Answer:
2,973 in^3
Step-by-step explanation:
3000- large section
27- smaller center cut-out
Answer:
Cash price
Step-by-step explanation:
The computation is shown below:
The Interest rate per month (r) = (9% ÷ 12) = 0.75%
Now Present value of the monthly payment is
= PMT × {[(1 + rate of interest)^number of years - 1] ÷ rate of interest}
= 1,499 × {[(1 + 0.75%)^12 - 1] ÷ 0.75%}
= 18,748.89
And the cash price is 15,999
So, the cash price would be lower
Answer:
x = 5, x = 1
Step-by-step explanation:
The quadratic equation 0 = 4(x - 3)2 - 16.
Using binomial theorem, (a - b)2 = a2 - 2ab + b2 to expand (x - 3)2.
0 = 4(x2 - 6x + 9 ) - 16.
Using distributive property to multiply 4 by x2 - 6x + 9.
0 = 4x2 - 24x + 36 - 16.
Subtract 16 from 36 to get 20.
0 = 4x2 - 24x + 20.
4x2 - 24x + 20 = 0.
Divide both sides by 4.
x2 - 6x + 5 = 0.
To solve the equation, factor and rewrite as x2 + ax + bx + 5
a + b = -6, ab = 1(5) = 5.
a = -5, b = -1.
Rewriting x2 - 6x + 5 as
(x2 - 5x) + (-x + 5)
Factor x in the first and -1 in the second group.
x(x - 5) - (x - 5)
Factor out common term
(x - 5)(x - 1)
By solving the above, we get
x = 5, x = 1
Answer:
a
Step-by-step explanation:
(3/4) to the power of 2 means to multiply it by itself and so, 3/4 times itself is 9/16