Christo wants to buy a small wine farm worth R8 500 000. He plans to sell his current home for R3 400 000 which he will use as a deposit for the purchase of the farm. He secures a loan with a bank with a repayment period of 10 years and an interest rate of 9, 5% compounded monthly. Calculate his monthly repayments.​

Answer:

20, 30, 50, they all go into 2 and they also go into 6, two doesn't divide equally into 5.

Answer:

D

Step-by-step explanation:

solution is the points where the two graphs intersect.

they intersect at (-3,-3) and (0,6)

Answer:

Answer is A I believe

Step-by-step explanation:

The value of w from the given triangle VWX is 5 units. Therefore, option D is the correct answer.

Law of Sines In trigonometry, the law of sines, sine law, sine formula, or sine rule is an equation relating the lengths of the sides of any triangle to the sines of its angles.

The formula for sine rule is sinA/a=sinB/b=sinC/c

From the given triangle VWX, ∠X=51°, ∠W=16° and VW=x=14.

Here, sinX/x=sinW/w

sin51°/14=sin16°/w

0.7771/14=sin16°/w

0.7771/14=0.2756/w

0.0555=0.2756/w

w=0.2756/0.0555

w=4.965

w≈5

Therefore, option D is the correct answer.

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Answer:

y = -x +2

Step-by-step explanation:

1. First, let's find the slope of passing through two points with the formula \((y_2-y_1)/(x_2-x_1)\) , and use the points (0,2) and (2,0).

2. Now that we have our slope, the equation should look like this so far: y = -x + b.

3. Since b is equal to the y-intercept, we can clearly see in the given graph that the y-intercept is 2.

4. When we plug in the value of the slope and y-intercept, we now get the equation: y = -x + 2.

5. (Extra) In point-slope form, the equation is y - 2 = -x, and in standard form, it's x + y - 2 = 0.

The probability that in a given race, her finishing time will be between 75 and 78 seconds, using the normal distribution, is of:

0.4772 = 47.72%.

The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:

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

The mean and the standard deviation for the finishing times are given as follows:

\(\mu = 75, \sigma = 1.5\)

The probability that in a given race, her finishing time will be between 75 and 78 seconds, is the p-value of Z when X = 78 subtracted by the p-value of Z when X = 75, hence:

X = 78:

Z = (78 - 75)/1.5

Z = 2

Z = 2 has a p-value of 0.9772.

X = 75:

Z = (75 - 75)/1.5

Z = 0

Z = 0 has a p-value of 0.5.

0.9772 - 0.5 = 0.4772 = 47.72%.

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Answer: one senior ticket is $8 and one student ticket is $14

Hope this helps a little

Answer:

2,230

Step-by-step explanation:

Answer:

it's 6

Step-by-step explanation:

You can think of it 2 ways the first one is called the "bat and ball" method which is 12x15 then u divide it by 30. The other methos only works on very few if you look at the 30/15 one 15 is half of 30 so when you look at 12 half of that would be 6. Hope this helps :)

Answer:

True

Step-by-step explanation:

Answer:

  all are 60°

Step-by-step explanation:

The midpoints of the angle bisector and the foot of the median will lie on the midsegment of the triangle. In order for the foot of the altitude to lie on that same midsegment, the altitude must be a median.

If the angle bisector intersects the midpoint of the midsegment, it, too, is a median. The angle bisector will be a median only if the triangle is isosceles with the bisector's angle being the a.pex. The altitude will be a median only if the altitude's vertex is the a.pex of an isosceles triangle. Hence, the triangle must be equilateral, and all angles are 60°.

Answer:

2/3

Step-by-step explanation:

3x-5=-3

3x=-3+5

3x=2

x=2/3

The value of k is 18.

If x + 2 is a factor of f(x) = x^3 + 5x + k, it means that when x = -2, the expression f(x) becomes zero.

Substituting x = -2 into f(x), we have:

f(-2) = (-2)³ + 5(-2) + k

= -8 - 10 + k

= -18 + k

Since f(-2) should equal zero, we have:

-18 + k = 0

k = 18

Therefore, the value of k is 18.

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Answer:

3 1/10 and 1 3/5

Step-by-step explanation:

Answer:

5/16

Step-by-step explanation:

Use the formula to find slope when 2 points are given.

m = rise/run

m = y2 - y1 / x2 - x1

m = 3 - 8 / -10 - 6

m = -5 / -16

m = 5/16

The slope of the line is 5/16.

Answer: m=5/16

Step-by-step explanation:

Answer:

A. Reflection across the y-axis

Step-by-step explanation:

Answer:

y = 22

Step-by-step explanation:

One hundred five is equal to seventy-eight plus y.

Answer:

I think answer A

Step-by-step explanation:

Im very sorry if thats wrong

Answer:

espera y termino y te ayudo vale que me falta poco vale

Answer:

Step-by-step explanation:

Use slope formula:

Answer:

The answer is  h = -3

Step-by-step explanation:

(1 - h)/(10 - 3) = 4/7

(1 - h) / 7 = 4/7

1 - h = 4

h = 1 - 4

h = -3

Answer:

The test statistic is t = 3.24.

