Answer:
cost price $500
Step-by-step explanation:
90/100(x) + 150 = 120/100(x)
(120-90)/100(x) = 150
30/100(x) = 150
30x = 15000
x = 500
<h3>
Answer: -17</h3>
=====================================================
Explanation:
Let's evaluate the inner function g(-9) first.
Plug x = -9 into g(x). Simplify.
g(x) = -2x-14
g(-9) = -2*(-9) - 14
g(-9) = 18 - 14
g(-9) = 4
This means f(g(-9)) updates to f(4) because we can replace g(-9) with 4.
We'll repeat the same idea as above, but now pick on f(x). Plug in x = 4.
f(x) = x^2 - 6x - 9
f(4) = 4^2 - 6(4) - 9
f(4) = 16 - 24 - 9
f(4) = -8 - 9
f(4) = -17
Therefore, f(g(-9)) = -17
Calculation of the princ ipal loan amount:-
Amount = Principal (1 + Rate X Time).
R1000,000 = P (1 + 0.087 X 5).
R1, 000,000 = P (1 + 0.435).
Principal loan
=
R
1000
,
000
1.435
=
1.435
R1000,000
Principal loan = R696,864.11.
Answer:
<em>Answer: a 5/3</em>
Step-by-step explanation:
<u>Ratios as Fractions</u>
The ratio 3:5 can be expressed as the fraction
If we wanted to express the ratio in the form 1:n, we can manipulate the fraction in such a way that it has the number 1 in the numerator.
Dividing numerator and denominator by 3:
Simplifying:
Thus, the fraction represents the ratio:
Answer: a 5/3
Answer:
Step-by-step explanation:
We can use basic trig. for a right triangle to solve this problem. In any right triangle, the tangent of an angle is equal to its opposite side divided by the hypotenuse (longest side) of the triangle.
The right triangle we're looking at involves the two dotted lines and an edge of the prism.
The bottom dotted line is a diagonal of the rectangular base of the prism. We can use the Pythagorean Theorem to find its length.
The Pythagorean Theorem states that for any right triangle, , where and are the two legs of the triangle and is the hypotenuse.
In this case, the two legs are 9 and 12 and we are solving for :
This is theta's adjacent side. Its opposite side is an edge of the prism labelled as 8 inches. Therefore, we have the following equation:
Take the inverse tangent of both sides:
Simplify using :