Find the compound amount and interest if Php. 400,000 is invested at 8 %, compounded quarterly for 5 years and 6 months?

Answers

Answer 1

Answer:

618 391 .87

Step-by-step explanation:

5 years 6 months = 22 quarters

8% = .08      .08/4 = .02 interest per period

400 000 ( 1 + .02)^22 = 618 391.87


Related Questions

can you please help?

Answers

(-3,4) (-1,4) (-3,7) are the co ordinates

Length of the side of regular hexagon is a. The sum of all diagonals is:​

Answers

Answer:

6a

Step-by-step explanation:

hexagon has 6 sides(im pretty sure lol), and 1 side is a. so 6 sides must be 6a

Please help, I'm not understanding this, I will give brainliest to the person who helps answer and maybe explain :)


the best way to put the solution is to say
1 to 3/5 * 5/9 to 1/3 or something like that, that was just an example ​

Answers

Step-by-step explanation:

all the tasks are the same type and have the same way of solution.

Example №1:
9[girls] + 11[boys]=20 persons. Then the probability to choose the first boy is: 11/20. After this choice, 9[girls]+10[boys]=19 persons. Then the probability to choose the 2-d boy is: 10/19. The final required probability is: 11/20 * 10/19 = 11/38.

P.S. all the details are in the attachment.

P.P.S. the suggetsted way is not the only one.

what is 56x3/4
please help

Answers

Answer:

40 1/2 or 40.5

Step-by-step explanation:

i used a calculator

You ride your bike north for 100 m at a constant speed of 5 m/Your acceleration is ?

Answers

given:

100 m at a constant speed of 5.

to find:

the acceleration.

solution:

[tex]a = \frac{v - u}{t} [/tex]

[tex]a = \frac{100 - 100}{5} [/tex]

[tex]a = 0.00m | {s}^{2} [/tex]

Estimate the difference of the decimals below by rounding to the nearest
whole number. Enter your answer in the space provided.

53.042
-3.350
————

Answers

Answer:

50

Step-by-step explanation:

53.042 -3.350 = 49.692---> 50

Answer:

50

Step-by-step explanation:

53.042 rounds down to 53

3.350 rounds down to 3

53

- 3

___

50

checking work:

53.042

- 3.350

————

49.692 (work below) which rounds up to 50

matches !

Can Wendell make a triangular garden using pieces D, E, and F? Why or why not?

Answers

If the sides of the triangle are given. Then Wendell can make a triangular garden using pieces D, E, and F.

What is the construction of the triangle?

The process of making a triangle is known as the construction of the triangle.

Wendell makes a triangular garden using pieces D, E, and F.

Where D, E, and F may be a side of the triangle or angle of the triangle.

To make a triangle we need at least one side of the triangle.

If all the angles of the triangle is given then we can not make a triangle because the side of the triangle is unknown.

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Answer:

If the sides of the triangle are given. Then Wendell can make a triangular garden using pieces D, E, and F. 

Step-by-step explanation:

Graph: f(x) = |x – 2| – 4

Step 1: Identify the translation. The parent absolute value function is translated 2 units. and 4 units

Step 2: The vertex of the parent is (0, 0). Plot the vertex of the translated function two units to the right and four units down from (0, 0).

Step 3: Evaluate the function at one more point to the left of the vertex.
f(1) =

Step 4: Use symmetry to find another point. Another point is

Step 5: Plot the points (1, -3) and (3, -3).

Step 6: The straight lines through these points show the graph of the function
__________________
Step 1: to the right; down
Step 3: -3
Step 4: (3,-3)​

Answers

This function shows a translation of a function f(x) = x, 2 units to the right and 4 units down.

Graphing modulus function

Modulus of a function are positive value of a function. Given the modulus expression as shown

f(x) = |x – 2| – 4

This function shows a translation of a function f(x) = x, 2 units to the right and 4 units down.