Step-by-step explanation:

We want to test the hypothesis that the fuel additive has mean mpg less than the mean mpg without the additive.

This means that the null hypothesis is that the difference is less than 0, while the alternate hypothesis is that the difference is 0 or more.

The test statistic is:

\(t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}\)

In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis, \(s\) is the standard deviation of the sample and n is the size of the sample.

0 is tested at the null hypothesis:

This means that \(\mu = 0\)

Randomly select 10 cars

This means that \(n = 10\)

The sample mean difference in gas mileage (mpg with additive - mpg without additive) is 0.41 mpg with a sample variance of 0.16.

This means that \(X = 0.41, s = \sqrt{0.16} = 0.4\)

Calculate the test statistic.

\(t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}\)

\(t = \frac{0.41 - 0}{\frac{0.4}{\sqrt{10}}}\)

\(t = 3.24\)

The test statistic is t = 3.24.

The table can be summarized as follows:

|          | Has a dog | Does not have a dog |

|----------|-----------|---------------------|

| Has a cat     | 2         | 3                   |

| Does not have a cat | 12        | 10                  |

To find the probability that a student chosen randomly from the class has a cat, we need to find the total number of students who have a cat (regardless of whether or not they have a dog), and divide it by the total number of students in the class.

The number of students who have a cat is 2 (those who have a dog and a cat) + 3 (those who have a cat but do not have a dog) = 5.

The total number of students in the class is the sum of all four categories: 2 (has a cat and a dog) + 3 (has a cat, does not have a dog) + 12 (does not have a cat, has a dog) + 10 (does not have a cat, does not have a dog) = 27.

So, the probability that a student chosen randomly from the class has a cat is 5/27.

Answer: C.

Step-by-step explanation:Parallel lines never touch so they cant be intersecting.

Answer:

m = 5

Step-by-step explanation:

                   ( x , y )

here x is m and y is 5, lets put it in the equation to solve:

5x-y=20

5(m) - 5 = 20

5m = 20 + 5

5m = 25

m = 25/5

m = 5

Mary has left with a 1 kilometer  i.e. \(\frac{2}{7}\) of the journey is incomplete

Given that Mary is going for a 3.5 km walk. So far she’s walked 1.55 km through the park, 0.6 km across the bridge, and 0.35 km up the hill and asked to find the  fraction of the walk she has left

Total journey distance = 3.5 kilometers

Distance walked by mary on the bridge=0.6 kilometers

Distance walked by mary through the park=1.55 kilometers

Distance walked by mary up the hill=0.35 kilometers

Total distance traveled by mary=(0.6+1.55+0.35)kilometers

Total distance traveled by mary=2.5 kilometers

The distance left=3.5 kilometers-2.5 kilometers

The distance left=1 kilometer

1 kilometer is  \(\frac{2}{7}\) of the journey by assuming 3.5 kilometer will complete the jouney

Therefore, Mary has left with a 1 kilometer  i.e. \(\frac{2}{7}\) of the journey is incomplete

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Answer:

Yes.

Step-by-step explanation:

.

If wheel on a scooter completes 124 revolutions and travels 22.4 meters then  diameter of the wheel is 57 mm

Each revolution of the wheel covers a distance equal to the circumference of the wheel.

The diameter of the wheel "d".

The distance covered in 124 revolutions is:

distance = 124 x circumference

= 124 x pi x d

= 124 x 3.14 x d

We know that this distance is equal to 22.4 meters, so we can set up an equation:

124 x 3.14 x d = 22.4

Simplifying and solving for d:

d = 22.4 / (124 x 3.14)

d = 0.057 meters

As we know that 1 meter is equal to thousand millimeters so multiply by 1000 to get in millimeters

d = 57 millimeters

Therefore, the diameter of the wheel is approximately 57 mm.

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The value of m + n is given as follows:

A. 18.

The exponential expression for this problem is defined as follows:

\((x^5y^6)^{\frac{1}{5}}(x^3y^4}^{\frac{1}{4}}\)

Applying the power of power rule, we have that the exponents are given as follows:

Then the values of m and n are given as follows:

m = 7, n = 11.

Thus the sum is given as follows:

m + n = 7 + 11 = 18.

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The differentiation of the given function f(x) = eˣ+6 is eˣ

The derivative of a function of a real variable measures the sensitivity to change of the function value with respect to a change in its argument. Derivatives are a fundamental tool of calculus.

Given is function f(x) = eˣ+6, we need to find the derivative of this function,

f(x) = eˣ+6

f'(x) = d / dx (eˣ+6)

= d(eˣ)/dx + d(6)/dx

Since, 6 is a constant and derivative of a constant is zero,

d(eˣ)/dx + d(6)/dx = d(eˣ)/dx + 0

Now, when we differentiate eˣ, we get eˣ itself,

Therefore,

d(eˣ)/dx = eˣ

Therefore, the differentiation of the given function f(x) = eˣ+6 is eˣ

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