In preschool there is a ratio of 3 boys for every 4 girls. If there are 24 girls, then how many boy are in class?

Cliff pays a total interest of approximately $679.90 on his $5,000 loan.

To calculate the total interest paid on the loan, we need to use the formula for compound interest:

\(A = P(1 + r/n)^{(nt)}\)

Where:

A is the final amount (loan amount + interest)

P is the principal (loan amount)

r is the annual interest rate (in decimal form)

n is the number of times interest is compounded per year

t is the number of years

Given that Cliff takes out a $5,000 loan with a fixed annual interest rate of 7% compounded monthly, we can substitute the values into the formula:

P = $5,000

r = 7% = 0.07

n = 12 (monthly compounding)

t = 2 years

\(A = 5000(1 + 0.07/12)^{(12 \times 2)\)

Calculating this expression:

A ≈ 5000\((1.00583)^{(24)\)

A ≈ 5000(1.13598)

A ≈ 5679.90

The final amount (A) is the loan amount plus the total interest paid. Therefore, to find the total interest paid, we subtract the principal (P) from the final amount (A):

Total Interest = A - P

Total Interest = 5679.90 - 5000

Total Interest ≈ $679.90

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Answer: G

Step-by-step explanation:

when professional service worker, farmer and government worker are added up the percentage is equal to 50% which is half of the chart.

Answer:

∠ GJK = 102°

Step-by-step explanation:

(2x + 92) and (3x + 63) are same- side interior angles and sum to 180° , so

2x + 92 + 3x + 63 = 180

5x + 155 = 180 ( subtract 155 from both sides )

5x = 25 ( divide both sides by 5 )

x = 5

Then

∠ GJK = 2x + 92 = 2(5) + 92 = 10 + 92 = 102°

Answer:

27.1149675 feet (27 feet 1⅜ inch)

Step-by-step explanation:

i think

Answer:

3:25

Step-by-step explanation:

The photo shows how it's solved.

Answer: 3:25

Step-by-step explanation:

Step 1) Convert the decimal number to a fraction by making 0.12 the numerator and 1 the denominator

0.12 = 0.12/1

Step 2) Multiply the numerator and denominator by 100 to eliminate the decimal point.
0.12 x 100

------------ = 12/100
1 x 100

Step 3) Simplify the fraction in the previous step by dividing the numerator and the denominator by the greatest common factor (GCF) of 12 and 100. (The GCF of 12 and 100 is 4.)

12 ÷ 4

---------  = 3/25  

100 ÷ 4

Step 4) Convert the fraction in the previous step to a ratio by replacing the divider line with a colon like this:  

3  

25   =  3:25

The bank reconciliation shows an adjusted bank balance of Br.5,301.42 and an adjusted ledger balance of Br.4,173.83.

To prepare the bank reconciliation and journal entry for ABC Company based on the given information, we need to compare the transactions recorded in ABC's ledger with the transactions shown in the bank statement. Here's the bank reconciliation:

1. Bank Statement Balance:

Cash on deposit at July 31: Br.4,964.47

2. Adjusted Bank Balance:

Bank Statement Balance: Br.4,964.47

3. Deposit not on the statement: + Br.410.90

(Adjusted Bank Balance: Br.5,375.37)

Erroneously charged check: + Br.79

(Adjusted Bank Balance: Br.5,454.37)

Outstanding checks:

Check 801: - Br.100.00

Check 888: - Br.10.25

Check 890: - Br.294.50

Check 891: - Br.205.00

(Adjusted Bank Balance: Br.4,844.62)

4. Incorrectly charged check: + Br.90

(Adjusted Bank Balance: Br.4,934.62)

5. Collection of interest-bearing note: + Br.500

(Adjusted Bank Balance: Br.5,434.62)

6. Interest earned: + Br.24.75

(Adjusted Bank Balance: Br.5,459.37)

7. Incorrectly recorded check: - Br.90

(Adjusted Bank Balance: Br.5,369.37)

8. Collection fee: - Br.5.00

(Adjusted Bank Balance: Br.5,364.37)

9. NSF check: - Br.50.25

(Adjusted Bank Balance: Br.5,314.12)

10. Service charge: - Br.12.70

(Adjusted Bank Balance: Br.5,301.42)

