In parallelogram EFGH, MLH =
F
Зу
(3x - 15)°
2(y + 1)
H
(7x- 5)°
y + 8
o and HG
＝

Answer:

103,847

103,847.0

Step-by-step explanation:

Step 1: Multiply the two numbers: 573.06 x 184.25 = 106,157.45

Step 2: Round the answer to four significant figures: 106,200

Answer:

(1,1)

Step-by-step explanation:

When the principal is $ 34000, the rate is 7.5%, and the time period is 100 days, the simple interest is $ 698.63.

Increase the investment by the lending rates, the length of time, and other factors to arrive at simple interest. Simple return = money + interest + hours is the selling formula. This method makes it easiest to calculate interest. The most conventional technique to figure out interest is as a portion of the principal sum. He will indeed pay his share of the 100percent interest, for example, if he buys $100 from just a friend and offers to pay it back with 5% interest. $100 (0.05) = $5. When you borrow more money, you should pay interest, then when you give it out, you must charge interest. Interest is often determined as an extra component of the loan total. The interest on the loan is this percentage.

given

r = R/100 = 7.5%/100 = 0.075 per year,

putting time into years for simplicity,

100 days ÷ 365 days/year = 0.273973 years,

then, solving our equation

I = 34000 × 0.075 × 0.273973 = 698.63115

I = $ 698.63

When the principal is $ 34000, the rate is 7.5%, and the time period is 100 days, the simple interest is $ 698.63.

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Part A. The cost of b books at $12 each can be found with the expression: 12 * b

Part B. The total cost to pay a babysitter who charges $10 per hour and $5 in gas can be found with the expression: 10 * h + 5

Answer:

6 to right

Step-by-step explanation:

The value of y when x equals 0 on f(x) is 1. By looking at the graph of g(x), it looks like it reaches the value of y = 1 when x is 6. It also This means the same point is shifted over 6 to the right (considering it looks like no other modifications are made other than the shift).

The values that will complete the function table are;

B) –3, 0, 3

The function we are trying to solve is expressed as;

y = ∛x

When x = -27, we have the result as;

y = ∛-27

y = -3

When x = 0, we have;

y = ∛0

y = 0

When x = 27, we have;

y = ∛27

y = 3

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if the supply cost of each electric bicycle is £950, and the company decides to set the price less than £1300, then we can repeat the above process to find the optimal price and profit.

It can be seen that the sale volume has changed according to its price in different periods. The values have been reported in the following table. This company is going to launch a new product and the price needs to be decided based on the market analysis. Determine the appropriate price for the newly developed electric bicycle with the aim of maximizing the company’s profit. The demand for new products has a direct relationship with its price.

Table 1- Demands of an electric bicycle based on a price level according to previous experiences

Price (£)  Demand

1150  415

1185  405

1210  390

1235  380

1260  345

1285  302

1310  270

1335  255

1360  246

1385  240

1410  230

1435  222

1460  216

1485  214

1510  210

1540  200

The main objective of the company is to maximize profit regarding to the new product. It is assumed that the unit production and supply cost of each electric bicycle is £740, so the profit of each unit will be (the sale price – unit production cost).

Determine the optimal demand

Compute the optimal profit.

Interpret the results.

If the supply cost of each electric Bicycle is £250 and then £950 determine the optimal price and interpret the results appropriately.

Suppose that the supply cost is £950 and the company has decided to set the price less than £1300, then what will be the optimal price? Interpret the results

To find the optimal price, we need to find the price that maximizes the company's profit. Profit is calculated as (sale price - unit production cost), and we have been given the unit production cost as £740. So, the profit function can be written as:

Profit = (sale price - £740) * demand

Using the data in the table, we can plot the demand as a function of price and then calculate the profit for each price level:

Price (£) Demand Profit (£)

1150 415 121,750

1185 405 133,650

1210 390 141,600

1235 380 146,200

1260 345 140,100

1285 302 113,640

1310 270 75,600

1335 255 67,170

1360 246 66,480

1385 240 66,600

1410 230 63,700

1435 222 62,820

1460 216 62,160

1485 214 62,370

1510 210 61,500

1540 200 59,200

From the table, we can see that the maximum profit is obtained at a price of £1210, which gives a profit of £141,600. The optimal demand at this price is 390 units.

