(a) Dewi has £460 to buy Chinese yuan.
Calculate
.
the maximum number of CYN Dewi can buy, and
how much, to the nearest penny, this will cost him.

Answer:

Area = 23.12 cm²

perimeter = 24.28 cm

Step-by-step explanation:

top shaded region is circular arc with 90° sector angle

so perimeter of arc is 90 / 360 * 2πr

here radius of arc is half the length of square side

r = 6.8/2 = 3.4

top area shaded perimeter = 90/360 * 2 * 3.14 * 3.4

= 1/4 * 2 * 3.14 * 3.4

= 5.338

bottom region perimeter is also same

total perimeter of shaded region is = side + side + two arcs

= 6.8 + 6.8 + 2 * 5.338

= 13.6 + 10.676

= 24.276

= 24.28

Area of top shaded region is 90/360 * πr²

A = 1/4 * 3.14 * 3.4²

= 9.0746

bottom shaded region area is half of area of square - area of bottom arc

= 6.8 * 3.4  - 9.0746

= 23.12 - 9.0746

= 14.0454

so total area of shaded region is 9.0746 + 14.0454

= 23.12

or you can just calculate area as half of area of total square = 6.8² / 2

= 23.12

Answer:

The selling price of the diamond necklace at Shamin Jewelers after 10% discount is:

$442 * 0.9 = $397.80

The selling price of the same necklace at the competitor's store after 34% and 14% discount is:

$527 * 0.66 * 0.86 = $247.08

So, Shamin Jewelers needs to offer an additional discount to meet the competitor's price:

$397.80 - $247.08 = $150.72

To calculate the additional rate of discount, we divide the difference by the original selling price at Shamin Jewelers and multiply by 100:

($150.72 / $442) * 100 = 34.11%

Therefore, Shamin Jewelers must offer an additional 34.11% discount to meet the competitor's price.

Step-by-step explanation:

Answer:

∆ABC ≅ ∆EDF by the SAS Congruence Theorem.

Step-by-step explanation:

<A ≅ <E,

Side length AC ≅ Side length EF

Side length AB ≅ Side length ED,

Thus, this implies that an included angle and two sides of one triangle are congruent to an included angle and 2 corresponding side lengths of the other triangle.

Therefore, we would conclude that:

∆ABC ≅ ∆EDF by the SAS Congruence Theorem.

Answer:

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

Find the difference of the initial and used amounts:

Answer:

8/21

Step-by-step explanation:

-1/3 + 5/7=1×7 =-7/21 +15/21

- × -

3. 7

-7/21 + 15/21= -7+15 = 8/21

-----

21

Answer:

only god knows

Step-by-step explanation:

because they didn't give us an answer on how many text messages anyone sent

Answer:

b = 25 degrees

c = 81 degrees

d = 64 degrees

Step-by-step explanation:

\(\huge{ \mathfrak{ \purple{Answer}}}\)

Equation is

x+ 45 = 90°

And,

x = 90 - 45 = 45°

\( \sf{\red{x = 45}}\)

Answer:

V = 460.68

Step-by-step explanation:

V=(lwh)/3

From the table , the insurance cost for the second year based on the prescription given is : $1329

Using the prescription table, the six cylinder compact , second year car with a mileage of 14000 falls in the mid table category with the 13000 mileage label .

The operating cost in insurance for the second year is therefore $1329.

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ANSWER:

(E) 0.04

(F) 0.004

(G) 1

STEP-BY-STEP EXPLANATION:

We can calculate the distance by subtraction, subtracting the smaller number from the larger number.

We calculate in each case:

The perimeter of the rectangle is 62 square units.

The perimeter of a rectangle can be calculated using the formula:

P = 2(L + W)

Where:

L is the length of the rectangle

W is the width of the rectangle

We have:

L = 20 units

W = 11 units

Substituting into the formula:

P = 2(20 + 11)

P = 2(31)

P = 62 square units

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Question in English

What is the perimeter of a rectangle if it is 20 long and 11 wide?

The software engineers can be seated on a round table with no two civil engineers sitting together is 9!×10!/4!

Given, a company has 10 software engineers and 6 civil engineers.

we need to determine in how many ways can they be seated around a round table so that no two civil engineers will sit together.

10 software engineers can be arranged around a round table in :

=(10-1)!

= 9! ways .... eq(A)

Now, we must arrange the civil engineers so that no two can sit next to one another. In other words, we can place 6 civil engineers in any of the 10 *-designated roles listed below.

This can be done in ¹⁰P₆ ways ...(B)

From A and B,

required number of ways  = 9!×¹⁰P₆

= 9! × 10!/4!

Hence the number of ways the engineers can be seated is 9! × 10!/4!.

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Answer:

whats the question???

Step-by-step explanation:

Answer: theres no question????? um but uh hope ur having a good day

Step-by-step explanation:

:?

Given statement solution is :- It takes 4 months to pay off the card, and the total amount paid, including interest, is $1600.

To determine the number of months it takes to pay off the credit card and the total amount paid, including interest, we can follow these steps:

Step 1: Calculate the monthly interest rate.

The APR (Annual Percentage Rate) is given as 9.5%. To find the monthly interest rate, we divide this by 12 (the number of months in a year):

Monthly interest rate = 9.5% / 12 = 0.0079167

Step 2: Determine the monthly payment.

The monthly payment is given as $400.

Step 3: Calculate the interest and principal paid each month.

The interest paid each month can be calculated by multiplying the monthly interest rate by the current balance.

Principal paid = Monthly payment - Interest paid

Step 4: Track the remaining balance each month.

Starting with the initial balance of $1,367.90, subtract the principal paid each month to determine the new balance.

Step 5: Repeat Steps 3 and 4 until the balance reaches zero.

Continue calculating the interest and principal paid each month, updating the balance, until the remaining balance becomes zero.

Step 6: Determine the total number of months and the total amount paid.

Count the number of months it takes to reach a balance of zero. Multiply the number of months by the monthly payment ($400) to find the total amount paid.

Let's calculate the number of months and the total amount paid, including interest:

Month 1:

Interest paid = 0.0079167 * $1,367.90 = $10.84

Principal paid = $400 - $10.84 = $389.16

New balance = $1,367.90 - $389.16 = $978.74

Month 2:

Interest paid = 0.0079167 * $978.74 = $7.75

Principal paid = $400 - $7.75 = $392.25

New balance = $978.74 - $392.25 = $586.49

Month 3:

Interest paid = 0.0079167 * $586.49 = $4.64

Principal paid = $400 - $4.64 = $395.36

New balance = $586.49 - $395.36 = $191.13

Month 4:

Interest paid = 0.0079167 * $191.13 = $1.51

Principal paid = $400 - $1.51 = $398.49

New balance = $191.13 - $398.49 = -$207.36 (Paid off)

It takes 4 months to pay off the credit card. Now, let's calculate the total amount paid, including interest:

Total amount paid = 4 * $400 = $1600

Therefore, it takes 4 months to pay off the card, and the total amount paid, including interest, is $1600.

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Answer:

0.70

Step-by-step explanation:

it’s 0.70 because the 0.675 is rounded

The 7 is more than 5 so it’s closer to 8 which that you round up the 6 to a 7 and the same thing with 5. So that is how I know it’s 0.70 after rounding it.

Answer:

0.70

Consider the rounding rule for each place.

6 ≈ next tenths

7 ≈ next tenths

5 ≈ next tenths

This is because...

The optimal solution is to assign team 1 to game A, team 2 to game C, and team 3 to game B. The total distance traveled by the officials is 200km.

