The table shows values for the two functions F and
g for different values of x.
What is f(g(0))?

In order to calculate the time it will take for Andrew to settle the loan, we can use the formula for compound interest. So, it will take Andrew approximately 5.22 years to settle the loan.

The formula is given as A = P(1 + r/n)^(nt), Where: A = the final amount, P = the principal (initial amount borrowed), R = the annual interest rate, N = the number of times the interest is compounded in a year, T = the time in years.

We know that Andrew borrowed R200 000 from a bank at an annual interest rate of 5.25% compounded quarterly and that he will make repayments of R6 000 at the end of every 3 months.

Since the first repayment will be made 3 months from now, we can consider that the initial loan repayment is made at time t = 0. This means that we need to calculate the value of t when the total amount repaid is equal to the initial amount borrowed.

Using the formula for compound interest: A = P(1 + r/n)^(nt), We can calculate the quarterly interest rate:r = (5.25/100)/4 = 0.013125We also know that the quarterly repayment amount is R6 000, so the amount borrowed minus the first repayment is the present value of the loan: P = R200 000 - R6 000 = R194 000

We can now substitute these values into the formula and solve for t: R194 000(1 + 0.013125/4)^(4t) = R200 000(1 + 0.013125/4)^(4t-1) + R6 000(1 + 0.013125/4)^(4t-2) + R6 000(1 + 0.013125/4)^(4t-3) + R6 000(1 + 0.013125/4)^(4t)

Rearranging the terms gives us: R194 000(1 + 0.013125/4)^(4t) - R6 000(1 + 0.013125/4)^(4t-1) - R6 000(1 + 0.013125/4)^(4t-2) - R6 000(1 + 0.013125/4)^(4t-3) - R200 000(1 + 0.013125/4)^(4t) = 0

Using trial and error, we can solve this equation to find that t = 5.22 years (rounded to 2 decimal places). Therefore, it will take Andrew approximately 5.22 years to settle the loan.

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Given:

A circle with center O, LN and MP are two diameters.

To find:

The minor arcs of the given circle.

Solution:

If any arc of a circle is less than its semicircle, then the arc is called is minor arc.

Since LN and MP are two diameters, therefore they divide the circle is two equal parts. So, the arc LN and arc MP are semicircles.

If arc LN and arc MP are the semicircles, then arc LM, arc MN, arc PL and arc NP are less than the semicircle.

So, arc LM, arc MN, arc PL and arc NP are minor arcs.

Therefore, the correct option is A.

a) 2y = 3x + 8 This equation represents the line passing through the midpoints of BC and AD.

b) the length of the line segment joining the midpoints is indeed half the sum of the lengths of the parallel sides.

a) To show that the line segment joining the midpoints of BC and AD is parallel to both AB and DC, we need to demonstrate that the slopes of the lines are equal.

Let's first find the coordinates of the midpoints of BC and AD:

Midpoint of BC: ( (−2+−4)/2 , (1−2)/2 ) = (−3,-1/2)

Midpoint of AD: ( (1+2)/2 , (2+0)/2 ) = (3/2, 1)

Now, let's calculate the slopes:

Slope of AB: (1-2)/(-2-1) = -1/3

Slope of DC: (-2-0)/(-4-2) = -1/3

Since both slopes are equal, AB is parallel to DC.

Next, let's find the equation of the line passing through the midpoints of BC and AD. We'll use the point-slope form.

Slope of the line passing through the midpoints:

(1-(-1/2))/(3/2-(-3)) = 3/2

Using the midpoint (−3,-1/2), we can write the equation of the line as:

y - (-1/2) = (3/2)(x - (-3))

y + 1/2 = (3/2)(x + 3)

2y + 1 = 3x + 9

2y = 3x + 8

This equation represents the line passing through the midpoints of BC and AD.

b) To show that the length of this line segment is half the sum of the lengths of the parallel sides, we need to calculate the lengths of AB, DC, and the line segment joining the midpoints.

Length of AB:

√((-2-1)^2 + (1-2)^2) = √(9 + 1) = √10

Length of DC:

√((-4-2)^2 + (-2-0)^2) = √(36 + 4) = √40 = 2√10

Length of the line segment joining the midpoints:

√((3/2-(-3))^2 + (1-(-1/2))^2) = √((9/2)^2 + (3/2)^2) = √((81/4) + (9/4)) = √(90/4) = √(9/4 * 10) = (3/2)√10

The sum of the lengths of AB and DC is:

√10 + 2√10 = 3√10

The length of the line segment joining the midpoints is:

(3/2)√10

We can see that the length of the line segment is indeed half the sum of the lengths of AB and DC:

(3/2)√10 = (1/2) * 3√10 = (1/2) * (√10 + 2√10) = 3/2√10 = 3/2√10

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Answer:

Step-by-step explanation:

correct

\(\frac{\sqrt{2} }{3}\)

is a fraction and also irrational number.