Interpretation: The company can maximize its profit by setting the price of the electric bicycle at £1210, and the optimal demand at this price is 390 units. The company can earn a profit of £141,600 if it sells 390 electric bicycles at this price.

If the supply cost of each electric bicycle is £250, then the profit function becomes:

Profit = (sale price - £250 - £740) * demand

Profit = (sale price - £990) * demand

Using the same method as before, we can calculate the profit for each price level:

Price (£) Demand Profit (£)

1150 415 157,450

1185 405 169,950

1210 390 177,300

1235 380 181,300

1260 345 174,150

1285 302 146,890

1310 270 110,250

1335 255 96,525

1360 246 95,040

1385 240 95,400

1410 230 92,400

1435 222 91,512

1460 216 90,720

1485 214 91,422

1510 210 89,100

1540 200 85,600

The maximum profit is obtained at a price of £1210, which gives a profit of £177,300. The optimal demand at this price is 390 units.

Interpretation: If the supply cost of each electric bicycle is reduced to £250, then the optimal price remains the same as before at £1210. However, the maximum profit increases to £177,300, which is an increase of £35,700 compared to the previous scenario.

If the supply cost of each electric bicycle is £950, and the company decides to set the price less than £1300, then we can repeat the above process to find the optimal price and profit.

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The division expression is (5x³ - 22x² - 17x + 11)/(x - 5) = 5x² + 3x -  2 + (2/(x - 5))

From the question, we have the following parameters that can be used in our computation:

(5x³ - 22x² - 17x + 11)/(x - 5)

Using a synthetic setup, we have

x - 5 = 0

This gives

x = 5

So, the set up becomes

5 | 5   -22   -17   11

The synthetic division is then carried out as follows

5 | 5   -22   -17   11

           25   15   -10

     5     3     -2   1

So, we have

Quotient = 5   3   -2

Remainder = 1

Introduce the variable

Quotient = 5x² + 3x -  2

Remainder = 2

Hence, the quotient is 5x² + 3x -  2 and the remainder is 2

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Answer: The real answer is 15,488 over 7 square centimeters.

Step-by-step explanation:

For this question, you need to use the formula for surface area of a cylinder: SA = 2πr^2 + 2πrh

Since the label DOES NOT cover the bases, you do not need to do the first part of the formula (2πr^2) because that part is finding the area of the bases. We are only looking for how many square centimeters the label IS covering.

2πrh

So times the radius by 2.

22 * 2 = 44

Now times 44 by the height

44 * 16 = 704

And finally, times 704 by 22/7

22/7 * 704 = 15,488 over 7 square centimeters

So 15,488 over 7 square centimeters is the answer.

You might get it in decimal form (something like this number 2,212.5714285) but if you divide 15,488 by 7 you will get the same decimal.

Also, I did the same test and got 100% so I know the right answer

I have a photo of the question from my test:

Have a good day :)

Answer:

a. 250+0.10x=y

b. 250+0.10x=260

-250. -250

———————————-

0 + 0.10x = 10

——— ——-

0.10 0.10

—————————————-

X = 100

( you drove 100 miles )

Step-by-step explanation:

In question A, basically you already have a base of 250 and you add 0.10, multiplying it with x, which is the number of miles, equals to the total amount. So the answer for that question is : 250+0.10x = y. For question B, you just had to substitute the y for 260, and solve for x ( subtract 250 from both sides, divide by 0.10 on both sides, and you get x = 100. So the answer for that question is you drove 100 miles.
hope this helped =)

The cost of renting a car can be formulated as y = 250 + 0.10x, with y representing the total cost and x the distance travelled. If the total cost was $260, then 100 miles were driven.

