4. Find the amount and the present value of an annuity due of P950 every quarter for 6years and 6 months, if money is worth 5% compounded quarterly.The formula is attached

Answer:

---------------------

Formula for area of a rectangle with dimensions l and w is:

Substitute 10 for l and 4 for w:

The statement, For every point on the graph of f(x), there is a point on the graph of F⁻¹(x) with reversed coordinates is false.

In relation to the original function f, the inverse function is denoted by the symbol f⁻¹, and both the original function's domain and its range are transformed into the inverse function's domain and range, respectively. Swapping (x, y) with (y, x) with reference to the line y = x yields the graph of the inverse function.

We know that inverse of function is NOT the reciprocal of f. The composition of the function f and the reciprocal function f inverse gives the domain value of x.

Hence, the statement, For every point on the graph of f(x), there is a point on the graph of F⁻¹(x) with reversed coordinates is false.

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Answer: x=12

Step-by-step explanation:

To solve the equation, we want to use inverse operations to solve for x. The inverse operations are add/subtract and multiply/divide. Be sure to use the corresponding inverse operations.

\(\frac{1}{4} x-1=2\)                    [add both sides by 1]

\(\frac{1}{4} x=3\)                           [multiply both sides by 4]

\(x=12\)

Therefore, we get x=12.

Answer:

About 10 i think

Step-by-step explanation:

idk

Answer: y=-8/5x+2

Step-by-step explanation:

The equation for slope-intercept form is y=mx+b. We know that m is the slope and b is the y-intercept. We can determine that b=2 because the y-intercept passes through the y-axis. This line passes through the y-axis at y=2. Now, all we have to do is find the slope. We can do that by using any two points on the graph. Let's use (-5,10) and (5,-6). The formula for slope is \(m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\).

\(m=\frac{-6-10}{5-(-5)} =\frac{-16}{10} =-\frac{8}{5}\)

With our slope, we can piece together the slope-intercept form equation.

y=-8/5x+2

Answer:

The answer is 32

Step-by-step explanation:

The formula for finding the area of a trapezoid is:

         ((base 1 + base 2)/ 2 )* h

Now all you have to do is substitute the numbers in.

Note: bases will always be the ones like 12 and 4 in this case. We have just named then 1 and 2.

Answer:

32 square units

Step-by-step explanation:

\(\displaystyle A=\frac{1}{2}(b_1+b_2)h=\frac{1}{2}(12+4)(4)=\frac{1}{2}(16)(4)=\frac{1}{2}(64)=32\)

Note that \(b_1\) and \(b_2\) are the lengths of each base of the trapezoid, so it doesn't matter which is which.

Explanation:

The absolute change for time 1 can be calculated as

Absolute change = Value for time 1 - value for time 0

Absolute change = 17.00 - 13.60

Absolute change = 3.4

On the other hand, the relative change is calculated as

Relative change = Absolute change / Value for time 1 x 100%

Relative change = 3.4/17.00 x 100%

Relative change = 0.2 x 100%

Relative change = 20%

In the same way, we can calculate the absolute change and the relative change for each time as

For time 2

Absolute change = 21.25 - 17.00

Absolute change = 4.25

Relative change = 4.25/21.25 x 100%

Relative change = 20%

For time 3

Absolute change = 26.56 - 21.25

Absolute change = 5.31

Relative change = 5.31/26.56 x 100%

Relative change = 20%

For time 4

Absolute change = 33.20 - 26.56

Absolute change = 6.64

Relative change = 6.64/33.20 x 100%

Relative change = 20%

For time 5

Absolute change = 41.50 - 33.20

Absolute change = 8.3

Relative change = 8.3/41.50 x 100%

Relative change = 20%

Answer:

Therefore, the complete table is:

Answer: 348 girls so somewhere around 80 percent

Step-by-step explanation:

La fórmula de interés simple, nos permite calcular I, que es el interés ganado o pagado de un préstamo. Según esta fórmula, la cantidad de interés está dada por I = C·i·t, donde C es el capital, i es la tasa de interés anual en forma decimal, y t es el período de tiempo expresado en años Tenemos que:

C = 700 dólares

i  = ???

t = 90/360 = 0.25 (Expresado en años)

I = C*i * t

i = I / C*t

i = 63/ (0.25*700)

i = 0.36

R/ Debe elegir una tasa de interés de 36% anual.

