Solve 4x + 10-30
X<5
x>5
X<10
X>10

The dimensions of the garden that create the maximum area are 5 meters by 15 meters, and the maximum possible area is 75 square meters

What is measurement?

Measurement is the process of assigning numerical values to physical quantities, such as length, mass, time, temperature, and volume, in order to describe and quantify the properties of objects and phenomena.

Let's assume that the rock wall is the width of the garden and the wire fencing is used for the length and the other two sides. Let's denote the length of the garden as L and the width as W.

Since we have 30 meters of fencing available, the total length of wire fencing used is:

L + 2W = 30 - W

Simplifying this equation, we get:

L = 30 - 3W

The area of the garden is:

A = LW

Substituting the expression for L from the previous equation, we get:

A = W(30 - 3W)

Expanding the expression, we get:

A = 30W - 3W²

To find the maximum area, we need to take the derivative of A with respect to W and set it equal to zero:

dA/dW = 30 - 6W = 0

Solving for W, we get:

W = 5

Substituting this value back into the expression for L, we get:

L = 15

Therefore, the dimensions of the garden that create the maximum area are 5 meters by 15 meters, and the maximum possible area is:

A = 5(15) = 75 square meters

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Answer:

5 lollipops and 8 fruit snacks.

Step-by-step explanation:

Let p = lollipops

Let s = fruit snacks

p + s = 13

1.50p + 1.25s = 18.25

solve p + s = 13 for p

p = 13 - s  Plug into the second equation 13 - s for p

1.50(13 - s)  + 1.25s = 18.25  Multiply all the way through by 100 to clear the decimal

150(13 - s) + 125s = 1825  Distribute the 150

1950 - 150s + 125s = 1825  Combine like terms

1950 - 25s = 1825  Subtract 1950 from both sides

-25s = -125  Divide both sides by -25

s  = 5

There are 5 fruit snacks.

Plug 5 in for s to solve for p

p + s = 13

p + 5 = 13  Subtract 5 from both sides

p = 8

There are 8 lollipops.

The number of lollipops sold and the number of fruit snacks sold are 8 and 5 respectively.

Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.

Given that the price of each lollipop is $1.50 and the price of each fruit snack is $1.25.

Yesterday, Nakeisha made $18.25 from total of 13 lollipops and fruits.

Let x be the number of lollipops and y be the number of fruits.

Then x + y = 13

Through hit and trial method,

let x = 8 and y = 5

price of 8 lollipops is $12 and price of 5 fruit snacks is $6.25.

Which gives us the total required numbers.

Therefore, 8 number of lollipops sold and 5 number of fruit snacks sold.

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In June, A.B.C company invested $20,000, purchased equipment, paid insurance premium, bought office supplies, billed students for tutorial services, received cash, paid for supplies, withdrew personal funds.

Accounting Cycles:

1. June 1:

  - A.B.C company invests $20,000 in the business.

  - Prepare the journal entry:

    - Debit: Cash ($20,000)

    - Credit: Capital ($20,000)

2. June 3:

  - Purchased equipment for $12,100.

  - Prepare the journal entry:

    - Debit: Equipment ($12,100)

    - Credit: Cash ($12,100)

3. June 4:

  - Paid $220 premium for an insurance policy.

  - Prepare the journal entry:

    - Debit: Insurance Expense ($220)

    - Credit: Cash ($220)

4. June 6:

  - Purchased office supplies on account for $140.

  - Prepare the journal entry:

    - Debit: Office Supplies ($140)

    - Credit: Accounts Payable ($140)

5. June 9:

  - Purchased a new computer for $9,000. Paid 40% in cash and agreed to pay the remainder later.

  - Prepare the journal entry for the cash payment:

    - Debit: Computer ($3,600) [40% of $9,000]

    - Credit: Cash ($3,600)

  - Prepare the journal entry for the remaining amount:

    - Debit: Computer ($5,400)

    - Credit: Accounts Payable ($5,400)

6. June 10:

  - Billed student Omar $58 for tutorial services performed.