The resulting graph of the function is as shown below;

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Find S20 given

a,=3 and d=-5

Answers

Step-by-step explanation:

Sn=n(2a+(n-1)d)

2

S20=20(2x3+(20-1)x-5)

2

S20=10(6+19x-5)

S20= 10(6-95)

S20=10x-89

S20=-890

Hope this helps you

Have a nice day

Select True or False, for each statement.
1. Angle C has the same measure as angle C'.

2. Side CF is shorter than side C'F.

3. Trapezoid CDEF and trapezoid C'D'E'F' have the same perimeter.
true or false?

Answers

1. Is false
2 is true
3 is false

Find the number...
3/8 of it is 24

Answers

I believe the answer is 9.
if we wanted to find out what 3/8 of 24 is, we would divide 24 by 8 (the denominator of the fraction). We would now multiply this result by 1 (the numerator of the fraction). So, 3/8 of 24 is 9
So it will be 9

Sketch a graph of the polynomial function f(x) =x^3+4x^2+3x. Use it to complete the following:
f is on the intervals (-00, -3) and (-1,0).
f is on the intervals (-00, -2 and (-0,5, 00).

Answers

The value of the function is zero at negative 3, negative 1, and zero. And the graph of the function is given below.

What is a function?

A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.

Sketch a graph of the polynomial function given below.

[tex]\rm f(x) =x^3+4x^2+3x[/tex]

Use it to complete the following:

Then the factor of the polynomial will be

f(x) = x³ + 4x² + 3x

f(x) = x(x² + 4x + 3)

f(x) = x(x² + 3x + x + 3)

f(x) = (x)(x + 3)(x + 1)

The graph of the function is given below.

Then the value of the function is positive in the interval of (-3, -1) and the value of the function is negative in the interval of (-1, 0)

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You want to obtain a sample to estimate a population proportion. Based on previous evidence, you believe the population proportion is approximately p = 0.11. You would like to be 96% confident that your esimate is within 5% of the true population proportion. How large of a sample size is required?

Answers

large of a sample size is required=165

what is z value in statistics?

The Z-value is a test statistic for Z-tests that measures the difference between an observed statistic and its hypothesized population parameter in units of the standard deviation

Using the formula:

large of a sample size is required=(Z∝[tex]I_{2}[/tex]/E)²* P(1-P)

According to the given data

E= margin of error= 5%=0.05

96% confident that your estimate is within 5% of the true population proportion,

Therefore, level of significance

=1-0.96

=0.04.

Z value for the 96% confident is 2.05, therefore, Z∝I2=2.05

Therefore, large of a sample size is required=(2.05/0.05)²* (0.11)(1-0.11)

=1681*0.0979

=164.5699

=165

Hence, large of a sample size is required=165

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Solve equation
-8n+7(8+3n)=-16+4n

Answers

Answer:

-8

Step-by-step explanation:

Solve equation

-8n + 7 * (8 + 3n)= -16 + 4n

-8n + 56 + 21n = -16 + 4n

13n + 56 = -16 - 56

13n -4n = -16 - 56

9n = -72

n = -72 : 9

n = -8

The area of a rectangular piano is 5 5/8 square yards, it's length is 1 1/2 yards. what's the patios width in yards.
pls show work ​

Answers

Answer:

3 3/4 yards

Step-by-step explanation:

The area of a rectangle can be found by multiplying length * width. Since we have the area of the patio and the length, all we need to do to find the width is divide 5 5/8 (area) / 1 1/2 (length) =3 3/4 yards (width).

To check if this is correct, we can solve 1 1/2 * 3 3/4 = 5 5/8 yards.

Hope this helps!

PLEASE HELP!!!!!! IMA DESPRATE!!!!!!
Identify the correct graph for the given quadratic function.
f(x) = x2 − 1

Answers

The graph of y = x^2 - 1 has a vertex at (0,-1) and open upwards and it is represented by the graph 1

How to determine the graph of the function?

