Successive discounts of 20% and 10% are taken on an item priced at $16. Describe how to find the sale price of the item
and give the sale price.

Answers

Answer 1

Answer:

$11.52

Step-by-step explanation:

16 * .2 = 3.2

16 - 3.2 = 12.8

12.8 * .1 = 1.28

12.8 - 1.28 = $11.52

Take the given amount and take 20% off using the first 2 solutions, then take the "successive" discount of 10% using the second 2 solutions to get the final sale price


Related Questions

Given RT below, if S lies on RT such that the ratio of RS to ST is 3:1, find the coordinates of S.

Answers

Answer:

S(-2, -3)

Step-by-step explanation:

Find the diagram attached below,=. Frim the diagram, the coordinate of R and T are (-5, 3) and (-1, -5) respectively. If the ratio of RS to ST is 3:1, the coordinate of S can be gotten using the midpoint segment formula as shown;

S(X, Y) = {(ax1+bx2/a+b), (ay1+by1/a+b)} where;

x1 = -5, y1 = 3, x2 = -1, y2 = -5, a = 3 and b =1

Substitute the values into the formula;

X = ax2+bx1/a+b

X = 3(-1)+1(-5)/3+1

X = -3-5/4

X = -8/4

X = -2

Similarly;

Y = ay2+by1/a+b

Y = 3(-5)+1(3)/3+1

Y = -15+3/4

Y = -12/4

Y = -3

Hence the coordinate of the point (X, Y) is (-2, -3)

2x + y = 9
5x + 3y = 26

Answers

Answer:

7X+4y=35

Step-by-step explanation:

HELP HELP HELP First to HELP gets the brainliest :D

Answers

Answer:

 [tex]y= -\frac{1}{3}x -6[/tex]

Step-by-step explanation:

Using the slope formula, you can form this equation! The slope of any equation would replace the m, and the y intercept would replace b!

I added in the slope formula at the bottom, just in case, so you'll see what I mean!

I hope this helps, and I explained enough! Have a great day c:

The answer above is totally correct and they give perfect explanation!

Which equation represents table 1

Which equation represents table 2

Which equation represents table 3

Which equation represents table 4

Which equation represents table 5


Answers

Answer:

1 y=3x 2 y=38x 3 y=202x 4 y=2x 5 y=16x

Step-by-step explanation:

Answer:do yo use I’ll need help

Step-by-step explanation:

Mike made a 9-inch sub sandwich. He needs to cut it into 2/3 inch pieces. How many pieces will he be able to cut?

Answers

Divide total length by cut length:

9 / 2/3

= (9 x 3)/2 = 27/2 = 13.5

He can cut 13 pieces

If mike made a 9 inch sub divided into 3 he would be able to make 3 because 3x3 is 9 so if he wanted to cut into 2/3 of the sub he would have 6 inches of sun and three inches leftover.

Ade is baking mini-loaves of bread. How many mini-loaves could he make with 10 cups of flour?
12.5
15
25
50

Answers

Answer

10

Step-by-step explanation:

it takes 3/4 of a cup to make a mini loaves of bread and 3/4 is about one cup so 10

The number of mini-loaves that he could make with 10 cups of flour will be 25 cups.

From the complete information, it was stated that 1 cup of flour can be used to make 2.5 loaves.

Therefore, based on the information given, in order to calculate the number of mini-loaves that he could make with 10 cups of flour, we've to multiply the values. This will be:

= 2.5 × 10 = 25

In conclusion, the correct option is 25 cups.

