\)

↓ dividing both sides by 3

\(\boxed{x = 7}\)

Answer: 960

Step-by-step explanation:

Let the number of pennies Keiko's bank hold be x

Now, According to the question,

\(\frac{1}{6} \times x+320=\frac{1}{2} \times x\)

⇒ \(\frac{1}{6} \times x+320=\frac{x}{2}\)

⇒ \(\frac{(x+1960)}{6}=\frac{x}{2}\)

⇒ 2(x + 1920) = 6x

⇒ 2x + 3840 = 6x

⇒ 6x - 2x = 3840

⇒ 4x = 3840

⇒ \(x = \frac{3840}{4}\)

⇒ x = 960

Hence, the total number of pennies Keiko's bank hold = 960.

Answer:

The sum of 25 and 16 is 41.

Step-by-step explanation:

The sum of two numbers, 25 and 16, you can break apart the addends and add them separately to simplify the process. Here's how you can do it:

Break apart the numbers into their place values: For 25, you have 20 and 5, and for 16, you have 10 and 6. This step helps you work with the place values individually.

Add the tens place: In this case, you have 20 (from 25) and 10 (from 16). Adding them gives you 30.

Add the ones place: Now you add the ones place, which is 5 (from 25) and 6 (from 16). Adding them gives you 11.

Combine the sum of the tens place and the sum of the ones place: Take the sum of 30 (from step 2) and 11 (from step 3). Adding them together gives you 41.

So, the sun is 41.

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Answer:

JuSt AsK Go Og Le

Step-by-step explanation:

G o o g l e

i s

s m a r t

UwU

The radius of the cone is 783.84/√h

A cone is the surface traced by a moving straight line (the generatrix) that always passes through a fixed point (the vertex).

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.

The volume of a cone is expressed as;

V = 1/3πr²h

643072 × 3 = 3.14 × r²h

r²h = 614400

r² = 614400/h

r = 783.84/√h

therefore the radius of the cone is 783.84/√h

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In standard nomenclature, a normally distributed dataset is represented as \(N(µ, σ^2)\), where µ is the mean and \(σ^2\)is the variance (square of the standard deviation).

A normally distributed phenomenon using standard nomenclature can be described as follows:

A dataset is said to be normally distributed if it follows a bell-shaped curve, which is symmetrical around the mean (µ) and characterized by its standard deviation (σ). In standard nomenclature, a normally distributed dataset is represented as \(N(µ, σ^2)\), where µ is the mean and \(σ^2\)is the variance (square of the standard deviation).

For example, if we consider the heights of adult males in a large population, we may observe that the distribution is normally distributed with a mean height (µ) of 175 cm and a standard deviation (σ) of 10 cm. In this case, the nomenclature for this normally distributed phenomenon would be N(175, 100), as the variance is \(10^2 = 100\).

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Answer:

Maximum

Step-by-step explanation:

At the vertex the function is at aits maximum value.

Answer:

$73.20

Step-by-step explanation:

If he left a 22% tip and the meal cost $60 then we need to do 122% of 60

\(1.22*60=73.2\)

Since it is money we add the 0 in the hundredths place and we get

\(73.20\)

The adjusted cost of the dealer financing package is 5.00%. Therefore, you should accept the rebate and finance your new vehicle using your credit union loan as its cost (8.8%) is less than the adjusted cost of the dealer-arranged financing (5.00%).

To compare the dealer financing package with the credit union loan, you need to determine the adjusted cost of the dealer financing package using the given equation.

Using the given information: D = $27,690, APR = 3.5%, Y = 12 (monthly payments), P = 48 (4 years of payments), and F = $1,038.

Plugging the values into the equation:

APR = (12 * ((95 * 48) + 9) * 1038) / (12 * 48 * (48 + 1) * (4 * 27690 - 1038))
APR = (12 * (4560 + 9) * 1038) / (12 * 48 * 49 * (110760 - 1038))
APR = (12 * 4569 * 1038) / (12 * 48 * 49 * 109722)
APR = 56830384 / 257289792
APR ≈ 0.2208

To convert this to percentage, multiply by 100: 0.2208 * 100 ≈ 22.08%

Since the adjusted cost of the dealer-arranged financing package (22.08%) is higher than the credit union loan's cost (8.8%), you should accept the rebate and finance your new vehicle using your credit union loan.

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Answer: $117

Step-by-step explanation: 1st subtract 3 then divide by 2 then subtract 3 again and divide by 2 again

To answer this question we will graph the function:

and the x-coordinates of the x-intercepts of the graph will be the solutions to the given equation.