  - Prepare the journal entry:

    - Debit: Accounts Receivable ($58)

    - Credit: Tutorial Services Revenue ($58)

7. June 14:

  - Paid for the supplies purchased on June 6th ($140).

  - Prepare the journal entry:

    - Debit: Accounts Payable ($140)

    - Credit: Cash ($140)

8. June 15:

  - The owner suggested purchasing a new building for the company for $22,000.

  - No journal entry is required at this point. It is a decision made by the owner.

9. June 25:

  - Received $85 cash from student Salim Ali for tutorial services performed.

  - Prepare the journal entry:

    - Debit: Cash ($85)

    - Credit: Accounts Receivable ($85)

10. June 30:

   - Student billed on June 10 pays the amount due ($58).

   - Prepare the journal entry:

     - Debit: Cash ($58)

     - Credit: Accounts Receivable ($58)

11. June 30:

   - A.B.C company withdraws $60 for personal use.

   - Prepare the journal entry:

     - Debit: Withdrawals ($60)

     - Credit: Cash ($60)

These transactions represent the accounting cycles for the given period.

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Answer:

50

Step-by-step explanation:

50 / 10 = 5

5 x 3 = 15

No. The reported return rate appears lower than expected.

To determine whether the reported rate of return is reasonable or not, we can calculate the expected rate of return based on the investment amount and the ending value of the account.

First, we need to calculate the total number of quarters that have elapsed between the initial investment and the current quarter. Let's assume that the investment has been held for n quarters.

Then, we can use the following formula to calculate the expected rate of return:

Expected rate of return = (Ending value / Initial investment) ^ (1/n) - 1

Plugging in the given values, we get:

n = 1 (since we are only given information for a single quarter)

Initial investment = 26,245

Ending value = 26,292

Expected rate of return = (26,292 / 26,245) ^ (1/1) - 1 = 0.18%

Comparing the expected rate of return of 0.18% with the reported rate of return of -0.02%, we can see that they are quite different. However, it's important to note that a single quarter's rate of return may not be indicative of the overall performance of the investment.

Therefore, while the reported rate of return seems lower than expected, we would need to consider the performance over a longer period of time to make a more informed assessment of the investment's performance.

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Answer:

Bottom Left Choice

Step-by-step explanation:

If you look at the points, they are traveling up and to the right. So is the line in the graph. Also, the line in the graph is closer to more dots than the others.

Answer:

the 1 right below the one you already have selected would be the correct choice

Step-by-step explanation:

Answer:

Find the exact value of tan 45º = 1/1 = 1.

Find the exact value of cos 30º = √3/2.

Find the exact value of csc 60º = 2√(3)/3

Step-by-step explanation:

math

The speed of the second pedestrian is 5 kilometers per hour.

Let's say that the speed of the second pedestrian is S.

We know that the other pedestrian walks at a speed of 4km/h, and they (together) travel a distance of 27km in 3 hours, then we can write the linear equation:

(4km/h + S)*3h = 27km

It says that both pedestrians work, together, a total of 27km in 3 hours.

Now we can solve that linear equation for S, to do this, we need to isolate S in the left side of the equation.

4km/h + S = 27km/3h = 9 km/h

S = 9km/h - 4km/h = 5km/h

The speed of the second pedestrian is 5 kilometers per hour.

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Using an online finance calculator, the yield to maturity (YTM) of the Ashburn Company's bond at a coupon rate of 8.9 percent paying semiannual interest and selling at 113% of par value is 7.45%.

The Yield to maturity (YTM) is the total return, expressed as an annual rate, anticipated by a bondholder on a bond if it is held until its maturity date.

The maturity date refers to the date when the principal of a fixed investment is repaid at the maturity value.

The yield to maturity can also be computed using the following formula:

YTM = [(Face value/Bond price)1/Time period]-1.