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A) write an explicit formula for the sequence 12, 16, 20, 24 B) Find the 11th term of the sequence *

Answers

Answer:

[tex]T_n = 8+ 4n[/tex]

[tex]T_{11} = 52[/tex]

Step-by-step explanation:

Given

[tex]Sequence: 12, 16, 20, 24[/tex]

Solving (a): Write a formula

The above sequence shows an arithmetic progression

Hence:

The formula can be calculated using:

[tex]T_n = a + (n - 1) d[/tex]

In this case:

[tex]a = First\ Term = 12[/tex]

Difference (d) is difference of 2 successive terms

So:

[tex]d = 16 - 12 = 20 - 16 = 24 - 20[/tex]

[tex]d = 4[/tex]

Substitute 4 for d and 12 for a in [tex]T_n = a + (n - 1) d[/tex]

[tex]T_n = 12 + (n - 1) * 4[/tex]

Open Bracket

[tex]T_n = 12 + 4n - 4[/tex]

Collect Like Terms

[tex]T_n = 12 - 4+ 4n[/tex]

[tex]T_n = 8+ 4n[/tex]

Hence, the explicit formula is: [tex]T_n = 8+ 4n[/tex]

Solving (b): 11th term

This implies that n = 11

Substitute 11 for n in: [tex]T_n = 8+ 4n[/tex]

[tex]T_{11} = 8+ 4 * 11[/tex]

[tex]T_{11} = 8+ 44[/tex]

[tex]T_{11} = 52[/tex]

Answer:

A) The explicit formula for the sequence is [tex]f(n) = 12+4\cdot n[/tex], [tex]n \in \mathbb{N}_{O}[/tex].

B) The 11th term of the sequence is 62.

Step-by-step explanation:

A) Let [tex]f(0) = 12[/tex], we notice that sequence observes an arithmetic progression, in which there is a difference of 4 between two consecutive elements. The formula for arithmetic progression is:

[tex]f(n) = f(0) +r\cdot n[/tex] (1)

Where:

[tex]f(0)[/tex] - First value of the sequence, dimensionless.

[tex]r[/tex] - Arithmetic increase rate, dimensionless.

[tex]n[/tex] - Term of the value in the sequence, dimensionless.

If we know that [tex]f(0) = 12[/tex] and [tex]r = 4[/tex], then the explicit formula for the sequence is:

[tex]f(n) = 12+4\cdot n[/tex], [tex]n \in \mathbb{N}_{O}[/tex]

B) If we know that [tex]f(n) = 12+4\cdot n[/tex] and [tex]n = 10[/tex], the 11th term of the sequence is:

[tex]f(10) = 12+4\cdot (10)[/tex]

[tex]f(10) = 62[/tex]

The 11th term of the sequence is 62.

Given the measures a = 10, b = 40, and A = 30°, how many triangles can possibly be formed?

Answers

Answer:

no triangle can be formed with the given values (i.e 0 triangle).

Step-by-step explanation:

Given;

length of side a, = 10

length of side b, = 40

angle A, = 30°

Apply sine rule to determine the angle of the second side (B);

[tex]\frac{sin \ A}{a} = \frac{sin \ B}{b} \\\\\frac{sin \ 30^0}{10} = \frac{sin \ B}{40}\\\\sin \ B = 40(\frac{0.5}{10} )\\\\sin \ B = 2[/tex]

The maximum sine function is 1, there is no sine function that will be equal to 2, so there is no triangle that can be formed with the given values.

Answer:0

On edge

Step-by-step explanation:

y> 3x +3
1
yer - 2
트로

Answers

Answer:

Is this in a different language?

Step-by-step explanation:ok:)

A truck carries 45 crates of water. Each crate holds 24 bottles of water. How many bottles of water does the truck hold?

A. 1,008
B. 1,080
C. 1,808
D. 1,888

Answers

Answer:

answer is 1,080

Step-by-step explanation:

45×24=1,080

A random sample of 300 circuits generated 13 defectives. Use the data to test the hypothesis Upper H Subscript 0 Baseline colon p equals 0.05 against Use . Find the P-value for the test.