The graph of the function

is:

From the graph, we get that the x-intercepts are (-8,0) and (11,0).

Therefore, the solutions to the given equation are x= -8 and x=11.

Answer: The solutions to the given equation are x= -8 and x=11.

Answer:

Answer 1 : 106.76

Answer 2 :  907.46

Step-by-step explanation: Find the radius by dividing the given diameter 34 cm by 2. The radius is 17 cm. Use this information to plug in the values for both the circumference and area. Since the radius is 17 and the formula for circumference is \(2\pi r\) you do 2(17)(3.14) cm and get 106.76 cm. Then for area the formula is \(\pi r^2\) so you do (3.14)(17)^2 ang get 907.46 cm^2.

Answer:

C= 106.76 A= 907.46

Step-by-step explanation:

C = 2πr

If the diameter is 34 cm the radius is 17 cm because radius is half of the diameter.

C = 2 (3.14) (17)

C = 2 (53.38)

C= 106.76

Area

A= πr^2

A= (3.14) 17^2

A = (3.14) 289

A= 907.46

The number of ways to select 2 men and 2 women for the debate tournament is 78 * 45 = 3510 ways.

To select 2 men from 13 male finalists, we can use the combination formula. The formula for selecting r items from a set of n items is given by nCr, where n is the total number of items and r is the number of items to be selected.
In this case, we want to select 2 men from 13 male finalists, so we have 13C2 = (13!)/(2!(13-2)!) = 78 ways to select 2 men.

Similarly, to select 2 women from 10 female finalists, we have 10C2 = (10!)/(2!(10-2)!) = 45 ways to select 2 women.
To find the total number of ways to select 2 men and 2 women, we can multiply the number of ways to select 2 men by the number of ways to select 2 women.

So, the total number of ways to select 2 men and 2 women for the debate tournament is 78 * 45 = 3510 ways.

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Answer:

10m

Step-by-step explanation:

Perimeter means adding up all of the sides of a shape.

One property of a square is that all lengths of a square are the same.

We also know squares have 4 sides.

Lets set up an expression to solve the length for each side with variable S representing the length of a side:

4 * S = 40

Divide each side by 4:

S = 10

Therefore, each side of the square has a length 10m

Answer:

  3, 8, 15

Step-by-step explanation:

Put the numbers 1, 2, and 3 where n is and do the evaluation for each of those values.

  n=1: 1(1+2) = 3

  n=2: 2(2+2) = 8

  n=3: 3(3+2) = 15

The first three terms are 3, 8, 15.

The value of the probability of choosing a green lollipop and a purple lollipop is, 8 / 45

We have to given that;

One bag contains 3 red lollipops and 2 green lollipops.

And, The other bag contains four purple lollipops and five blue lollipops.

Hence, The probability of choosing a green lollipop is,

P₁ = 2 / 5

And, The probability of choosing a purple lollipop is,

P₂ = 4 / 9

Thus, The value of the probability of choosing a green lollipop and a purple lollipop is,

P = P₁ ×  P₂

P = 2/5 × 4/9

P = 8/45

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The simple interest rate that will ensure that Bob's investment of R6,500 equals Alice's 3% compound interest per year investment is 3.2%.

The difference between simple interest and compound interest is that simple interest computes interest on the principal only for each period.

Compound interest computes interest on both the principal and accumulated interest for each period.

Alice:

Principal investment = R6,500

Compound interest rate per year = 3%

Investment period = 5years

Future value = R7,535.28 (R6,500 x 1.03⁵)

Total Interest R1,035.28 (R7,535.28 - R6,500)

Bob:

Principal invested = R6,500

The simple interest rate = r

Investment period = 5years

The future value of the simple interest investment, A = P(1+rt)

7,535.28 = 6,500(1 + 5r)

Dividing each side b 6,500:

1.15927 = (1 + 5r)

5r = 0.15927

r = 0.031854

r - 0.032

r = 3.2% (0.32 x 100)

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Calculate r, giving your answer correct to 1 decimal place.

Answer:

the answer is 1.5 i think

Step-by-step explanation:

Answer:-4/5

Step-by-step explanation:

(3,3)

(-2,-1)

Y2-y1/x2-x1

3- (-1)/ -2 -3

4/-5

Answer:

4 over 5 (4/5)

Step-by-step explanation:

Its extremely simple. You need to start from the lower point, and count up until you get to the same lime as the other point. Starting from the lower point, you count up 4 to get on the same line. Then, since its on the right, you count to the right 5, till you get to the dot, and you get 4/5. All you have to do is just count

Answer:

8 58/61.

