George says that an account that earns 4% interest compounded annually and an account that earns 2% interest compounded semi-annually will be worth the same if the principals are the same

Answers

Answer 1

Answer:

the account won't yield the same amount despite the same principal amount.

Step-by-step explanation:

To test this assertion :

Let principal = $1000

t = 1 year

Compound interest formula :

A = P(1 + r/n)^nt

P = principal ; r = rate, n = number of times interest is compounded per period ; t = time

Account A :

Rate = 4% annually

A = 1000(1 + 0.04/1)^1

A = 1000 * 1.04 = $1040

Account B:

Rate = 2% compounded semianually ; n = 12 /6 = 2

A = 1000(1 + 0.02/2)^1*2

A = 1000(1.01)^2

A = 1000 * 1.0201

A = $1020.1

From the result, the account won't yield the same amount despite the same principal amount.


Related Questions

what is the price of 6000 brick if the price of 1000 brick is rs 3500 pls give me properly ans​

Answers

Answer:

Step-by-step explanation:

Price of 1000 bricks = Rs. 3500

Price of 1 brick = 3500 / 1000

                        = Rs. 3.5

Price of 6000 bricks = Rs. 3.5 * 6000

                                 = Rs. 21000

Hope it will help :)

Step-by-step explanation:

let the bricks be x

Bricks

6000 x

1000 3500

3500×6000=1000×x

21000000/1000=X

21000 Answer

PLZ HELP ME LOL


A large cheese pizza cost 7.50. Diego has 40$ to spend on pizzas. How many large cheese pizza can he afford . Explais or show your rwasoning

Answers

40/7.50=5.33
So Diego can buy 5 pizzas with a little money left over.

An artist is using right triangles in her design. If all the triangles have an angle measure of 24, what is the measure of the third angle?

Answers

Answer:

66°

Step-by-step explanation:

Given that :

Right angle measure of a triangle are used in a design :

A right angles triangle has one of its angle equals 90 ;a

Since the second angle is given as 24 ; b

The measure of the third angle ; c will be :

Sum of angles in a triangle = 180

(a + b + c) = 180

(90 + 24 + c) = 180

c = 180 - 114

c = 66°

what is x? plz help :)

Answers

Answer:

13

Step-by-step explanation:

using the Pythagorean theorem  a²+b²=c²

or the two shorter sides square added together equal the longest side squared

5²+12²

5²=25

12²=144

144+25=169

then we just have to take the square root of 169

√169=12

have a great day :D

Find the product of 0.75 x 2.1

Answers

Answer:

1.575

Step-by-step explanation:

0.75 x 2.1 = 1.575

Hope that helps!

Answer:

1.575

Step-by-step explanation:

Sam picked 48 oranges in 5 minutes. How many oranges could she pick in 2 minutes?

Answers

Step-by-step explanation:

48 oranges in 5 minutes means she picked 48 oranges in 300 seconds.

Divide 48 by 300 to get what she would pick in one second.

This equals 0.16

Multiply 0.16 by 120 seconds [how many seconds are in two minutes].

This equals 19.2 oranges in two minutes. As she cannot pick 0.2 of an orange, she could pick 19.

The 7th term of the geometric sequence 13, 26, 52, 104, ... is

Answers

Answer:

832

Step-by-step explanation:

multiply the original number by 2, seven times.

PLEASE SOMEONE HELP ME ON THIS ONE!!

Answers

Answer:

266.24 Ounces

Step-by-step explanation:

By taking the numbers provided as the inital liquid value and the additional subtraction of 3.84 ounces per day, we get the equation:

y = -3.84(x) + 320

By using this equation we will then add the 14 days as x to get

y = -3.84(14) + 320

y = -53.76 + 320

y = 266.24

Mary spent $45 at the mall. She bought lunch for $9 . She bought 3 shirts at x dollars
each. Which of the following equations could be used to find x ?

