The i-phone 7 Plus 32G costs $769. Amazon has a sale for 15% off. What's the sale price?

Answer: The answer is provided below

Step-by-step explanation:

A price markdown is a reduction that is deliberate when selling a product. From the question, we are informed that a video game that usually costs $30.65 is marked down 60%.

The find the new price of the video game, we have to subtract the amount reduced from the original price. The amount reduced is:

= 60% of $30.65

= 60/100 × $30.65

= 0.6 × $30.65

= $18.39

The new selling price = $30.65 - $18.39

= $12.26

The error that Kelvin made when he determined that the new price of the game would be $18.39 was that he didn't subtract the value from the original price of the video game.

The required number corn plants are on the farm are 21.

metre stick counting techniques. Count the seedlings for each metre of the row using a metre stick. To calculate plants per square metre, multiply that amount by 100, then divide it by the seed spacing in centimeters.

Let the number of rows be x.

the number of corn plants = x - 4

So,

x(x - 4) = 525

x^2 - 4x - 525 = 0

On solving the above quadratic equation, we get

x = 25, x = -21

Thus, number of corn plants in the row are 52 - 4 = 21

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The interest after four months is $872.6, the amount owed is $19572.6 and the exponential function is y = (1/5) * 5ˣ.

a. The interest after 4 months is $872.6

b. The amount owed is $19572.6

2. The exponential function is y = (1/5) * 5ˣ.

1) To calculate the interest and amount owed after 4 months for the loan, we can use the formula for simple interest:

(a) Interest after 4 months:

  Interest = Principal * Rate * Time

  Principal = $18,700

  Rate = 14% per annum = 0.14

  Time = 4 months = 4/12 years

  Interest = $18,700 * 0.14 * (4/12) = $872.6

b. The amount owed after 4 months assuming they don't make any payments.

amount owed = principal + interest

amount owed = 18700 + 872.6

amount owed = $19572.6

2)Using the ordered pairs given, we can find the exponential function here;

y = abˣ

Let's use the point (0, 1/5) as a reference to find the value of b:

When x = 0, y = 1/5

1/5 = ab⁰

1/5 = a * 1

a = 1/5

Now, substitute the value of a into the equation to find b using another point, such as (1, 1):

When x = 1, y = 1

1 = (1/5) * b¹

1 = b/5

b = 5

Therefore, the equation for the exponential function is y = (1/5) * 5ˣ.

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Answer:

The 6.5​-ounce cans offer the largest size at a fair cost and is the best to buy.

Step-by-step explanation:

Size of the 4.5​-ounce cans of tuna in package = 4.5 × 3 = 13.5 ounce

Cost of the package= ​$4.32

Size of the 3.5​-ounce cans = 3.5 × 4 = 14 ounce

Cost of the package= ​$3.92

Size of the 6.5​-ounce cans = 6.5 × 5 = 32.5 ounce

Cost of the package= ​$9.75

The 6.5​-ounce cans offer the largest size and is the best to buy.

a) To maximize its net savings, the company should use the new machine for 7 years.  b) The net savings during the first year of use of the machine are $405 (rounded off to the nearest dollar).  c) The net savings over the period determined in part a are $1,833.33 (rounded off to the nearest cent).

Step-by-step explanation: a) To determine for how many years should the company use the new machine to maximize its net savings, we need to find the value of x that maximizes the difference between the savings and the costs.To do this, we need to first calculate the net savings, N(x), which is given by:S'(x) - C'(x) = 175 - x² - (x² + 11x) = -2x² - 11x + 175To find the maximum value of N(x), we need to find the critical values, which are the values of x that make N'(x) = 0:N'(x) = -4x - 11 = 0 ⇒ x = -11/4The critical value x = -11/4 is not a valid solution because x represents the number of years of operation of the machine, which cannot be negative. (i.e., not use it at all).However, this answer does not make sense because the company would not introduce a new machine that it does not intend to use. Therefore, we need to examine the concavity of N(x) to see if there is a local maximum in the feasible interval.

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Answer:

736x-89

Step-by-step explanation:

i think all you can do here is add the numbers that have an X in them so adding 689x+47x=736x and you leave the 89 so it becomes 736x-89

Answer:

736x-89

Step-by-step explanation:

first add the like terms (numbers with the same variables)

so now the equation is 736x-89

The bracket should be placed 40 inches away from the vertex (0,0) looking at the equation y=1/160x^2 models a solar cooker.

The equation with a vertex is : y = ax²

We know that the focus of a parabola is normally at the point (h, k + p), where (h, k) is the vertex of the  parabola  and 'p' is the distance between the vertex and the focus.  

Since the vertex at the origin is  (0,0), the parabolic equation then becomes;

y = (1/4p)x²

1/4p = 1/160

4p = 160

p = 160 ÷ 4

p = 40

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Step-by-step explanation:

B=tan⁻¹(9÷22)

B=22.2

C=180-(97+22.2)

C= 180- 119.2

C= 60.8

The heavy marble using a two-pan balance, the minimum number of weighings required is two.

Here's how you can do it:

Divide the eight marbles into two groups of four.

