Answer:
First account= 2500
Second account= 4000
Step-by-step explanation:
Total amount invested: 6500
Amount in first account: x
Amount in second account: y
x+y=6500
1.13x+0.9y=6500-75=6425
You have two equation now just solve the system of equation through either substitution or elimination.
Then you'll get the answer
x= 2500
y= 4000
Answer:
(u - 1)(4u + 3)
Step-by-step explanation:
Given
4u² - u - 3
Consider the factors of the product of the coefficient of the u² term and the constant term which sum to give the coefficient of the u- term.
product = 4 × - 3 = - 12 and sum = - 1
The factors are - 4 and + 3
Use these factors to split the u- term
4u² - 4u + 3u - 3 ( factor the first/second and third/fourth terms )
= 4u(u - 1) + 3(u - 1) ← factor out (u - 1) from each term
= (u - 1)(4u + 3)
Thus
4u² - u - 3 = (u - 1)(4u + 3) ← in factored form
Answer:
Step-by-step explanation:
In the rectangular complex number -9√3 + 9i, which has a standard form a + bi, the a = -9√3 and the b = 9. We need this in polar form (r, θ) where
and filling in:
(notice we do not put the i in there with the 9).
so
r = 18. Now let's move on to the angle, which is a little more difficult. The angle is found in the inverse tangent ratio:
so filling that in, we have:
Since tangent is the side opposite over the side adjacent, y is positive and x is negative in the second quadrant. This is a 30 degree angle in QII, which has a reference angle of 150 degrees. This angle in radians is 
, so the polar form of that number is (18, 
)
N/0.05 - 2 < -4.6
n/0.05 < -4.6 + 2
n/0.05 < --2.6
n < -0.13
That prob means you got it wrong, unless your teacher told you that there could be a decimal