Face (par) value = $100

Bond current price = $113 ($100 x 113%)

Annual coupon rate = 8.9%

Coupon frequency = Semi-annually

Years to maturity = 15 years

Result:

Yield to maturity (YTM) = 7.45%

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Answer:

m<ZXY - m<WXZ   = m<WXY  

Step-by-step explanation:

given:

point Z is in the interior of <WXY creating XZ.

if m<WXZ = 20

  m<WXY = 100

find:

what would equation would you set up to find the missing angle measure?

solution:

Since Z is interior of <WXY

m<ZXY - m<WXZ   = m<WXY

<WXY =  100  - 20  = 80°

therefore, the equation would be  m<ZXY - m<WXZ   = m<WXY  

The compound interest formula is given by

where A is the final amount including the principal P, r is the rate, n is the number or times interes and t is the time.

In our case, A= $43,278.39, P=$39,000, n=4 (for quarterly) and t is the unknown time.

We must find t in our formula. First, if we move P to the left hand side, we ger

If we apply logarithm in both sides, we obtain

which gives,

then, t is equal to

Therefore, by means of this formula, we can find t. If we substitute the given values into this formula ,we get

then, we have

which is equal to

that is, by rounding up, the times is 0.3 years.

Answer:

C. 28 DAYS

Step-by-step explanation:

You take the total ammount of pencils and subtract the minimum stock (y intercept)

1200-500 = 700

700 divided by the slope of the equation (how many pencils a day is sold) 25

700/25 = 28

A: Built advanced sewer systems

\(f(g(13)) = f( \alpha ) \\ where \: \alpha = g(13)\)

As shown in the output of g when we want to input 13 is shown in the second figure.

\( \alpha = g(13 )= 16\)

Now we want to solve for f(g(13)),now that we know what g(13) is

\(f(g(13)) = f( \alpha ) = f(16) = 32\)

Answer:

C=32

Step-by-step explanation:

This mapping is both one to one mapping and onto mapping

f(g(13))=f(ã)

since we know that g(13),we proceed to the codomain of g which is g(16)

That will be

f(16)=32

When the y-value starts to decrease and the x-value remains constant over time, Y decreases and X increases to a consistent slope.

A consistent slope represents a constant rate of change between two variables, typically represented by the ratio of the change in y to the change in x.

When the y-value starts to decrease and the x-value remains the same over time, the consistent slope represents a negative correlation between y and x.

This means that as the value of y decreases, the value of x remains the same or may increase, depending on the context of the problem.

Therefore, the answer is option B: Y decreases and X increases.

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Answer:

A

Step-by-step explanation:

Answer:

The P(teacher and video games) = 4%; the two events are not independent.

Step-by-step explanation:

I got it right! look at the pic for proof :)

Based on the given information, the second brand, Cola, is the more affordable option in terms of cost per milliliter compared to Co Fizz.

To determine which brand of cola is more expensive, we need to compare the cost per unit volume for each brand.

For the first brand, Co Fizz, a pack contains 4 bottles, and each bottle has a volume of 500 ml. The cost of the pack is $2.50. Therefore, the total volume in a pack is 4 * 500 ml = 2000 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2.50 / 2000 ml = $0.00125 per ml.

For the second brand, Cola, a pack contains 10 bottles, and each bottle has a volume of 330 ml. The cost of the pack is $2. Therefore, the total volume in a pack is 10 * 330 ml = 3300 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2 / 3300 ml ≈ $0.000606 per ml.

Comparing the two brands, we can see that the cost per milliliter for Co Fizz is $0.00125, while the cost per milliliter for Cola is approximately $0.000606.

Since the cost per milliliter for Co Fizz is higher than the cost per milliliter for Cola, it can be concluded that Co Fizz is more expensive in terms of price per unit volume.

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Answer:B

Step-by-step explanation:If 500 minutes of talk = 20 and texting = 30 and each additional minute of talk = 0.45 then the bill would be (for B = total cost)

A camera has a listed price of $665.98 before tax. If the sales tax rate is 9.5%, find the total cost of the camera with sales tax Included. Round your answer to the nearest cent, as necessary.​

we know that

100%+9.5%=109.5%=109.5/100=1.095

so

Multiply the listed price of $665.98 by 1.095

$665.98*1.095=$729.25

therefore

Based on the annual income, the payment period, and the amount deducted for the 403(b), the amount deposited into Sandy's 403(b) is $220.