Adjusted Ledger Balance:

Bank Balance in ABC's Ledger: Br.4,173.83

Reconciled Bank Balance: Br.5,301.42

Reconciled Ledger Balance: Br.4,173.83

Journal Entry:

To record the bank reconciliation, we make the following journal entry:

Debit: Cash (Ledger Balance adjustment) - Br.5,301.42

Credit: Cash (Bank Statement Balance adjustment) - Br.4,964.47

Credit: Miscellaneous Income/Expense - Br.336.95 (the difference between the two balances)

This journal entry ensures that the ledger balance matches the reconciled bank balance by adjusting for the discrepancies identified during the reconciliation process.

The journal entry reflects the necessary adjustments to reconcile the two balances, with a debit to Cash (Ledger Balance adjustment), a credit to Cash (Bank Statement Balance adjustment), and a credit to Miscellaneous Income/Expense to account for the difference.

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first off, let's take a peek at the picture above

hmmm the hyperbola is opening sideways, that means it has a horizontal traverse axis, it also means that the positive fraction will be the one with the "x" variable in it.

now, the length of the horizontal traverse axis is 4 units, from vertex to vertex, that means the "a" component of the hyperbola is half that or 2 units, and 2² = 4, with a center at the origin.

\(\textit{hyperbolas, horizontal traverse axis } \\\\ \cfrac{(x- h)^2}{ a^2}-\cfrac{(y- k)^2}{ b^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h\pm a, k)\\ c=\textit{distance from}\\ \qquad \textit{center to foci}\\ \qquad \sqrt{ a ^2 + b ^2} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{(x- 0)^2}{ 2^2}-\cfrac{(y- 0)^2}{ (\sqrt{3})^2}=1\implies {\Large \begin{array}{llll} \cfrac{x^2}{4}-\cfrac{y^2}{3}=1 \end{array}}\)

Answer:

yes, it's factors are (x+4)²

Step-by-step explanation:

Answer:

It is a perfect square.

Step-by-step explanation:

The number of nickels are 41 and the number of quarters are 27.

Given that, Angela has a collection of nickels and quarters worth $8.80.

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

We know that, a nickel is worth 5 cents and a quarter is worth 25 cents.

Let the number nickels be x and the number of quarters be y.

Now, 0.05x+0.25y=8.80 ----------(I)

x+y=68 ----------(II)

Substitute x=68-y in equation (I), we get

0.05(68-y)+0.25y=8.80

⇒ 3.4-0.05y+0.25y=8.80

⇒ 0.20y=8.80-3.4

⇒ 0.20y=5.4

⇒ y=5.4/0.20

⇒ y=27

Substitute y=27 in equation (II), we get

x=41

Therefore, the number of nickels are 41 and the number of quarters are 27.

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The best way to represent histograms is by decreasing to increasing order.

The mean is the arithmetic mean and is calculated by adding a group of numbers and dividing by the count of those numbers. For example, the average of 2, 3, 3, 5, 7, and 10 is 30 divided by 6, which is 5.

Given the values:

50 42 32 35 41 44 24 46 31 47 36 32 30 44 22 47 31 56 28 37 49 28 42 38 45

We have that:

(22+24+28+28+30+31+31+32+32+35+36+37+38+41+42+42+44+44+45+46+46+47+47+49+50)/25=37.88.

The average age that a large construction company wants to know is 38.

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Answer:

16x + \(3y^{2}\) - 26xy

Step-by-step explanation:
PEMDAS

(2x - 3y)(8x - y)
= 16x - 2xy - 24xy + \(3y^{2}\)
= 16x + \(3y^{2}\) - 26xy

Answer:

1) obtuse triangle

2) equilateral triangle

3) isosceles triangle

4) equilateral triangle

5) scalene triangle

6) acute triangle

7) right triangle

8) obtuse triangle

9) acute triangle

Answer:

I think it's the second one.

Step-by-step explanation:

To compare the two amounts of fabric, we need to express them with a common denominator:

15/2 = 30/4

7 1/2 = 15/2

Now we can compare the two amounts:

30/4 > 15/2

This is true because 30/4 is equal to 7.5 yards, which is greater than 7.5 yards (or 15/2 yards) of silver fabric.

Therefore, Ms. Thompson needs more red fabric than silver fabric.

Answer:

f(x)=x-2

Step-by-step explanation:

You just have to change 5a for x

Answer:

46 logs on the 5th row.

Step-by-step explanation:

Number of logs on the nth row is

n =  50 - (n-1)

 n = 51 - n    (so on the first row we have  51 - 1 = 50 logs).

So on the 5th row we have 51 - 5 = 46 logs.

The given relation is an arithmetic progression, which can be solved using the recursive formula: aₙ = aₙ₋₁ + d.

The 5th row has 46 logs.

An arithmetic progression is a special series in which every number is the sum of a fixed number, called the constant difference, and the first term.

The first term of the arithmetic progression is taken as a₁.

The constant difference is taken as d.

The n-th term of an arithmetic progression is found using the explicit formula:

aₙ = a₁ + (n - 1)d.

The recursive formula of an arithmetic progression is:

aₙ = aₙ₋₁ + d.

In the question, we are informed that logs are stacked in a pile. The bottom row has 50 logs and the next bottom row has 49 logs. Each row has one less log than the row below it.

The number of rows represents an arithmetic progression, with the first term being the row in the bottom row having 50 logs, that is, a₁ = 50, and the constant difference, d = -1.

We are instructed to use the recursive formula. We know the recursive formula of an arithmetic progression is, aₙ = aₙ₋₁ + d.

a₁ = 50.

a₂ = a₁ + d = 50 + (-1) = 49.

a₃ = a₂ + d = 49 + (-1) = 48.

a₄ = a₃ + d = 48 + (-1) = 47.

a₅ = a₄ + d = 47 + (-1) = 46.

Hence, the 5th row will have 46 logs.

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The domain value that corresponds to a range value of 4 is,

⇒ x = 1/2

Given that;

Function is,

y = 4x + 2

Since, the equation equal to the range value:

4 = 4x + 2

Then, we can solve for "x":

4 - 2 = 4x

2 = 4x

x = 1/2

Now that we have the value of "x", we can find the corresponding value of "y" by substituting it into the given equation:

y = 4x + 2

y = 4(1/2) + 2

y = 4 + 2

y = 6

Therefore, the domain value that corresponds to a range value of 4 is,

⇒  x = 1/2

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Answer:

4 cups=2 pint

3 cups=1.5 pint

5 cups=2.5 pints

Step-by-step explanation:

Because there are 2 cups in each pint, we can divide the number of cups by two to get the number of pints.

4/2=2

3/2=1.5

5/2=2.5

Let me know if you have any questions!

Answer:

x > 5

Step-by-step explanation:

Subtract 7 from both sides, like so:

x + 7 > 12

  - 7      - 7

________

x > 5

Answer:

y = 24x

Step-by-step explanation:

In a direct variation, we have

output = k * input, with k being a positive number.

Therefore, with the output being the number of water bottles and the input being the number of cases, we have y = kx. We know that the output is y and the input is x because the question states that the number of water bottles (y) is directly proportional to the number of cases (x), so x must be multiplied by something to obtain y.

We have 120 water bottles as one output and 5 cases as its corresponding input.

120 = k(5)

divide both sides by 5 to isolate k

k = 24

y = 24x

Answer:

Solution given:

x=121°[opposite angle of a parallelogram are equal]

<Z=19°

we have

y+z+121°=180°[co interior angle]

y=180-121-19

y=40°

:.x=121°,y=40°& z=19°

Answer:

Step-by-step explanation:

Here the angle A=Angle C

so,

x=121°

z=19°

so,

Answer:

-24

Step-by-step explanation:

-6 × f(3) - 6 × g(-1) = ?

to answer this we need to find the functional values of the functions at the specified points.

f(3) = -2

we find this easily : we go to x = 3 on the x-axis, and then see there at what y value a vertical line is intersecting the functional graph. the intersection is below the x-axis, so the y value is negative.

g(-1) = 6

we go to x=-1, and we find that a vertical line there will intersect the g curve at y = 6.

and that's really it.

now we need to calculate it all in the main expression :

-6 × -2 - 6 × 6 = 12 - 36 = -24

you remember, that multiplications and divisions have to happen before any addition of subtraction ?