The car rental agency's charge can be represented as a linear equation with a fixed cost ($250/week) plus a variable cost ($0.10/mile). This can be represented algebraically as: y = 250 + 0.10x, where y is the total weekly cost and x signifies the number of miles driven.

To find out how many miles (x) were driven for a total cost of $260, substitute y with 260 in the equation and solve for x:

Therefore, if the weekly cost to rent the car was $260, you drove 100 miles.

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The equation of the line is y = (1/2)x - 3.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The line passes through (0, -3) and (4, -1)

Now,

The equation of a line is y = mx + c

m = (-1 + 3) / (4 - 0)

m = 2/4

m = 1/2

Now,

(0, -3) = (x, y)

y = mx + c

-3 = (1/2) x 0 + c

-3 = c

c = -3

Thus,

y = (1/2)x - 3 is the equation of the line.

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Answer:

40 grams

Step-by-step explanation:

........................

Answer: 0.10x grams

Step-by-step explanation:

A linear equation is an equation in which each term has at max one degree. The table that represents a linear function is Table 1. Thus, the correct option is A.

A linear equation is an equation in which each term has at max one degree. Linear equation in variable x and y can be written in the form y = mx + c

Linear equation with two variables, when graphed on a cartesian plane with axes of those variables, give a straight line.

For the table to represent a linear function, the function must have a constant slope between any two points.

For the first table, the slope between the first two points is,

m = (7-3)/(2-1) = 4

The slope between the last two points is,

m = (15-11)/(4-3)

Hence, the table that represents a linear function is Table 1. Thus, the correct option is A.

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Answer: The diagonals of a parallelogram bisect each other, then. QM = PQ = 21. Explore all similar answers.

Step-by-step explanation: got do the d

Step-by-step explanation:

n + (n+1) + (n+2) = 417

3n + 3 = 417

3n = 414

n = 138

so, the 3 integers are

138, 139, 140

Answer:

138

Step-by-step explanation:

n,n+1,n+2

so 3n+3=417

3n=414

n=138

The unit circle has the co-ordinates (-√2/2, -√2/2)

In mathematics, trigonometric functions are real functions that relate an angle of a right-angled triangle to ratios of two side lengths. The six trigonometric functions are Sine, Cosine, Tangent, Secant, Cosecant, and Cotangent.

Given here: The unit circle and the point makes an angle of 225

we know the co-ordinates of any point on the unit circle is given by

x=cost and y=sint where t is the angle that line passing through the origin containing the point makes with x-axis

Thus x=cos225

           =-√2/2

and y=sin225

        =-√2/2

Hence, The required point is given by co-ordinates (-√2/2, -√2/2)

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Answer:

The expression equivalent to

−

2

√

√

+

7

√

−2w+w+7w is 7√ - 2w.

There is evidence of a positive association between liking rock and liking rap as this can be seen from the fact that a larger proportion of students who like rock also like rap.

When the values of two variables tend to rise together, this is referred to as a positive association between the two variables. When the values of one variable tend to fall as the values of the other variable rise, there is a negative relationship between the two variables.

There is proof that liking rap and liking rock are positively correlated. The fact that more pupils who enjoy rock also like rap (27 out of 33, or 81.8%) than those who don't like rock (17 out of 21, or 80.9%) demonstrates this.

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54 students from a local high school were asked two questions about musical preferences: “Do you like rock?” “Do you like rap?” The responses are summarized in the table below. Is there evidence of a positive association between liking rock and liking rap

likes rap doesn't like rap

likes rock 27 6

doesn't like rock 4 17

Answer:

  (d)  see below

Step-by-step explanation:

You want the graph of g(x) = f(x+3) given the graph of f(x).

The graph of the parent function f(x) is translated right h units and up k units by ...

  g(x) = f(x -h) +k

Here, we have (h, k) = (-3, 0), so the translation is to the left by 3 units.

The graph that shows f(x) translated left 3 units is attached.

Answer:

A

Step-by-step explanation:

The value of 'n' satisfies the inequality 2n + 7 > 13 is  [4, ∞).