The equation is given as:

y = x^2 - 1

Express as a vertex function

y = (x - 0)^2 - 1

The above means that the function has a vertex of (0,-1) and it opens upward

The graph that has a vertex at (0,-1) and open upwards is the graph 1

Hence, the graph of y = x^2 - 1 is (a)

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What value of x makes the equation 5 = ºx + 3 true?
Vx ?
3
=

Answers

Answer:

  122

Step-by-step explanation:

To solve for x, undo the operations done to it.

__

  5 = ∛(x +3) . . . . . given

  125 = x +3 . . . . . cube both sides of the equation

  122 = x . . . . . . . . subtract 3


Find the value of x in the triangle.

Answers

Answer:

Step-by-step explanation:

x + x + 90 = 180

2x + 90 = 180

2x = 90

x = 45

Thomas is taking out a business loan of $20,000 over 5 years. He is given an APR of 6.12% he would like his monthly payments to not exceed $350 a month. Looking at the first few rows of the amortization table below, will his monthly payment be below $350 ? How much over/ under will hi actual payments be from his goal of $350? How much over/ under will his actual payments be from his goal of $350 per month?

Answers

1. Thomas' monthly payment for the loan exceeds $350.

2. An excess monthly payment of $37.77 exists.

3. Thus, the actual monthly payment is $387.77.

What is interest?

The interest is the finance charge for the loan, representing the cost of the time value of money.

The interest and the monthly payments can be calculated using an online finance calculator as follows:

Data and Calculations:

Business Loan = $20,000

Down Payment = 0%

Loan Term = 5 years or 60 months (5 x 12)

Interest Rate = 6.12%

 

Monthly Mortgage Payment = $387.77

Total of 60 Mortgage Payments = $23,266.38 ($387.77 x 60)

Total Interest = $3,266.38

Thus, Thomas' actual monthly payment is $387.77.

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If 15% of 200 apples are bad, how many apples are bad?

Answers

given:

apples= 200

bad apples= 15%

to find:

how many apples are bad.

solution:

[tex] 200 \times \frac{15}{100} [/tex]

[tex] = 30[/tex]

therefore, there are 30 bad apples.

Evaluate the following equations

Answers

Step-by-step explanation:

A....

Solution ,

[tex] = \frac{h - 3}{3} = 3h \\ [/tex]

[tex] = h - 3 = 9h[/tex]

[tex] = h - 3 - 9h = 0[/tex]

[tex] = h - 9h = 3[/tex]

[tex] = - 8h = 3[/tex]

Change the sign of both side

[tex] = 8h = - 3[/tex]

[tex] = h = - \frac{3}{8 } \\ [/tex]

B....

Solution,

[tex] = \frac{t}{2} = \frac{t + 1}{5} \\ [/tex]

Multiply the both side by the least common multiple to eliminate the fraction...

[tex] = 5t = 2t + 2[/tex]

[tex] = 5t - 2t = 2[/tex]

[tex] = 3t = 2[/tex]

[tex] = t = \frac{2}{3} \\ [/tex]

What kind of shape is this? O A. Quadrilateral B. Not a polygon O C, Triangle O D. Pentagon​

Answers

Answer:

C

Step-by-step explanation: It has three sides

What is the cubed root of 1331

Answers

Answer:

Step-by-step explanation:

∛(1331)

∛11*11*11  = 11

I need help, pleasee

Answers

Answer:

Option B (Lucy says to multiply 4 x 4 = 16 because 2 x 4 = 8.) is the solution.

Step-by-step explanation:

Let's have a look at the image they've provided. (The identical picture is shown below. )

[tex]\left[\begin{array}{cc}2&8\\4&?\\5&20\end{array}\right][/tex]

Do you see a pattern here? Concentrate on the second row rather than the first. Both integers are multiplied by four, therefore 4 x 4 must be multiplied.

[tex]2 *4= 8\\5*4 = 20[/tex]

This indicates that option B is the right response. (Lucy says to multiply 4 x 4 = 16 because 2 x 4 = 8.)

