Problema Solution
Samuel has a collection of toy cars. His favorites are the 27 red ones, which make up 60% of his collection. How many toy cars does Samuel have?
Answer provided by our tutors
let x = the number of toy cars that Samuel has
60% of x are 27
0.60*x = 27
by solving we find
x = 45 cars
A = P(1+i/n)^nt
A = Total amount paid
P = Principal amount
i = Annual interest
n = number of payments per year
t = time in years
Substituting the values given,
A = 1800(1+0.032/52)^52*10 = $2,478.59
Interest paid = A - P = 2478.59-1800 = $678.59
Second answer is correct.
Answer:
The ratio represents the tangent of ∠I
Step-by-step explanation:
Let us revise the trigonometry ratio
In Δ HIJ
∵ m∠J = 90°
- Hypotenuse is the side which opposite to the right angle
∴ HI is the hypotenuse
∵ HJ = 3 units
∵ IH = 5 units
- Let us use Pythagoras Theorem to find HJ
∵ (HJ)² + (IJ)² = (IH)²
∴ 3² + (IJ)² = 5²
∴ 9 + (IJ)² = 25
- Subtract 9 from both sides
∴ (IJ)² = 16
- take √ for both sides
∴ IJ = 4 units
To find the tangent of ∠I find the opposite and adjacent sides to it
∵ HJ is opposite to ∠I
∵ IJ is adjacent to ∠I
- use the rule of tan above
∴ tan(∠I) =
∴ tan(∠I) =
The ratio represents the tangent of ∠I
Answer:
x=8
Step-by-step explanation:
We have been given with the function:
Here, we have same base of logarithmic function on both sides of the equation.
So, we will equate the values on right hand side and left hand side of the equation we will get
After simplification we will get
After further simplification we will get
Hence,
Therefore the correct answer is 8.