Answers

Complete Question

A random sample of 300 circuits generated 13 defectives. a. Use the data to test

                            [tex]H_o : p = 0.05[/tex]

Versus

 

                          [tex]H_1 : p \ne 0.05[/tex]

Use α = 0.05. Find the P-value for the test

   

Answer:

The  p-value is  [tex]p-value = 0.5949[/tex]        

Step-by-step explanation:

From the question we are told that

  The sample size is  n = 300

    The number of defective circuits is  k = 13

Generally the sample proportion of defective circuits is mathematically represented as

        [tex]\^ p = \frac{k}{n}[/tex]

=>     [tex]\^ p = \frac{13}{300}[/tex]

=>     [tex]\^ p = 0.0433[/tex]

Generally the standard Error is mathematically represented as

       [tex]SE = \sqrt{\frac{p(1- p)}{n} }[/tex]

=>     [tex]SE = \sqrt{\frac{0.05(1- 0.05)}{300} }[/tex]

=>     [tex]SE = 0.0126[/tex]

Generally the test statistics is mathematically represented as

       [tex]z = \frac{\^ p - p }{SE}[/tex]

=>     [tex]z = \frac{0.0433 - 0.05 }{0.0126}[/tex]

=>     [tex]z = -0.5317[/tex]

From the z table  the area under the normal curve to the left  corresponding to  -0.5317  is

         [tex](P < -0.5317 ) = 0.29747[/tex]

Generally the p-value is mathematically represented as

       [tex]p-value = 2 * P(Z < -0.5317 )[/tex]

=>     [tex]p-value = 2 * 0.29747[/tex]

=>     [tex]p-value = 0.5949[/tex]        

     

how to know if i have to subtract or add in a point slope form? for example the part where it says (x - 1) how would i know if its (x - 1) or (x + 1) ?????????????

Answers

9514 1404 393

Answer:

  rules of signs apply

Step-by-step explanation:

The point-slope form of the equation for a line of slope m through point (h, k) is ...

  y -k = m(x -h)

If the point coordinates are positive, their values show up in the equation with a minus sign.

Example:

  slope 2, point (3, 4)

  y -4 = 2(x -3)

__

If a point coordinate is negative, its value shows up in the equation with a plus sign.

Example:

  slope 2, point (-3, 4)

  y -4 = 2(x -(-3)) . . . . fill in the given value

  y -4 = 2(x +3) . . . . . simplify according to sign rules

__

The slope keeps its sign.

Example:

  slope -1/2, point (-3, 4)

  y -4 = -1/2(x +3) . . . . we only changed the slope from the previous example

Answer:

teehee

Step-by-step explanation:

:)

DO ASAP. PLS
Six men can pack 900 boxes in 4 days. At this rate, how many boxes can ten men pack in 6 days?

Answers

Answer:

1350

Step-by-step explanation:

900/4 = 225

225x6=1350

i think

hope this helped

The volume of a half-gallon carton of milk is 1.9 L. How many milliliters is this?

Answers

Answer:

1.9 litres is equvalent to 1900 mililitres

An investment that costs $5,000 will produce annual cash flows of $3,000 for 3 years. Using a required return of 8%, the investment will generate a NPV of $

Answers

Answer:

The investment will generate a NPV of $2,731.

Step-by-step explanation:

Cost of an investment (PV) = $5,000

Annual cash flows = $3,000

Period of investment = 3 years

Interest rate of return = 8%

Annuity Factor = 2.577 (for 3 years at 8% per year)

Present value of the annuity = $3,000 * 2.577 = $7,731

NPV = Annuity PV minus PV of investment cost

= $7,731 - $5,000

= $2,731

b) The NPV (net present value) of $2,731 is the difference between the present value of the annual cash flows $7,731 and the investment cost of $5,000.  The resulting NPV is positive and the investment should be accepted.

If Gage gets 40 bucks a month how much months would it take him to get 300 bucks.

Answers

Answer:

7 to 8 months / most probably 8 months

7.5 months to be exact

Step-by-step explanation:

Hi there!! Let's work!

