Answer: -91
Step-by-step explanation:
(2-5)^2-(4*5^2)
Follow the order of operations.
2-5=-3 Which uses the property of parentheses
(-3)^2-(4*5^2)
(-3)^2=9 which uses the property of exponents
5^2=25 which uses the property of exponents
9-(4*25)
4*25=100 which uses the property of multiplication
=9-100 which uses the property of subtraction
=-91
I'm assuming you want to simplify the expression since it's not equal to anything.. you can't solve for "a" unless it's equal to something.
factor
8a³ - 2a²+ 12a - 3
2a²(4a - 1) + 3(4a -1)
(4a - 1) is a like term that can be combined further.
(2a² + 3)(4a - 1)
Answer:
$11040
Step-by-step explanation:
first of all the question says that $4000 were earned in a year and asks for what the new vale would be after the next 3 years with a discount rate of 8%.
If 1 year=$4000,then 3 years=$12000
100%-8%=92% (this happens because there is still a remaining amount that still has a cost to it),so 12000*92%=$11040
The term in the expansion:
T ( k+1) = n C k * A^(n-k) * B^k.
In this case: n = 11, k + 1 = 8, so k = 7.
A = x, B = - 3 y
T 8 = 11 C 7 * x^(11-7) * ( - 3 y )^7 =
=( 11 *10 * 9 * 8 * 7 * 6 * 5 ) / ( 7 * 6 * 5 * 4 * 3 * 2 * 1 )* x^4 * ( - 2,187 y^7 ) =
= 330 * ( - 2,187 ) x^4 y^7 = - 721,710 x^4 y^7
Answer: The 8th term in expansion is