Kadeem earns a salary of $1,800 per month plus a 10% commission on his sales. he decided to save a 20% of his salary and 25% of his commissions each month. set up the equation that gives the monthly amount, s(x), he saves as a function of x, his total monthly sales.

S(x) = 360 + 0.025x

Step-by-step explanation:

Let Sm be Salary per month

Let x be sales per month

Let S(x) be savings per month

Sm = 1800 + 0.1x

where 0.1x is the commission on sales

S(x) =  20% of 1800 + 25% of 0.1x

20% of 1800 = 20/100 * 1800 = 360

25% of 0.1x = 25/100 * 0.1x = 0.025x

Therefore,

S(x) = 360 + 0.025x

d. it is a convex pentagon because it has five sides and none of the sides would extend into the inside of the polygon.

step-by-step explanation:

step-by-step explanation: so we look at the formula un = a + (n-1)d

un is the amount of seats

n is the nth term aka row number

a is the original sequence/row number

d is the difference between each term

so in this a=22 d=6 and n can remain as n because we are simply formjng a rule

lets put these in the equation

un=22+(n-1)(6)

this is your answer to part a

however

lets double check that this is correct, we'll try putting it into the second term

un=a+(n-1)d

u2=22+(2-1)(6)

u2=22+6

u2=28

as the question said the second row has 28 seats so now we know the formula we made is correct.

as for part b

un=a+(n-1)

its asking us to find a row with 100 seats.

remember un was the amount of seata so all we do is substitute this in.

un=100 a=22 d=6

un=a+(n-1)d

100=22+(n-1)(6)

so now we simplify to find n which is the row number.

100-22=22+(n-1)(6)-22

78=(n-1)(6)

78/6=(n-1)(6)/6

13=n-1

13+1=n-1+1

14=n

so now we know that in the 14th row there is 100 seats.

hope this and that you understood! its my first time using the app or anyone out on here : p its also me to revise so a bunch! ask more questions if you dont understand ☺