i invest $250 in a simple account that earns 10% annually. After 6 years, how much money have i earned? Hint round to the nearest cent.

We need to find the zeros for the next function:

We can find those zeros using the quadratic formula given by:

Use the form ax²+bx+x.

Where a=3

b= -11

c=-4

Replacing :

Therefore, the zeros of f (z) are -1/3 and 4.

Okay, here we have this:

Considering that in a parallelogram the opposite sides are congruent, we obtain the following:

AB=CD

AB=9 units

AC=BD

AC=4 units

Total bill = $29

Tip left = 15%

The valu of the tip = 15% of $29

The value of the tip = $4.35

Let us consider the options given

$4.35 - $3 = $1.35

$4.35 - $3.5 = $0.85

$4.35 - $4 = $0.35

$4.5 - $4.35 = $0.15

Looking t the deviation from the real value of the tip ($4.35), the least deviation is $0.15. Hence, we can conclude that $4.5 is the closest to the tip.

The answer is option D ($4.50)

we can change a fraction to a percentage multiplying the fraction by 100

also, we can change a decimal number to a percentage multiplying by 100

for example

1. 1/5

In this case, 1/5 represent 20%

4. .625

In this case, 0.625 represent 62.5%

If we do the same process to all the next numbers we will obtain the next solutions.

1. 1/5 ------ a. 20%

2. 8/10 ------ f. 80%

3. 0.08 ------ d. 8%

4. .625 ---- g. 62.5%

5. 32/100 ---- b. 32%

6. 1/2 ------ c. 50%

7. 1.25 ---- e. 125%

There is not enough evidence to support the claim that there is a linear correlation between the weights of discarded paper and glass for a significance level of α = 0.05.

Given,

A data set includes weights of garbage discarded in one week from 62 different households.

significance level of α=0.05.

Now, According to the question:

The correlation​ matrix provided is:

Variables    Paper     Glass

 Paper           1         0.1853

Glass        0.1853         1

The hypothesis for the test is:

H₀: ρ = 0 vs. H₀: ρ ≠ 0

The test statistic is:

r = 0.1983 ≈ 0.198

As the alternate hypothesis does not specifies the direction of the test, the test is two tailed.

The critical value for the two-tailed test is:

[tex]r_{alpha}/2, (n -2) = r_{0.005}/2 ,(62-2) = 0.250[/tex]

The conclusion is:

Because the absolute value of the test statistic is less than the positive critical value, there is not enough evidence to support the claim that there is a linear correlation between the weights of discarded paper and glass for a significance level of α = 0.05.

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The slope intersept form of a line is ,

Given the point (x1,y1) is (5,-4) and slope is -9/5 implies,

We will determine the angle as follows:

We know that the whole circle contains 360°, so we determine the angle of 0.35 as follows:

So, the measure of the central angle for sector C is 126°.

We know that

• The first brand contains 7% vinegar.

• The second brand contains 12% vinegar.

• The chef wants 280 milliliters with 9% vinegar.

Using the given information, we can express the following equation.

Notice that 0.07x represents the first brand, 0.12(280-x) represents the second brand, and 0.08(280) represents the final product the chef wants to make.

Let's solve for x.

Notice that 280-168 = 112.

The face of a cuboid box have 4 right angles.

What is mean by Cuboid?

A cuboid is the solid shape or three-dimensional shape. A convex polyhedron which is bounded by six rectangular faces with eight vertices and twelve edges is called cuboid.

Given that;

Mari pushed a cube- shaped box to explore force.

And, She examined the attributes of the box.

Now,

In the cube shape, faces are all squares.

And, A square is a quadrilateral in which all angles are 90 degree.

Thus, The face of a cuboid box have 4 right angles.

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Since the events are independent, we have the following property:

That is, the probability of A is the same as the probability of A given B (since the events are independent, event B does not affect event A).

So, if P(A) = 0.3, therefore P(A|B) is also equal to 0.3.

Let the middle child is m and youngest is y.

The middle child is 5 years older than the youngest child, it can be shown as:

Tyler's equation is equivalent to ours since it can be obtained by multiplying both sides of our equation by 2:

So Tyler is right.

