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) = $x(100\% -15\%)=x(1-\frac{0.15}{100} )=0.85x$

b) If x = discounted price and t(x) = total cost with sales tax, then:

t(x) = $x(100\% +6.5\%)=x(1+\frac{6.5}{100} )=1.065 x$

c) Let t(x) represents the total cost with sales tax

$t[p(x)] =p(x)+6.5\%\ of\ p(x) \\\\t[p(x)] = 0.85x+(0.065*0.85x)\\\\t[p(x)] =0.90525x\\\\for\ x=\$3000:\\\\t[p(3000)] = 0.90525*3000=\$2715.75$

8 0

2 years ago

The distance from Antville to Beetleton is 60 km.

serious [3.7K]

Answer:

i. Time = 2 hours.

ii. Average speed for the whole journey = 25 km/h

Step-by-step explanation:

Distance from Antville to Beetleton = 60 km

Mr. Caterpillar's speed = 30 km/h

Speed = $\frac{distance}{time}$

⇒ time = $\frac{distance}{speed}$

= $\frac{60}{30}$

= 2

time = 2 hours

It would take Mr. Caterpillar 2 hours to travel from Antville to Beetleton at that speed.

On his return journey, his average speed is 20 km/h. Therefore;

average speed for the whole journey = $\frac{30 + 20}{2}$

= $\frac{50}{2}$

= 25

average speed for the whole journey = 25 km/h

8 0

2 years ago

For making a scatter plot of the data set, which would be the best scale and interval for the axis that represents the amount of

Serga [27]

I'd say the answer to the first question is D) 0 to 4 with intervals of 0.2.

Because, you can't just have 1 to 4, as some of the numbers are less than 1. Of course you can't have 2 to 5 either. And intervals of 2 would be too messy.

For the second question:

I believe the answer is A. Because it's obvious that there IS one outlier, and it looks like there are two clusters.

So, the answers are: A) and D).

8 0

2 years ago

Which statement is true about the polynomial

Nataly_w [17]

Answer:

it has 3 terms and a degree of 5

Step-by-step explanation:

it is so eazy

5 0

3 years ago

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