A coat discount 40% off it's regular price. Which value is equivalent to 40%

Interest is a fee charged by a lender to a borrower for the use of money or credit, usually expressed as a percentage of the amount borrowed or invested over a period of time. Brandon invested $\(4700\) at 3% interest and $\(1100\) at \(8\)% interest.  The total interest earned after one year is $229

How much was in each account?

Let x be the amount invested in the first account that pays 3% interest, and let y be the amount invested in the second account that pays 8% interest. Since the total amount invested is $5800, we have:

\(x + y = 5800\)

The amount of interest earned on the first account is 0.03x, and the amount of interest earned on the second account is 0.08y. Since the total interest earned after one year is $229, we have:

\(0.03x + 0.08y = 229\)

We now have two equations with two unknowns:

\(x + y = 5800\)

\(0.03x + 0.08y = 229\)

We can solve for x and y by using elimination or substitution method. Here, we will use the substitution method.

Solve the first equation for x:

\(x = 5800 - y\)

Substitute this expression for x into the second equation and solve for y:

\(0.03(5800 - y) + 0.08y = 229\)

\(174 - 0.03y + 0.08y = 229\)

\(0.05y = 55\)

\(y = 1100\)

Now substitute this value of y into either equation to solve for x:

\(x + 1100 = 5800\)

\(x = 4700\)

Therefore, Brandon invested $\(4700\) at 3% interest and $\(1100\) at \(8\)% interest.

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Answer:

\((\frac{1}{2}+\frac{\sqrt{3}}{2}i)^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)

Step-by-step explanation:

Convert 1/2 + i√3/2 to rectangular form

\(\displaystyle z=a+bi=\frac{1}{2}+\frac{\sqrt{3}}{2}i\\\\r=\sqrt{a^2+b^2}=\sqrt{\biggr(\frac{1}{2}\biggr)^2+\biggr(\frac{\sqrt{3}}{2}\biggr)^2}=\sqrt{\frac{1}{4}+\frac{3}{4}}=\sqrt{1}=1\\\\\theta=\tan^{-1}\biggr(\frac{b}{a}\biggr)=\tan^{-1}\biggr(\frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}}\biggr)=\tan^{-1}(\sqrt{3})=\frac{\pi}{3}\\\\z=\cos\frac{\pi}{3}+i\sin\frac{\pi}{3}\)

Use DeMoivre's Theorem

\(\displaystyle z^n=r^n(\cos(n\theta)+i\sin(n\theta))\\\\z^5=1^5\biggr(\cos\biggr(\frac{5\pi}{3}\biggr)+i\sin\biggr(\frac{5\pi}{3}\biggr)\biggr)\\\\z^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)

Answer:

y ≥ 0

y < 45529

0 < y ≤ 45529

Answer:The answer is D

Step-by-step explanation:

Answer: $1856

Step-by-step explanation: 88 x 58 = 5104. 5104/2.75= 1856

Answer:

i think question is not clear

Step-by-step explanation:

a = k/m    or       ma = k    

using 4 and 9     4* 9 = k = 36

then the equation becomes:

    ma = 36    

  using a = 6

      6 * m = 36     shows m = 6 kg

Width = 4x + 7

The perimeter of the rectangle shown = 16x + 6

The width of the rectangle = 4x - 4

Perimeter of a rectangle = 2(Length + Width )

16x + 6 = 2[ (4x - 4) x Width]

(16x + 6)/2 = (4x - 4) x width

8x + 3 = (4x - 4) x width

Width = 8x + 3 - (4x - 4)

Width = 8x - 4x + 3 + 4

Width = 4x + 7

The area in square feet is 180.

Given:

There is a rectangular floor is 5 yd long and 4 yd wide.

Required:

Jessica wants to tile the floor with tile sold by the square foot

Now, According to the question:

First of all we need to convert the given data in foot from yd.

We know that:

1 yd = 3feet

4 yd = 12 feet

5 yd = 15 feet

Now find the area of rectangular floor

Length of the floor = 5 yd = 15 feet

Breadth of the floor = 4 yd = 12 feet

Area = l x b

Area of the rectangular floor is :

15 x 12 = 180 feet sq.

