Laura bought some books. She spent a total of $71 after a discount of $5 off of her total purchase. Each book cost $4. How many books did she buy?

Answer:

Step-by-step explanation:

Let retail be $100

At 20% discount

(100-20)% * 100

0.8*100

$80

At 30% discount

(100-30)%* 80

$56

Using the percentage relationship between cost, the book was purchased at 56% of the retail price.

Let :

Retail price = r

Discount price = 0.8r

Special sale price :

(1 - 0.30) × 0.8r

0.70 × 0.80r = 0.56r

Hence, the book was purchased at 56% of the retail price.

Learn more : https://brainly.com/question/25581049

Answer:

A = $19,908.59

Step-by-step explanation:

Compound Interest

Compound interest occurs when the interest earned in a given period is reinvested rather than paying it out. The interest in the next period is then earned on the principal sum plus previously accumulated interest.

The formula is:

[tex]{\displaystyle A=P\left(1+{\frac {r}{k}}\right)^{kt}}[/tex]

Where:

A = final amount

P = initial principal balance

r = interest rate

k = number of times interest applied per time period

t = number of time periods elapsed

We are given the following data:

P = $12,000

r = 7.5% = 7.5/100 = 0.075

t = 7

k = 1 since there is only on compounding per year.

Applying the formula:

[tex]{\displaystyle A=\$12,000\left(1+{\frac {0.075}{1}}\right)^{7}}[/tex]

[tex]{\displaystyle A=\$12,000\left(1.075\right)^{7}}[/tex]

A = $19,908.59

Note: your answer options suggest as if your actual question was

y = -4x - 9 instead of y = -x-9

But, anyways I am solving with respect to both equations

Answer:

Please check the explanation.

Step-by-step explanation:

IN CASE YOUR EQUATION ⇒ y = -x - 9

The slope-intercept form of the line equation

y = mx+b

where m is the slope and b is the y-intercept

Given the line

[tex]y = -x-9[/tex]

comparing with the slope-intercept form (y = mx+b) of the line

We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:

slope = m = -1

perpendicular slope = – 1/m = -1/-1 = 1

Thus the slope of this  perpendicular line will be:  1

IN CASE YOUR EQUATION ⇒ y = -4x - 9

Given the line

[tex]y = -4x - 9[/tex]

comparing with the slope-intercept form (y = mx+b) of the line

We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:

slope = m = -4

perpendicular slope = – 1/4 = -1/-4 = 4

Thus the slope of this  perpendicular line will be: 4

Answer:

the transformed function will be: [tex]\mathbf{g(x)=-\sqrt{\frac{1}{3} x}+2}[/tex]

Step-by-step explanation:

We need to transform [tex]f(x)=\sqrt{x}[/tex] into g(x) using following translations

1) reflection in the x-axis

The reflection across x-axis will be:

[tex]g(x)=-\sqrt{x}[/tex]

2) Horizontal shrink by a factor of 1/3

The horizontal shrink by a factor of 1/3 will make the function g(x)

[tex]g(x)=-\sqrt{\frac{1}{3} x}[/tex]

3) Vertical translation up 2 units

The vertical translation up 2 units will make the function g(x)

[tex]g(x)=-\sqrt{\frac{1}{3} x}+2[/tex]

So, the transformed function will be: [tex]\mathbf{g(x)=-\sqrt{\frac{1}{3} x}+2}[/tex]

Answer: the maximum is at (3,4)

Step-by-step explanation:

Answer:

Step-by-step explanation:

2x-10=4x

-10=4x-2x

-10=2x

-10÷2=x

-5=x

Answer:

1 0 3 − 3 ^2 − 4

Step-by-step explanation:

Answer:

I think it might be 23+92−5

Step-by-step explanation:Im not tottally sure

Answer:

The question is not complete, therefore I cannot answer this.. :(

Step-by-step explanation:

if anything try dividing these numbers

This is another way of saying "the graph of g(x) is 4 times taller compared to f(x)".

Recall that anything of the form g(x) = k*f(x) will basically stretch f(x) vertically by a factor of k, where k is any real number. This is because y = f(x) and k*f(x) will move the y coordinate k times further away. For 4*f(x), the y coordinate is moved 4 times further away. Do this for every point, and you'll have the vertical stretch mentioned earlier.

Answer:

What do you need help with?

Step-by-step explanation:

Answer:

a= 20

b= 169.7

c= 29.71

Step-by-step explanation:

The formula of a triangle is (h*b)/2

a= (5*8)/2

b= to find the height, you can use the pythagorean theorem 18^2 - 6^2 = square root of 288. Which is 12root 2 or 16.97. (16.97*20)/2

c= using the pythagorean theorem- 11^2 = 7^2 - c^2 = square root 73, or 6root 2, or 8.49. (8.49* 7)/2

Answer:

No

Step-by-step explanation:

I dont think rational numbers can be negative. Also the values are not repeating.

