Answer:-87
Step-by-step explanation:
Answer:
The PV of an ordinary annuity with 10 payments of $2,700 if the appropriate interest rate is 5.5% is $20,352.
Step-by-step explanation:
P = PMT [(1 - (1 / (1 + r)
)) / r]
= 2,700 [(1 - (1 / (1 + 0.055)
)) / 0.05]
= 2,700 [(1 - (1 / (1 + 0.055))) / 0.05]
= 2,700 [(1 - (1 / (1.708)) / 0.05]
= 2,700 [(1 - 0.58)) / 0.05]
= 2,700 [(0.41457) / 0.05]
= 2,700(7.53)
=$ 20,352
The length of the rectangle is 10 cm and perimeter of the rectangle is 32 cm.
Step-by-step explanation:
Given,
The area of rectangle = 60 sq cm
Width (b) of the rectangle = 6 cm
To find the length and perimeter of the rectangle.
Formula
The area of the rectangle = l×b
The perimeter of the rectangle = 2(l+b)
According to the problem,
l×b = 60
or, l×6 = 60
or, l = 60÷6 = 10
Length (l) = 10 cm
Perimeter = 2×(10+6) cm = 32 cm
The numerator could be written a⁴/⁵
The denominator could be written a²/³
Now solve ( a⁴/⁵) / (a²/³) ==> a⁽⁴/⁵ ⁻²/³) = a⁽²/¹⁵)
This is the simplest way
Given function is f(x) = x³ -12x +16.
We can write it as x³ +0x² -12x +16.
We need to write the numbers in order from left to right, so it would be {1, 0, -12, 16}.
Given factor is x -2 = 0, that means x = 2. So we need to divide the numbers by 2.
So correct way to divide the function would be 2 L 1, 0, -12, 16.
Hence, option C is correct.
