What are 2 relevant settings related to Projects?

According to the information, we can infer that Mazibane must pay R3640 into the account on 30 June to have no debt.

To calculate the amount Mazibane must pay on 30 June to have no debt in the account, we need to consider the initial debt, the interest, and the previous payment.

Initial Debt:

Interest Calculation:

Previous Payment:

To determine the remaining debt on 1 June, we subtract the payment from the initial debt:

From 1 June to 30 June, a period of one month, interest is charged on the remaining debt.

To calculate the interest for one month, we use the formula:

where the principal is the remaining debt, the rate is the monthly interest rate (16%/12), and the time is the number of months (1).

To find the total debt on 30 June, we add the remaining debt on 1 June and the interest for one month:

To have no debt on 30 June, Mazibane must pay the total debt amount:

Calculating the interest and summing up the values, we find that Mazibane must pay approximately R3640 into the account on 30 June to have no debt.

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Answer:

7 slices of cheesecake is left in the fridge

Answer: 6/(6+2x) ; (-infinity, -3) U (-3, infinity)

Step-by-step explanation:

(a) This can be read as f(x) composed of g(x). Plug in the expression given for g(x) for every x value in f(x):

(6/x)/(6/x+2)

I gave the terms in the denominator the same denominator to combine the bottom two terms into one term. 6/x + 2 is equal to 6/x + 2x/x -->

(6 +2x)/x

Do the classic keep, change, flip. \(\frac{6}{x} * \frac{x}{6+2x}\)

This simplifies to: \(\frac{6}{6+2x}\)

(b) Domain is all real numbers except for what makes the denominator equal to 0.     6 + 2x = 0 when x = -3. Therefore it is all real numbers except -3.

The equation that represents the total cost of the membership will be y = 5x + 265.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

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

A local rec center offers a yearly membership for $265. The center offers aerobics classes for an additional $5 per class.

Let 'x' be the number of aerobics classes and 'y' be the total cost. Then the equation is given as,

y = 5x + 265

The equation that represents the total cost of the membership will be y = 5x + 265.

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The missing quantities are

Social Security= $217

Medicare = $‭50.75‬

Net Pay is $‭2,633.67‬

First, Taxable income is therefore;

= 3,500 - (76.90 x 4 )

= $‭3,192.4‬0

Federal Income Tax (FIT).

With taxable income of $‭3,192.4‬0, the tax is $565.15 plus 28% of anything above $‭3,073.

= 565.15 + (28% x (‭3,192.4‬0 - 3,073))

= 565.15 + 33.43

= $‭598.58

and, Social Security

= Gross pay x 6.2%

= 3,500 x 6.2%

= $‭217‬

and, Medicare

= 3,500 x 1.45%

= $‭50.75‬

Then, the Net Pay

= 3,500 - 598.58 - 217 - 50.75

= $‭2,633.67‬

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The two monomials whose greatest common factor is 3x are; 6x and 9x

A monomial is defined as a polynomial, that has just only one term. A monomial is also said to be an algebraic expression with just a single term but then it can have multiple variables and a higher degree as well.

Now, we want to find two monomials whose greatest common factor is 3x.

The GCF(greatest common factor) is defined as the largest number that is a factor of two or more numbers. Thus, two monomials with GCF of 3x are 6x and 9x

To know if the two monomials would have the GCF of 3x, factor the monomials to get;

6x = 2 * 3 * x

9x = 3 * 3 * x

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The area covered by the signal is 181.37 m²

Here we can see that the area covered by the signal is the fourth of a circle of radius R = 15.2m

The area of a circle of radius R is given by:

A = 3.14*R²

Then the area of a fourth of a circle is:

A = (3.14/4)*R²

Replacing the value of the radius in the formula we will get:

A =  (3.14/4)*(15.2m)² = 181.37 m²

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should be the second and third options starting from the top.

The simplified value of the given expression (2x^3 + 3x + 7) / (x^2 + x + 10) is: the quotient will be 2x - 2 and the remainder will be -15x + 27.

Let us solve the given algebraic expression by the long division method:

We are given the expression:

(2x^3 + 3x + 7) / (x^2 + x + 10)

We need to perform the division of the given algebraic expression:

x^2 + x + 10  ) 2x^3 + 3x + 7 ( 2x - 2

                       2x^3 + 2x^2 + 20x

                     -         -            -        

                         -2x^2 - 17x + 7

                         -2x^2 - 2x  - 20

                         +        +       +          

                                  -15x + 27

So,

quotient = 2x - 2

remainder =  -15x + 27

Thus, the simplified value of the given expression (2x^3 + 3x + 7) / (x^2 + x + 10) is: the quotient will be 2x - 2 and the remainder will be -15x + 27.

