pls help..A toy store orders jigsaw puzzles for 3.05 and sells tham for 4.95 what is the percent of markup

a) 19%

b)38.5%

c)61.2%

d)62.3%

Solution:

Given that;

The price of a house decreased from $400, 000 to $300, 000 in one year

The difference is

The percentage decrease will be

Hence, the percentage decrease is 25%

The required probability \(x y \le 4$.\)is ln4/8.

We are given that a point (x,y) is randomly selected such that

\(0 \le x \le 8$ \\$0 \le y \le 4$.\)

We have to find the probability that \(x y \le 4$.\)

Since the line xy=4.It is the rectangular hyperbola with asymptotes x=0,

y=0, x=4 and y=1.

The area in the first quadrant bounded by the hyperbola xy=4, the x-axis and the y-axis is equal to \(\int_{0}^{4} \frac{4}{x} dx=4\ln4\).

The rectangle that is formed by the intersection of the lines x=8 and y=4 with the coordinate axes is;

\($8\cdot 4=32$\).

The probability that the point (x,y) is in the area \(xy\leq 4\) is equal to the ratio of the area of the region inside the hyperbola to the area of the rectangle.

Thus, the required probability is

\(\frac{4\ln4}{32}=\boxed{\frac{\ln4}{8}}.$$\)

Therefore, the required probability is \($\boxed{\frac{\ln4}{8}}$\).

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Answer:

Step-by-step explanation:

slope is   -60

it's the rate of change... in the distance to the destination

Answer:

The answer is y=x-5

Step-by-step explanation:

y=x-5

Venn Diagram

Venn diagram is use in answering word problems that involve two sets or three sets. It is the principal way of showing sets diagrammatically. This method consists of entering the elements of a set into a circle or circles.

To represent the given results, let us analyze the problem.

The problem above involves three sets: cats, dogs and birds. - Meaning, we need to make three circles. Then label each with cats, birds and dogs respectively.

10 students liked cats and birds but not dogs - Write 10 in the overlap of cats and birds.

6 students liked cats and dogs but not birds - Write 6 in the overlap of cats and dogs.

2 students liked dogs and birds but not cats - Write 2 in the overlap of birds and dogs.

2 students liked all three pets - Write 2 in the overlap of birds, cats and dogs.

9 students liked dogs only - Write 9 inside the dog part.

10 students liked cats only - Write 10 inside the cat part.

1 student liked birds only - Write 1 in inside the bird part.

I'll attach the venn diagram.

Definition of venn diagram:

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Answer:

If Benny makes $20 an hour babysitting, his 35% increase would be:

35% of $20 = 0.35 x $20 = $7

This means that Benny could make an extra $7 per hour if he babysits an extra kid. Therefore, his new hourly wage would be:

$20 + $7 = $27

So, if Benny babysits an extra kid, he could make $27 per hour.

Step-by-step explanation:

Answer:

f(-8) = 2

Step-by-step explanation:

  y = f(x)

Here, x co-ordinate is an input value, and the y co-ordinate of each point is the corresponding output value.

x = -8. The corresponding y value of -8 is 2

f(-8) = 2

the product of 3√3cis(π/8) and 3√5cis(2π/3) is 9√15cis(7π/24).To multiply two complex numbers in polar form, we multiply their magnitudes and add their angles.

Here, we have:

3√3cis(π/8) = 3√3(cos(π/8) + i sin(π/8)), with magnitude 3√3 and angle π/8

3√5cis(2π/3) = 3√5(cos(2π/3) + i sin(2π/3)), with magnitude 3√5 and angle 2π/3

To find the product, we multiply the magnitudes and add the angles, which gives:

(3√3)(3√5)cis(π/8 + 2π/3) = 9√15cis(7π/24)

Therefore, the product of 3√3cis(π/8) and 3√5cis(2π/3) is 9√15cis(7π/24).

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Answer:

D. 28

Step-by-step explanation:

This answer is it because 28 is greater than 25.

-8h - 12

The algebraic expression is 4x - 12

Here x = -2h is given, now we have to substitute this in the algebraic expression.

The algebraic expression is;

4x -12 = 4(-2h) - 12

          = -8h - 12

Therefore the value is -8h -12.