The domain of the function is all the real numbers and the range is from -2 to 2.

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x).

A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.

In the image, we can see that the value of the function varies from -2 to 2 at all the possible values of the real numbers.

Therefore, the domain of the function is all the real numbers and the range is from -2 to 2.

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Answer:

Total yearly interest for the two accounts is: $1500

Step-by-step explanation:

Total amount of money invested: $13000

x+y=13000,

Total yearly interest for the two accounts is: $1500

0.07*x+0.17*y=1500

x=13000-y

Substitute for x

0.07*(13000-y)+0.17*y=1500

Multiply out

910-0.07y+0.17*y=1500

Combine like terms.

0.1*y=590

Isolate y

y=$ 5900.00 at 17%

x=13000-y

Calculate x

x=$ 7100.00 at 7%

Check

0.07*7100+0.17*5900=1500

497+1003=1500

1500=1500

If this statement is TRUE and neither amount is negative then all is well

(Hope this helps can I pls have brainlist (Crown)☺️)

The equivalent of the expressions are solved to given the following

The distributive property of multiplication is applied to find the equations as follows

2(4x + 3y) - 2x - 2y

= 2(4x + 3y - x - y)

= 2(3x + 2y)

hence the given equation can be rewritten as 2(3x + 2y)

2(4x + 3y) + 2(x + y)

= 2(4x + 3y) + 2x + 2y)

= 2(4x + 3y + x + y)

= 2(5x + 4y)

hence the given equation can be rewritten as 2(5x + 4y)

2(4x + 4y) - 2x + y

= 8x + 8y - 2x + y

= 6x + 9y

= 3(2x + 3y)

hence the equivalence of the given equation is 3(2x + 3y)

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Answer:

I think what you wrote is the following: I want to know the binomial of 3(3x-2y)

The answer would be 9x-6y

Step-by-step explanation:

Distribute the 3 into the numbers in parentheses.

Multiply the numbers 3x and -2y by 3

Hope I helped, have a nice day :)

Answer:

Vertical asymptote at x= -6 and 6. The zero is 0

Step-by-step explanation:

20 blue fish and 50 total

9514 1404 393

Answer:

Step-by-step explanation:

1. The vertical asymptotes are where the denominator is zero.

  x² -36 = 0

  (x -6)(x +6) = 0   ⇒   x = 6 or x = -6 . . . vertical asymptotes

The horizontal asymptote is the function value when x is large. Since the numerator is lower degree than the denominator, the ratio becomes near 0 as x gets large. The horizontal asymptote is y = 0.

The function value is zero when the numerator is zero:

  6x = 0   ⇒   x = 0 . . . . the zero of the function

A function graph is attached, with vertical asymptotes and zero shown.

__

2. You can work this problem by considering the ratios.

If 60% of fish are red, then 40% are blue. The difference in numbers is 60% -40% = 20% of the total number of fish. That difference is 10 fish.

The number of blue fish is 40% of the total, which is 2×20% = 2×10 fish.

There are 20 blue fish.

Answer:

im study about history it was my favourite subject!

Answer:

OptionB)

Step-by-step explanation:

→→When you are talking about sample proportion You are considering a Single ,set of same kind of Data,Like body weight of  Students in a class, from which you are taking out samples for Observation.

For example, A colony is being studied whether each human in that colony is healthy or not by checking their body mass index.

→→When we are investigating or considering Sampling Distribution we consider two different sets or kinds of Data set Possessing Similar Characteristics because we have to compare these two sets of Data.

For example , Take two colonies A and B , Check their honesty by observing how many floors they have made in their Plot.Whether they care or don't care about their Surrounding or Mother Earth by looking, if number of floors exceeds than 2 i.e ground floor and first floor , it means Dishonest , if maximum number of floor =2 ,it means honest.

Answer: 225

Step-by-step explanation:

Create a ratio part/whole for radians = part/whole for degrees

\(\frac{\frac{5\pi }{4} }{2\pi } = \frac{x}{360}\)      Keep change flip because you are dividing fractions for left side

\(\frac{5\pi }{4} (\frac{1}{2\pi }\)) = \(\frac{x}{360}\)

\(\frac{5}{8} (\frac{360}{1} ) =x\)

x = 225