Miranda wants to give her 14-years old daughter $20,000 when she turns 18. How much does she need to put in the bank now if the interest rate is 10 percent per year?

Answer:  The correct option is (D) 22.

Step-by-step explanation:  We are given to find the value of x from the given figure.

From the figure, we see that a triangle is shown where the measure of an external angle is (6x + 1)° and the measures of the two remote interior angles are 79° and (2x + 10)°.

Since the sum of the measures of two remote interior angles of a triangle is equal to the measure of the external angle, so we get

[tex]79^circ+(2x+10)^\circ=(6x+1)^\circ\\\\\Rightarrow 79+2x+10=6x+1\\\\\Rightarrow 6x-2x=88\\\\\Rightarrow 4x=88\\\\\Rightarrow x=\dfrac{88}{4}\\\\\Rightarrow x=22.[/tex]

Thus, the required value of x is 22.

Option (D) is CORRECT.

The experimental probability to choose card 1 (15/125) is 10 less than the theoretical probability which is 25/125.

Answer:

The theoretical probability of choosing a card with the number 1 is  (20​%). The experimental probability of choosing a card with the number 1 is (16​%). The theoretical probability is  (greater than ) the experimental probability.

1. rational number

2. percent

3. least common denominator

4. proportion

5. percent proportion

I am positive that these numbers are correct.

1 is rational number

2 is percent

3 is least common denominator

4 is proportion

5 is percent proportion

I think it is C

I hope this helps

Answer: The answer is (C). [tex]y\geq 0.[/tex]

Step-by-step explanation:  We are given a graph in the figure and we are to identify the range of the graphed function from the given options.

We can see in the figure that the values of x are greater than or equal to 0 and the corresponding values of y are also greater then or equal to 0. Since we are talking about the range of the function, so we will consider the y-values.

Thus, the range of the function will be [tex]y\geq 0.[/tex]

Thus, (C) is the correct option.

To decide which one is the better deal, you need to compare them on price per ear. So, the the first vendor is $2.56/8ears= $0.32/ear

the second vendor: $4.32/12 = $0.36/ear

The first vendor with the bag of 8 ears is the better deal!

Answer:

The better deal is first vendor bag.

Step-by-step explanation:

Given : A corn vendor at a farmers market was selling a bag of 8 ears of corn for $2.56. Another vendor was selling a bag of 12 for $4.32.

To find : Which bag is the better deal?

Solution :

To compare which is better we find the unit rate of both vendor rate.

The selling price of first vendor of 8 ears of corn for $2.56.

The selling price of 1 bag is [tex]\frac{2.56}{8}[/tex]

The selling price of 1 bag is $0.32.

The selling price of second vendor of 12 ears of corn for $4.32.

The selling price of 1 bag is [tex]\frac{4.32}{12}[/tex]

The selling price of 1 bag is $0.36.

The unit price of first vendor bag is lower than second vendor.

So, the better deal is first vendor bag.

The point-slope formula:

[tex]y-y_1=m(x-x_1)[/tex]

We have a slope m = 2 and point (-8, 2)

Substitute:

[tex]y-2=2(x-(-8))\\\\y-2=2(x+8)[/tex]

Answer:

C) 3x^2 + 20x + 12 = 0

Step-by-step explanation: Because it is the right answer

What are the solutions to the equation?

A. x = -6 and x = -2/3

Step-by-step explanation:

this was a second part to the question for me so i decided to give u guys it as well, incase u come across it

How to get answer: [tex]\frac{3}{4}[/tex]÷[tex]\frac{1}{3}[/tex]

Apply the fraction rule: [tex]\frac{3}{4} * \frac{3}{1}[/tex]

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

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

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

= [tex]\frac{9}{4 * 1}[/tex]

Answer in fraction form: = [tex]\frac{9}{4}[/tex]

Answer in decimal form: = 2.25

Final answer:

To divide 3/4 by 1/3, multiply 3/4 by the reciprocal of 1/3, which is 3/1, giving you 9/4. This fraction is already in its lowest terms.

Explanation:

To divide fractions, such as dividing 3/4 by 1/3, you need to multiply the first fraction by the reciprocal of the second fraction. The reciprocal of 1/3 is 3/1. So, you should alter the division problem to a multiplication problem.

Here is the step-by-step process:

Write down the problem in multiplication form: (3/4) * (3/1).

Multiply the numerators together: 3 * 3 = 9.

Multiply the denominators together: 4 * 1 = 4.

You get the result of the multiplication as 9/4.

To reduce to the lowest terms, we see that 9/4 is already in its simplest form as both 9 and 4 are prime to each other.

Thus, when you divide 3/4 by 1/3, the answer in lowest terms is 9/4.

the sum or product of  21+25+39+5 is 90

6x - 10(x + 12) = -4x - 24

Distributive property.

6x - 10x - 120 = -4x - 24

Add 10x to both sides.

6x - 120 = 6x - 24

Cancel like terms.

Add 24 to both sides.

-96 ≠ 0.

This equation is incorrect, as -96 will never be equal to 0.

Any fraction in which the numerator's value is the same as the denominator's value will equal 1. For example:

7/7, 6/6, 500/500, etc.

~Rise Above the Ordinary

Here are some examples 3/3, 4/4, 5/5, 1/1, 2/2, 6/6. It's any number over it self.

27 issssssssssss the eeeeee mean

Answer:

You can conclude that the lines are perpendicular, and will cross at exactly one point.

Step-by-step explanation: If one line has a zero slope, and the other's slope is undefined, that means one line is exactly vertical, and the other is exactly horizontal. This means that they will cross at exactly one point, and are perpendicular.

The slope of a line illustrates the direction of the line

The two lines are perpendicular lines

From the question, we understand that:

As a general rule,

A vertical line and a horizontal line will meet at a right-angle

Hence, the conclusion about the two lines is that, the two lines are perpendicular lines

See attachment for illustration

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y = 6 - 3x

x + y = 62

Since we already know the value of y, we can use substitution to find the value of x.

x + 6 - 3x = 62

Subtract 6 from both sides.

x - 3x = 56

Combine like terms.

-2x = 56

Divide both sides by -2

x = -28

Now that we know the value of x, we can solve for the value of y.

x + y = 62

-28 + y = 62

Add 28 to both sides

y = 90

The value of y is 90, and the value of x is -28 (this is your answer)

To make sure that these values are correct, we can plug them into the original equations.

y = 6 - 3x

x + y = 62

90 = 6 - 3(-28)

90 = 90 √ this is correct

-28 + 90 = 62

62 = 62 √ this is also correct

Final answer:

Using a system of linear equations, we find that the two numbers in question are 45 and 17.

Explanation:

Let's call the first number x and the second number y. According to the problem, one number (x) is 6 less than 3 times another number (y). So we can write this as an equation: x = 3y - 6.

The problem also states that their sum is 62. This gives us a second equation: x + y = 62.

Now, we have two equations:

x = 3y - 6 (Equation 1)

x + y = 62 (Equation 2)

To find the values of x and y, we can substitute the expression for x from Equation 1 into Equation 2, giving us:

(3y - 6) + y = 62

Simplifying, we have:

4y - 6 = 62

Adding 6 to both sides:

4y = 68

Dividing by 4:

y = 17

Now that we have the value for y, we can substitute it back into Equation 1 to find x:

x = 3(17) - 6

x = 51 - 6

x = 45

Therefore, the two numbers are 45 and 17.

Distrubute 5 through the (....)

10x-15+30=35

Calculate the Sum

10x+5=35

Move constant to the right side and change the sign

10x=35-5

Subtract the number

10x=30

Divide both sides by 10

x=3

To rewrite one equation like x = 4 - y into ax + by = c form, we adjusted it to x + y = 4. Then, we combined it with the unchanged equation y = 2x + 3 by substituting 'y' in the first equation with 'y' from the second, leading to 3x + 3 = 4, a one-variable equation.

To rewrite one of the two equations into the form ax + by = c, it's essential to start by having an equation that resembles y = a + bx (which is the same as y = mx + b, the conventional form for a linear equation) and the other in any format initially. Let's assume these equations as the existing ones: y = 2x + 3 and x = 4 - y.

Step 1: Transform the equation x = 4 - y into the form ax + by = c.

Firstly, shift y to the left side of equation by adding 'y' to both sides:

x + y = 4,

That's it! We now have the equation in the required ax + by = c format, where a = 1, b = 1 and c = 4.

Step 2: Add this new equation to the unchanged equation.

x + y = 4 (New one after rearranging)

y = 2x + 3 (Unchanged equation)

By substituting y from the second equation into the first, it will result in an equation in one variable:

x + (2x + 3) = 4,

After simplifying the equation, we get

3x + 3 = 4,

That is the result as an equation in one variable.

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[tex]\bf 3x+(2x+5)+(2x+10)+(2x-15)=360 \\\\\\\\3x+2x+2x+2x+10+5-15=360\implies 9x+0=360\\\\\\\\x=\cfrac{360}{9}\implies x=40\\[/tex]

Answer:

The simplified form of given expression is [tex]x^2+4x-21[/tex].

Step-by-step explanation:

The given expression is

[tex](x-3)(x+7)[/tex]

Here, we have to factors (x-3) and (x+7).

Factor (x-3) has two terms x and -3. Write these terms in first row.

Factor (x+7) has two terms x and 7. Write these terms in first column.

Now, find the elements of the table by multiplying corresponding rows and columns.

The elements of the table are x², -3x, 7x, -21.

Now, add all these elements.

[tex]x^2-3x+7x-21=x^2+4x-21[/tex]

Therefore the simplified form of given expression is [tex]x^2+4x-21[/tex].

the answer is 5/100 because its in the hundreths place but it simplifies down to 1/20

thank you for your time and please mark brainliest

Question 28:

[tex]S-2\pi r^2=2\pi rh[/tex]                     Subtract [tex]2\pi r^2[/tex] on both sides

[tex]\frac{S-2\pi r^2}{2\pi r} =h[/tex]         Divide [tex]2\pi r[/tex] on both sides

*(Answer)*=  [tex]\frac{S-2\pi r^2}{2\pi r} =h[/tex]

Question 30:

[tex]a*t=v_{1}+v_{0}[/tex]                  Multiply [tex]t[/tex] on both sides

[tex]a*t+v_{0} =v_{1}[/tex]                 Subtract [tex]v_{0}[/tex] on both sides

*(Answer)*= [tex]a*t+v_{0} =v_{1}[/tex]

Hope This Helps

BangtanBoyScouts

The solution of expression is,

p = 2/5

We have to given that,

An expression to solve,

3 (5p - 3) = 5 (p - 1)

Now, We can simplify as,

3 (5p - 3) = 5 (p - 1)

Apply distributive property, we get;

15p - 9 = 5p - 5

15p - 5p = 9 - 5

10p = 4

p = 4/10

p = 2/5

Therefore, The solution of expression is,

p = 2/5

Learn more about the mathematical expression visit:

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x^2 - 14x = 14

x^2 - 14x + 49 = 63

(x - 7)^2 = 63

x - 7 = √63

x = 7 ± √63 is the solution set to the provided equation.

Answer:

[tex]x=28cos(z)\\y=28sin(z)[/tex]

Step-by-step explanation:

We have been given a right triangle, which the following dimensions:

Hypotenuse = 28

Angle = z

Adjacent = x

Opposite = y

Upon using trigonometric ratio for cosine, we can write:

[tex]cos(z)=\frac{\text{Adjacent}}{\text{Hypotenuse}} =\frac{x}{28}\\ x=28cos(z)[/tex]

Similarly, upon using trigonometric ratio for sine, we get write:

[tex]sin(z)=\frac{\text{Opposite}}{\text{Hypotenuse}} =\frac{y}{28}\\ y=28sin(z)[/tex]

Answer:

The overall change in temperature over the time period ∆T = -12.6°F

Hope This Helps :DD

Step-by-step explanation:

8 - x < 5      |-8

-x < -3       |change the signs

x > 3

6/2 =3

18/3 = 3

(18-6)/((6-2)= 12/4 =3

True

6/2=3

18/6=3

The answer is True

He saves $20 i did this and i got the right answer. hope this helps mark me as brainliest