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3 years ago

Example 6

Mathematics

1 answer:

lapo4ka [179]3 years ago

8 0

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

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

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

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Solve the systems by the addition method 2x + y = - 1x - 2y = - 4

inna [77]

Answer:

x = -6/5

y =7/5

Step-by-step explanation:

2x + y = - 1

x - 2y = - 4

Multiply the first equation by 2 so we can eliminate y

2(2x + y = - 1)

4x + 2y = -2

Add this to the second equation

4x + 2y = -2

x - 2y = - 4

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5x + 0y = -6

Divide by 5

5x/5 = -6/5

x = -6/5

Multiply the second equation by -2 so we can eliminate x

-2(x - 2y = - 4)

-2x+4y = 8

Add this to the first equation

2x + y = - 1

-2x+4y = 8

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0x + 5y = 7

Divide by 5

5y/5 = 7/5

y =7/5

6 0

3 years ago

Please help will give brainliest answer

IgorC [24]

Answer:

42.5 units^2

Step-by-step explanation:

We can split up this shape into smaller ones.

First we can start with the large rectangle on top

We know its 9 by 3.5

9x3.5=31.5

The large rectangle is 31.5, at the end we'll add them all together

Next we can work on the small triangle on the bottom left

Area= bh/2

Both the base and height are 2, 2x2=4 4/2=2, The area of that triangle is 2

Now we can work on the triangle on the bottom right. This time the base is 5

5x2=10 10/2=5, The area of that triangle is 5

Now we need to figure out the square/rectangle at the bottom. We only know one side is 2. We can figure out the top side. Since the very top of the shape is 9, we know that the bottom side of the large rectangle also has to add to 9. We know the values 2 and 5. 2+5+x=9, the missing length that's there is 2.

Now we know the small square is 2 by 2. 2x2=4 The square's area is 4

Now we add them all up.

31.5+2+5+4=42.5

8 0

3 years ago

I need only 16 and 17 please help

Nesterboy [21]

9514 1404 393

Answer:

16. a: (-90°, (4, 3)); b: (90°, (0, 3)); c: (-90°, (0, 0))

17. a: (down, (4, -1)); b: (right, (4, 3)); c: (up, (5, 2))

Step-by-step explanation:

We don't know what notation you're used to seeing for rotations. Here. we'll use the form [degrees CCW, (center)]. (CW angles are negative.) In any rotation, the center is the point that is invariant (remains in the same place)

16.

a) The tail is invariant, so the rotation is (-90°, (4, 3)).

b) The tip is invariant, so the rotation is (90°, (0, 3)).

c) The origin is invariant, so the rotation is (-90°, (0, 0))

17.

a) The tail is invariant, so the arrow is pointing down with the tip at (4, -1).

b) The center is invariant, so the arrow is reversed. It is pointing right with the tip at (4, 3).

c) Point (2, 3) is invariant, so the arrow is pointing up with the center at (5, 0). The tip is at (5, 2).

_____

<em>Additional comment</em>

If you have trouble visualizing these rotations, you might find it useful to trace the arrow on a piece of (semi-)transparent medium (plastic or tracing paper) so that you can move it as required to match the descriptions in the problem statement. A pin, or a dot on your tracing, can serve to fix the center of rotation. A little hands-on never hurts in math and geometry.

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3 years ago

If the test for a disease is accurate 82% of the time, how often will it come back negative if a patient has the disease?

aniked [119]

Would it just be 100 - 82 = 18, so D maybe?

4 0

3 years ago

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