Hence, The area in square feet is 180.

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An order-preserving function is a function that preserves the order of its inputs. In other words, if x is less than y, then f(x) will be less than f(y).

The statement "f is order-preserving if x < y implies f(x) < f(y)" means that if x is less than y, then f(x) must be less than f(y). This is a necessary condition for a function to be order-preserving. However, it is not a sufficient condition. For example, the function f(x) = x^2 is not order-preserving, because 2 < 3, but f(2) = 4 > f(3) = 9.

In summary, order-preserving functions are useful in situations where we need to preserve the order of a set of data.

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Collin's gross salary, after the 7% raise, for each 2-week pay period, will be approximately $1,159.17.

To calculate Collin's gross salary after the 7% raise for each 2-week pay period, we need to find the raise amount and add it to his current gross salary.

Collin's current gross salary is $1,083.34.

To find the raise amount, we multiply his current gross salary by 7% (or 0.07):

Raise amount = $1,083.34 \(\times\) 0.07

= $75.8338 (rounded to two decimal places)

Now, we add the raise amount to his current gross salary to find the new gross salary:

New gross salary = $1,083.34 + $75.8338 = $1,159.1738 (rounded to two decimal places)

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Answer:

4 2/3 mph

Step-by-step explanation:

A boat travels 15 miles upstream and 19 miles downstream.

If the boat travels 8 mph in still water, find the speed of the current if the total trip takes 6 hours.

Let c = the speed of the current

then

(8+c) = effective speed downstream

and

(8-c) = effective speed upstream

Write a time equation: time = dist/speed

Upstream time + downstream time = 6 hrs

\(\frac{15}{8-c} +\frac{19}{8+c}=6\)

120+15c+152-19c=384-6c²

6c²-4c-112=0

c=4 2/3

Answer:

P (6, 3) – p (6, 4) – p (6, 2) = 270

Step-by-step explanation:

The 150 student council consist of 6 members.

Included at least one in-state student and at least one senior.

There are total 6 members: in which,

1 in- state senior,

2 in state non-senior,

1 out of state senior and

2 out of state non-senior.

Total member are 6 and we selected 3. So p (6, 3)

The way team will have only non-senior = p (6, 4)

The way team will have out of state = p (6, 2)

Subtracting the total we get:

P (6, 3) – p (6, 4) – p (6, 2) = 6x5x4 – 6 x 5 x 4 x3 – 6x 5

                                             = 30 x 4 – 30 x 12 – 30

                                             = 120 – 360 – 30

                                             =- 270

Answer:

11 buses

Step-by-step explanation:

The amplitudes of functions are a) 8 and b) 6.

Given are the functions we need to determine the amplitude of function,

a) y = 8 Sin (x/2) + 3

b) y = 6 Cos x + 2

So,

To determine the amplitude of a trigonometric function, you can follow these steps:

For a sine function of the form y = A×sin(Bx + C) + D:

The amplitude is equal to the absolute value of the coefficient A.

For a cosine function of the form y = A×cos(Bx + C) + D:

The amplitude is equal to the absolute value of the coefficient A.

Let's apply these steps to the given functions:

a) y = 8×sin(x/2) + 3

The coefficient of sin in this function is 8, so the amplitude is |8| = 8.

Therefore, the amplitude of function a) is 8.

b) y = 6×cos(x) + 2

The coefficient of cos in this function is 6, so the amplitude is |6| = 6.

Therefore, the amplitude of function b) is 6.

Hence the amplitudes of functions are a) 8 and b) 6.

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Answer:

multiplication property of one or identity

Step-by-step explanation:

Answer:

a. ΔMNK =Δ \(PRT\)

b. TR=MN

c. \(x=7\)

Step-by-step explanation:

I hope this help you

Answer:

$45

Step-by-step explanation:

60/4=15 15x3(75%)=45

your sweater is $45 with the discount

Answer:

The reflexive property of congruence

Step-by-step explanation:

This property says that an object is congruent to itself.

