Please answer the question

Answer:

So for this, I will be doing a system of equations. Let x = money invested at 4% and y = money invested at 6%. We know that x and y will total up to 10k since that's how much he initially invested, so that'll be one of our equations.

Our other equation will represent the total balance he has after investing. We know that x's interest is 4% (since the money is increasing, this would translate to 1.04 in decimal form) and y's interest is 6% (aka 1.06 in decimal form since its increasing) and that the total balance is 10470 (initial balance + interest income).

Step-by-step explanation:

Using all this info, these are our two equations:

X+Y=10000

1.04x+1.06=10470

Next, substitute x in the second equation for (10000 - y) and solve for y as such:

1.04(10000-y) +1.06y =10470

10400 - 1.04y + 1.60y = 10470

10400 + 0.02y = 10470

0.02y =70

y = 3500

Now that we have the value of y, substitute it into either equation to solve for x:

x + 3500 = 10000

x= 6500

1.04x + 1.06(3500)= 10470

1.04x = 6500

Answer

In short:

$6,500 was invested in the 4% rate

$3,500 was invested in the 6% rate

Answer:

$506

Step-by-step explanation:

We know that 1 concert ticket is $23

Multiply 23 by 22 to get 506

They spend $506 in total for the tickets.

The total cost for a group of 22 people is $506 if a concert ticket costs $23. , the answer is $506.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

A concert ticket costs $23.

Let x be the total cost for the group of 22 people:

The value of x can be found as follows:

The linear equation in one variable:

x = 23×22

x = $506

Thus, the total cost for a group of 22 people is $506 if a concert ticket costs $23. , the answer is $506.

Learn more about the linear equation here:

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Answer:

90 i think if i did the math correct

Step-by-step explanation:

Answer:

90 inches

Step-by-step explanation:

12" in a foot so in order to convert 3' to inches after Walt apply it by 12. once you have that just the formula to find the perimeter.

3 × 12 = 36

the perimeter formula is: 2L + 2W = P

36 × 2 = 72 9 × 2 = 18

72 + 18 = 90

your answer should be 90 inches.

Answer:

1716 ;

700 ;

1715 ;

658 ;

1254 ;

792

Step-by-step explanation:

Given that :

Number of members (n) = 13

a. How many ways can a group of seven be chosen to work on a project?

13C7:

Recall :

nCr = n! ÷ (n-r)! r!

13C7 = 13! ÷ (13 - 7)!7!

= 13! ÷ 6! 7!

(13*12*11*10*9*8*7!) ÷ 7! (6*5*4*3*2*1)

1235520 / 720

= 1716

b. Suppose seven team members are women and six are men.

Men = 6 ; women = 7

(i) How many groups of seven can be chosen that contain four women and three men?

(7C4) * (6C3)

Using calculator :

7C4 = 35

6C3 = 20

(35 * 20) = 700

(ii) How many groups of seven can be chosen that contain at least one man?

13C7 - 7C7

7C7 = only women

13C7 = 1716

7C7 = 1

1716 - 1 = 1715

(iii) How many groups of seven can be chosen that contain at most three women?

(6C4 * 7C3) + (6C5 * 7C2) + (6C6 * 7C1)

Using calculator :

(15 * 35) + (6 * 21) + (1 * 7)

525 + 126 + 7

= 658

c. Suppose two team members refuse to work together on projects. How many groups of seven can be chosen to work on a project?

(First in second out) + (second in first out) + (both out)

13 - 2 = 11

11C6 + 11C6 + 11C7

Using calculator :

462 + 462 + 330

= 1254

d. Suppose two team members insist on either working together or not at all on projects. How many groups of seven can be chosen to work on a project?

Number of ways with both in the group = 11C5

Number of ways with both out of the group = 11C7

11C5 + 11C7

462 + 330

= 792

Answer:

Peyton's account will have $13,842.18 after a year.

Step-by-step explanation:

Given that Peyton received $ 12,700 and decided to invest it for a year in an account that grants an interest of 8.8% per year, compounded semiannually, to determine the amount of money that will be in said account after the passage of one year, it is necessary to perform the following calculation:

X = 12,700 (1 + 0.088 / 2) ^ 1x2

X = 13,842.18

Therefore, after a year has passed, Peyton's account will be $ 13,842.18.

Answer:

450/3

Step-by-step explanation:

IF M WHAT???...???????

There are 18 different boards from which the customer can choose.

The total number of different boards is given by the product between the number of options for each of the possible selections.

The selections (and their options) are:

Then the total number of different boards is given by:

N = 3*3*2 = 18

There are 18 different boards from which the customer can choose.

If you want to learn more about combinations:

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I'll try! What's the link?

Answer:

Step-by-step explanation:

x^4(x^3) is x^7 (when multiplying two same variables with exponents you just add the exponents)

(x^4)/(x^3) is x^1 or just x (when dividing two same variables with exponents you just subtract the exponents)

Answer:

44,270

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

2x - 1 = 7

2*4=8

8-1=7

Answer:

C

Step-by-step explanation:

2x-1= 7

add 1 one on both sides

2x = 8

divide both sides by 2

x=4

Answer:

Figure J does not show y as a function of x ⇒ D

Step-by-step explanation:

y is a function of x if and only if every x has only one value of y

Let us check each given figure if it shows a function or not

#Figure F

∵ Every value of x has an arrow is pointed to one value of y

∴ Every x has only one value of y

∴ The figure shows y as a function of x

#Figure G

∵ The ordered pairs have different values of x-coordinates

∴ Every x-coordinate has only one value of y-coordinate

∴ The figure shows y as a function of x

#Figure H

∵ Every x in the table appears once

∴ Every x has only one value of y

∴ The figure shows y as a function of x

#Figure J

∵ The ordered pairs were drawn in the figure are (-3, -2), (-3, -3), (-2, 0),

  (-2, -1), (-1, 1), (-1, 2), (0, 3), (0, 4)

∵ x = -3 has two values of y, y = -2 and -3

∵ x = -2 has two values of y, y = 0 and -1

∵ x = -1 has two values of y, y = 1 and 2

∵ x = 0 has two values of y, y = 3 and 4

∴ Every x-coordinate has more than one value of y-coordinate

∴ Figure J does not show y as a function of x

Answer:

2. A 4√3

3. B -5/3

Step-by-step explanation:

Answer:

Therefore, Company B is offering the lowest price/lb at $12.73/lb.

So, Company A's price / lb = ($32.50/2.5lbs) = $13.00/lb

Step-by-step explanation:

To determine price per lb, divide dollar amount by lbs.

- Company A sells 2 1/2lbs (2.5lbs) for $32.50

- Company B sells 2 3/4lbs (2.75lbs) for $35.00

And, Company B's price / lb = ($35.00/2.75lbs) = $12.73/lb

Answer:

Step-by-step explanation:

8 fluid ounces in one cup

16 fluid ounces in a pint

2 feeders of 6 fluid ounces each

8 plus 16 plus 12

36, D

Answer: 355

Step-by-step explanation:

Hope this helps !

Answer:

1/20÷950

Step-by-step explanation:

hope this helps!

Answer:

the first one

Step-by-step explanation:

Answer:

43

Step-by-step explanation:

because

Answer:

(1, 35) means that $35 is the cost per hour of hiring a face painter.

Step-by-step explanation:

Notice that this is a linear function that goes through the origin and also through the point (5, 175) which according to the data plotted in both axis, means that for 5 hours of service, the cost is $175.

One can calculate the slope of this line as that of the segment that joins (0, 0) with (5, 175) as:

slope = (175 - 0) / (5 - 0) = 175 / 5 = 35 / 1

Notice as well that such slope reads the amount of dollars to hire a face painter for ONE hour (so it is the rate per hour for hiring a face painter).

So the point (1 , y) should be completed as: (1, 35) and means "the rate per hour for hiring a face painter."

Answer:

3.33ft

Step-by-step explanation:

Area of the fence = Length * Width

A = LW

Given

Area A = 30ft²

If the length of  the her fence must be one feet greater than three times its  width, then;

L = 3W + 1

Substotute into the area formula

A = (3W+1)W

30 = 3W²+W

3W²+W - 30 = 0

(3W²+9W)-(10W - 30) =

3W(W+3)-10(W+3) = 0

3W-10 = 0 and W+3 = 0

3W = 10 and W = -3

W = 10/3 and -3

Width cannot be negative

Hence the maximum width that her fence can be to ensure she  doesn't encroach into her neighbor's property is 3.33ft

Answer:

m∠a = 110°

m∠b = 110°

m∠c = 70°

m∠d = 70°

m∠i = 110°

m∠h = 110°

m∠j = 70°

m∠g = 110°

m∠f = 70°

m∠e = 70°

m∠k = 57°

m∠m = 70°

m∠l = 167°

Step-by-step explanation:

Let the measure of the yellow angle = 110°

Therefore;

m∠a = 110°  by vertically opposite angles

m∠b = m∠a = 110° by opposite interior angles of a parallelogram

m∠c = 180° - 110° = 70° by same side interior angles

m∠d = m∠c = 70° by opposite interior angles of a parallelogram

m∠i and m∠c are supplementary angles, therefore, m∠i = 110°

m∠h = m∠i = 110° by vertically opposite angles

m∠j = m∠c = 70° by vertically opposite angles

m∠g and m∠d are supplementary angles, therefore, m∠g = 110°

m∠f = m∠d = 70° by alternate interior angles

m∠f = m∠e = 70° by vertically opposite angles

m∠k = 180° - (m∠h + 13°) = 180° - (110° + 13°) = 57°

m∠b and m∠m are supplementary angles, therefore, m∠m = 70°

m∠l and 13° are supplementary angles, therefore, m∠l = 167°

I need to see the other expressions

Answer:

1. Slope: [tex]m = \frac{4}{3}[/tex]

2. Distance: [tex]AB = 10[/tex]

3.  Midpoint: [tex]M = (5,7)[/tex]

4. Slope of perpendicular line: [tex]m_2 = -\frac{3}{4}[/tex]

Step-by-step explanation:

Given

[tex]A = (2,3)[/tex]

[tex]B = (8,11)[/tex]

Solving (1): Slope of AB

Slope (m) is calculated as follows:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where:

[tex]A = (2,3)[/tex] --- [tex](x_1,y_1)[/tex]

[tex]B = (8,11)[/tex] --- [tex](x_2,y_2)[/tex]

So, we have:

[tex]m = \frac{11 - 3}{8 - 2}[/tex]

[tex]m = \frac{8}{6}[/tex]

[tex]m = \frac{4}{3}[/tex]

Solving (2): Length AB

This is solved by calculating the distance of AB using the following formula.

[tex]AB=\sqrt{(x_1-x_2)^2 + (y_1 - y_2)^2}[/tex]

Where:

[tex]A = (2,3)[/tex] --- [tex](x_1,y_1)[/tex]

[tex]B = (8,11)[/tex] --- [tex](x_2,y_2)[/tex]

So:

[tex]AB = \sqrt{(2-8)^2 + (3 - 11)^2}[/tex]

[tex]AB = \sqrt{(-6)^2 + (-8)^2}[/tex]

[tex]AB = \sqrt{36 + 64}[/tex]

[tex]AB = \sqrt{100}[/tex]

[tex]AB = 10[/tex]

Solving (3): Midpoint of AB.

Midpoint, M is calculated as follows:

[tex]M = \frac{1}{2}(x_1+x_2, y_1 + y_2)[/tex]

Where

[tex]A = (2,3)[/tex] --- [tex](x_1,y_1)[/tex]

[tex]B = (8,11)[/tex] --- [tex](x_2,y_2)[/tex]

So:

[tex]M = \frac{1}{2}(2+8,3+11)[/tex]

[tex]M = \frac{1}{2}(10,14)[/tex]

[tex]M = (5,7)[/tex]

Solving (4): Slope of line perpendicular to AB

The relationship between the slopes of two perpendicular lines is:

[tex]m_2 = -\frac{1}{m_1}[/tex]

Where

[tex]m_1[/tex] represents the slope of AB

[tex]m_1 = \frac{4}{3}[/tex]

So:

[tex]m_2 = -1/\frac{4}{3}[/tex]

[tex]m_2 = -1*\frac{3}{4}[/tex]

[tex]m_2 = -\frac{3}{4}[/tex]

Answer:

y - 4 = 3(x + 2)

Step-by-step explanation:

y - y₁ = m(x - x₁)

y - 4 = 3(x - (-2))

y - 4 = 3(x + 2)

Answer:

i think is 167

Step-by-step explanation:

Answer:

26,800

Step-by-step explanation:

Im not sure but thats what I got

Answer:

$0.405

I just took the test.

Answer:

1

Step-by-step explanation:

Answer: b. The population standard deviation

Step-by-step explanation:

The one-sample z-test is a test that us carried out to ascertain whether the mean of a population is either greater or less than a specific value given.

The one sample t test is used in comparing the mean of the sample data of the researcher carrying out the research to a known value.

When the population standard deviation is known, the one sample z test is used while when the population standard deviation is not known, one can use the one sample t test.