Weigh the two groups against each other.

If the two groups weigh the same, the heavy marble is one of the remaining four marbles. Proceed to step 3.

If one group weighs more, the heavy marble is in that group. Proceed to step 3.

Divide the four marbles from the heavier group into two groups of two.

Weigh the two groups of two against each other.

If the two groups weigh the same, the heavy marble is one of the remaining two marbles. Proceed to step 5.

If one group weighs more, the heavy marble is in that group. Proceed to step 5.

Weigh the remaining two marbles against each other.

The heavier marble is the heavy marble.

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The slope of the straight line paths the knight can travel is 1.

Slope is the ratio of the rise, the vertical change, to the run, the    horizontal change of a line.

To calculate the slope of the straight paths, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

hence, the slope of the straight line part is 1.

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The net pay amount for January would be $86,761.

Given the following information: Gross earnings in Vaughn Company were $114,000. All earnings are subject to 7.65% FICA taxes. Federal income tax withheld was $16,500, and state income tax withheld was $2,000.To calculate the net pay for January, first, we have to calculate the deductions:Gross earnings are:$114,000The FICA taxes for the earnings will be:7.65% of $114,000 = 0.0765 × $114,000 = $8,739State income tax withheld was $2,000Federal income tax withheld was $16,500Deductions are: 8,739 + 2,000 + 16,500 = $27,239The net pay amount for January would be:$114,000 - $27,239 = $86,761Answer: $86,761.

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Answer:

1) 12

2) 15

3) 5

4) 6?

5) 25

6)  22

7) 13

8) 7/3 ?

9) 44

10) 5

11) 8

12) 3 4/19 ?

Step-by-step explanation:

I don't quite understand questions 4,8 and 12.

Answer:it would be 3 1/4 pounds of blueberries

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

Answer:

72, 96

Step-by-step explanation:

The LCM of 4, 8 and 12 is 24

because

24 is the smallest number divisible by 4, 8 and 12

Therefore multiples of 24 will be divisible by all three and therefore multiples of 24 are also multiples of 4, 8 and 12

Let's list the multiples of 24

24 x 1 = 24

24 x 2 = 48

24 x 3 = 72

24  x 4 = 96

24 x 5 = 120

The numbers 72 and 96 lie between the desired limits of 67 and 113

Answer:

Step-by-step explanation:

If it's a parallelogram, the diagonals chop each other in half.  Which means the two parts of the long diagonal equal each other and the two parts of the short diagonal also equal each other.  Since you have two veriables and two equations, then it's a system and you have to solve the system of equations like we learned in Algebra 1

So the value of the line integral given point scale is \(\frac{15}{16}\) -4cos6-6 .

To evaluate the line integral X signed by ideas oversee. Where C is the line segment from 2 to 36

First we find the vector determined by the two points

So ,

36 -2 = 34

Starting point is 2.

The segment can be para militarized as vitally equal to 2+3T+40 =3T 2+40 .

They belonging to close interval 0- one. Next we find the derivative of the Para militarism action y¹T= 34.

This implies the strength of y¹T = \(\sqrt{3^{2}+4^{2} }\)

= 5

Finally we calculate the integral X signed by ideas oversee which is equal to treaty sign 2+ 40×DT Over 0- one.

Now report 2+ 40 equal to you. So implies 4DT is equal to DU and when T is equal to zero.

20=U

So next this integral becomes 15×2 to 6 Juju -2 x 4.

Comes out to be 15 x 16. 0-2. Sign your deal. Now applying integration by parts.

We have 15 x 16. 0-2 cause you plus integration of causal deal Limit 2- 6.

Now we have 15/16. On applying the limits -4 cos six plus sign 6- sign too.

So therefore final answer becomes \(\frac{15}{16}\) -4cos6-6 .

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Answer:

If you are looking for the least and the most, the answer for the least would be 3:4 and for the most 11:12

Step-by-step explanation:

The given triangle ABC and DEF are similar

From the properties of the similar triangle :

The ratio of the corresponding sides of similar traingle are equal and the ratio of perimeter is also equal to the ratio of corresponding sides

In the triangle ABC, AC=9, BC=6, and the angle B is 90 degree

then apply pythagoras to find the third side of triangle:

Pythagoras Theorem: The square of sum of base and perpendicular is equal to the square of Hypotenuse.

Perimeter of Triangle is express as the sum of the length of all the sides of traingle

The scale Factor :

Since the ratio of perimeter of triangle ABC and DEF are same as the ratio of thier corresponding sides

So,

So, Perimeter of triangle DEF = 38.69 unit

99% Confidence Interval for the Population Percentage of Defective Disks = (0.1004, 0.1196).

Rules for Decimals. Align up the decimal points. To ensure that every one of the values have the same number of places following the decimal, add 0s. Add the same way you would with complete numbers.