Answer:

8 miles

Step-by-step explanation:

At a rate of 2 miles in 10 minutes, in 40 minutes he can run 8 miles.

2 / 10 == x / 40

x == (40 * 2) / 10

x == 8

Cheers.

Answer:

Step-by-step explanation:

8

Answer:

2658

Step-by-step explanation:

Answer: Huh

Step-by-step explanation:

Why would you throw away points

Answer:

Anything above 9

Step-by-step explanation:

63/7=9

The lines with the equations y=-1/2x+1 and y=2x+1 are perpendicular lines

Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient

The equations of the lines are given as

y=-1/2x+1 and y=2x+1

Rewrite the above equations as

y = -1/2x + 1 and y = 2x + 1

A linear equation is represented as

y = mx + c

Where the slope of the line is represented as

Slope = m

This means that the slopes of the equations of the lines given as y=-1/2x+1 and y=2x+1 are

m1 = -1/2

m2 = 2

As a general rule, the relationship between slopes are

m1 = m2 --- parallel lines

m1 * m2 = -1 ---- perpendicular lines

In the equations of the lines given as y=-1/2x+1 and y=2x+1, we have

m1 * m2 = -1/2 * 2

Evaluate

m1 * m2 = -1

The above equation is true for perpendicular lines

Hence, the lines are perpendicular lines

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Answer:

if each was used only once, the answer would be 52080

Step-by-step explanation:

Answer:

y=9/8x+-3/2

Step-by-step explanation:

Step 1: Add -9x to both sides.

9x−8y+−9x=12+−9x

−8y=−9x+12

Step 2: Divide both sides by -8.

-8y/-8=-9x+12/-8

y=9/8x+ -3/2

The fare for a 500-mile trip is 164.

The equation provided in the question is known as a linear equation. A linear equation is an equation that has a single variable that is raised to the power of one.

The general form of a linear equation is:

y = mx + b

Where:

In the equation used to calculate the fare, y=0.28x+24, 0.28 is the variable cost and 24 is the fixed cost.

Cost of a 500-mile trip = y=0.28(500) +24

y = 140 + 24

y = 164

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The equation of the line that passes through the point (4, 2) with a slope of -2 is y = -2x + 10.

A straight line's general equation is y = mx plus c, where m denotes the line's slope and c its y-intercept. It is the geometry-related straight line solution that is used the most frequently. A straight line's equation can be expressed in various ways, including point-slope form, slope-intercept form, intercept form, standard form, etc. A straight line is a two-dimensional geometric object that can reach infinity on both sides.

The equation of a line can be represented in the slope-intercept form, which is given by:

y = mx + b

where:

m = slope of the line

b = y-intercept of the line

Given:

Point (x1, y1) = (4, 2)

Slope (m) = -2

Plugging in the given values into the slope-intercept form, we have:

y = -2x + b

Now, we can use the given point (4, 2) to solve for the y-intercept (b). We substitute the coordinates of the point (x1, y1) into the equation and solve for b:

2 = -2(4) + b

2 = -8 + b

b = 2 + 8

b = 10

So, the value of b is 10.

Putting the values of m and b back into the slope-intercept form, we get the equation of the line:

y = -2x + 10

So, the equation of the line that passes through the point (4, 2) with a slope of -2 is y = -2x + 10.

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Answer:

Step-by-step explanation:

In a right triangle, the sum of the squares of the

lengths of the legs is equal to the square of the length

of the hypotenuse. The length of the hypotenuse is 13

and the lengths of the legs are 5 and x.  ansswer is 12

Answer:

AB = 18

Step-by-step explanation:

Oh man these are so much fun!

So for the angles:

A + B + C = 180 deg

And the sides:

Well, we don't know yet

Let's solve for x:

Since all the sides are equal (and there are three sides) we can do 180 / 3 to find each angle. So, each angle is 60 deg

6x = 60

Divide both sides by 6:

x = 10

Now for the sides:

x + 8 = BC

10 + 8 = BC

BC = 18

Since all the sides are equal, AB = 18 as well!