Answer:
The interest rate for the given investment is 18%.
Step-by-step explanation:
We are given that,
The function representing the investment model is, .
It is required to find the interest rate for the investment.
Since, the function can be re-written as,
i.e.
So, on comparing with the formula for compound interest i.e. , where 'r' is the interest rate.
We have that,
The interest rate for the given investment is 0.18 i.e. 18%.
Answer: the diagonal is 10 units
Step-by-step explanation:
The rectangle has 2 parallel and equal sides. Each of the 4 angles in a rectangle is 90°. Therefore, the diagonal of the rectangle divides it into 2 equal right angle triangles and the diagonal represents the hypotenuse of both right triangles.
To determine the length of the diagonal of the rectangle, d, , we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
Therefore
d² = 5² + (5√3)²
d² = 25 + 25×3 = 100
d = √100
d = 10 units