A) 15

1) Let's sketch that

According to the Bisector Theorem, the bisected line equally divides the angle. So we can write:

∠VYW≅∠WYX

And:

6r-18 = 36+36

6r -18 = 72

6r= 90

r= 15

ANSWER and EXPLANATION

A) To organize the measurements in ordered pairs implies that we want to put them in the form:

Therefore, the measurements in ordered pairs are:

Note: 4825 and 6000 are in millions (10⁶) of metric tons

B) To find the slope, apply the formula:

Therefore, the slope is:

C) To find the in point-slope form, we apply the formula:

Therefore, we have:

Note: the unit is in million metric tons

D) To show the equation in point-slope form, we have to put it in the form:

To do that, simplify the point-slope form of the equation:

E) To predict the emissions for the year 2020, substitute 2020 for x in the equation above:

That is the prediction for the year 2020.

Subtract '4h' from both RHS (Right-Hand side) and LHS of the inequality (Left-Hand side).

Add '8' on both LHS and RHS of the above expression.

Divide both RHS and LHS of the above expression with '-3'. Whenever an inequality is divide or multiple with a negative value, the sign of the inequality shifts. Here, the above expression is dividing with '-3'. Thus, the > symbol shifts to < symbol.

Thus, the iniequality for h is h<-(5/3).

The rational number is -91/100 or -0.91.

Any number of the form p/q, where p and q are integers and q is not equal to 0, is a rational number. The letter q stands for the set of rational numbers.

The word "ratio" is where the word "rational" first appeared. Rational numbers are therefore closely tied to the idea of fractions, which stand for ratios. In other terms, a number is a rational number if it can be written as a fraction in which the numerator and denominator are both integers.

Given:

We have to find the rational number between -0.45 and -0.46

Now, make both decimal into fraction

-0.45 and -0.46

-45/100 and -46/100

Now, multiply 2

-45/100 x 2/2 and -46/100 x 2/2

-90/100 and - 92/100

Hence, the rational number is -91/100 or -0.91.

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The rational number is -91/100 or -0.91.

Any number of the form p/q, where p and q are integers and q is not equal to 0, is a rational number. The letter q stands for the set of rational numbers.

The word "ratio" is where the word "rational" first appeared. Rational numbers are therefore closely tied to the idea of fractions, which stand for ratios. In other terms, a number is a rational number if it can be written as a fraction in which the numerator and denominator are both integers.

Given:

We have to find the rational number between -0.45 and -0.46

Now, make both decimal into fraction

-0.45 and -0.46

-45/100 and -46/100

Now, multiply 2

-45/100 x 2/2 and -46/100 x 2/2

-90/100 and - 92/100

Hence, the rational number is -91/100 or -0.91.

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ANSWER:

-4.1201

SOLUTION

this is also equivalent to

The solution set to the inequality, 4x + 12 ≤ -8, is determined as: A. x ≤ -5.

The solution set is the value of x that would make an inequality statement true. To find the value of x, solve as you would solve a normal equation.

Using the key to the given model in the diagram, we can write the inequality as follows:

On the left, we would have, 4x + 12.

On the right, we would have, -8.

The inequality would be expressed as:

4x + 12 ≤ -8

Solve for x

4x + 12 - 12 ≤ -8 - 12 [subtraction property of equality]

4x ≤ -20

4x/4 ≤ -20/4

x ≤ -5

The solution set is: A. x ≤ -5.

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a The value of (2.3 × 10⁴) × (1.5 × 10^-2) is 3.45 × 10^2

b. The value of (3.6 × 10^-5) ÷ (1.8 × 10^2) is 2 × 10^-3. This illustrates the concept of standard form.

The standard form is simply used in Mathematics to illustrate the numbers that are either too large or too small.

It's important to note that the multiplication of exponents is an addition and the division of the power is subtraction.

Therefore, (2.3 × 10⁴) × (1.5 × 10^-2) will be:

= (2.3 × 1.5) × (10^(4-2)

= 3.45 × 10^2

Also, (3.6 × 10^-5) ÷ (1.8 × 10^2) will be:

= (3.6 ÷ 1.8) × 10^(-5 + 2)

= 2 × 10^-3.

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We have to find the value of x for which f(x) has a minimum.

Extreme values of f(x), like minimum or maximum values, correspond to values of its derivative equal to 0.

In this case f'(x) = 0 for x = -2 and x = 0.

We can find if this extreme value is a minimum if the second derivative f''(x) is greater than 0.

In this case, f'(x) = 0 and f''(x) > 1 for x = 0.

Then, x = 0 is a local minimum.

