If the simple interest on a sum of money at 5% per annum for 3 years is $
1200, then the compound interest on the same sum for the same period
at the same rate will be .........
*​

Answers

Answer 1

Answer:

$1207.96

Step-by-step explanation:

The accumulated value for simple interest is defined by the following formula:

FV=PV(1+it)

we have (where x is the present value or PV)

1200= x(1+.05*3)

Solve for x

1200=1.15x

x=1043.478261

We now need to use the equation for annually compounding interest

[tex]FV=PV(1+i)^t[/tex]

We have

[tex]1043.4782(1+.05)^3\\1207.956522[/tex]

which rounds to

$1207.96


Related Questions

Need help will give brainliest!!!

Answers

Answer:

A

Step-by-step explanation:

they took the square root of both sides

a bag contains 33 red blocks, 46 green blocks, 22 yellow blocks, and 24 purple blocks. You pick one block from the bag at random. Find the indicated theoretical probability. P(purple or yellow) WILL CHOOSE BRAINLIEST!!!

Answers

Answer:

purple bc there are more purple in the bag then yellow. I'm pretty sure this is right

I really need help ASAP and I only have 2 left of missing assignments on math and I am really bad at math and I am going to fail help me plzzzzz T^T

It's Homework #1: Odds

Answers

Answer:

1/10, 3/10

Step-by-step explanation:

1) we have 10 letters, so the answer is: 1/10

2) we have three grey parts in a total of ten parts, so the answer is 3/10

which property is demonstrated?

Answers

Answer:

Associative Property

Explanation:

Associative property is when you add and group numbers in any combination.

(2) Parv has a $50 gift card. He uses the gift card to buy a pack of games
for $9.99. He also wants to buy some movies (n). Each movie costs
$3.99. Which inequality describes how many movies Parv can buy?

Answers

Answer:

$50 - $9.99 = $40.01

$40.01 ÷ $3.99 = 10

so the answer is 10

Step-by-step explanation:

if thats not whats being asked sorry

Inequality shows a relationship between two numbers or two expressions.

The inequality describes the number of movies Parv can buy.

9.99 + 3.99x ≤ 50

Where x is the number of movies.

The number of movies Parv can buy is 10.

What is inequality?

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal= ≥

We have,

Gift card = $50

Cost of a pack of games = $9.99

Cost of each movie = $3.99

x = number of movies

The inequality describes the number of movies Parv can buy.

9.99 + 3.99x ≤ 50

Where x is the number of movies.

Solve for x.

9.99 + 3.99x ≤ 50

Subtract 9.99 on both sides.

3.99x ≤ 50 - 9.99

3.99x ≤ 40.01

Divide both sides by 3.99

x ≤ 40.01/3.99

x ≤ 10

This means the number of movies Parv can buy is 10.

We can cross-check.

9.99 + 3.99 x 10 ≤ 50

9.99 + 39.9 ≤ 50

49.89 ≤ 50

Thus,

The number of movies Parv can buy is 10.

Learn more about inequalities here:

https://brainly.com/question/20383699

#SPJ2

You have a bag of gummy worms. 12 are green, 3 are blue, 6 are red, and 2 are orange. What is the probability that you will reach into the bag and pull a red worm, eat it, and then pull a green worm?

Answers

Answer and working out attached. Hope it helps

The probability that you will reach into the bag and pull a red worm, eat it, and then pull a green worm:

What is probability?

Probability is a mathematical term, which can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. The possibility that an event will occur is measured by probability.

Probability of Event = Favorable Outcomes/Total Outcomes = X/n

The probability of pulling a red worm from the bag is 6/(12+3+6+2) = 6/23.

After eating the red worm, there are 11 green worms left in the bag, so the probability of pulling a green worm is 12/(12+3+2) = 12/17.

To find the probability of both events occurring (pulling a red worm and then a green worm), we need to multiply their probabilities:

P(red and green) = P(red) × P(green)

P(red and green) = (6/23) × (12/17)

P(red and green) = 72/391

Therefore, the probability of reaching into the bag and pulling a red worm, eating it, and then pulling a green worm is 72/391.

