Find the interest on $4000 at 3% for 4 months

The correct answer to the simplified form of the mixed fraction equation is determined as [tex]\frac{67x}{10} + 9[/tex].

The given fraction is written as follows;

[tex]3 (\frac{7}{5} x + 4)-2(\frac{3}{2} -\frac{5}{4} x)[/tex]

[tex]=3 (\frac{7}{5} x + 4)-2(\frac{3}{2} -\frac{5}{4} x)\\\\= \frac{21}{5} x + 12 - 3 + \frac{5x}{2} \\\\= \frac{21}{5} x +9 + \frac{5x}{2}\\\\= \frac{42x + 90+ 25x}{10} \\\\= \frac{67x}{10} + 9[/tex]

Thus, the correct answer to the simplified form of the mixed fraction equation is determined as [tex]\frac{67x}{10} + 9[/tex].

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Answer:

C. 6cm and 7 cm

Step-by-step explanation:

The volume of a cube is calculated by finding the third power of a side length which is basically multiplying the value by itself three times (a^3 = a*a*a)

Let a represent the side length

a^3 = 250.047 cm^3 (approximately 250) we can try each option one by one to find the nearest result:

A)

the third power of 4 is 64 and the third power of 5 is 125 so this is not the answer we are looking for

B)

The third power of 5 is 125 and the third power of 6 is 216 so this is also not the answer we are looking for

C)

the third power of 6 is = 216 and the third power of 7 is 343

now 250 is between these values so this is the answer we are lookign for

Answer:

Step-by-step explanation:

Tan = - 1 occurs at    3pi/4   and  5pi/4  R

Answer:63

Step-by-step explanation: H:0=18:12=1.5:1

1.5:1=63:42

Answer:

45 days

Step-by-step explanation:

Step 1:  Determine how long it will last

(9 cups) * (5 days / cup)

45 days

Answer: 45 days

Answer:

y = 2x

Step-by-step explanation:

Use y = mx + b to write an equation. The y-intercept is zero. This is where the line crosses the y -axis, kind of the "starting point" So in the equation the b is a zero.

You can grab a couple points from the line to do a calculation for slope. BUT, you can actually SEE the slope on this line and save yourself the calculation. Starting from zero, see that you go UP 2 and OVER 1 to get to the next point. UP2OVER1 gets you to the next point and the next point. UP2OVER1 is the slope 2/1, which is 2, which is the m in the equation.

y = 2/1 x + 0

y = 2x + 0

y = 2x

**in case you have to show a calc for slope. Grab two points and do y-y, put that on top and then x-x and put that on the bottom.**

Answer:

Approximately 0.51

Step-by-step explanation:

Answer: 0.375

Step-by-step explanation:

The cost of 1 purse will be £14.

And, The cost of 1 watch will be £13.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The cost of 1 purse and 1 watch is £27.

The cost of 2 purses and 1 watch is £41.

Now,

Let the cost of 1 purse = x

And, The cost of watch = y

So, We can formulate;

⇒ x + y = £27    ......(i)

And, The cost of 2 purses and 1 watch is £41.

So, We can formulate;

⇒ 2x + y = £41          ..........(ii)

Subtract (i) from (ii), we get;

⇒ 2x + y - x - y = 41 - 27

⇒ x = £14

And, From equation (i), we get;

⇒ x + y = £27

⇒ £14 + y = £27

⇒ y = £27 - £14

⇒ y = £13

Thus, The cost of 1 purse will be £14.

And, The cost of 1 watch will be £13.

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Answer:

B po sure po ako

Step-by-step explanation:

keep. learning po

Answer:

No

Step-by-step explanation:

A statistical question is one where results may vary but this isn't the case since it will always be 4 quarts=1 gallon.

Answer:

5 cm height

Step-by-step explanation:

V = L * W * H

V / (L* W) = H      =  5cm height

Answer:

$7,350.00

Step-by-step explanation:

To find out the total amount of money, you need to know the total amount of tickets sold.

So, find out what 20% of 350 is for the second hour and add it to the 350 from the first hour

350 x 0.20 = 70

350 + 70 = 420 total tickets

now you multiply 420 by the amount of money per ticket in order to know the price for all the tickets in both hours

420 x 17.50 = 7,350 dollars total

Here is how you solve for x:

9x - 43/ 3x + 29

1: First, you add like terms. In this case, it is 9x and 3x. 9x + 3x= 12x

2: Then, you have -43 and 29 left. -43 + 29= -14 because you do 43 - 29 and keep the sign of the larger number.

3: Lastly, we have a one-step equation left to solve: 12x-14. So, now we do this:

- divide both sides by 12.

- -14/12= 1.67

x= -1.67

Have a nice day <3

The proportion that satisfies the geometric mean (altitude) theorem for the triangle is 2/h = h/3

According to the theorem, the ratio similar sides of a right triangle are equal. From the given diagram, we are to determine the proportion satisfies the geometric mean (altitude) theorem for the triangle.

Taking the ratio of the base to the height, we will have:
MK/KL = KL/KN

Substitute the measure of the sides

2/h = h/3

Hence the proportion that satisfies the geometric mean (altitude) theorem for the triangle is 2/h = h/3

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Answer:

its D, 2/h = h/3

Step-by-step explanation:

The number of different triangles that can be drawn that have the same angle and side measures will be 2.

