a) Write the three equations using three ordered pairs.EQ1:EQ2:EQ3:B) Write the linear system:C) Solve the system using substitution and then elimination. Show all work andsteps:

Answer: After about 30 seconds of consideration I am proud to say that the answer is probably 1

:)

The principals of each account are given as follows:

The account that earned the most interest in the first month was Account A.

The balance of an account after t years, using simple interest, that is, a single compounding per year, is given by the equation presented as follows:

A(t) = P(1 + rt).

In which the parameters of the equation are explained as follows:

The interest accrued after t years is given as follows:

I(t) = Prt.

For Account​ A, the simple interest earned after 9 months is ​$6.94, considering a rate of 3.7%, hence the principal is obtained as follows:

6.94 = P x 0.037 x 9/12 (as the time is given in years)

0.02775P = 6.94

P = 6.94/0.02775

P = $250.

Then the interest during the first month was of:

I(1/12) = 250 x 0.037 x 1/12 = $0.77.

For the second account, considering the parameters, the principal is obtained as follows:

13.80 = P x 0.023 x 18/12

0.0345P = 13.80

P = 13.80/0.0345

P = $400.

Then the interest during the first month was of:

I(1/12) = 400 x 0.023 x 1/12 = $0.767. (which is less than account A).

The problem is:

"You have 2 different savings accounts. For Account​ A, the simple interest earned after 9 months is ​$6.94. For Account​ B, the simple interest earned after 18 months is ​$13.80. If the interest rate is 3.7​% for Account A and 2.3​% for Account​ B, how much is the principal in each​ account? Which account earned you the most interest the first​ month? Explain your answer."

More can be learned about simple interest at https://brainly.com/question/20690803

#SPJ1

The correct answer is Never

Step-by-step explanation:

well its going to be like this

80%/100 and 40/x

now to find the x you have to do cross products.

so 80% times 40

3200

the divide it by 100.

32

there you go

32 percent of 80 is 40

ANSWER

FALSE

EXPLANATION

A dilation is a transformation that changes the size of an object. It could be an enlargement or a reduction.

The center of dilation is the point where the dilation rays come from. They pass through the original point as shown in the diagram below:

As we can see, point O is the center of dilation, point B is an image of point A and the ray that connects them is OB.

So, the center of dilation, the original point and its image actually line up on the same ray.

The statement is FALSE

-36 is the solution to the given equation

Here, we want to find the value of n that solves the equation

We simply cross-multiply here

We have;

Answer:

Step-by-step explanation:

1. The answer is -36 because -36/3=12.

Given:

The significant figures in 77.09 m are 4 because all the digits are necessary to denote the quantity.

Hence, 4 is the number of significant figures expressed in integer.

Okay, here we have this:

Considering the provided information, we are going to calculate the requested population, so we obtain the following:

Let us remember that we are talking about linear growth, therefore we will solve for the following formula:

Now, let's calculate the population after one year:

Finally we obtain that after one year the population will be 42500.

To find the midpoint between two points wee need to apply the following formula:

Where (x1,y1) are the coordinates of the first point, (x2,y2) are the coordinates of the second point and (xm,ym) are the coordinates of the mid point. In this case the first point is T and the second point is J. If we apply the formula we should find the coordinates of the midpoint between them.

The coordinates of the midpoint are (-3.5, 3.5).

the expression

represents the amount of snacks Han ate.

Given:

ground to building top is 30 degrees.

Distance = 400 feet

The angle of elevation at is top of the building = 52 degrees.

Find-: Height of the building.

Sol:

For the triangle ABC

Perpendicular = Height

Base = x

Angle = 52

Use trigonometric formula:

For the triangle ABD is:

Perpendicular = Height

Base = x+400

Angle = 32

Put the value of "x" is:

So the height of the building is: 488.407 feet

Answer:

x² + 49 = 0

Explanation:

An equation with the form (x - a)(x - b)= 0 has as a solutions x = a and x = b.

In this case, the solutions are x = 7i and x = -7i, so the equation will be:

(x - 7i)(x - (-7i)) = 0

(x - 7i)(x + 7i) = 0

Now, we need to apply the distributive property, so:

x(x) + x(7i) - 7i(x) - 7i(7i) = 0

x² + 7xi - 7xi - 49i² = 0

x² - 49i² = 0

Since, i² = -1, we get:

x² - 49(-1) = 0

x² + 49 = 0

Therefore, the quadratic equation in standard form is:

x² + 49 = 0

This is the standard form of the given quadratic equation is [tex]x^{2} +49=0[/tex]

Quadratic Equation-It is a type of equation in which the maximum power a variable can hold is 2 and the variable cannot be 0

The solution of the given equation are x=7i and x=-7i

we can write the equation as (x-7i)(x-(-7i))=0

as (An equation in the form of (x-a)(x-b)=0 is having x=a and x=b as their solution)

(x-7i)(x+7i)=0

According to the distributive property

(Distributive property-It states that A(B+C)=AB+AC)

x(x)+x(7i)-7i(x)-7i(7i)=0

[tex]x^{2}[/tex]+7xi-7xi-49[tex]i^{2}[/tex]=0

[tex]x^{2}[/tex]-49[tex]i^{2}[/tex]  =0

since,([tex]i^{2}[/tex]=-1),we get:

[tex]x^{2}[/tex]+49=0

hence, the quadratic equation in standard form is

[tex]x^{2}[/tex]+49=0

To learn more about Quadratic Equation

https://brainly.com/question/30098550

An equilateral triangle is one that has three equal sides, therefore it is more importante than with the rule to create 3 sides of the same length.

it is given that total miles travelled by tine are 9644 miles in the four trips.

now we calculate the distance travelled in one trip by tina,

so tina travels 2411 miles in one trip.

Take the inverse cosine of both sides:

Answer:

33.726

Question:

Solution:

By definition of composition of functions, we have that:

Now, according to the table, if we evaluate above in x=3, we get:

so that, we can conclude that the correct answer is:

we must add all the garments that are not gloves and divide them by the total

we add 15 coats, 38 scarves and 20 hats

and divide by the total

so, the right option is B

Option 5 is the correct answerr.

That is, all real numbers

The linear equation that models the cost as a function of the number of hours is:

y = 40*x + 20

We know that a repair that takes two hours costs $100 and a repair that takes 6 hours costs $260.

Let's assume this is a linear equation, then:

A general linear equation is written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If the line passes through two points (x1, y1) and (x2, y2), then the slope is:

slope = (y2 - y1)/(x2 - x1)

Here we have the two points (2, 100) and (6, 260), then the slope is:

a = (260 - 100)/(6 - 2) = 160/4 = 40

So our line is something like:

y = 40*x +b

To find the value of b we use the fact that our line passes trhough (2, 100), then:

100 = 40*2 + b

100 - 80 = b

20  = b

Then the linear equation is:

y = 40*x + b

Learn more about linear equations:

https://brainly.com/question/1884491

#SPJ1

From the graph, it can be observed that number of hurricanes decreases as well as increases with increase in time (year since 1970). All points are distributed over the graph. So specific relation between number of hurricanes and time (year since 1970) can not be determined.

Thus option C is correct.

ANSWER

4, 12, 13

EXPLANATION

The sum of any 2 sides of a triangle must be greater than the measure of the third side.

For these options we have to check which set of numbers follow this rule:

The third set of numbers could represent the three sides of a triangle

We solve as follows:

So, the solution is h. -2

Given the expression:

(-2 - 4i) + (1 + 6i)

Let's simplify the expression.

To simplify the expression, let's combine the real and imaginary parts.

• Remove the parentheses:

• Combine the like terms:

ANSWER:

Answer:

Step-by-step explanation:

The vector in component form is given as:

Therefore, if the vector <9,4> has initial point at (-3, 2), to find the terminal point:

Solve for x2 and y2.

Terminal point (a,b) would be (6,6), hence the value of a+2b:

Given data:

The first condition is AB=XY.

The second condition is BC=YZ.

The third condition is ∠B=∠Y.

Follow the above condition then, triangle ABC is congruent to the triangle XYZ by SAS.

Thus, the first statement is true.

Using the markup, the price of the microscope at the store is 528 dollars.

Markup shows how much more a company's selling price is than the amount the item costs the company.

In other words, markup is the amount by which the cost of a product is increased in order to derive the selling price.

Therefore, the store sells A store sells a $400 microscope after a markup of 32%. The price of the microscope at the store can be calculated as follows:

markup = 32% of 400

markup = 32 / 100 × 400

markup = 12800 / 100

markup = $128

Therefore,

price of the microscope = 400 + 128

price of the microscope = $528

learn more on markup here: https://brainly.com/question/22105706

#SPJ1

The Solution.

The given polynomial is

Hence, the correct answer is

Notice how both lines intersect at 18 days. That means that at that point in time, both lines represent a value that is exactly the same.

Therefore, Frank and Erica will have the same to sell on Day 18

(Option J)