To know more about Probability check:

https://brainly.com/question/30034780

#SPJ3

A maple tree is 16 yards tall and its shadow is 12 yards long. A nearby observation tower is 12 yards tall. How long is the observation tower's shadow? Write your answer as a whole number or a decimal. Do not round.

Answers

Answer: 9 yards

Step-by-step explanation:

Given

The maple tree is 16 yards tall and its shadow is 12 yards tall

Suppose the angle made by the maple tree is x

[tex]\Rightarrow \cos x=\dfrac{12}{16}[/tex]

For the tower also, the angle made by the tower and its shadow is x

Suppose the length of the shadow is y

[tex]\Rightarrow \cos x=\dfrac{y}{12}[/tex]

Substitute the value of [tex]\cos x[/tex]

[tex]\Rightarrow \dfrac{y}{12}=\dfrac{12}{16}\\\\\Rightarrow y=9\ \text{yards}[/tex]

IL GIVE BRAINLY THING

Answers

Answer:

It takes 42 seconds for the ball to reach its maximum height

The ball's max height is 2

hope this is right

help plssss (I’ll give 80 pointsss)

Answers

Answer:

5 + 2 = 7

Step-by-step explanation:

The vertical lines are on the points 5 and 7. So to get from five to seven you move two to the right

Answer:

here in the figure

5 +2 = 7

so the vertical lines is in the points 5 and 7 .

if you want to find

you need to add both points 5 and 2

so after adding both you will get answer 7

hope it is helpful to you️☺️☺️☺️☺️☺️☺️☺️

Lanna plotted 3 vertacies of a square on a coordinate plane witch are the coordinates of the missing vertext of lanas square

Answers

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the coordinates of the three vertices.

I will answer your question using the following illustration.

Assume that the square is ABCD are the given coordinates are:

[tex]A = (3,1)[/tex]

[tex]B = (-1,5)[/tex]

[tex]C = (-5,1)[/tex]

Required

Find D

Let the coordinates of D be:

[tex]D = (x,y)[/tex]

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

Calculate the slope of each side.

AB, BC, CD and DA using:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

AB:

[tex]A = (3,1)[/tex] -- [tex](x_1,y_1)[/tex]

[tex]B = (-1,5)[/tex] -- [tex](x_2,y_2)[/tex]

So:

[tex]m_1 = \frac{5 - 1}{-1 - 3} = \frac{4}{-4} = -1[/tex]

BC:

[tex]B = (-1,5)[/tex] -- [tex](x_1,y_1)[/tex]

[tex]C = (-5,1)[/tex] -- [tex](x_2,y_2)[/tex]

So:

[tex]m_2 = \frac{1-5}{-5--1} = \frac{-4}{-4} = 1[/tex]

CD:

[tex]C = (-5,1)[/tex] -- [tex](x_1,y_1)[/tex]

[tex]D = (x,y)[/tex] -- [tex](x_2,y_2)[/tex]

So:

[tex]m_3 = \frac{y - 1}{x --5} = \frac{y-1}{x+5}[/tex]

DA

[tex]D = (x,y)[/tex] -- [tex](x_1,y_1)[/tex]

[tex]A = (3,1)[/tex] -- [tex](x_2,y_2)[/tex]

[tex]m_4 = \frac{1-y}{3-x}[/tex]

AB and CD are parallel sides. So, they have the same slope

i.e.

[tex]m_1 = m_3[/tex]

[tex]\frac{y-1}{x+5} = -1[/tex]

Solve:

[tex]y-1 =-x-5[/tex]

Make y the subject

[tex]y =-x-5+1[/tex]

[tex]y =-x-4[/tex] ---- (1)

BC and DA are parallel sides. So, they have the same slope

i.e.

[tex]m_2 = m_4[/tex]

[tex]1 = \frac{1-y}{3-x}[/tex]

Solve:

[tex]1-y =3-x[/tex]

Make y the subject

[tex]y =1-3+x[/tex]

[tex]y =x-2[/tex] ---- (2)

So, we have:

[tex]y =-x-4[/tex] and [tex]y =x-2[/tex]

Equate both:

[tex]y=y[/tex]

[tex]-x-4=x-2[/tex]

Collect like terms

[tex]-x-x=4-2[/tex]

[tex]-2x=2[/tex]

Solve for x

[tex]x = -\frac{2}{2}[/tex]

[tex]x = -1[/tex]

Substitute [tex]x = -1[/tex] in [tex]y =x-2[/tex]

[tex]y = -1-2[/tex]

[tex]y = -3[/tex]

So, the missing coordinate is:

[tex]D = (-1,-3)[/tex]

What is the value of θ for the acute angle in a right triangle?



sin(θ)=cos(73°)



Enter your answer in the box.

θ=

Answers

Answer:

The correct answer would be 17

I took the test and it was correct

Sorry its late hope it helps!

Answer: 17

Step-by-step explanation:

θ= 17

Correct answer on the test.

Can someone please help me with this question

Answers

Answer:

70° angle because it's not an obtuse angle so it wouldn't be C, D, or E and 25° is to small so the answer is B

Answer:

70 degrees

Step-by-step explanation:

90 degrees is a right angle, which is just straight up, and has a. square symbol. So, we can use that to compare the answers. Anything over 90 degrees would have its angle tilt to the left. So, anything over 90, like the ones at 100 degrees are wrong. 20 would be really close to the bottom. So, its 70

I desperately need help with this please help. (Yes I’m bad at math)

Answers

Answer:

m∡A = 128°

Step-by-step explanation:

since AD = BC then ∡A=∡B

Answer: 128 degrees

This is because angles on a straight line add up to 180

So we do 180-52=128 to get our answer

Hope this helped

Please Help I will do Brainliest for first and correct answer

Answers

Answer:

5

Step-by-step explanation:

41 - 32 = 9

5/9 x 9 = 5

The polygons are similar. Find the value of X.

Answers

Answer:

the polygon on the right side is doubled the size of the one on the left, therefore x=11

Hence, make a conjecture regarding the line joining the midpoints of two sides of any triangle:​

Answers

Answer:

Plzzzz answer fast.....

Dos libras de carne de res y dos de chivo cuestan $334 pesos, si duplico la libra de carne de res y una libra de chivo cuestan $420 pesos. ¿Cuál es el precio por libra de cada producto?

Answers

Answer:

El precio por libra de la carne de res es $84.33 y el precio por libra de chivo es $82.67.

Step-by-step explanation:

Con la información proporcionada puedes escribir las siguientes ecuaciones:

2x+2y=334 (1)

4x+y=420 (2), donde:

x es el precio por libra de carne de res

y es el precio por libra de chivo

Primero, puedes despejar x en (1):

2x=334-2y

x=334/2-2y/2

x=167-y (3)

Ahora, debes reemplazar (3) en (2) y despejar y:

4(167-y)+y=420

668-4y+y=420

668-3y=420

668-420=3y

248=3y

y=248/3

y=82.67

Finalmente, puedes reemplazar el valor de y en (3) para encontrar el valor de x:

x=167-y

x=167-82.67

x=84.33

De acuerdo a esto, la respuesta es que el precio por libra de la carne de res es $84.33 y el precio por libra de chivo es $82.67.

An angle measures 36.6° less than the measure of its complementary angle. What is themeasure of each angle?

Answers

Answer:

53.4° and 36.6°

Step-by-step explanation:

90.0 - 36.6 = 53.4

Help me please!!!!!!!!!!!!!!!!

Answers

Answer:

x = 4

Step-by-step explanation:

By intersecting chords theorem:

[tex]8(4x + 2) = 9(4x) \\ \\ 32x + 16 = 36x \\ \\ 32x - 36x = - 16 \\ \\ - 4x = - 16 \\ \\ x = \frac{ - 16}{ - 4} \\ \\ x = 4[/tex]

Ms. Hill goes to a burger place in California and orders 5 hamburgers and 3 fries and 6 hamburgers and 2 fries. What could she do to make her order simpler?

Answers

she can order 11 burgers and 5 orders of fries

how do you solve this??

Answers

I can’t see the photo

8.5b−3.4*(13a−3.2b)+a
i need help ASAP

Answers

Answer:

19.38b - 43.2a

Step-by-step explanation:

Simplify :

8.5b−3.4*(13a−3.2b)+a

Open the bracket :

8.5b - 44.2a + 10.88b + a

Collect like terms :

8.5b + 10.88b - 44.2a + a

19.38b - 43.2a

A rectangular prism is 12 yards long, 8 yards wide, and 5 yards high. What is the surface area of the rectangular prism? HURRY I NEED HELP NOWWWWWW PLEASEEE

Answers

Answer is 392yd  squared

                                                           

easy algebra question below first correct answer gets brainliest

Answers

Answer:

10

Step-by-step explanation:

We solve using Pythagoras Theorem. Pythagoras Theorem is used to solve for the missing side of a right angled triangle.

The formula for Pythagoras Theorem =

c² = a² + b²

c = √a² + b²

Where c is the longest side

From the above diagram, we are looking for c

c = ?

a = 6

b = 8

Hence,

c = √6² + 8²

c = √36 + 64

c = √100

c = 10

Therefore, side c = 10

Find the point-slope equation for
the line that passes through the
points (1, -9) and (-10, 101). Use
the first point in your equation.

Answers

Answer:

y - (-9) = -10 (x - 1)

Step-by-step explanation:

y = mx + b

m (slope) = (y'-y) / (x'-x) = (101 - (-9)) / (-10) - 1) = 110/(-11) = -10

pass (1 , -9)

m = (y - (-9)) / (x - 1) = -10

y - (-9) = -10 (x - 1)

Shazia sells 25x^2+5x+5 flowers in one day. If she sells the same number of flowers each day for rs 5x each , how much money will she have at the end of five days


Anyone help

Answers

Answer:

[tex]Total = 625x^3 + 125x^2 + 125x[/tex]

Step-by-step explanation:

Given

[tex]Flowers = 25x^2 + 5x + 5[/tex]

[tex]Unit\ price = 5x[/tex]

Required

The total price for 5 days

First, calculate the total for a day.

[tex]1\ day = Unit\ price * Flowers[/tex]

[tex]1\ day = 5x * (25x^2 + 5x + 5)[/tex]

Open bracket

[tex]1\ day = 125x^3 + 25x^2 + 25x[/tex]

For 5 days, the total will be.

Total = days * sales of a day

So, we have:

[tex]Total = 5 * [ 125x^3 + 25x^2 + 25x][/tex]

[tex]Total = 625x^3 + 125x^2 + 125x[/tex]

Find the Highest Common Factor of : 27, 36, and 54.​

Answers

Answer: 9

Step-by-step explanation:

The factors of 27 are: 1, 3, 9, 27

The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36

The factors of 54 are: 1, 2, 3, 6, 9, 18, 27, 54

Then the greatest common factor is 9.

Hope this helped ! :)

Hey! Could someone explain to me how to find the perimeter of this figure? It would be greatly appreciated!

Answers

Answer:

3/2 pi + 12

Step-by-step explanation:

In this figure, we have 4 sides and one curve. The total length of the four sides is 3 x 4 = 12. To find out the length of the curve, we need to find the angle of the top figure. Since it is next to a square, that means the angle that is farthest from the curve is 90 degrees.

The formula for finding an angle of a curve is n/360 x 2 pi x radius, where n is the angle.

The radius of the arc is 3, because at the bottom we see the width of the figure is 3.

Substituting our known values, we have 1/4 x 2 x pi x 3 = 6 x 1/4 x pi = 3/2 x pi.

Therefore, our answer is 3/2 pi + 12

Im sped Help MEEEEE PLEASEEE

Answers

Answer:

2x^4

-x^3 + 3x^2 + 2x + 4

5x^2 + 5x + 5

-3x + 10

22

Step-by-step explanation:

find the highest exponent of each polynomials:

22=> 0 degree

-3x(equals to -3x^1) + 10=> 1st degree

5x^2 + 5x + 5=> 2nd degree

-x^3 + 3x^2 + 2x + 4=> 3rd degree

2x^4=> 4th degree

what is 5^2 simplified

Answers

Answer:

25

Step-by-step explanation:

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