Answer:
The answer is below
Step-by-step explanation:
1. COST Mr. Rivera wants to purchase a riding lawn mower, which is on sale for 15% off the marked price. The store charges sales tax 6.5% on all sales. Write a function p(x) that represents the price after a 15% discount. Write a function t(x) that represents the total cost with sales tax. Write a composition of functions that represents the total cost of a riding lawn mower on sale. How much will Mr. Rivera pay for a riding lawn mower that has a marked price of $3000?
Solution:
a) Let x represent the marked price and p(x) represent the price after discount. Since a discount of 15% is given, the price would be:
p(x) = 
b) If x = discounted price and t(x) = total cost with sales tax, then:
t(x) = 
c) Let t(x) represents the total cost with sales tax
![t[p(x)] =p(x)+6.5\%\ of\ p(x) \\\\t[p(x)] = 0.85x+(0.065*0.85x)\\\\t[p(x)] =0.90525x\\\\for\ x=\$3000:\\\\t[p(3000)] = 0.90525*3000=\$2715.75](https://tex.z-dn.net/?f=t%5Bp%28x%29%5D%20%3Dp%28x%29%2B6.5%5C%25%5C%20of%5C%20p%28x%29%20%5C%5C%5C%5Ct%5Bp%28x%29%5D%20%3D%200.85x%2B%280.065%2A0.85x%29%5C%5C%5C%5Ct%5Bp%28x%29%5D%20%3D0.90525x%5C%5C%5C%5Cfor%5C%20x%3D%5C%243000%3A%5C%5C%5C%5Ct%5Bp%283000%29%5D%20%3D%200.90525%2A3000%3D%5C%242715.75)
Answer:
y = 29.2x + 24363
Step-by-step explanation:
X = number of years after 1984 ;
X:
0
3
10
17
22
Y:
25000
25077
22257
25437
25565
Using the online linear regression calculator, the line of best fit obtained after preparing the model parameters is ŷ = 29.2075X + 24363.44197
Approximately;
y = 29.2x + 24363
With :
y being the population value
x = number of years after 1984
Slope = 29.2
Intercept = 24363
USE G O O G L E you will get your answer quicker than a jiffy on a stick:)
Answer:
-3 5/12=k
Step-by-step explanation:
K+5/3= -7/4
subtract 5/3 from both sides
K= -7/4-5/3
lcm of 4 and 3 is 12
so
K= -21/12-20/12
K= -41/12
K= -3 5/12
First step when finding the mean is to add all the values together
7 + -9 + 6 + -10 + -13 + -5
To make this easier, first add all the positive numbers 7 + 6 = 13
Then add (basically take away) the minus values one by one
13 - 9 = 4
4 - 10 = -6
-6 - 13 = -19
-19 - 5 = -24
Next step is to divide this total by the number of values there were
In this case, there were 6 values
-24 / 6 = -4
D. -4