The interest on the amount invested for 90days given $63 as interest is 36.5%

Simple interest is the amount of money added to money invested. It is calculated as:

\(SI = \frac{PRT}{100}\)

P is the amount invested (principal) = $700

R is the rate

T is the time (in years) = 90/365

SI is the interest = $63

Substitute the given values into the formula

\(63=\frac{700 \times R \times 90}{365 \times 100}\\63=\frac{63000R}{36500}\\63= 1.72602R\\R=36.5\%\)

This shows that the interest on the amount invested for 90days given $63 as interest is 36.5%

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Answer:

y ≥ 8

Explanation:

Note that if f(x) is transformed into f(x + a) - b

The original functions is shifted a units to the left and b units downward.

Horizontal shifting will not affect the range of the function, only vertical shifting will change its range.

From the given, g(x) is the transformation of f(x) with

f(x) is shifted 2 units to the left and 3 units downward, we will disregard the horizontal shifting.

Since f(x) has a range of y ≥ 11, and g(x) is 3 units downward, the range will also move 3 units downward.

y ≥ 11 - 3

The answer is y ≥ 8

Answer:

Step-by-step explanation:

Alberto was in the shelter with his friends for four days how many Ligias were they?

The steps which you would take to determine if these figures are similar include the following:

2. Multiply the vertices of polygon ABCD by 1/2.

5. Reflect the intermediate image.

In Mathematics and Geometry, a dilation is a type of transformation which typically transforms the dimension (size) or side lengths of a geometric object, without affecting its shape.

Therefore, the dimension or side lengths of the dilated geometric object would be stretched or compressed (shrunk) depending on the scale factor that is applied.

By critically observing the graph representing polygon ABCD, we can logically deduce that a sequence of transformations that would polygon ABCD (pre-image) onto polygon A"B"C"D" (image) is a dilation by a scale factor of 1/2 and a reflection of intermediate image.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

26?

Step-by-step explanation

because they are vertical? (i think the word) they are equal so set them equal to each other then solve for x

Answer: D

Step-by-step explanation: 25.12

Answer: The actual answer is (175.84 square inches)

Step-by-step explanation:

First, find the area of the pizza.

You need to use the formula for area of a circle: A = πr^2

or in words, the area of a circle is equal to pi times radius to the second power.

So find the radius which is half the diameter.

The diameter is 16 inches, so the radius is 8 inches.

Now raise 8 to the second power, meaning that you need to times 8 by 8

(8 * 8 = 64) Now you times 64 by pi or 3.14. (64 * 3.14 = 200.96)

That is the area of the entire pizza.

But you still need to find how many square inches are left after 1/8 is eaten.

If 1/8 is eaten, then that means the pizza is divided into eighths.

Take 200.96 and divided that by 8 to find how much the individual pieces are.

200.96/8 = 25.12

But you need to find what is left is the pizza, so times 25.12 by 7 because that is how many pieces are left. 25.12 * 7 = 175.84

Sorry for the long explanation, but here is proof that the answer is correct. I took the same test and got the answer right

Here is a photo from my test:

Have a good day

Answer:

-30

Step-by-step explanation:

the order of multiplication doesn't matter

a*b*c = 5*-2*3 = -30

Answer:

\(\large\boxed{\tt x = 23^{\circ}}\)

Step-by-step explanation:

\(\textsf{We are given 2 \underline{Linear Pairs}. We are asked to form an equation, and to solve for x.}\)

\(\large\underline{\textsf{What are Linear Pairs?}}\)

\(\textsf{Linear Pairs are 2 Adjacent Angles that form a 180}^{\circ} \ \textsf{angle, or add up to 180}^{\circ}.\)

\(\textsf{For our problem, these 2 angles given to us are Linear Pairs, which equal 180}^{\circ}\)

\(\textsf{when added together. Let's create an equation to find x.}\)

\(\large\boxed{\tt 180^{\circ}=93^{\circ} + (3x+18)^{\circ}}\)

\(\textsf{Now, let's solve for x by using the \underline{Properties of Equality}.}\)

\(\large\underline{\textsf{What are the Properties of Equality?}}\)

\(\textsf{The Properties of Equality are Properties that allow us to manipulate equations.}\)

\(\textsf{There are 9 properties of equality that we can use, each allowing us to simplify}\)

\(\textsf{one side of an equation. These properties are mainly used to find missing variables.}\)

\(\textsf{Let's solve for x by using the Properties of Equality.}\)

\(\large\underline{\textsf{Solving for x;}}\)

\(\tt 180^{\circ} = 93^{\circ} + 3x^{\circ}+18^{\circ}.\)

\(\textsf{Let's first Combine Like Terms.}\)

\(\tt 180^{\circ} = \boxed{\tt 93^{\circ}} + 3x^{\circ}+\boxed{\tt 18^{\circ}}\)

\(\tt 180^{\circ} = 111^{\circ} + 3x^{\circ}\)

\(\textsf{Now, let's use the Subtraction Property of Equality which states that if 2 same}\)

\(\textsf{numbers are subtracted from both sides of the equation, then both expressions}\)

\(\textsf{still equal each other. Let's subtract 111 from both sides of the equation.}\)

\(\tt 180^{\circ} - 111^{\circ} = 111^{\circ} - 111^{\circ} + 3x^{\circ}\)

\(\tt 69^{\circ} = 3x^{\circ}\)

\(\textsf{Let's use the Division Property of Equality, which is similar to subtraction but it's}\)

\(\textsf{for division. Divide each side of the equation by 3.}\)

\(\tt \frac{69^{\circ}}{3} = \frac{3x^{\circ}}{3}\)

\(\large\boxed{\tt x = 23^{\circ}}\)

The solution is, radius: 23 inches.

Arc length formula is used to calculate the measure of the distance along the curved line making up the arc (a segment of a circle). In simple words, the distance that runs through the curved line of the circle making up the arc is known as the arc length.

here, we have,

Formula: ∅r = arc length

Here the ∅ is 2 rads and arc length is 46 inches.

using the formula:

2*r = 46

r = 23 inches

The solution is, radius: 23 inches.

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Answer:

4b - 5

is the answer

Answer:

Step-by-step explanation:

Set up an equation:

7x + 10x + 13x = 100000 and solve for x:

30x = 100000 so

x = 3333.33

Anna gets 7(3333.33) = 23333.31

Louise gets 10(3333.33) = 33333.33

Lacey gets 13(3333.33) = 43333.29

Answer:

Can you show a screenshot of the problem

Answer:

21

Step-by-step explanation:

A local hospital recently conducted a blood drive where they collected a total of 56 pints of blood from donors. The hospital was hoping to collect a total of 6 gallons of blood from the drive.

Answer: B

Step-by-step explanation:

I got it on Aprx

The 3 feet side and 4 feet side with a right angle between them. Then the 5 feet side will fit to form a right-angle triangle. Then the correct option is B.

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

Pythagorean theorem using side links chosen from 3 feet, 4 feet, 5 feet in 6 feet.

Then

5² = 3² + 4²

25 = 9 + 16

25 = 25

The 3 feet side and 4 feet side with a right angle between them. Then the 5 feet side will fit to form a right-angle triangle.

Then the correct option is B.

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Answer:

\(\frac{1}{12}\) probability of getting a head on the coin and the number 2 on the die

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Independent events:

If two events, A and B are independent, the probability of both events happening is the multiplication of the probabilities of each event happening, that is:

\(P(A \cap B) = P(A)P(B)\)

Probability of getting a head on the coin:

Head or tails, fair coin, so:

\(P(A) = \frac{1}{2}\)

Probability of getting the number 2 on the die:

6 numbers, one of which is 2, so:

\(P(B) = \frac{1}{6}\)

What is the probability of getting a head on the coin and the number 2 on the die?

\(P(A \cap B) = P(A)P(B) = \frac{1}{2} \times \frac{1}{6} = \frac{1}{12}\)

\(\frac{1}{12}\) probability of getting a head on the coin and the number 2 on the die

Answer:

0.9(13)-1.5(3)=7.2

Step-by-step explanation:

You just have to insert the two number you are given into the places where the letters are and the use multiplication to find the answer.

Answer:

c

Step-by-step explanation:

cheese is rotten milk

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

I'll use x in place of θ

Let's isolate the sine term and then square both sides

3sin(x) + 4cos(x) = 5

3sin(x) = 5-4cos(x)

(3sin(x))^2 = ( 5-4cos(x) )^2

9sin^2(x) = 25-40cos(x)+16cos^2(x)

9sin^2(x) = 25-40cos(x)+16(1-sin^2(x))

9sin^2(x) = 25-40cos(x)+16-16sin^2(x)

9sin^2(x)+16sin^2(x) = 25-40cos(x)+16

25sin^2(x) = 41-40cos(x)

25(1-cos^2(x)) = 41-40cos(x)

25-25cos^2(x) = 41-40cos(x)

Now let w = cos(x), so we now have the following

25-25w^2 = 41-40w

25w^2-40w+41-25 = 0

25w^2-40w+16 = 0

(5w - 4)^2 = 0

5w-4 = 0

w = 4/5

Therefore cos(x) = 4/5

Use the pythagorean theorem or unit circle to find that if cos(x) = 4/5, then it leads to sin(x) = 3/5. This is exactly because of the 3-4-5 right triangle.

Then lastly,

tan(x) = sin(x)/cos(x)

tan(x) = sin(x)  ÷  cos(x)

tan(x) = (3/5)  ÷  (4/5)

tan(x) = (3/5)  *  (5/4)

tan(x) = (3*5)/(5*4)

tan(x) = 3/4