If ABCD is dilated by a factor of 1/2coordinate of d' would be

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."

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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.

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.

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.

The given expressions are

We have to use the coefficients only to divide. Remember that the number 2 must multiply all the numbers in the quotient. The synthetic division would be:

x3 x2 x

| 3 -1 -9 5

2 | 6 10 2

3 5 1 7

Notice that the remainder is 7, the quotient would be the coefficients under the line.

Notice that the quotient doesn't include the number 7 because that's the remainder.

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.

-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.

Figure 1 Area = 4 x 15 = 60 cm²

Figure 2 Area = 3 x 18 = 54 cm²

Figure 3 Area = 6 x 11 = 66 cm²

Figure 4 Area = 12 x 5 = 60 cm²

Answer:

Therefore area of figure 1 and 4 are equal

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

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

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

:)

The Solution.

The given polynomial is

Hence, the correct answer is

Remember that

And e^y can have any value in the interval (0, infinite).

Therefore, the domain of ln(x) is

The answer is x in (0, infinite)

Explanation:

Angle b and the one that's 70º are vertical angles, so they are congruent.

Angles b and g are corresponding angles. They are congruent.

Angles g and e are vertical angles. They are congruent.

Angles a and b are supplementary - their measures add up 180º:

Angles a and d are corresponding angles. They are congruent.

Angles c and a are vertical angles. They are congruent.

Angles d and f are vertical angles. They are congruent.

Answers:

• m∠a = 110º

• m∠b = 70º

• m∠c = 110º

• m∠d = 110º

• m∠e = 70º

• m∠f = 110º

• m∠g = 70º

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).

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

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

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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)

We solve as follows:

So, the solution is h. -2

A zebra and a giraffe are having a race, 300 yards from a row of trees (the starting line) to the edge of a stream (the finish line). When they start evenly, the zebra wins the race by 50 yards.

They decide to race again, but in the second race the zebra has to start 50 yards behind the row of trees (350 yards from the finish line), while the giraffe starts at the usual starting line. The zebra and the giraffe always run at the same speeds from race to race. Who wins the second race? Explain your reasoning.

we have that

The speed is equal to divide tthe distance by the time

speed=d/t

t=d/speed

The zebra and the giraffe always run at the same speeds from race to race.

so

Race 1

Zebra ------> t=300/speed1

giraffe ----> t=(300-50)/speed2 -----> t=250/speed2

where t is the finishing time of the zebra

equate both equations

300/speed1=250/speed2

300/250=speed1/speed2

1.2=speed1/speed2

speed1=1.2speed2

that means ----> the spped of the zebra is 1.2 times the speed of the giraffe

Race 2

Zebra ----> t1=350/(1.2speed2) ------> t1=292/speed2

Giraffe ----> t2=300/speed2 ------> t2=300/speed2

compare the times

t1 < t2

that means

Option 5 is the correct answerr.

That is, all real numbers

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

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Conversion from Degrees to Radians

One radian is equivalent to 180°

To convert from degrees to radians, we just multiply by the factor:

a) Convert 76 degrees to radians

b) Convert 124 degrees to radians

c) Convert 149 degrees to radians

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

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

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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:

Take the inverse cosine of both sides:

Answer:

33.726

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