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a) If $1,000 is invested for 1 year in a CD earning 6.05% interest compounded monthly, the future value ofo the account is $1,062.21.

b) If $1,000 is invested for 1 year in a CD earning 20% interest compounded monthly, the future value ofo the account is $1,219.39.

c) If $1,000 is invested for 1 year in a CD earning 0.25% interest compounded monthly, the future value ofo the account is $1,002.50.

d) Changes in interest rates over the past years have affected the savings and the purchasing power of average Americans by increasing their savings while reducing their purchasing power.

The future value can be determined using an online finance calculator.

The future value shows the present value or investment compounded at an interest rate.

a) Future value of $1,000 at 6.05%:

N (# of periods) = 12 months (1 years x 12)

I/Y (Interest per year) = 6.05%

PV (Present Value) = $1,000

PMT (Periodic Payment) = $0

Results:

Future Value (FV) = $1,062.21

Total Interest = $62.21

b) Future value of $1,000 at 20%:

N (# of periods) = 12 months (1 years x 12)

I/Y (Interest per year) = 20%

PV (Present Value) = $1,000

PMT (Periodic Payment) = $0

Results:

Future Value (FV) = $1,219.39

Total Interest = $219.39

c) Future value of $1,000 at 20%:

N (# of periods) = 12 months (1 years x 12)

I/Y (Interest per year) = 0.25%

PV (Present Value) = $1,000

PMT (Periodic Payment) = $0

Results:

Future Value (FV) = $1,002.50

Total Interest = $2.50

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Answer:

Step-by-step explanation:

Recall that the formula for the circumference of a circle is:

\(2\pi r\)

Also recall that the formula for the area of a circle is:

\(\pi r^2\)

Both formulas use the radius; one squares it, while the other doubles it.

Let's start by turning the formula for the circumference of a circle into the formula for the area of a circle. We start off with:

\(2\pi r\)

We want to square the radius, but we can't do that without squaring everything else, too, so let's get rid of the other terms.

Divide the circumference by \(2\pi\):

\(2\pi r\\\frac{2\pi r}{2\pi } =\\r\)

Now, we can square r:

\(r\\r^2\)

Now, all we have to do is multiply by pi:

\(r^2\\\pi r^2\)

We now have the area.

Let's look back at out steps.

First, we divided the circumference by \(2\pi\).

Next, we squared the number we had left (the radius).

Finally, we multiplied by \(\pi\).

Answer:

7

Step-by-step explanation:

you divide 98 by 14

:) :)

Answer:

Im not too sure because I haven't done this in a while but, I think the answer is 60cm, don't come at me if its wrong plssss

Step-by-step explanation:

if u divide it along the far left, closer to 12cm, u would have 2 rectangles. they would Both be close and If u added up 12cm and 12cm that would give you 24cm, and if you go to the other rectangle it would be 18 cm plus 18cm that would be 36cm. u do not multiply since it is perimeter and not area. Hope it helped!

Answer:

60 cm

Step-by-step explanation:

18+18+12+12

30+30

60

the 4 unknown sides we know that the 2 lengths equal 18 cm because both of them together are the same length as the base and the 2 widths add up to be 12 cm since it is the same size as the 12 cm width when added together if that makes sense

Hopes this helps

To verify whether the languages of two regular expressions r and s are equal, we can follow these steps:

Construct the finite automata for r and s.

Convert both the finite automata to their corresponding deterministic finite automata (DFA).

Minimize the DFAs obtained in step 2.

Compare the minimized DFAs to check if they are equivalent.

If the DFAs are equivalent, then the languages of r and s are also equal.

Alternatively, we can directly compare the regular expressions r and s by using the following algorithm:

Convert both r and s to their equivalent minimal deterministic finite automata (DFA).

Construct the product DFA of the two DFAs obtained in step 1.

Check if the accepting states of the product DFA correspond to the same regular expressions in r and s.

If the accepting states correspond to the same regular expressions, then l(r) = l(s). Otherwise, l(r) ≠ l(s).

Note that the above algorithm may not be efficient for larger regular expressions, and in such cases, constructing the minimal DFAs may be a more practical approach.

