Answer:
C) -9.6
Step-by-step explanation:
Answer:
The point is in the 4th quadrant.
Explanation:
Given the ordered pair(4, -5), we have that x = 4 and y = -5. Plotting this point, we'll have;
Note that quadrants are labelled in an anti-clockwise direction with the top right portion of the graph as the 1st quadrant. Looking at the plotted point, we can see that it i in the 4th quadrant.
Answer: $965
Step-by-step explanation:
The used car is priced at $2,695.
If you borrow the money for the car, your payments will be $122 a month for 30 months. This means that the total amount of money that you would have paid at the end of 30 months at a rate of $122 per month is the amount paid per month multiplied by the total number of months. It becomes
Total payment = 122×30 = $3660
This means that you ended up paying higher than you would have paid if you paid cash.
Amount that you would have saved = amount paid over 30 months - cost of the car
Amount that you would have saved
= 3660 - 2695 = $965
Answer:
f(4) is 6,520 greater than g(4)
Step-by-step explanation:
De Moivre's theorem uses this general formula z = r(cos α + i<span> sin α) that is where we can have the form a + bi. If the given is raised to a certain number, then the r is raised to the same number while the angles are being multiplied by that number.
For 1) </span>[3cos(27))+isin(27)]^5 we first apply the concept I mentioned above where it becomes
[3^5cos(27*5))+isin(27*5)] and then after simplifying we get, [243 (cos (135) + isin (135))]
it is then further simplified to 243 (-1/ √2) + 243i (1/√2) = -243/√2 + 243/<span>√2 i
and that is the answer.
For 2) </span>[2(cos(40))+isin(40)]^6, we apply the same steps in 1)
[2^6(cos(40*6))+isin(40*6)],
[64(cos(240))+isin(240)] = 64 (-1/2) + 64i (-√3 /2)
And the answer is -32 -32 √3 i
Summary:
1) -243/√2 + 243/√2 i
2)-32 -32 √3 i
