Answer:
Amount of loan pay = $6.840 (Approx.)
Step-by-step explanation:
Given:
Amount of loan borrow = $4,500
Rate of interest = 15% = 0.15
Number of year = 3 year
Find:
Amount of loan pay
Computation:
Future value = Present value[1+r]ⁿ
Amount of loan pay = Amount of loan borrow[1+r]ⁿ
Amount of loan pay = 4,500[1+0.15]³
Amount of loan pay = 4,500[1.15]³
Amount of loan pay = 4,500[1.52]
Amount of loan pay = $6.840 (Approx.)
Answer:
The equation would be y = x + 5, in which x is the number of weeks and y is the number of books he has.
Step-by-step explanation:
We know this because even at 0 weeks, he still has 5 books. Therefore we put this as the constant at the end. Then we can add the number of weeks since the rate is one book per week.
Answer:
[-5, 4) ∪ (4, ∞)
Step-by-step explanation:
Given functions:
Composite function:
![\begin{aligned}(f\:o\:g)(x)&=f[g(x)]\\ & =\dfrac{1}{\sqrt{x+5}-3} \end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%28f%5C%3Ao%5C%3Ag%29%28x%29%26%3Df%5Bg%28x%29%5D%5C%5C%20%26%20%3D%5Cdfrac%7B1%7D%7B%5Csqrt%7Bx%2B5%7D-3%7D%20%5Cend%7Baligned%7D)
Domain: input values (x-values)
For 
to be defined:
Therefore, 
and 
⇒ [-5, 4) ∪ (4, ∞)
Answer:
86.6
Step-by-step explanation:

Here, AB represents height of the building, BC represents distance of the building from the point of observation.
In the right triangle ABC, the side which is opposite to the angle 60 degree is known as opposite side (AB), the side which is opposite to 90 degree is called hypotenuse side (AC) and the remaining side is called adjacent side (BC).
Now we need to find the length of the side AB.
tanθ = Opposite side/Adjacent side
tan 60° = AB/BC
√3 = AB/50
√3 x 50 = AB
AB = 50√3
Approximate value of √3 is 1.732
AB = 50 (1.732)
AB = 86.6 m
So, the height of the building is 86.6 m
Answer:
Step-by-step explanation:
