Answer:
$540.98
Step-by-step explanation:
future value= $ 50,000
number of deposits (n)= 8*12 = 96
rate (r) = 4% per month
= 4÷12 per annum
= 0.33% p.a
i = 0.33÷100
= 0.0033
We know,
Future value of annuity = P÷i [ (1 + i)^n - 1 ]
$50,000 = P÷ 0.0033 [ ( 1+0.0033)^96 - 1]
$50,000 * 0.0033=P [ (1.0033)^96 - 1 ]
$165 = P*0.305
P = $165÷0.305
P = $ 540.98
Rough::
let x= 1.0033)^96
log x = 96 * log (1.0033)
log x = 0.1156
x = Antilog (0.1156)
= 1.305
1.305 - 1 = 0.305
Answer:
a straight line through the zero
Answer:
Therefore,
The area of the rectangle in terms of width
Step-by-step explanation:
Let the Width of rectangle be 'W' inches.
The length of a rectangle be 'L' inches.
According to the given condition,
Length = 2 + Width
To Find:
Area of Rectangle in terms of Width = ?
Solution:
We have area of rectangle given as
Substituting the values we get
Applying Distributive property A(B+C)=AB+ACwe get
.......As required
Therefore,
The area of the rectangle in terms of width
Answer:
4/52 or 1/13
Step-by-step explanation:
In a standard deck of 52 cards, there are 4 suits and each suit has 13 cards.
There are 4 kings, 4 queens, 4 aces, and 4 jacks.
So the probability of drawing a king would be:
4/52 = 1/13
Answer:
Option (A) and (C).
Step-by-step explanation:
Prime polynomial can't be written as a product of lower degree polynomials.
(A)
=8x²-6x-4x-3
=2x(4x-3)-1(4x+3)
Here we can't write the polynomial as a product of lower degree.
Therefore it is a prime polynomial.
(B)
8x²+2x-3
=8x²+6x-4x-3
=2x(4x+3)-1(4x+3)
=(4x+3)(2x-1)
Therefore it is not a prime polynomial.
(C)
8x²-6x-3
Therefore it is a prime polynomial.
(D)
8x²+23x-3
=8x²+24x-x-3
=8x(x+3)-1(x+3)
=(x+3)(8x-1)
Therefore it is not a prime polynomial.