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Answer:

B) 44 17/221 is the answer. Thank you and please rate me as brainliest

The surface area of the box increases by 27.4 cm² when the height is increased by 0.2 cm.

To find the increase in surface area, we first need to calculate the initial surface area of the box and then calculate the surface area after increasing the height.

The formula for the surface area of a rectangular prism is given by:

Surface Area = 2*(length width + length height + width*height)

Initial Surface Area:

Length (L) = 13 cm

Width (W) = 8.7 cm

Height (H) = 28 cm

Initial Surface Area = 2*(138.7 + 1328 + 8.7*28)

Next, we calculate the new surface area after increasing the height by 0.2 cm. The new height is:

New Height = Initial Height + Increase in Height = 28 cm + 0.2 cm

New Surface Area = 2*(138.7 + 13(28+0.2) + 8.7*(28+0.2))

To find the increase in surface area, we subtract the initial surface area from the new surface area:

Increase in Surface Area = New Surface Area - Initial Surface Area

Let's calculate the values:

Initial Surface Area = 2*(138.7 + 1328 + 8.728) = 2(113.1 + 364 + 243.6) = 2*(720.7) = 1441.4 cm²

New Surface Area = 2*(138.7 + 13(28+0.2) + 8.7*(28+0.2)) = 2*(113.1 + 377.2 + 244.1) = 2*(734.4) = 1468.8 cm²

Increase in Surface Area = New Surface Area - Initial Surface Area = 1468.8 cm² - 1441.4 cm² = 27.4 cm²

Therefore, the surface area of the box increases by 27.4 cm² when the height is increased by 0.2 cm.

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There are 1024 different possible variations of salad.

The number of ways of selecting at least one item from a list of distinct items can be calculated as:

\(2^n -1\)

Where n = number of distinct items in the list.

The items which could be added are:

{banana pepper, green peppers, onions, cucumbers, carrots, olives, pickles, cheese, sunflower seeds, tomatoes}

The number of items, n = 10

Therefore, the number of different variations of items that can be made from the list is :

\(2^{10} - 1 = 1024 -1\\\\= 1023\)

Since the salad originally contains lettuce only,

1023 + 1 = 1024

Hence, there are 1024 different variations of salad possible.

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The sequence is decreasing as n increases and sequence converges to the value 0.

The given sequence is defined as aₙ = 1 / (7n + 3).

To determine if the sequence converges or diverges, we need to analyze its behavior as n approaches infinity.

As n increases, the denominator 7n + 3 also increases which means that the values of aₙ will get smaller and smaller, approaching zero as n becomes larger.

The sequence converges to the value 0.

The sequence is decreasing as n increases.

The sequence converges to the value 0.

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Answer:

install socratic and by suerte i think es A

Step-by-step explanation:

Answer:

He is correct.

Step-by-step explanation:

\(\frac{35}{49} =\frac{5}{7}\)

Answer:

$40.80

Step-by-step explanation:

First, convert the 20% to an actual number that can be used in a calculation. For percent, this is always done by simply dividing the percent, in this case, 20%, by 100%. So, the conversational term "20%" becomes 20% / 100% = 0.20 in terms of a real mathematical number.

Second, you need to find out what 20% of your $34.00 meal cost is. This is always done by multiplying 0.20 by $34.00, or 0.20 x $34.00=$6.80. So, the amount of tip you are going to leave is $6.80.

This makes the total cost of your meal (to write on your charge slip or other payment)

$34.00 + $6.80 = $40.80.

Answer:

$40.80

Step-by-step explanation:

If you pay for the original cost of the dinner AND leave a 20% tip then the total amount paid will be 120% of the original cost (100% + 20% = 120%).

Convert 120% into a decimal:  120% = 120/100 = 1.2

So 120% of $34.00 = 1.2 × 34 = $40.80

Answer:

your answer will be option A

Step-by-step explanation:

(8y - 2)^2

hope this helps u have a great day

Answer:

A) (8y-2)²

Step-by-step explanation:

Given:- 64y²-32y+4

Find:- Factor of the perfect square

Now, 64y²-32y+4

\((8y)^2-2\) × \(8y\) × \(2 + (2)^2\)

→ \(Answer:-\) A

\(----------\)

hope it helps...

have a great day!!

Answer: the first one is 735.75

the second one is 69

Step-by-step explanation:

THEY ARE BOTH CORRECT!