Step-by-step explanation:

546/61 = 8 remainder 58

so it's 8 58/61.

The forecast for May using a five-month moving average is 39 (Option E).

Moving average is used for smoothing out time series data to find any trends or cycles within the data. A five-month moving average is the average of the past five months. To calculate the moving average, add up the sales for the previous five months and divide it by five.

According to the question, the sales for the previous five months are: Nov. 39 Dec. 27 Jan. 40 Feb. 42 Mar. 41 April 47

We have to add the sales of these five months, which gives:

27 + 40 + 42 + 41 + 47 = 197

To find the moving average for May, we divide this sum by 5:

197 / 5 = 39.4

Since we have to round the answer to the nearest whole number, we round 39.4 to 39, which is option E.

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Answer:

both have equal.............

Answer:

c = √52

Step-by-step explanation:

applying pythagoras theorem: a² + b² = c²

where 'a' and 'b' are legs and 'c' the hypotenuse.

Substitute values:

6² + 4² = c²

c² = 36 + 16

c² = 52

c = √52

No, it doesn't show that single individuals under the age of 25 have more insurance claims than the nationwide percent reported by the big insurance firm.

Hypothesis

Null hypothesis : H0: p = 0.68

Alternative hypothesis : Ha: p > 0.68

A random sample of 53 claims showed that 41 were made by single people under the age of 25.

Thus; p^ = 41/53 = 0.7736

The test statistic is

z = (p^ - p_o)/√(p_o(1 - p_o)/n)

z = (0.7736 - 0.68)/√(0.68(1 - 0.68)/41)

z = 0.0936/0.07285

z = 1.28

The p-value from z-score calculator, using z = 1.28, one tail hypothesis and significance level of 0.05,we have;

P(z > 1.28) = 0.100273

The p-value gotten is greater than the significance value and so we fail to reject the null hypothesis and conclude that there is insufficient evidence to support the claim.

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The area of the shaded sector is 4π square units.

To find the area of the shaded sector, we need to calculate the central angle formed by the sector. In this case, we are given that the angle JIK is 90 degrees, which means it forms a quarter of a full circle.

Since a full circle has 360 degrees, the central angle of the shaded sector is 90 degrees.

Next, we need to determine the radius of the circle. The line segment IJ represents the radius of the circle, and it is given as 4 units.

The formula to calculate the area of a sector is A = (θ/360) * π * r², where θ is the central angle and r is the radius of the circle.

Plugging in the values, we have A = (90/360) * π * 4².

Simplifying, A = (1/4) * π * 16.

Further simplifying, A = (1/4) * π * 16.

Canceling out the common factors, A = π * 4.

Hence, the area of the shaded sector is 4π square units.

Therefore, the area of the shaded sector, expressed as a fraction times π, is 4π/1.

In summary, the area of the shaded sector is 4π square units, or 4π/1 when expressed as a fraction times π.

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Answer:

The triangle is a scalene triangle because it has no line symmetry

Step-by-step explanation:

The solution to the initial-value problem x(x + 1) dy/dx + xy = 1, y(e) = 1 is y = ln(x + 1) / x.

To solve the given initial-value problem, we can use the method of integrating factors. Rearranging the equation, we have dy/dx + (xy / (x(x + 1))) = 1 / (x(x + 1)).

The integrating factor is given by μ(x) = exp ∫ (xy / (x(x + 1))) dx. Simplifying the integral, we have μ(x) = exp ∫ (1 / (x + 1)) dx = exp(ln(x + 1)) = x + 1.

Multiplying the entire equation by the integrating factor, we obtain (x + 1)dy/dx + xy = (x + 1) / (x(x + 1)).

The left side of the equation can be written as d((x + 1)y)/dx. Integrating both sides with respect to x, we have ∫ d((x + 1)y)/dx dx = ∫ (x + 1) / (x(x + 1)) dx.

Simplifying the right side of the equation, we get ∫ dx / x = ln|x| + C.

Dividing both sides by (x + 1), we have (x + 1)y = ln|x| + C.

Finally, solving for y, we find y = (ln|x| + C) / (x + 1). Using the initial condition y(e) = 1, we can substitute x = e and solve for C to obtain the specific solution y = ln(x + 1) / x.

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Answer:

g

Step-by-step explanation:

So basically first multiply the cups of clean total by 2 so it would equal 4 cups. This mean you would have 2/4 of white vinegar. Then divide the equation by 2 because we need 5 cups not 6 of spray. To have half of 1/4 we need to do 1/8 which is half of 1/4. Then we convert the first 2/4 by dividing by 2 and get 5/8.

IK this explanation isn't the best but hopefully it helps