A man invests $8 000 at 12% simple interest for 3 years. If he invests the same amount of money for the same time period at 12% compound interest, what is the difference between the two investments?

Answers

Answer 1

Answer:

  $359.42

Step-by-step explanation:

The difference in the investment values can be computed by making use of the formulas for the account balance in each case.

  compound interest: A = P(1 +r)^t . . . . interest at rate r compounded annually

  simple interst: A = P(1 +rt) . . . . simple interest at rate r

__

The account earning simple interest will have a balance of ...

  A = $8000(1 +0.12×3) = $10,880

The account earning compound interest will have a balance of ...

  A = $8000(1 +0.12)^3 ≈ $11,239.42

The difference between the two investments is ...

  $11,239.42 -10,880 = $359.42


Related Questions

Please help!! Will mark brainlyest.

Answers

Answer:

1 and 2

Step-by-step explanation:

Jalen bought 4 pizzas. He also spent $8 on wings. He paid a total of $60. He can use the equation 4p + 8 = 56 to determine the price of each pizza. How much was each pizza?

Answers

Answer:

13 dollars a pizza because if you put 4x13 that is 52 then add the wings 8$ that is your answer 60....

Step-by-step explanation:

Hopefully It helped ya... (:

Answer:

p = 12

Step-by-step explanation:

Given:

Jalen bought 4 pizzas. He also spent $8 on wings. He paid a total of $60. He can use the equation 4p + 8 = 56 to determine the price of each pizza.

To Find:

How much was each pizza?

Solution:
Since it already given a equation thus we can just solve using the equation given:

4p + 8 = 56

Subtract 8 from both sides

4p + 8 = 56

      - 8     -8

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

4p = 48

Divide both sides by 4

4p/4 = 48/4

p = 12

Hence, each pizza cost $12.

Kavinsky

Miss David's birthday is in April, and she is going to have a party. She is
looking to buy a bag of decorations. Each bag has two different types of
decorations: balloons and streamers. The first bag has 10 balloons and 4
streamers. The second bag has 12 balloons and 5 streamers. The last bag
has 8 balloons and 10 streamers. Bag 1 costs $82, bag 2 costs $100, and
bag 3 costs $120.

How much does each type of decoration cost?

How did you get your answer?

what equation did you use?

Answers

Answer:

120

Step-by-step explanation:u need to add it all and divide 4

Joe, a plumber, charges $45 per hour plus
$100 for making an in-home visit. Write
and solve an equation to find out how
many hours of plumbing work are needed

Answers

Answer: The answer is five

Step-by-step explanation:

Set y = z

50x + 75 = 65x

Subtract 50x from both sides

50x (-50x) + 75 = 65x (-50x)

75 = 15x

Divide both sides by 15

75 (/15) = 15x (/15)

5 = x

And there we have it, x = 5! So it takes 5 hours of work for each to cost the same.

Answer: (Y - 100)/ 45 =No of hours

where y is the full payment

Step-by-step explanation:

Charges per hour plus visit is 45+100 where 100 Is fixed

2hr is (45 × 2) +100

Payment y for Xhrs= 45X + 100

Y =45X + 100

Y -100 =45X

Y -100/45 = X

TIME SENSITIVE I REALLY NEED HELP
Which function is continuous at x = 18?

Answers

Answer:

The answer is D.

Step-by-step explanation:

a) Plugging x = 18 gets numerator 0^2/18 = 0 that not continuous.

b) Plugging x = 18 the denomiator becomes a value/0 making it undefined.

c) Plugging x = 18 gets tan(2pi) = 0/1 which is 0

d) f(x) = 36 is should be a straight lines at y =36. I think. Best option is D.

Quadrilateral ABCD has vertices at A(-4,5) B(-1,9) C(7,3) and D(4,-1). What is the most precise name for a quadrilateral ABCD?

Answers

Answer:

Rectangle

Step-by-step explanation:

The answer you put was a rhombus , which is wrong . if you put the coordinates in you would see that its a rectangle slightly tilted instead of  rhombus , a rectangle has more of a wider side than a rhombus does . please change your answer!

help math highschool

Answers

Answer:

Your answer is d) 3, 7, 8.