Answer:

n = A/P - 1

Step-by-step explanation:

1st step: subtract P from each side to get A/P = 1+n

2nd step: subtract 1 from each side to get the answer above

Answer:

Supplementary Angles: if both angles are added = 180 °

Complementary Angles: if both angles are added = 90°

Step-by-step explanation:

Answer:

m<6 = 20*, m<4 = 160*

Step-by-step explanation:

2.m<6+m<4=180*

3. m<6+m<4=180*

4. m<6+8 x m<20

5.m<6 = 20*, m<4 = 160*

Answer:

Step-by-step explanation:

i do believe you didn't write the whole problem

if m=-3

9-m=9-(-3)=9+3=12

Answer: the graph is incorrect

Step-by-step explanation:

The graph should be headed towards the left (the negative x side) because x is negative

Answer:

The graph is not correct, because it is a positive graph. It answers the equation y= x, and Franco said it was y= -x. His line would be negative, and this graph is positive.

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

180-167= 13

× = 13 degrees

Please note that your equation sounds a little unclear. But, I am assuming that your equations in two ways and solving both equations.

[tex]4x+5y^3=-7[/tex]

[tex]4x+5y=-37[/tex]

so, I will solve both of them.

Answer:

Please check the explanation.

Step-by-step explanation:

1)

Assuming the equation

[tex]4x+5y^3=-7[/tex]

substituting x = -4 and y = 2

[tex]4\left(-4\right)+5\left(2\right)^3=-7[/tex]

[tex]-16+2^3\cdot \:\:5=-7[/tex]

[tex]-16+40=-7[/tex]

[tex]24=-7[/tex]

False!

The sides are not equal!

Since (-4, 2) does not satisfy the equation, therefore (-4, 2) is not a solution of [tex]4x+5y^3=-7[/tex].

2)

[tex]4x+5y=-37[/tex]

Assuming the equation

[tex]4x+5y=-37[/tex]

substituting x = -4 and y = 2

[tex]4\left(-4\right)+5\left(2\right)=-37[/tex]

[tex]-16 + 10 = -37[/tex]

[tex]-6=-37[/tex]

False!

The sides are not equal!

Since (-4, 2) does not satisfy the equation, therefore (-4, 2) is not a solution of [tex]4x+5y=-37[/tex].

Answer:

option A is the answer

Step-by-step explanation:

............

Answer: B. From time 6 to 10, he was at his slowest.

Step-by-step explanation: I just took the same quiz so HURRY!!!

Answer:

b

Step-by-step explanation:

Answer:

Solar

Step-by-step explanation:

It would be Solar because the energy from the sun is called solar energy. Also, solar panels pick up the sun's energy, and harvests it.

Answer:

The first one

Step-by-step explanation:

Answer:

y=1/4x-3/4

Step-by-step explanation:

because it's been put into a slope form already sksk so it basically wanted in simplified in a sense then cross turn the 3 and turn it into a fractions and reform the problem

Answer:

65 reaminder  85  

Step-by-step explanation:

u divided it and theres a big remainder so i did the two first reinders i found

Answer:

when your at a red light and it turns green

Answer:

ok

Step-by-step explanation:

Answer:

2[tex]\frac{1}{3}[/tex]x5=11[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

5x2=10

[tex]\frac{1}{3}[/tex]x5=[tex]\frac{5}{3}[/tex]

[tex]\frac{5}{3}[/tex]=1[tex]\frac{2}{3}[/tex]

10+1[tex]\frac{2}{3}[/tex]=11[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

4x/6=7x+5/3

<=> 4x.3=(7x+5).6

<=> 12x=42x+30

<=> -30x=30

<=>x=-1

Answer:

the answer is 36+14/25=36.56

Answer:

y = -2x + 5

Step-by-step explanation:

To find the slope, you need to pick two points and put into the slope formula.  It doesn't matter which ones, you will get the right answer regardless.  I used (-3, 11) and (2, 1).

[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} } \\m=\frac{11 -1 }{-3 -2 } \\m=\frac{10 }{-5 } \\m=-2[/tex]

Now that you have the slope, you can plug it into point-slope form to find the equation in slope-intercept form.  You will also need to plug one of the given points.  Again, it doesn't matter which one.

[tex]y-y_{1}=m(x-x_{1} )\\y-1=-2(x-2)\\y-1=-2x+4\\y=-2x+5[/tex]

Answer:

Thus at this rate, Mike would be able to finish reading the 219 novel in 10 days. Mike is right.

Step-by-step explanation:

Total number of pages of the novel = 219.

1st night, he reads 10 pages.

2nd night, he reads 13 pages.

3rd night, he reads 16 pages.

4th night he reads 19 pages.

5th night, he reads 22 pages.

6th night, he reads 25 pages.

7th night, he reads 28 pages.

8th night, he reads 31 pages.

9th night, he reads 34 pages.

10th night, he reads 37 pages.

Total number of pages read after 10 nights = 235

Thus at this rate, Mike would be able to finish reading the 219 novel in 10 days. Mike is right.