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Answer: $48.06

Step-by-step explanation:

Simply take the sales price minus the unit cost, and divide that number by the unit cost. Then, multiply by 100 to determine the markup percentage. For example, if your product costs $50 to make and the selling price is $75, then the markup percentage would be 50%: ( $75 – $50) / $50 = . 50 x 100 = 50%.

Answer:

You would pay $48.06

Step-by-step explanation:

27*0.78 = 21.06

27 + 21.06 = 48.06

To determine how much money we had in the first place we can use a rule of three:

Then we have that:

Therefore, you originally has $200

The function to return the nth word of the sentence will be given as -

def get_word(sentence, n):

# Only proceed if n is positive

if n > 0 :

words = sentence.split()

# Only proceed if n is not more than the number of words

if n <= len(words) :

return words[n-1]

return("")

According to the data given in the question we can see that the method to obtain the string will be the split string method,

According to the split string method, we separate distinct parts of the strings based on the delimiter using signs such as comma(,), hyphen(-), whitespace), etc.

To extract the 4th word in the sentence, we will assume position 3 for the 4th word.

#The function to print lesson counting from 0,

print(get_word("This is a lesson about lists", 4))

print(get_word("This is a lesson about lists", -4))

#No printing as the first condition is not met

print(get_word("Now we are cooking!", 5))

#No printing occurs as it also does not meet the condition of the second statement.

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Diogo's optimal bundle is q1 ≈ 12.77 units of chocolate candy and q2 ≈ 74.46 units of slices of pie.

To find Diogo's optimal bundle, we need to maximize his utility function subject to his budget constraint. The budget constraint is given by:

p1q1 + p2q2 = Y

Substituting the given values:

2q1 + 1q2 = 100

We can rewrite this as:

q2 = (100 - 2q1) / 1

Now, let's maximize Diogo's utility function:

U(q1, q2) = q1^0.2 * q2^0.8

Substituting the expression for q2:

U(q1) = q1^0.2 * [(100 - 2q1) / 1]^0.8

To find the optimal bundle, we need to find the value of q1 that maximizes U(q1). We can do this by taking the derivative of U(q1) with respect to q1 and setting it equal to zero:

dU(q1) / dq1 = 0.2q1^(-0.8) * [(100 - 2q1) / 1]^0.8 - 0.8q1^0.2 * [(100 - 2q1) / 1]^(-0.2) * (-2 / 1) = 0

Simplifying the equation:

0.2[(100 - 2q1) / q1]^0.8 = 0.8

[(100 - 2q1) / q1]^0.8 = 4

Taking both sides to the power of 1/0.8:

(100 - 2q1) / q1 = 4^(1/0.8)

Solving for q1:

100 - 2q1 = 4^(1/0.8) * q1

100 = (4^(1/0.8) + 2) * q1

q1 = 100 / (4^(1/0.8) + 2)

Calculating the value of q1:

q1 ≈ 12.77

Now we can substitute this value back into the budget constraint to find q2:

2q1 + q2 = 100

2(12.77) + q2 = 100

25.54 + q2 = 100

q2 = 100 - 25.54

q2 ≈ 74.46

Therefore, Diogo's optimal bundle is q1 ≈ 12.77 units of chocolate candy and q2 ≈ 74.46 units of slices of pie.

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The exact value of tan(2arcsin(x)) is 2x / √(1 - x²), where |x| ≤ 1.

To find the exact value of tan(2arcsin(x)), we start by considering the definition of arcsin. Let θ = arcsin(x), where |x| ≤ 1. From the definition, we have sin(θ) = x.

Using the double angle identity for tangent, we have tan(2θ) = 2tan(θ) / (1 - tan²(θ)). Substituting θ = arcsin(x), we obtain tan(2arcsin(x)) = 2tan(arcsin(x)) / (1 - tan²(arcsin(x))).

Since sin(θ) = x, we can use the Pythagorean identity sin²(θ) + cos²(θ) = 1 to find cos(θ). Taking the square root of both sides, we have cos(θ) = √(1 - sin²(θ)) = √(1 - x²).

Now, we can determine the value of tan(arcsin(x)) using the definition of tangent. We know that tan(θ) = sin(θ) / cos(θ). Substituting sin(θ) = x and cos(θ) = √(1 - x²), we get tan(arcsin(x)) = x / √(1 - x²).