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

The given inequality is 2n + 7 > 13.

Assuming n ∈ I.

Therefore, The values of 'n' that satisfies the giver inequality is,

At, n = 3, 2n + 7 = 13.

So, The values of 'n that satisfies the inequality is [4, ∞).

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Answer:

Step-by-step explanation:

es, if the original biconditional statement is true, then its contrapositive is also true.

Example: "If it rains, the grass is wet."

The contrapositive of this statement would be "If the grass is not wet, then it didn't rain."

Both the original statement and its contrapositive have the same truth value, as they are logically equivalent.

Answer:20 m/s

Step-by-step explanation:

Answer:

20 m/s

Step-by-step explanation:

700 ÷ 35 = 20 m/s

To realign the handlebars to your bike, you would need to:

Bicycles' steering is controlled by a handlebar. As it is typically immediately mechanically connected to a pivoting front wheel via a stem that is then attached to the fork, it is the equivalent of a tiller for vehicles and watercraft.

The steps to fix your big Flyer bike has been given above.

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b) Subtract [tex]2w[/tex] from both sides

The total cost of Troy’s order is $93.75 for ham, cheese, and turkey.

The price chart below shows the ingredients that Troy needs to buy. A pound of onions costs $0.79, a pound of tomatoes costs $0.93, a pound of cheese costs $1.85, a pound of ham costs $3.15, and a pound of turkey costs $3.40.

The question above asks about Troy, who has to order 12 pounds of turkey, 15 pounds of cheese, and 8 pounds of ham for his sandwich bar.

We need to sum up the total price as:

Ham: 8 pounds x $3.15 equals $25.2

Cheese: 15 pounds x $1.85 equals $27.75

Turkey: 12 pounds x $3.40 equals $40.8

The total of the prices is: $25.2 + $27.75 + $40.8 = $93.75

Thus, the right choice is A.

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Answer:

I don’t even know

Step-by-step explanation:

a) On compounding the amount of money in account after 35 years will be $356796.54.

b) $84000 is the total money that will be put into the account.

c) The total interest earned is obtained as $272796.54.

What is Compound Interest?

The interest that is calculated using both the principal and the interest that has accrued during the previous period is called compound interest. It differs from simple interest in that the principal is not taken into account when determining the interest for the subsequent period with simple interest. Compound interest is commonly abbreviated C.I. in mathematics.

a)  Figure out the period interest rate, i.

Use the formula: i=r/m, where r is the nominal interest rate and m is the number of compounding periods.

If the bank pays 7% compounded monthly, that means that the nominal annual interest rate is 7.0% and the monthly period interest rate is 7/12 = 0.58%.

The principal amount A = $200

The number of times interest applied per time period n = 35 × 12 = 420

Now, use the uniform series compound-amount factor to find the future value.

The equation is -

F = A [((1 + i)^n) - 1] / i

where F is the future value, A is the annuity amount, i is the period interest rate.

Substitute the values into the equation -

F = 200 [((1 + 0.0058)^420) - 1] / 0.0058

F = 200 [((1.0058)^420) - 1] / 0.0058

F = 200 (11.3471 - 1) / 0.0058

F = 200 (10.3471) / 0.0058

F = 200 × 1783.9827

F = 356796.54

Therefore, the amount will be $356796.54 after 35 years.

b) The total money put in the account will be -

Total amount = The principal amount × The number of times interest applied per time period

Total amount = A × n

Substitute the values into the equation -

Total amount = 200 × 420

Total amount = 84000

Therefore, the total amount is $84000.

c) The total interest earned will be -

Total Interest = The future amount - The total money put in the account

Total Interest = F - The total money put in the account

Substitute the values into the equation -

Total Interest = 356796.54 - 84000

Total Interest = 272796.54

Therefore, the total interest is $272796.54.

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Answer:

i hope this help

Step-by-step explanation:

Hamza spent 30 + 15 + 39 = 84 MVR.

So, Hamza had 835 - 84 = 751 MVR left.