Answers

Answer:

3x + 9 = 45

Step-by-step explanation:

3 shirts at x dollars each cost 3x

lunch costs 9

altogether she spent 3x + 9

she spent 45

3x + 9 = 45

how to solve 5x+20=5

Answers

Answer:

x= -3

Step-by-step explanation:

if u want explain let me know

Answer:

x = -3

Step-by-step explanation:

5x + 20 = 5

Subtract 20 from both sides

5x + 20 - 20 = 5 -20

{If two numbers have different sign, subtract and the result will have the sign of the bigger number. 20 -5 = 15, bigger number is 20, so -15}

              5x  = - 15

Divide both sides by 5

              5x/5 = -15/5

x = - 3

given right triangle abc and sin A= 1/2, cos A = √3/2

Answers

Answer:

true

Step-by-step explanation:

sinA² + cosA²=1

⇔(1/2)² + cosA²=1

⇔cosA=±(√3/2)

Yes, the triangle is a right triangle.

What is a right triangle?

A triangle is called a right triangle if it has an angle measuring 90°.

Given that in a triangle if Sin A = 1/2 and Cos A = √3/2, then the triangle is a right triangle,

So,

Sin A = 1/2

Sin A = Sin 60°

A = 60°

Also, we know that the sine and cosine of an angle is complementary,

So,

Sin A = Cos (90-A)

Therefore, Cos(90-30)° = Cos 30° = √3/2

Therefore, ABC is a right triangle.

Hence the triangle is a right triangle.

Learn more about right triangles click;

https://brainly.com/question/6322314

#SPJ2

Triangle QRS is rotated 180° about the origin. On a coordinate plane, triangle Q R S has points (negative 4, 1), (negative 4, 4), (2, 1). What are the coordinates of point S'? (2, 1) (1, –2) (–1, –2) (2, –1)

Answers

Answer:

(-2,-1)

Step-by-step explanation:

Given

[tex]Q =(-4,1)[/tex]

[tex]R = (-4,4)[/tex]

[tex]S = (2,1)[/tex]

180 degrees rotation

Required

Determine the coordinate point S'

For a 180-degree rotation, the transformation rule is: (x, y) to (-x, -y)

So:

[tex]S = (2,1)[/tex] ==> [tex]S' = (-2,-1)[/tex]

Hence, the coordinate point of S' is (-2,-1)

Answer:

1,-2 did it right

Step-by-step explanation:

Identify the error in the student solution shown below. Find the correct answer

Answers

Answer:

question please can't see any question

Help me it due 30 minutes
Estimate each product

1/5x22

Answers

Answer:

I say its 4.4

Step-by-step explanation:

You are planning a flower garden consisting of three square plots surrounded by a 1-ft border. The total area of the garden is 150 ft^2. What is the side length x of each plot

Answers

Answer:

56

Step-by-step explanation:

56 is the answer

Help!!!!!!!!
I will mark you brainliest for the correct answer
Please help!!!!!!
This is a big test!!!!

Answers

Answer:

30 degrees

Step-by-step explanation:

its obtuse which is 90 degrees angle

Answer:

50

Step-by-step explanation:

all triangles angles add up to 180, add up the other 2 sides, then subtract from 180, 130, which means because of how triangles work, the other side must make it equal to 90, so 130+50=180.

I'm honestly sorry that I'm asking so many questions.
Solve for X in the Diagram.

Answers

Answer:

[tex]\Huge\boxed{x=8}[/tex]

Step-by-step explanation:

Hello There!

Remember the sum of all of the angles in a triangle is 180

so we can use this equation to solve for x

180 = 50 + 60 + 8x + 6

now we solve for x

step 1 combine like terms

50 + 60 + 6 = 116

now we have

180=8x+116

step 2 subtract 116 from each side

116 - 116 cancels out

180 - 116  = 64

now we have

8x = 64

step 3 divide each side by 8

8x/8=x

64/8=8

we're left with x = 8

how do i find the x and y intercepts of x+y-5=0

Answers

Answer:

To find x intercept. Substitute y=0 in the given equation, and solve for x . x−0=5. x=5. Therefore, x intercept =(5,0)

To find y intercept. Substitute x=0 in the given equation, and solve for y . 0−y=5. y=−5. Therefore, y intercept =(0,−5)

Step-by-step explanation:

Answer:

y intercept = -5

x intercept cordinate= (5,0)

Step-by-step explanation:

Write the ratios for sin x, cos x and tan x

Answers

Answer:

sin(x)=[tex]\sqrt{119\\}[/tex] / 12, cos(x)=5/12, tan=[tex]\sqrt{119\\}[/tex] / 5

Step-by-step explanation:

segment YZ is length a, we need to find a

segment XZ is length 5

segment XY is length 12

XYZ is a right triangle, so a^2 + b^2 = z^2, so

a^2 + 5^2 = 12^2, simplify

a^2 + 25 = 144, subtract 25

a^2 = 119

a = [tex]\sqrt{119\\}[/tex]

then we can determine all the trig ratios

soh - cah - toa

sin = opp/hyp, cos=adj/hyp, tan=opp/adj

sin(x)=[tex]\sqrt{119\\}[/tex] / 12, cos(x)=5/12, tan=[tex]\sqrt{119\\}[/tex] / 5

What is the measure of E in degrees?

Answers

Answer:

c

Step-by-step explanation:

E=10×10+25

but solve it to make sure

the answer is 130° a p e x

Someone help me please help me!!!

Answers

Here you go: the answers
7. C
8. A

PLEASE PLEASE ANSWER THIS WILL GIVE BRAINLY

Answers

I think the answer is B but I’m not sure. If it’s wrong, so sorry.

¿Cuál es el valor absoluto de 9?

Answers

Por lo que, el valor absoluto de -9 es 9. El valor absoluto de 9 es el número de unidades que está 9 del cero. Nueve está a nueve unidades de cero.

what is 20 divided by 10 but to the power or 2​

Answers

4 is the answer for your question
0.2 or 1/5 if the power of 2 is on the 10

40 if the power of 2 is on the 20

please mark brainliest

plz help highly appreciated

Answers

Answer:

1a. y= -6x+30

1b. y= -6x-22

2a. y= 3x+2

2b. y= -1x+4

1. (08.01, 8.02 MC) An expression is shown below: 2x3y2 + 18xy2 − 20x2y − 180y Part A: Rewrite the expression so that the GCF is factored completely. (4 points) Part B: Rewrite the expression completely factored. Show the steps of your work. (6 points) (10 points)

Answers

Answer:

A. 2y

B. (xy − 10)(2x²y + 18y)

Step-by-step explanation:

Part A: Rewrite the expression so that the GCF is factored completely.

2x³y² + 18xy² − 20x²y − 180y

Factoring y out, we have

(2x³y + 18xy − 20x² − 180)y

Factoring 2 out, we have

(x³y + 9xy − 10x² − 90)2y

So, the GCF is 2y and the expression factored is (x³y + 9xy − 10x² − 90)2y

Part B: Rewrite the expression completely factored.

2x³y² + 18xy² − 20x²y − 180y

Rearranging, we have

2x³y² − 20x²y + 18xy²  − 180y

Separating them into brackets, we have

(2x³y² − 20x²y) + (18xy²  − 180y)

Factorizing the expressions in bracket, we have

(xy − 10)2x²y + (xy  − 10)18y

collecting like terms, we have

(xy − 10)(2x²y + 18y)

Find the area of the following
parallelogram:
5 cm
8 cm
7.5 cm
A= [?] cm?
Enter the exact answer as a decimal.

Answers

Answer:

37.5

Step-by-step explanation:

The numbers 0.1, 12, 15 and 124 can all be classified as counting numbers?​

Answers

Answer:

No

Step-by-step explanation:

Counting numbers are considered to be whole numbers greater than zero. Whole numbers are positive numbers without decimals or fractions, so 12, 15, and 124 can be classified as counting numbers, but not 0.1.

hope this helps!!!

I need help with this question pls anybody?​

Answers

Answer:

The second one, the third one.

Step-by-step explanation:

The time in Wellington is 11 hours ahead of the time in London. What time is it in Wellington when it is 6 15 am in London?

Answers

Answer:

5:15 pm

Step-by-step explanation:

Hope this helps!

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