A) Objective Function:

Minimize Z = 90x1A + 10x1B + 100x1C + 50x2A + 40x2B + 40x2C + 60x3A + 170x3B + 90x3C

Constraints:

x1A + x1B + x1C = 1

x2A + x2B + x2C = 1

x3A + x3B + x3C = 1

x1A, x1B, x1C, x2A, x2B, x2C, x3A, x3B, x3C ≥ 0

B) The optimal solution is as follows:

x1A = 1

x1B = 0

x1C = 0

x2A = 0

x2B = 0

x2C = 1

x3A = 0

x3B = 1

x3C = 0

Z = 200 km

1. Create the objective function

Z = 90x1A + 10x1B + 100x1C + 50x2A + 40x2B + 40x2C + 60x3A + 170x3B + 90x3C

2. Set the constraints

x1A + x1B + x1C = 1

x2A + x2B + x2C = 1

x3A + x3B + x3C = 1

x1A, x1B, x1C, x2A, x2B, x2C, x3A, x3B, x3C ≥ 0

3. Solve the linear programming problem

Using QM, the optimal solution is:

x1A = 1

x1B = 0

x1C = 0

x2A = 0

x2B = 0

x2C = 1

x3A = 0

x3B = 1

x3C = 0

4. Calculate the total distance

Z = 90x1A + 10x1B

The optimal solution is to assign team 1 to game A, team 2 to game C, and team 3 to game B. The total distance traveled by the officials is 200km.

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Answer:

0.1056 = 10.56% probability that their average salary is more than $77,500.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean $75,000 and standard deviation $8,000.

This means that \(\mu = 75000, \sigma = 8000\)

Sample of 16

This means that \(n = 16, s = \frac{8000}{\sqrt{16}} = 2000\)

What is the probability that their average salary is more than $77,500?

This is 1 subtracted by the pvalue of Z when X = 77500. So

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{77500 - 75000}{2000}\)

\(Z = 1.25\)

\(Z = 1.25\) has a pvalue of 0.8944

1 - 0.8944 = 0.1056

0.1056 = 10.56% probability that their average salary is more than $77,500.

Answer:

Is there a question?

Step-by-step explanation:

Hello??

Answer:

15 hours

Step-by-step explanation:

5/8of a day=5/8*24=15hours

Therefore, Joni will spend 15 hours of a day working and 75 hours of a week (5 days) working

Joni will spend 15 hours working, which is five-eighths of a 24-hour day.

To calculate the amount of time Joni will spend working, you need to find five-eighths of twenty-four hours:

Time spent working = (5/8) * 24 hours

Time spent working = 15 hours

Therefore, Joni will spend 15 hours working.

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Answer: D

Step-by-step explanation:

all work should be in the picture, lmk if theres anything confusing

Answer: $314,901

Step-by-step explanation: 3.7% of $327,000 is $314,904

In order to graph each equation, we need two points of that equation.

a)

For y = 3x - 3, let's use the points (0, -3) and (1, 0)

For y = -3x + 9, let's use the points (2, 3) and (3, 0)

Graphing the first equation in blue and the second one in green, we have:

We can see that the lines have an intersection point, therefore the system has one solution.

b)

For y = -x + 4 let's use the points (1, 3) and (2, 2)

For y = -(2/3)x + 3 let's use the points (3, 1) and (6, -1)

Graphing the first equation in blue and the second one in green, we have:

We can see that the lines have an intersection point, therefore the system has one solution.

c)

For y = (1/2)x - 3.5 let's use the points (1, -3) and (3, -2)

For y = 3x - 11 let's use the points (3, -2) and (4, 1)

Graphing the first equation in blue and the second one in green, we have:

We can see that the lines have an intersection point, therefore the system has one solution.

d)

For y = (3/4)x - 4 let's use the point (4, -1) and (0, -4)

For y = x - 5 let's use the points (3, -2) and (2, -3)

Graphing the first equation in blue and the second one in green, we have:

We can see that the lines have an intersection point, therefore the system has one solution.

awnser

12

Step-by-step explanation:

The Solution:

The correct answer is [option 2]

Given:

We are asked to find the area of the 4 squares in the above figure given that the side of each small square is 6cm.

The area is:

Thus, the correct answer is [option 2]

Answer:

D=40

C=140

E=140

Step-by-step explanation:

opposite angles are congruent in parallelograms, so D is equal to 40. Also, the interior angles of any quadrilateral always equal 360, and because there are only 2 angles left that we don't know what they equal, if we add 40 to 40, which equals 80, and then subtract 80 from 360, we get 280, which we then divide by 2, to get 140 for C and E.