Finally, substituting this value into the expression for tan(2arcsin(x)), we obtain tan(2arcsin(x)) = 2x / (1 - x²).

Therefore, the exact value of tan(2arcsin(x)) is 2x / √(1 - x²), where |x| ≤ 1.

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Answer:

50 cards

Step-by-step explanation:

28*2= 56

56-6=50

Answer:

50

Step-by-step explanation:

28 x 2 = 56

56 - 6 = 50

ANSWER :

The answers are :

a. 3.03

b. -9.09

c. 55.775 lbs

EXPLANATION :

The z-score formula is :

From the problem, we have :

a. z-score when x = 60 lbs.

That will be :

b. z-score when x = 30 lbs below the mean, the mean weight is 50 lbs, so it will be x = 50 - 30 = 20

The z-score will be :

c. weight when it is 1.75 standard deviations above the mean weight.

Above the mean weight denotes that the z-score is positive.

Substitute z = 1.75 and solve for x :

Answer:

5(x-2)-(X+3)=x-8

5x-10-x-3=x-8

4x-13=x-8

4x-x=(-8)+13

3x=5

X=5/3

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Answer:

-5

Step-by-step explanation:

Answer:

5 times bigger

Step-by-step explanation:

(6-4) = 2

(6-4) x 5 = 10

Answer:

312,000,000

Step-by-step explanation:

Standard notation is when you move the decimal however many times the 10 is being squared by. In this case, it is 8.

Since the 8 is not negative, we move it 8 times to the right.

Since there are only 2 digits, we add 6 more zeros because 2+6=8

that is how you get 312,000,000

Step-by-step explanation:

Variable coefficients unequal

No Solution

-11x+2 = 7-11x

-11x+11x = 7-2

0 = 5

Coefficients - 11 and +11 are not equal

0 = 5 is not a valid solution

Answer:

D. 5

Step-by-step explanation:

a geometric sequence is defined that any item of the sequence is created by multiplying the previous item of the sequence with a constant factor (it is the same factor for every item in the sequence).

so, we have the starting value

a1 = 3

then

a2 = 15

what is a multiplication factor to go from 3 to 15 ?

well, 5. I need to multiply a1 by 5 to get a2.

and this continues.

a3 = a2×5 = 15×5 = 75

a4 = a3×5 = 75×5 = 375

and so on.

the ratio of the sequence is simply the relation of one sequence item to the previous one :

an/an-1

and that is here for the described reasons 5.

a) The function f(x, y)=  \(2e^-^x - y, z = -7, 11.\) The curves are decreasing exponential functions.

b) The y - intercept of the level curves for the  value of k are found as:

k = -7 => y = 9

c)The y values of the asymptotes of the level curves for these values of k are found as

k = -7 => y = 7.

The level curves of a function of two variables

z = f(x, y)

are the curves where the function assumes a constant value k.

Therefore, the curves are solution of the equation

f(x, y) = k

The level curves of the function for the given values of z.

f(x, y) = \(2e^-^x - y, z = -7, 11.\)

are found solving the equation

\(f(x,y) =k = > 2e^-^x-y=k\\\\= > y= 2e^-^x-k\)

The curves are decreasing exponential functions. See the graph of the function.

b) The y - intercept of the level curves for the  value of k are found as:

x = 0 => y = 2 - k

k = 11 => y = -9

k = -7 => y = 9

c) The y values of the asymptotes of the level curves for these values of k are found as

\(\lim_{x \to \infty} 2e^- ^x-k=-k\)

k = 11 => y = -11

k = -7 => y = 7.

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Answer:

144 m^3

Step-by-step explanation:

Please find attached the image of the prisms

Volume of a triangular prism = area of the base x height  of the prism

Area of the base = 1/2 ( base x height)

the two prisms are similar, thus, the dimensions of the bigger rectangle can be gotten from the ratio of the base of the smaller and bigger triangle

ratio of their dimensions = 6 / 1.5 = 4

the dimensions of the bigger triangle is 4 times that of the smaller triangle

height of the base of the prism = 1.5 x 4 = 6

Height of the prism = 2 x 4 = 8

Area of the base of the prism = (1/2) x 6 x 6 = 18 m^2

Volume of the prism = 18 x 8 = 144 m^3

Answer:

D. 144 m^3

Step-by-step explanation:

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