First find the biweekly income:

= 51,350 / (52 weeks / 2 )

= 51,350 / 21 weeks

= $2,445.24

5% is deducted from her wages and the employer matches 4% of the salary. The amount deposited is:

= (5% + 4%) x 2,445.24

= $220

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A) first multiply 18 x 7 = 116, then subtract 500 - 116 = 384, so the answer is 384

B) first divide 384 from 18 which should give you 18, so the answer is 18

If A file that is 278 megabytes is being downloaded and the download is 19.7% complete, then you just need to multiply the 278 megabytes with 19.7%

The calculation would be: 278 megabytes x 0.197 = 54.766 megabytes.

If you round up the answer to nearest tenth it will be 54.8 megabytes.

The equation of the parabola is y = (x + 2)² - 2, and the value of f(-1) is -1 after plugging x = -1 in the function.

It is defined as the graph of a quadratic function that has something bowl-shaped.

(x - h)² = 4a(y - k)

(h, k) is the vertex of the parabola:

a = √[(c-h)² + (d-k²]

(c, d) is the focus of the parabola:

From the graph the vertex form of the parabola:

(-2, -2)

h = -2

k = -2

The vertex form of the parabola:

y = a(x - h)² + k

y = a(x + 2)² - 2

Plug x = 0

y = 2

a = 1

y = (x + 2)² - 2

Or

f(x) = (x + 2)² - 2

f(-1) = (-1 + 2)² - 2

f(-1) = -1

Thus, the equation of the parabola is y = (x + 2)² - 2, and the value of f(-1) is -1 after plugging x = -1 in the function.

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SOLUTION

The Data set given is

4.9,2.7,6.2,5,4.7,5.4,6.5,3.8,12

The minimum of the data set is the lowest data in the distribution

The first quartile is given by

where N=frequency of the data=9

Then the first quartile becomes

The median is the middle number after arrangement

The number 2/5 is both a ratio and a fraction.

The number 2/5 is both a ratio and a fraction. Fractions are meant to signify the numerator and denominator in an expression. in the above expression, we have the denominator as 5 and the numerator as 2.

The expression is also a ratio because it indicates the quantitative relationship between the figures.

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the fraction that is equivalent to 18% the decimal is 0.18 and the fraction is

9/50

The expression that uses the commutative property of addition and the associative property of multiplication to rewrite the expression 3 (28) +7  is 7+(3-2).8

The commutative property of addition states that a change in the order of the numbers being added does not affect the sum. We can define commutative property of addition as adding the numbers in any order will give the same answer.

a + b = b + a

3(2x8) + 7 = 7 + 3(2x8)

The associative property of multiplication says that while multiplying three numbers, regardless of the way the numbers are grouped, the end result will always be the same.

a(b x c) = (a x b) c

7 + 3(2x8) = 7 + (3.2)8

Therefore, the expression that uses the commutative property of addition and the associative property of multiplication to rewrite the expression 3 (28) +7  is 7+(3-2).8

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Answer:

2 groups of 1 2/3 are in 4 1/3

Step-by-step explanation:

4 1/3-1 2/3=8/3=2 2/3

4 1/3 -1 2/3 - 1 2/3= 1

Therefore there are two 1 2/3 in 4 1/3

to Check Answer

1+ 1 2/3+1 2/3=4 1/3

The number of groups of 1 ²/₃ in 4 ¹/₃ will be approximately 2.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The mixed fraction number is given below.

1 ²/₃ are 4 ¹/₃

Convert the mixed fraction number into a fraction number. Then we have

1 ²/₃ = 5/3

4 ¹/₃ = 13/3

The number of groups of 1 ²/₃ in 4 ¹/₃ will be given as

⇒ 4 ¹/₃ ÷ 1 ²/₃

⇒ (13/3) ÷ (5/3)

⇒ (13/3) x (3/5)

⇒ 13/5

⇒ 2.6

The number of groups of 1 ²/₃ in 4 ¹/₃ will be approximately 2.

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