Step-by-step explanation:

s and t are parallel and r is transversal.

4 and 3 are congruent as the vertical angle.

4 is 7 is alternative exterior angles.

4 and 8 are corresponding angles.

please help me

Mario flips a coin, then rolls a standard six-sided number cube. What is the probability that Mario gets tails and rolls a number greater than 4?

Enter a number in the box.

Answers

Answer:

1/6.

Step-by-step explanation:

Prob(Tail) = 1/2

Prob(gets number > 4 ,  that is a 5 or a 6) = 2/6 = 1/3.

So required probability = 1/2 * 1/3

= 1/6.

The individual probabilities are multiplied as the 2 events are independent.

The probability that Mario gets tails and rolls a number greater than 4 is,

⇒ 1 / 6

What is mean by Probability?

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Given that;

Mario flips a coin, then rolls a standard six-sided number cube.

Now, We get;

The probability to get tails is,

⇒ 1 / 2

And, The probability to get a number greater than 4 (5 and 6) is,

⇒ 2 / 6

⇒ 1 / 3

Thus, The probability that Mario gets tails and rolls a number greater than 4 is,

⇒ 1/2 × 1/3

⇒ 1 / 6

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can someone pls help me !!

Answers

Answer:

I am not sure

Step-by-step explanation:

I believe if you take and break down what you paid and then it will be easier to figure out the interest

Michael's total sales last month
was $12,000. If he earned $480 in
commission, what was his
commission rate?

Answers

His commission rate would be 4%
480/12000=.04

A circle has a diameter of 7
inches. What is the area of
the circle in terms of pi?

Answers

Circle:

A Circle is a closed plane geometric shape figure. The diameter of a circle is the longest chord of a circle. The radius drawn perpendicular to the chord bisects the chord. A Circle is always lie at an equal distance from a center point. Circles having different radius are similar.

Area of Circle:

The area of a circle is pi times the radius squared. The unit of area of circle is square units.

[tex]\longrightarrow Area_{(circle)} = \pi r^2[/tex]

Here, r is the radius of the circle.

Elucidation:

We are asked to find the area of the circle in terms of pi if the diameter is 7 inches.

We know that, the diameter is twice the length of the radius of a circle. Therefore;

D = 2rr = D/2 = 7/2 = 3.5

Now the area of circle will be:

[tex]\implies Area_{(circle)} = \pi r^2[/tex]

[tex]\implies Area_{(circle)} = \pi (3.5)^2[/tex]

[tex]\implies Area_{(circle)} = 12.25 \pi[/tex]

Hence, the area of the given circle is 12.25π square inches.

Answer:

Area of circle = 12.25π square inches

Step-by-step explanation:

In the question we are given that diameter of circle is of 7 inches . And we have asked to find the area of the circle in term of pi ( π ) .

For finding area of circle we must have to know that what is the formula for finding area of circle. So :

[tex] \qquad \qquad \: \red{\underline{\red{ \boxed{ \frak{Area \: of \: Circle = \pi r {}^{2} }}}}}[/tex]

Where ,

π refers to 3.14 or 22/7

r refers to radius of circle

Solution : -

As in the question we are given length of diameter . So for finding area we need to find the radius of circle .

We know that diameter of circle is two times its radius or ,

[tex] \qquad \: \rm {Diameter = 2 × Radius }[/tex]

So for radius we are dividing both side with 2 :

[tex]\qquad \: \rm { \dfrac{Diameter}{2} = \dfrac{ \cancel{2} × Radius}{ \cancel{2}} }[/tex]

We get that ,

[tex] \qquad \: \rm {Radius = \dfrac{Diameter}{2} }[/tex]

Therefore , we can say that radius of circle is half of its diameter .

Now using this firstly we are finding radius of circle . So :

[tex] \longmapsto \quad \: \boxed{\rm{ Radius = \frac{7}{2} \: \: inches}}[/tex]

Therefore , radius of circle is 7/2 inches .

Now , we are moving towards our final solution .