Answer: They are both correct. Good job! :)

Step-by-step explanation:

Okay, here we have this:

Considering the provided table, we are going to analize if the table shows direct variation, so we obtain the following:

To identify if there is direct variation then we will calculate the ratios between the points, and if they are all the same then the table does show direct variation, then we have:

y=kx

k=y/x

5/2=2.5

45/18=2.5

80/30=2.66

Since the ratios between the points are not the same, then it does not represent a direct variation.

Answer:

If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.

6(3x) = 4(4x + 1)

18x = 16x + 4

2x = 4

x = 2

Answer:

biased sample, population, sample, simulation

Step-by-step explanation:

Answer:

Step-by-step explanation:

The function of the arch window is a quadratic function, and the length of the base of the window is 3.5 units

The function of the arch window is given as:

h(x) = -4x² + 10x - 6

Set the function to 0

-4x² + 10x - 6 = 0

Divide through by -2

2x² - 5x + 3 = 0

Expand the function

2x² + x - 6x + 3 = 0

Factorize the function

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

Factor out 2x + 1

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

Expand

x - 3 = 0 or 2x + 1 = 0

Solve for x

x = 3 or x = -0.5

Since, the base of the window is on the x-axis.

It means that the difference between the x-intercepts represents the length of the window base.

So, we have:

Base = |-0.5 - 3|

Evaluate

Base = 3.5

Hence, the length of the base of the window is 3.5 units

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Answer:

A) 30 in³

B) V=lwh (or) V+5x3x2

C) 3 times

Step-by-step explanation:

A) 30in³

B) V=LWH (or) V+5x3x2

C) V=\(\pi\)r²h = \(\pi\)(2.6²)(4) = 84.94867

85.94867÷30= 2.83, so he’d need to fill the rectangular prism 3 times.

Answer:

a. 30 in³

b. V = whl

c. 3 times

Step-by-step explanation:

a. v = whl

V = (3 in)(2 in)(5 in)

V= 30 in³

b. V = whl

c. Volume of the cylinder = pi(r²)h            r = d/2 = 5.2 / 2 = 2.6

Vc = pi (2.6²)(4)

Vc ≈ 84.94 in³

84.94 in³/30 in³ ≈ 3 times

Answer:

4/5

Step-by-step explanation:

y2-y1/x2-x1. (5,3), (0,-1).

-1-3/0-5.

-4/-5

4/5

Therefore, slope=4/5

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Answer:

4/5

Step-by-step explanation:

Pick a point and call that A; the other point is B.

Take the Y part of B (the second number in the pair) and subtract the Y part of  A.

3 - -1 = 4

Then, do the same thing but with the X (the first number in the pair)

so take the X part of B and subtract the X part of A.

5 - 0 = 5

and then put the 4 over the 5to get 4/5.

The LCM of A = 3² × 5⁴ × 7 and B = 3⁴ × 5³ × 7 × 11 is 3898125 using Prime factorization.

Given are two numbers which are showed in the prime factorized form.

A = 3² × 5⁴ × 7

B = 3⁴ × 5³ × 7 × 11

Prime factorization is the factorization of a number in terms of prime numbers.

In order to find the LCM of these two numbers, we have to first match the common primes and write down vertically when possible and then bring down the primes in each column.

A = 3² ×         5³ × 5 × 7

B = 3² × 3² × 5³ ×       7 × 11

Bring down the primes in each column.

LCM = 3² × 3² × 5³ × 5 × 7 × 11

        = 3898125

Hence the LCM is 3898125.

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Answer:

It's the hexagon and pentagon.

Answer: 44 degrees

Step-by-step explanation: 59+77+x=180

x=44

In a case whereby Grandma Gertrude gave 13 pieces of jewelry and Grandma Fien gave y pieces of jewelry to the Carlson sisters to divide evenly among themselves the number of pieces of jewelry that each sister receive can be expreesed as (13 + y)/5.

The concept that will be used here is simplification. The pieces of jewelry by Grandma Gertrude is 13 pieces

Then the pieces of jewelry by Grandma Fien can be seen as " y ".

Since 5 Carlson sisters available . The number of pieces of jewelry each sister receive. can be calculated as:

Total jewlry= (13 + y) which is needed by  5 sisters, the each of the sisters will have = [(13 + y)/5]

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complete quesion:

Grandma Gertrude gave 13 pieces of jewelry and Grandma Fien gave y pieces of jewelry to the Carlson sisters to divide evenly among themselves. There are 5 Carlson sisters.

How many pieces of jewelry did each sister receive?

Answer:

39.584034 cm

Step-by-step explanation:

Firstly find the radius, 6.3 cm. Then plug into the formula, 2πr.

I used 3.14159 as pi.

work:

2 * 3.14159 * 6.3

6.28318 * 6.3

39.584034