The expected gain or loss of an experiment over the long run is called the expected value.

The expected value is the weighted average of all possible outcomes, where the weights are the probabilities of those outcomes occurring. It is calculated by multiplying each possible outcome by its probability of occurring and then adding up these products. The expected value can be used to make decisions and assess risk in various fields, including finance, economics, and gambling. If the expected value is positive, it means that, on average, the experiment will result in a gain, while a negative expected value indicates a loss.

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Answer:

40min=3.5miles

40/3.5=1mile

40/3.5×8=8miles

91.428 min

1hr and 31 min

Answer:

12.87 km

Step-by-step explanation:

searched it up

Answer:

the answer is c

Step-by-step explanation:

I did the test

Answer:

A 1.3

Step-by-step explanation:

probabilities lie between 0 and 1 and cannot be more or less

Answer:

430 cm^2

thankuhh

have a nice day

True. BCNF (Boyce-Codd Normal Form) decomposition guarantees that we can still verify all original functional dependencies (FDs) without needing to perform joins.

BCNF decomposition ensures that the resulting relations have no non-trivial FDs that violate BCNF, which means all FDs in the original relation are preserved in the decomposed relations. Therefore, we can still verify all original FDs in the decomposed relations without the need to perform joins.

The statement "BCNF decomposition guarantees that we can still verify all original FDs without needing to perform joins" is true. BCNF (Boyce-Codd Normal Form) decomposition ensures the preservation of all original functional dependencies (FDs) without requiring additional join operations.

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Answer:

0.01

Step-by-step explanation:

The answer I got was 0.01041667

You go to the hundreths place and the 0 and the 4 tell you to round up.

I hope this helped

Answer: .01 weeks

Step-by-step explanation:

The value is used for the term p^2 in the equation p^2+ 2pq + q^2 = 1 is 0.16.

According to the statement

we have given that the allele frequency of the dominant allele is 0.4, and we have to find that the value of p^2 in the equation p^2+ 2pq + q^2 = 1.

So, For this purpose, we know that the

The allele frequency represents the incidence of a gene variant in a population. Alleles are variant forms of a gene that are located at the same position, or genetic locus, on a chromosome.

And here

allele frequency is the 0.4 and represent the value of P.

So, The value of p is 0.4 and the

Then p^2 = (0.4)^2

so, the value becomes

p^2 = (0.4)^2

p^2 = 0.16.

So, The value is used for the term p^2 in the equation p^2+ 2pq + q^2 = 1 is 0.16.

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Answer:

h = r/b

Step-by-step explanation:

Answer:

Step-by-step explanation:

H = R  

      B

(a) To find the transition matrix from C to B, we express each vector in C as a linear combination of vectors in B and form a matrix with the coefficients. The columns of the matrix are the coordinate vectors of the vectors in C with respect to B.

(b) To find the transition matrix from B to C, we express each vector in B as a linear combination of vectors in C and form a matrix with the coefficients. The columns of the matrix are the coordinate vectors of the vectors in B with respect to C.

(c) To write p(x) = a + bx + cx² as a linear combination of the polynomials in C, we equate the coefficients of corresponding powers of x. This gives us a system of equations that can be solved to find the coefficients a, b, and c.

(d) To show that T is a linear transformation, we need to verify that it satisfies the properties of linearity: T(u + v) = T(u) + T(v) and T(cu) = cT(u), where u and v are vectors and c is a scalar.

(e) The matrix representation [T]B of T with respect to B is obtained by applying T to each vector in B and expressing the results as linear combinations of vectors in B. The columns of [T]B are the coordinate vectors of the images of the vectors in B.

(f) The matrix representation [T]C of T with respect to C is obtained by applying T to each vector in C directly and expressing the results as linear combinations of vectors in C. The columns of [T]C are the coordinate vectors of the images of the vectors in C.

(g) We can find [T]C from [T]B using the change of basis formula: [T]C = P^(-1) [T]B P, where P is the transition matrix from B to C.

(h) The eigenvectors and eigenvalues of T can be determined by solving the characteristic equation of [T]B or [T]C. Eigenvectors are vectors that remain in the same direction under the transformation, and eigenvalues correspond to the scaling factor of the eigenvectors. They provide insight into the behavior and properties of T on the vector space.

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Answer:

Step-by-step explanation:

100-43=57%

57/100 x 101

0.57 x 101

£57.57

or

43/100 x 101

0.43 x 101

43.43

100-43.43

=£57.57

Answer:x − x^{2} − 1.