It should be noted that an isosceles triangle simply means a triangle that has two sides that are of equal length.

In this case, the number of different triangles that can be drawn that have the same angle and side measures will be 2. The angle is 75° and side length is 12cm.

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Answer:

x is 46 and c is 17

Step-by-step explanation:

Answer:

Asymptotic discontinuities at [tex]x = (-2)[/tex] and [tex]x = 4[/tex].

Step-by-step explanation:

A linear function has an asymptotic discontinuity at [tex]x = a[/tex] if [tex](x - a)[/tex] is a factor of the denominator after simplification.

The numerator of this function, [tex](x - 1)[/tex], is linear in [tex]x[/tex].

The denominator of this function, [tex](x^{2} - 2\, x - 8)[/tex], is quadratic in [tex]x[/tex]. Using the quadratic formula or otherwise, factor the denominator into binominals:

[tex]\begin{aligned}y &= \frac{(x - 1)}{x^{2} - 2\, x - 8} \\ &= \frac{(x - 1)}{(x - 4)\, (x + 2)}\end{aligned}[/tex].

Simplify the function by liminating binomials that are in both the numerator and the denominator.

Notice that in the simplified expression, binomial factors of the denominator are [tex](x - 4)[/tex] and [tex](x + 2)[/tex] (which is equivalent to [tex](x - (-2))[/tex].) Therefore, the points of discontinuity of this function would be [tex]x = 4[/tex] and [tex]x = (-2)[/tex].

Answer:184yards

Step-by-step explanation:

First of all, the formulae for finding the perimiter is 2xlength + 2xwidth

which can also be written as 2l + 2w

solution:

=2l + 2w

=2x33 + 2x59

=66 + 118

= 184

Therefore the perimeter of the rectangle is 184yards.

Step-by-step explanation:

The answer for C is:

(x,y) = (-166, 34)

I think your teacher wants you to write it as x=-166, x-=34 ? I'm not sure.

And for D it's:

(x,y) =

[tex](x,y) = ( \frac{16}{3}, - \frac{1}{9} )[/tex]

Which would be x= 16/3, x= -1/9

Answer:

Constant Rate = -2

Step-by-step explanation:

To find the constant rate or slope, you can use Change in Y-Value/Change in X-Value using two points. (Rise/Run). You can use any two points.

From that you should be able to get -2.

Answer:

√2 is irrational

Step-by-step explanation:

√2 is irrational because you cannot write it as a fraction of rational numbers. Some good approximations of √2, however, are 99/70, 577/408, and 665857/470832.

Answer:

Height of the rectangular prism is 10.1 millimeters

Step-by-step explanation:

Rectangular Prism Formula = Length * Width * Height
1,919mm^3 = 10 mm * 19mm * height

height = 10.1 millimeters

Answer:

10 9/64

Step-by-step explanation:

To answer this, multiply '1 3/8 miles' by '7 3/8.'  

The improper fraction form of '1 3/8' is 11/8, and that of 7 3/8 is 59/8.

Multiplying 11/8 by 59/8, we get 649/64, or (as a mixed number) 10 9/64

Answer:

(2x + 1) (4x + 1)

Step-by-step explanation:

8x^2 + 6x + 1

2x          1

4x          1

(2x + 1) (4x + 1)

Answer:

(2x+1)(4x+1)

Step-by-step explanation:

[tex] {8x}^{2} + 6x + 1[/tex]

Step 1) Rewrite 6x as a sum:

[tex] {8x}^{2} + (4x + 2x) + 1[/tex]

Step 2) Factor out 4x:

[tex]4x(2x + 1) +( 2x + 1)[/tex]

Step 3) Factor out (2x +1):

[tex](2x + 1)(4x + 1)[/tex]

Answer:

68

Step-by-step explanation:

The shape is 5 sides polygon.

Sum of interior angles of a 5 sided polygon = 540,

7x + 4 + 8x + 3 + 4x + 8 + 10x - 4 + 6x + 4 = 540

7x + 8x + 4x + 10x + 6x + 4 + 3 + 8 + 4 - 4 = 540

35x + 4 + 3 + 8 = 540

35x + 15 = 540

35x = 540 - 15

35x = 525

Divide 35 on both sides,

x = 525 / 35

x = 15

Angle R = 4x + 18

Substitute the value of x,

Angle R = 4 ( 15 ) + 8

             = 60 + 8

Angle R = 68

Answer:

See below ~

Step-by-step explanation:

Question 1

The missing angles

⇒ The sides are equal

⇒ Angles are not 90°

⇒ It is a rhombus

Question 2

Using the z-distribution, it is found that the correct option regarding the question in the problem is given by:

B. No, since the confidence interval includes values less than 50%, his opponent may get more votes.

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

In this problem, the parameters are given as follows:

[tex]\pi = 0.52, n = 1000[/tex]

Hence, the bounds are given by:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.52 - 1.96\sqrt{\frac{0.52(0.48)}{1000}} = 0.489[/tex]

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.52 + 1.96\sqrt{\frac{0.52(0.48)}{1000}} = 0.551[/tex]

The lower bound is below 0.5, hence option B is correct.

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