Hope this helps! :D

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Consider this figure. 11 1/2 in 10 in 20 in​

Answers

OK 11 divaide 20= 220 divaide 10 = 2.200

A ladder is leaning against a house at an angle of 35° at the roof line. The base of the ladder is 8 feet from the house. How long is the ladder to the nearest whole foot? Use a calculator if needed.

A. 27 feet

B.43 feet

C. 8 feet

D. 14 feet

E. 35 feet

Answers

Answer:

D

Step-by-step explanation:

Remark

What you are trying to solve for is the hypotenuse of a right triangle. You will use the sine to do it.

Givens

Base = 8 feet

angle = 35 degrees

hypotenuse = ?

Formula

Sin(35) = base / hypotenuse

Solution

Sin (35) = 8 / hypotenuse                Multiply both sides by the hypotenuse

hypotenuse * sin(35) = hypotenuse * 8/hypotenuse

hypotenuse * sin(35) = 8                  Divide by sin(35)

hypotenuse = 8/sin(35)                    Substitute value of sin(35)

hypotenuse = 8 / 0.5736

hypotenuse = 13.94

Answer

The ladder is about 14 feet long or D

If w = 6 feet, x = 5 feet, y = 12 feet, and z = 8 feet, what is the area of the object?

A. 69 square feet
B. 60 square feet
C. 78 square feet
D. 39 square feet

PLSSS HELP!!!

Answers

Answer:

B. 60 square feet

Step-by-step explanation:

took a test and got it right

Answer:

A. 69 square feet

Step-by-step explanation:

add the area of the triangle on top to the

area of the rectangle below

y - w is the base of the triangle

12 - 6 = 6 is the base of the triangle

z - x = height of the triangle

8 - 5 = 3 = height of the triangle

6 times 3 divided by 2 = area of the triangle =

9

y times x is the area of the rectangle below

12 times 5 =

60 is the area of the rectangle below

add up both areas which =

69

Solve for D: 48 = 12D - 30 + 6D. Round to nearest hundredths if applicable!

Answers

Answer:

D = 4.33

Step-by-step explanation:

⇒ 48 = 12D - 30 + 6D

⇒ 48 = 18D - 30

⇒ 18D = 78

⇒ D = 78/18

⇒ D = 26/6

⇒ D = 13/3

⇒ D = 4.33

The requried simplified value of the given expression is D = 4.33.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

What is rounding of values?

The rounding of values is superseding a number with an inexact value that has a more ephemeral, more uncomplicated, or more direct representation.

Here,
48 = 12D - 30 + 6D

Simplify,
48 = 18D - 30
D = 78 / 18
D = 4.33

Thus, the requried simplified value of the given expression is D = 4.33.

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Give the steps you would use to find the solutions to the system of equations, then name the solutions. you may solve this graphically or algebraically
y=2x^2-6x+1
y=-x+1

Answers

We have found one solution to the equations that the two equations intersect at the point (2.5,-1.5).

What are equations?

The equation is actually a relationship between the numbers and the variables. In this question we have two equations y=2x²-6x+1 and y=-x+1 so by equating them we can find the value of x which is the intersecting point of the two lines.

Now the solution of the equations:-

y=2x²-6x+1

y=-x+1

2x²-6x+1 = -x+1

2x²=5x

x=5/2=2.5

y=-2.5+1=-1.5

Hence the one solution to the equations that the two equations intersect at the point (2.5,-1.5).

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determine (algebraically) if the given function is EVEN or ODD show your work.
f(x)= -13x^2+15

Answers

Answer:  Even

======================================================

Explanation:

[tex]f(x)= -13x^2+15\\\\f(x)= -13x^2+15*1\\\\f(x)= -13x^2+15x^0\\\\[/tex]

Each term of the polynomial function has an exponent which is an even number, therefore the function is even.

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

Another approach:

[tex]f(x)= -13x^2+15\\\\f(-x)= -13(-x)^2+15\\\\f(-x)= -13x^2+15\\\\[/tex]

Since f(x) = f(-x) for all x, this proves the function is even.

Answer: Even.
Have a good day
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