Step 1:

Sample Size: n=7002

Number of non-defective disks =6232

Number of defective disks: x = 7002-6232=770

Sample proportion \(\widehat{p}\) = x/n = 770/ 7002 = 0.110

Estimated proportion of disks which are defective: Sample proportion: \(\widehat{p}\) = 0.110

Step 2:

Range of confidence for the population proportion:

\(=\widehat{p}\pm z_{\alpha /2}\sqrt{(\widehat{p}(1-\widehat{p}))/n}\)

\(\alpha = (100-99)/100 = 0.01; \alpha/2 = 0.005\)

99% Confidence interval =

\(=\widehat{p}\pm z_{0.005}\sqrt{(\widehat{p}(1-\widehat{p}))/n}\)

from standard normal tables z0.005 = 2.58

99% Confidence Level for the Population Percentage of Defective Disks =

\(=\widehat{p}\pm z_{0.005}\sqrt{(\widehat{p}(1-\widehat{p}))/n}\)

\(=0.11\pm 2.58\sqrt{(0.11(1-0.11))/7002}\)

\(=0.11\pm 2.58\sqrt{(0.110\times 0.89)/7002}=0.11\pm 2.58\sqrt{\frac{0.0979}{7002}}\)

\(=0.11\pm 2.58\times 0.0037 = 0.11\pm 0.0096 =(0.1004, 0.1196)\)

99% Confidence interval for population proportion of disks which are defective= (0.1004, 0.1196).

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The cardioid is recognized as a particular instance of an epicycloid and is formed by (x2 + y2 + an x)2 = a2(x2 + y2).

A two-dimensional plane figure called a cardioid features a heart-shaped curvature. The Greek word "cardioid," which meaning "heart," is the source of the word "cardioid." Thus, it is referred to as a heart-shaped curve.

The polar pattern of a cardioid microphone gives it its name. It is classified as a directional microphone since only noises from the front and sides may be picked up by it, and the direction has an impact on the sound image that is recorded.

here the explanation:-

The equation for the heart is (x2 + (9/4)*(y2 + z2 -1)3 - (x2*(z3) -(9/200)*(y2*(z3)).

The cardioid is recognized as a particular instance of an epicycloid and is formed by (x2 + y2 + an x)2 = a2(x2 + y2).

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The timeline that represents when the constitution of unites states was written and ratified is 1787 and 1788

What is a timeline?

A timeline is a visual representation of a sequence of events in time. It usually takes the form of a graphic with a long bar with dates paralleling it, usually indicating current occurrences.

We are given a timeline and we have to represent the tine when united states constitution was written and ratified

Now the constitution of united states was written in 1787.

And was ratified in 1788

Now we have to represent this point on the timeline

To do that we use graph

we get,

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Answer:

Slope = -2

Step-by-step explanation:

(9, 3), (19, -17)

(x₁, y₁)  (x₂, y₂)

        y₂ - y₁         -17 - 3        -20

m = ------------ = ------------ = -------- = -2

        x₂ - x₁         19 - 9         10

y - y₁ = m(x - x₁)

y - 3 = -2(x - 9)

y - 3 = -2x + 18

  +3            +3

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

y = -2x + 21

I hope this helps!

Answer:

\(\displaystyle s(t)=\frac{3}{4}t^3+10t^3+5t+3\)

Step-by-step explanation:

Integrate v(t) with respect to time

\(\displaystyle \int(3t^3+30t^2+5)\,dt\\\\=\frac{3}{4}t^4+10t^3+5t+C\)

Plug-in initial condition to get C

\(\displaystyle s(0)=\frac{3}{4}(0)^3+10(0)^3+5(0)+C\\\\3=C\)

Thus, the position function is \(\displaystyle s(t)=\frac{3}{4}t^3+10t^3+5t+3\) given the velocity function and initial condition.

Sanyo  option (b) would be chosen using the elimination-by-aspects decision rule.

In the elimination-by-aspects decision rule, you compare the options based on specific aspects and eliminate those that do not meet a certain cutoff point for each aspect.

Here's how the comparison unfolds based on the given information:

1. Performance: The cutoff point is ranked 1. Sanyo and Sony meet the cutoff, but Pioneer does not.

  Eliminated: Pioneer

2. Price: The cutoff point is ranked 4. Sanyo and Pioneer meet the cutoff, but Sony does not.

  Eliminated: Sony

3. Quality: The cutoff point is ranked 4. All three options (Sanyo, Sony, Pioneer) meet the cutoff.

4. Style: The cutoff point is ranked 3. Sanyo meets the cutoff, but Sony and Pioneer do not.

  Eliminated: Sony and Pioneer

Based on the elimination process, the remaining option is Sanyo. Therefore, (b) Sanyo would be chosen using the elimination-by-aspects decision rule.

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Answer:

y = -0.6x +3

Step-by-step explanation:

equation of the line through point (3, 1.2) and y-interecept of 3

y= mx+b

m is the slope and b is thhe y-intercept

y = mx + 3

between points (3, 1.2) and (0,3) the slope is

m= (y2-y1)/ (x2-x1) = (1.2-3) / (3-0) = -1.8/3 = -0.6

y = -0.6x +3

Answer:

The answer for f(2) is 11. The answer for f(x+4) is f = 3x^2 - 4x + 7 / x + 4

Step-by-step explanation:

Answer:

nicki monaj is the queen of rap

Step-by-step explanation:

periodt purr