Answer:
39
Step-by-step explanation:
Formula for the nth term (an) = a1 + d(n - 1) where a1 = the first term and d = common difference.
So here the 13th term = 3 + 3(13 - 1)
= 3 + 3*12
= 39 (answer).
The people will there need to be in order for the second company to be less expensive in 1st restaurant.
Always assume the unknowns are variables when attempting to find them, and then construct the equation using the parameters specified in the question.
Admission fee for 1st restaurant = $1
Charge for 1st restaurant per person = $7
Admission fee for 2nd restaurant = $15
The number of employees required for 2nd restaurant need to have in order to be less expensive = x
Total amount needed for 1st restaurant = $1 + $7 = $8
To make the 2nd restaurant less expensive =
As the total amount of 1st restaurant is $8 and the admission fee 2nd restaurant itself is $15 2nd restaurant is more expensive than the 1st one.
To learn more about Word problems related to arithmetic operation from the link:
brainly.com/question/24464054
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Answer:
12 + -6i
a=12
b=-6
Step-by-step explanation:
( -4 + 3i ) ( -3 - 2i )
-4 * -3 = 12
3i * -2i= -6i
12 + -6i
Scarlet is leaning a 12 foot ladder. When you lean a 12 foot ladder, it is s slanted so we will make 12 our slanted side or hypotenuse. It makes a 80 degree angle after contact with the ground so it will be on the lowest angle on the right. We are asked to find the vertical side or how high up the ground is. We are asked to a angle that is opposite of the given angle which is x .. And we are also given the hypotenuse. We are going to use sin using our SOHCAHTOA

Where there is our given angle.
Let plug it in

Multiply 12 by both sides and we get

Which about 11.8 if rounded to nearest tenth or 11.82 if rounded to nearest hundredth.
IF ROUNDED TO NEAREST TENTH, 11.8
IF ROUNDED TO NEAREST HUNDRETH, 11.82
Answer:
1
Step-by-step explanation:
(-6,4) and (2,12)
slope = m = (y2 - y1) / (x2 - x1)
= 12 - 4 / 2 - (-6)
= 8/8
= 1