So lets Break it down,

Given: $40 every month

Prove: How many months till he has in total $300

----------------------------------------------------------------------------------------------

We need to multiply the number of months to 40 to get 300

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

So lets refer to a multiplication chart to make it easier:

||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||

Here is an example of the equation we will use:

400 x (months) = $300 / (or how much ever we get)

```````````````````````````````````````````````````````````````````````````````````````````````````````````````````````

As you can see:

We have 2 final equations because we don't have a straight forward answer. (Refer to explanation below)

40 x 7 = 280

and

40 x 8 = 320

---------------------------------------------------------------------------------------------------------

So in problems like these we have to think like we would in real life, if you have an option you can write 7 to 8 months or you should write 8 instead of seven since they may be asking for a specific amount of months and after 8 months Gage will reach (surpass) his goal of $300 by $20.

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Make sure to also press the like button (Thanks button) if you really liked my answer / explanation

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If m<1 = 113°, What is m<4 ???

Answers

Angle 4 = 67° I hope this helps!

Answer:

67

Step-by-step explanation:

m<1 and m<3 are the same so subtract 113x2, or 226

subtract 360 from 226

m<2+m<4=134

divide by 2 coz m<2 and m<4 are the same as well

m<4= 67

What’s the angles relationship ?

Answers

Answer:

IF YOU ARE TALKING ABOUT ANGLES 1 AND 2

They add up to 180 degrees

if you want the measures of them, ANGLE 1 = 140 degrees    ANGLE 2 = 180-140=40 degrees

Step-by-step explanation:

They are Supplementary angles, which means they add up to 180 degrees

HOPE THIS HELPPPSSSSSSSSSSS

Co-interior angles

This means that angle 1 would be 140 degrees
Angle 2 would be 40 degrees

If these two shapes are similar, what is the measure of the missing length g?

Answers

So if the shapes are similar, they have to have a number multiple from to get the other triangle. If you divide 63 by 42, you get 1.5. Then you have to divide 54 by 1.5 to get G and that would be 36.

The cost for a company to produce a part for d days is represented by the function
f(d) = 325d +8,795.
What does the value 8,795 represent in this situation?
Options: each day,the total cost decreases by $8795 or each day the total cost increases by 8795 or the initial cost is 8795 or the total cost to produce a part for d days is 8795...plz help

Answers

Answer:

Hi,

The equation of a linear function has the following format:

[tex]y = mx + b[/tex]

Where  represents the value of   for when   is equal to zero.

Therefore, 8795 can be considered the initial value for production.

Step-by-step explanation:

The graph of a linear function is the same as the example below:

As noted in the figure, the value of [tex]b[/tex] provides the value of [tex]y[/tex] when [tex]x[/tex] is null. This is also called the linear coefficient of the line (or intercept)

The value of [tex]m[/tex]  represents the rate of change of the function and is linked to the slope of the line.

Any questions just ask in the comments.

Since the equation given is f(d) = 325d +8,795, the value that 8,795 represent in this situation is the initial cost.

The given equation in this case is f(d) = 325d +8,795, it should be noted that 8795 is the fixed cost. On the other hand, the expression 325d represents the variable cost.

325d means that the cost will increase each day by that amount. Therefore, the value that 8,795 represents in this situation is the initial cost.

Read related link on:

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I need help ASAP Due in a day marking brainliest!!!

Answers

Answer:

i ont hel.p.............................................. .

Step-by-step explanation:

Answer:

D) -3

Step-by-step explanation:

Imagine a horizontal line that intersects the graph at 3 points

Looking at the graph, the line is possible in the interval from y = -2.5 to y = -4

D) -3 is the only option in the same interval

Use the figure to find the measures of the
numbered angles.
1/2
a
107°
b

Answers

Answer:

∠1 = 107

∠2 = 73

Step-by-step explanation:

The difference between a number and 25

Answers

Answer:

x-25

Step-by-step explanation:

the number is x and the subtraction is the difference

What is indicated by a positive value for a correlation? a. A much stronger relationship than if the correlation were negative b. A much weaker relationship than if the correlation were negative c. Increases in X tend to be accompanied by decreases in Y d. Increases in X tend to be accompanied by increases in Y

Answers

Answer: Increases in X tend to be accompanied by increases in Y

Step-by-step explanation:

The option given that indicates a positive value for a correlation is that an increases in X tend to be accompanied by increases in Y.

When two variables are said to be positively correlated, it simply means that the variables move along the same direction. As one variable increase, the other variable too will slow increase and vice versa.

NEED HELP ASAP PLEASE HELP!!!

HELP PLEASE!!!!!!

Answers

Answer:

1. 230, 219, 208, 197, 186.

2. Arithmetic, you are subtracting a constant rate, instead of an exponential rate.

3. Finite, the question says the farmer only took 10 trips, infinite would be much, much much more trips.

Step-by-step explanation:

1. The pattern is to subtract 11, so you just do this for 3 more times.

2. Geometric sequences could look something like 230-11=219. The you multiply by a random number like 2, then you subtract 219- (11x2), 219-22=197. This sequence does not do that.

3. It says in the question the farmer only does it for 10 more times.

Line segment JL is an altitude in triangle JKM. Triangle K J M is shown. Angle K J M is a right angle. An altitude is drawn from point J to point L on side K M to form a right angle. The length of K J is 13, the length of J L is 5, and the length of J M is 8. Which statement explains whether JKM is a right triangle? Round measures to the nearest tenth. JKM is a right triangle because KM = 15.3. JKM is a right triangle because KM = 18.2. JKM is not a right triangle because KM ≠ 15.3. JKM is not a right triangle because KM ≠ 18.2.

Answers

Answer:

c

Step-by-step explanation:

,

Answer:

The Answer is C

Step-by-step explanation:

estimate the quotient


7÷1,611

estimated

Answers

Answer:

The answer is 230.14

Easy long division

Find the antiderivative of f (x) = 10x4 + 12.5.

Answers

Answer:

The anti-derivative of f(x) will be:

[tex]\int \:10x^4+12.5dx=2x^5+12.5x+C[/tex]

Step-by-step explanation:

Given the function

[tex]\:f\left(x\right)=10x^4\:+\:12.5[/tex]

Taking the anti-derivative of f(x)

[tex]\int \left(10x^4\:+\:12.5\right)\:dx\:[/tex]

[tex]\mathrm{Apply\:the\:Sum\:Rule}:\quad \int f\left(x\right)\pm g\left(x\right)dx=\int f\left(x\right)dx\pm \int g\left(x\right)dx[/tex]

[tex]\int \left(10x^4\:+\:12.5\right)\:dx\:=\int \:10x^4dx+\int \:12.5dx[/tex]

Solving

[tex]\int 10x^4dx[/tex]

[tex]\mathrm{Take\:the\:constant\:out}:\quad \int a\cdot f\left(x\right)dx=a\cdot \int f\left(x\right)dx[/tex]

[tex]=10\cdot \int \:x^4dx[/tex]

[tex]\mathrm{Apply\:the\:Power\:Rule}:\quad \int x^adx=\frac{x^{a+1}}{a+1},\:\quad \:a\ne -1[/tex]

[tex]=2x^5[/tex]

similarly,

[tex]\int 12.5dx[/tex]

[tex]\mathrm{Integral\:of\:a\:constant}:\quad \int adx=ax[/tex]

[tex]=12.5x[/tex]

so substituting these values

[tex]\int \left(10x^4\:+\:12.5\right)\:dx\:=\int \:10x^4dx+\int \:12.5dx[/tex]

                                [tex]=2x^5+12.5x[/tex]

                               [tex]=2x^5+12.5x+C[/tex]   ∵ Add constant to the solution

Therefore, the anti-derivative of f(x) will be:

[tex]\int \:10x^4+12.5dx=2x^5+12.5x+C[/tex]

x^2- 11 = 70 I need help on how to solve this

Answers

Answer: Add 11 to the other side of the equation, giving you 81. Then, since x is square you are going to need to square root both sides ([tex]\sqrt{x}[/tex] this symbol). When you do that, you should get what x is! Let me know if you still need help!

A sphere has a radius of 11 Inches. A horizontal plane passes through the center of the sphere.
Part 1 out of 2
Describe the cross section formed by the plane and the sphere.
It is a (square, circle, or oval) with a radius of in.

Answers

Answer:

part 1

circle, 11

part 2

decrease

Step-by-step explanation:

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