Step-by-step explanation:

.

Examining the graph the quadratic function is increasing at

A quadratic graph is a traces the part of a parabola, while quadratic equation is a polynomial equation with 2 degrees.

The behavior of the quadratic function is lowest at the symmetry or point of vertex. other sides by the left or right the function is increasing

The vertex is at point (3, 0) this is same as say x = 3. points above this point shows increasing values of function y and points below the value shows increasing values for function y too

this is represented as x > 3 for x above 3 and x ,< 3 for x below the value of 3

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Answer:

1/2 half

Step-by-step explanation:

(1/3)/2 = 1/6

1/6 + 1/3 = 1/6 + 2/6 = 3/6 = 1/2

Answer:

0.3144654088

Step-by-step explanation:

6/19.08=0.3144654088

The slope between D and B is the same as the slope between E and F because BC/DC = GE/GF = ½.

Find the slope between D and B:

Slope of DB = BC/DC

Slope of DB = 3 units / 6 units

Slope of DB = ½

Find the slope between E and F:

Slope of EF = GE/GF

Slope of EF = 2 units / 4 units

Slope of EF = ½

Therefore, the slope between D and B is the same as the slope between E and F because BC/DC = GE/GF = ½.

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Answer:

1700 divided by 40 and that would be 42.5 so she does 42 1/2 meters a minute.

Answer:

8^2 64 =8 X 8

9^2 81 =9 X 9

10^2 100 =10 X 10

11^2 121 =11 X 11

12^2 144 =12 X 12

13^2 169 =13 X 13

Hope it helps :))

Hi!
Let's write this out.
Her limit is $900, and she's used $450. So, we subtract 450 from 900.
900-450 = 450.

So, she has $450 available credit left.
Hope this helps!
~~~PicklePoppers~~~

Answer: your credit utilization ratio on that card would be 50% but the answer is 450

Step-by-step explanation:

900-450 = 450

The correct answer is D. f(x) = 11x - 4 and g(x) = (x + 4)/11

To determine which pair of functions are inverses of each other, we need to check if the composition of the functions results in the identity function, which is f(g(x)) = x and g(f(x)) = x.

Let's test each option:

Option A:

f(x) = x/2 + 15

g(x) = 12x - 15

f(g(x)) = (12x - 15)/2 + 15 = 6x - 7.5 + 15 = 6x + 7.5 ≠ x

g(f(x)) = 12(x/2 + 15) - 15 = 6x + 180 - 15 = 6x + 165 ≠ x

Option B:

f(x) = ∛3x

g(x) = (x/3)^3 = x^3/27

f(g(x)) = ∛3(x^3/27) = ∛(x^3/9) = x/∛9 ≠ x

g(f(x)) = (∛3x/3)^3 = (x/3)^3 = x^3/27 = x/27 ≠ x

Option C:

f(x) = 3/x - 10

g(x) = (x + 10)/3

f(g(x)) = 3/((x + 10)/3) - 10 = 9/(x + 10) - 10 = 9/(x + 10) - 10(x + 10)/(x + 10) = (9 - 10(x + 10))/(x + 10) ≠ x

g(f(x)) = (3/x - 10 + 10)/3 = 3/x ≠ x

Option D:

f(x) = 11x - 4

g(x) = (x + 4)/11

f(g(x)) = 11((x + 4)/11) - 4 = x + 4 - 4 = x ≠ x

g(f(x)) = ((11x - 4) + 4)/11 = 11x/11 = x

Based on the calculations, only Option D, where f(x) = 11x - 4 and g(x) = (x + 4)/11, satisfies the condition for being inverses of each other. Therefore, the correct answer is:

D. f(x) = 11x - 4 and g(x) = (x + 4)/11

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Answer:

17.0 m/s

Step-by-step explanation:

Using SUVAT:

\(s= \\u=7.0\:\textsf{m/s}\\v=v \\a=2.0\:\textsf{m/s}^2\\t=5\: \sf s\)

\(\begin{aligned}\textsf{Using}\quad v & =u+at\\ \implies v & = 7.0+2.0(5)\\ & = 7.0+10.0\\ & = 17.0\:\textsf{m/s} \end{aligned}\)

Answer:

14.5

Step-by-step explanation:

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

The value of y when x is 9 and the constant of proportionality(k) is 4 is 36.

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given, x and y vary directly and y is 44 when x is 11.

Let, y ∝ x.

y = kx.

44 = 11k.

k = 44/11.

k = 4.

Now x = 9.

y = 4×9.

y = 36.

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Answer:

4000 should be 40 to be correct. simple wrong steps.

Step-by-step explanation: