I NEED HELP PLEASE!!!

Answer:  x = 2, y = -1

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The formula to calculate the total amount in her savings account after y years, with an interest of 7% is:

Where S is the inicial saving

Thereby, after 5 years and a total of $1000.00 in her account,

Therefore, Norma's initial deposit was $712.99

The mathematical expression that represent the statement is 5(x + 6)

From the question, we are to write the expression that represent the given statement

From the given information,

The statement is

"5 times the sum of a number plus 6"

Let the number be x

The sum of a number and 6 can be expressed mathematically as

x + 6

Thus,

5 times the sum of a number plus 6 is

5(x + 6)

Hence, the expression is 5(x + 6)

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Answer:

1 23/28

Step-by-step explanation:

turn both of your numbers into fractions: 17/3 and 28/9

to turn you equation into something that you can simplify, flip one of your fractions and that will turn the division sign into a multiplication sign:

17/3 x 9/28

you can simplify this by simplifying 9 to 3 and 3 to 1.

this means you now have 17 x 3/28

multiply 17 and 3 together since they are the numerators, you should get 51/28

now turn this into a mixed fraction: 1 23/28

After solving the quadratic equation, the roots are (x - 2) and (x + 7).

To determine values for various parameters, quadratic functions are employed in a variety of engineering and scientific disciplines. A parabola is used to graphically illustrate them.

The direction of the curve is determined by the highest degree coefficient. Quadratic is a derivative of the term quad, which signifies square.

As per the given equation in the question,

x² + 5x - 14 = 0

b² - 4ac

5² - 4(1)(-14)

25 + 56 = 81

Use the equation,

-b ± \(\sqrt{b^2-4ac}/2a\)

Substitute the values,

(-5 + 9)/2 = 2 and,

(-5 - 9)/2 = -7

Therefore, the root will be (x - 2) and (x + 7).

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The solutions of the equation of the graph is -4 and 2.

An placement of values to the uncertainties that establishes the equality in the equation is referred to as a solution. To put it another way, a solution is a value or set of values (one for each unknown) that, when used to replace the unknowns, cause the equation to equal itself. Particularly but not exclusively for polynomial equations, the solution of an equation is frequently referred to as the equation's root. An equation's solution set is the collection of all possible solutions.

We know that the solution of the equation is determined using the graph by obtaining the point of intersection of the equation.

In the given graph the point of intersection of the two equations are at x = -4 and x = 2.

Hence, the solutions of the equation of the graph is -4 and 2.

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The complete question is:

Answer:

The answer will be listed below.

Step-by-step explanation:

This equation is in y=mx+b form, so to graph this equation, take the y-intercept which would be 12. Go on your graph and make twelve on the y-axis (you can go by two's or even six's). Then take your slope which would be -6 and use rise of run which would be down 6, since it's negative, and to the right one. Keep repeating this process until you ran out of space. Draw a line between the points and you have graphed a line.

It will take 15 days for the hair to grow from 12mm to 16.5mm

By "average rate" in this context, we mean the typical or usual amount of hair growth per unit of time, which is often measured in millimeters per day. This rate can vary slightly depending on factors such as age, gender, genetics, diet, and overall health.

Let's first find out how much the hair needs to grow by subtracting its initial length (12mm) from its target length (16.5mm):

16.5mm - 12mm = 4.5mm

Now we can divide this growth by the average rate of hair growth to find the number of days it will take to grow this much:

4.5mm ÷ 0.3mm/day = 15 days

Therefore, it will take 15 days for the hair to grow from 12mm to 16.5mm.

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The algebric expression -1/4 + 3/5 is equal to 7/20 when simplified.

To solve the expression -1/4 + 3/5, we need to find a common denominator for the fractions and then perform the addition.

The common denominator for 4 and 5 is 20. We can rewrite the fractions with this denominator:

-1/4 = -5/20

3/5 = 12/20

Now that the fractions have the same denominator, we can add them:

-5/20 + 12/20 = (-5 + 12)/20 = 7/20

Therefore, -1/4 + 3/5 is equal to 7/20.

To further simplify the fraction, we can check if there is a common factor between the numerator and denominator. In this case, 7 and 20 have no common factors other than 1, so the fraction is already in its simplest form.

Thus, the final answer is 7/20.

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Answer:

there would be a 1-51 chance most likely

Step-by-step explanation:

Answer:

50 more days

Step-by-step explanation:

Answer:

4 need to join the club to remain same to grade 8th

Mark needs a ladder that is 13 feet long in order to reach the second floor windows of the building.

Length is a measurement of distance or space from one point to another. It is typically measured in units such as meters, feet, or inches. Length is a scalar quantity, meaning it has magnitude but no direction. Length is a fundamental property of physical objects and can be used to measure the size of an object or the distance between two points.

To properly calculate the ladder length Mark needs, we must use the Pythagorean Theorem. The Theorem states that for the triangle formed by the ladder and the building, the square of the hypotenuse (the ladder length) is equal to the sum of the squares of the other two sides. Therefore, the ladder length Mark needs is equal to the square root of the sum of the squares of 5 feet and 12 feet, which is equal to the square root of 169, or 13 feet. Therefore, Mark needs a ladder that is 13 feet long in order to reach the second floor windows of the building.

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Answer:

Yes, it is possible

Step-by-step explanation:

3.1.1

Answer:

Debits and credits are used to monitor incoming and outgoing money in your business account. In a simple system, a debit is money going out of the account, whereas a credit is money coming in. However, most businesses use a double-entry system for accounting. This can confuse inexperienced business owners, who see the same funds used as a credit in one area but a debit in the other.

Double-Entry Accounting

When you look at your business finances, there are two sides to every transaction. This means that the rent is one account with a balance due and the business checking is another account that pays the balance due. So the same money is flowing but is accounting for two items. The double-entry system creates a chart of accounts. These include items such as rent, vendors, utilities, payroll, and loans.

3.1.2

Fixed Debit or Fixed debt:

A fixed debt or installment loan is generally one in which a borrower makes regular payments, where the debt has a beginning date, an end date, a fixed interest rate, and a fixed monthly fee (most installment loans are paid monthly). In other words, they adhere to a set amortization schedule. The interest on these type of loans are generally not tax deductible like mortgage loans and therefore are considered consumer debt. While many fixed-rate mortgages are fixed debts we have separated them since fixed debts outside of mortgages are considered consumer debt.

Types of fixed debts:

Flexible Debit Card :

The flexible Debit card is highly favorable and the most popular transaction account. With the Flexi Debit card linked to several Postbank Savings and Investment Products, the Flexi Debit card offers you Transactional flexibility and freedom.

One can deposit your salary into the account and withdraw the money as and when needed. You can also use it for shopping instead of carrying cash.

Any type of debit card is a flexible debit card

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The rate of change in the total amount charged with respect to the time spent on the service call is $40 per hour.

The mathematical concept of rate of change describes how much one quantity changes in relation to another. It is calculated as the difference between the change in the output (the dependent variable) and the change in the input (independent variable).

The rate of change, in other words, informs us of how quickly or slowly something is changing through time or in relation to another variable. When tracking the distance an automobile travels over time, for instance, the rate of change would be the car's speed, which is calculated as the distance traveled divided by the time required.

Slope, which is the ratio of the vertical change (rise) to the horizontal change (run) between two points on a graph, is a common way to depict the rate of change. The rate of change of the dependent variable with respect to the independent variable is depicted by the slope of a straight-line graph.

The rate of change in the total amount charged with respect to the time spent on the service call represents the slope of the graph. We can find the slope of the graph by taking any two points on the line and calculating the change in y (total amount) divided by the change in x (time spent on the service call).

Looking at the graph, we can choose two points: (2, 130) and (8, 370). The change in y is:

370 - 130 = 240

And the change in x is:

8 - 2 = 6

Therefore, the slope (rate of change) of the graph is:

240/6 = 40

So the rate of change in the total amount charged with respect to the time spent on the service call is $40 per hour.

Therefore, the correct option is $40 per hour.

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To solve for x in the equation:

-3 (x - 6) + 4 (x + 1 ) = 7x - 8​

you can follow these steps:

1. apply the distributive property on the left side of the equation:

-3 *x -(-3)* 6 + 4 * x + 4 * 1 = 7x - 8

-3x + 18 + 4x + 4 = 7x - 8

2. Combine like terms:

-3x + 18 + 4x + 4 = 7x - 8

-3x +4x +18 +4 = 7x -8

x + 22 = 7x - 8

3. Subtract x on both sides of the equation:

x + 22 = 7x - 8

x + 22 - x = 7x - 8 - x

x - x + 22 = 7x - x -8

22 = 6x -8

4. add 8 on both sides of the equation:

22 = 6x -8

22 + 8 = 6x -8 + 8

30 = 6x

5. Divide both sides of the equation by 6:

30/6 = 6x/6

5 = x

x = 5

Then, x equals 5

Answer:

X=5

Step-by-step explanation:

3x+9 is twice of 12 (24). 24-9=15, and 3*5=15, so x=5.

Answer:

112

Step-by-step explanation:

H + 2H = 336

3 = 336/H

112=H

Step-by-step explanation:

Look at the points  (0,-3)  and  ( 3,0)

slope,  m = rise / run =   3 / 3 =  1  

Answer:

1

Step-by-step explanation:

y=x+3

Answer:

840.......Hai

Answer:

1,260÷1.5=840 here is your answer

Natalie's age = n

Fred's age = f

n + f = 43

4n + f = 88

f = 43 - n

4n + (43 - n) = 88

3n + 43 = 88

3n = 45

n = 15

f = 43 - n

f = 43 - 15

f = 28

Natalie is 15

Fred is 28

Hope this helps!

Answer:

P(A|B) = 1 / 6

Step-by-step explanation:

Assuming two fair sided dice with faces numbered 1 to 6.

By intuition, there can only be 6 possible outcomes, so probability is 1/6.

Illustration how to use conditional probability.

Given two events A, B, following is the equation of conditional probability

that A happens given B has already happened and observed.

P(A|B) = P( A intersect B ) / P(B)

In the given problem,

A = casting a double-six

B = casting a double

P(A) = (1 / 6) * (1 / 6) = 1/36

P(B) = (6/6) * (1/6) = 1/6

P(A|B) = 1/36 / (1/6) = 1/6

Answer:

Three given sides (SSS)

Answer:

mabe 2 don't take my word though

Answer:

\(\dfrac{dA}{dt}+ \dfrac{A}{100}=0\)

A(0) = 70  (i.e the pounds of salt dissolved into the tank)

Step-by-step explanation:

Given that:

a large mixing tank initially holds 400 gallons of water  in which 70 pounds of salt have been dissolved.

The rate at which pure water is pumped into the tank is 4 gal/min

After stirring; the pure water is then pumped out at the same rate.

The objective is to determine the differential equation  for the amount of salt A(t) in the tank at time t > 0. What is A(0)

Taking the differential of:

\(\dfrac{dA}{dt}=R_{in}-R_{out}\)     ---- (1)

where ;

\(R_{in\) = 0

\(R_{out} =\dfrac{A(t)}{400}*4\)

\(R_{out} =\dfrac{A}{100}\)

replacing them into (1) ; we have:

\(\dfrac{dA}{dt}=0 - \dfrac{A}{100}\)

\(\dfrac{dA}{dt}=- \dfrac{A}{100}\)

\(\dfrac{dA}{dt}+ \dfrac{A}{100}=0\)

A(0) = 70 (i.e the pounds of salt dissolved into the tank)

The differential equation for the amount of salt A(t) in the tank at time t > 0 is \(\frac{dA}{dt} + \frac{A}{100} = 0\)

A (0)= 70

Given that,

\(dA\div dt=R_{in}-R_{out}\)

Rin=0

\(R_{out}=A(t)\div 400 \times (4)\\\\ =A\div 100\)

so,

\(dA\div dt=R_{in}-R_{out}\\\\dA\div dt=0- A\div 100\)

So,

\(dA\div dt +A\div 100=0\)

A(0)=70

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Sources of variation, or components of the two-way ANOVA include two factors, each with two or more levels (groups), and collectively, factors are often referred to as the main effects in these types of ANOVA.

Analysis of variance is a set of statistical models and the estimation processes that go with them that are used to examine the differences between means. Ronald Fisher, a statistician, invented ANOVA. ANOVA is a statistical procedure that divides observed variance data into distinct components for use in further tests. For three or more sets of data, a one-way ANOVA is used to learn about the connection between the dependent and independent variables. ANOVA, which stands for Analysis of Variance, is a statistical test used to compare the means of multiple groups.

Here,

The sources of variation, or components of the two-way ANOVA, are two factors, each having two or more levels (groups), and factors are sometimes referred to as the main effects in these forms of ANOVA.

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Its dividing by -2

................................

Answer:

B. 60°

Step-by-step explanation:

minor arc KM = 2×30° = 60°

Answer:

Estimate the following (by rounding off to nearest hundred (a)6,941 (b)6,320 (c) 416 (d)126 (e)109 (f)202 (g) 146 (h)7,699 (I)8,311 (j)986

Step-by-step explanation: