Well 19 would be 399 and for 20. the discount is 12.87 and the price of it after the discount is 26.13
Let's use the variable "r" to represent the investment rate of the stocks:
2r(500) + r(800) = 45
1000r + 800r = 45
1800r = 45
r = 0.025
2r = 0.05
The $500 is invested at 5%
Answer:
f(x) =
is the simplest expression
Step-by-step explanation:
We are given an expression and we are supposed to find the simplest form of the given expression.
The given expression is
f(x) = ![\sqrt[3]{4x^{2} } \times \sqrt[3]{8x^{7} }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B4x%5E%7B2%7D%20%7D%20%5Ctimes%20%5Csqrt%5B3%5D%7B8x%5E%7B7%7D%20%7D)
Since the cube root is common we can multiply the quotient inside the radical sign.
f(x) = ![\sqrt[3]{32x^{(2+7)} }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B32x%5E%7B%282%2B7%29%7D%20%7D)
= ![\sqrt[3]{32x^{9} }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B32x%5E%7B9%7D%20%7D)
= 
= 
f(x) =
is the simplest expression
Answer:
see explanation
Step-by-step explanation:
Using the Sine rule in all 3 questions
(1)
=
, substitute values , firstly calculating ∠ B
[ ∠ B = 180° - (78 + 49)° = 180° - 127° = 53° ]
=
( cross- multiply )
a sin53° = 18 sin78° ( divide both sides by sin53° )
a =
≈ 22.0 ( to the nearest tenth )
(3)
=
, substitute values
=
( cross- multiply )
45 sinC = 35 sin134° ( divide both sides by 35 )
sinC =
, then
∠ C =
(
) ≈ 34.0° ( to the nearest tenth )
(5)
Calculate the measure of ∠ B
∠ B = 180° - (38 + 92)° = 180° - 130° = 50°
=
, substitute values
=
( cross- multiply )
BC sin50° = 10 sin38° ( divide both sides by sin50° )
BC =
≈ 8.0 ( to the nearest tenth )
Because for each x-value in the domain of this relationship, except for 0, there is more than one y-value, this is NOT a function.