Answer: x = 0

Simplify: (4x + 3) -2(4x - 7) - 3(x +7)

Explanation:

Final answer: -7x-4 is required simplify form .

To calculate the distance between two points on the coordinate system you have to use the following formula:

Where

d represents the distance between both points.

(x₁,y₁) are the coordinates of one of the points.

(x₂,y₂) are the coordinates of the second point.

To determine the length of CD, the first step is to determine the coordinates of both endpoints from the graph

C(2,-1)

D(-1,-2)

Replace the coordinates on the formula using C(2,-1) as (x₁,y₁) and D(-1,-2) as (x₂,y₂)

The length of CD is √10 units ≈ 3.16 units

Inga should use the first option that is [tex]2(x^2+6x+9)=3+18[/tex] to solve the quadratic equation.

Given equation:-

[tex]2x^2+12x-3=0[/tex]

We have to find which one of the given options are needed to solve the quadratic equation.

The given quadratic equation can be rewritten as:-

[tex]2x^2+12x[/tex]-3+3=0+3

[tex]\\2x^2+12x[/tex]-3 + 3 + 18=0 +3 +18

[tex]2x^2[/tex] + 12x + 18 = 0 + 3 + 18

Hence, the answer is the first option.

Quadratic equation

Quadratic equations are the polynomial equations of degree 2 in one variable of type [tex]f(x) = ax^2 + bx + c = 0[/tex]where a, b, c, ∈ R and a ≠ 0. It is the general form of a quadratic equation where ‘a’ is called the leading coefficient and ‘c’ is called the absolute term of f (x). The values of x satisfying the quadratic equation are the roots of the quadratic equation (α, β).

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Given that the capacity of George's gas tank is 12 gallons and her car uses 2 gallons of gas for every hour driven.

slope m is negative since the gas is reducing every hour.

Writing the equation for G, in terms of t, representing the number of gallons of gas remaining in George's gas tank after t hours of driving.​

The equation for G is;

Calculating the number of gallons remaining in the tank after 0,1,2 and 3 hours, we have;

Completing the table, we have;

According to the information given in the exercise, the bill before the tax and tip was $13.90 and the sales tax of 6% was added to that amount.

By definition, you can write 6% as a Decimal number by dividing it by 100. Then, this is:

Let be "t" the amount (in dollars) of the sales tax.

To find the value of "t", you can set up the following equation:

Finally, evaluating, you get that this is:

Rounded to the nearest cent, this is:

The answer is: $0.83

We can write a system of equations that describe our problem.

Since we don't know how the original $100,000 was divided, we call the two parts X and Y

So we know that X + Y = 100000

Then we know the Combined Interest coming from the accounts.

We use the Interest formula for return on investment:

I = P * r * t

were P is the principal, r is the percent rate (in decimal form), and t is the number of years (in our case 1)

Then the interest from the 3% account (let's call it I1) (if X amount of money was deposited there) is:

I1 = X * 0.03 * 1 = 0.03 X

Similarly, the interest I2 coming from the 1% account (if Y amount of money was deposited there) is given by:

I2 = Y * 0.01 * 1 = 0.01 Y

Then, the addition of these two interest is our total return of $1800:

0.03 X + 0.01 Y = 1800

Then our system of equations is:

X + Y = 100000

0.03 X + 0.01 Y = 1800

which we solve by substituting for example for Y in the first equation:

Y = 100000 - X

and replacing the Y by this expression in our second equation:

0.03 X + 0.01 (100000 - X) = 1800

use distributive property to eliminate parenthesis:

0.03 X + 1000 - 0.01 X = 1800

combine like terms

0.02 X + 1000 = 1800

subtract 1000 from both sides

0.02 X = 800

divide both sides by 0.02 to completely isolate X:

X = 800 / 0.02

X = $40000

This is the amount deposited on the 3% account

Then we easily calculate the amount deposited in the other account by replacing x with $40000 in the equation we use for substitution:

Y = $100000 - $40000 = $60000

Then, the amount deposited in the 1% account was $60000

and the amount deposited in the 3% account was $40000.

The given inequality is:

2 (x - 1

SOLUTION

Given the question, the following are the solution steps to answer the question.

STEP 1: Write the formula for probability

STEP 2: Write the outcomes of the events

STEP 3: Write the formula for getting the probability that all three marbles drawn will be red

STEP 4: Calculate the probability

Hence, the probability, to the nearest 10th of a percent, that all three marbles drawn will be red is 4.2%