So ,

[tex] \longrightarrow \quad \: Area_ { (Circle)} = \pi( \dfrac{7}{2} ) {}^{2} [/tex]

Calculating further :

[tex]\longrightarrow \quad \: Area_ { (Circle)} = \pi \times \dfrac{7}{2} \times \dfrac{7}{2} [/tex]

After multiplication of 7/2 with 7/2 we get :

[tex]\longrightarrow \quad \: Area_ { (Circle)} = \pi \times \dfrac{49}{4} [/tex]

On dividing 49 by 4 we get :

[tex]\longrightarrow \quad \: \blue{{\boxed{\frak{Area_ { (Circle)} = 12.25\pi \: inches {}^{2} }}}}[/tex]

Remember one thing , we haven't put value of π as 22/7 or 3.14 because in the question it is given that we have to find the area of circle in terms of pi .

Henceforth , in terms of pi ( π ) area of circle having diameter 7 inches is 12.25π inches² .

#Keep Learning

50 POINTS

What is the value represented by the letter E on the box plot of the data?

45, 45, 50, 55, 60, 65, 72, 75, 80, 80, 90

Answers

Answer:

90

Step-by-step explanation:

In a box plot, the point farthest to the line is the greatest or maximum number of the problem(in this case E). You look for the greatest number out of them all and that would be your answer(90).

Can i pretty please with a cherry on top get brainliest??

:>

90 because E is the maximum value

Sasha makes a wooden base for a sculpture with the dimensions shown. The sculpture is too heavy for the base, so she needs to add a brace from point C to point E to make the base stronger.


How long does the brace need to be? Round your answer to the nearest tenth.
with explanation


A. 5.4

B. 2.6

C. 3.4

D.5.1

Answers

Answer:

A. 5.4

Step-by-step explanation:

I think... I haven't done this sort of question in a while

which of the following is an example of the atmosphere inracting with the biosphere

Answers

Answer:

rain (hydrosphere) falls from clouds in the atmosphere to the lithosphere and forms streams and rivers that provide drinking water for wildlife and humans as well as water for plant growth (biosphere)

Step-by-step explanation:

Each day, a salesperson earns $25 plus 5% of their total sales for the day. The salesperson's goal is to earn more than $50 on Thursday. Which statements are true? Select all that apply.​

Answers

The true statement about the inequality is that Total sales per day is greater than $250

How to write and solve inequality equation?

Total sales per day = x

Amount earned per day = 25 + 5% of x

= 25 + 0.05x

Thursday = 4th day of the week

The inequality:

4(25 + 0.05x) > 50

100 + 0.2x > 50

100 - 50 > 0.2x

50 > 0.2x

x > 50/0.2

x > $250

Learn more about inequality:

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1
1. The measure of 2G is 82º. What is the
measure of its supplement?

Answers

A supplement adds to 180°, or a straight line..

So the supplement is 98°

Answer:

98º

Step-by-step explanation:

Since a supplementary angle is 2 angles which equal 180 degrees we would have this angle and 1 more angle that add up to 180:

[tex]82+x=180[/tex]

subtract 82 from both sides

[tex]x=98[/tex]

Find the midpoint of CD.
C = (-3,4) and D = (5,-8)

Answers

[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{-3}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{-8}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ 5 -3}{2}~~~ ,~~~ \cfrac{ -8 + 4}{2} \right)\implies \left(\cfrac{2}{2}~~,~~\cfrac{-4}{2} \right)\implies (1~~,~~-2)[/tex]

Draw the circle with equation x² + y² = 16

Answers

Answer:

Below.

Step-by-step explanation:

The center of the circle is at the origin and its radius is √16 = 4.

So set a compass to 4 and draw a circle with the compass point at the origin.

Emma has 23 teddy bears. Noah has 17 teddy bears. How many teddy bears do they have in all?.

Answers

Answer:

40

Step-by-step explanation:

23 + 17

= 40

Look at
Which of the following is the best description for this type pair of angles?

Answers

Answer:

Complementary angles

Step-by-step explanation:

Complementary angles because the two angles is shared on a same line as each others.

Allen is showing his work in simplifying –8.3 + 9.2 – 4.4 + 3.7. Identify and explain any errors in his work or in his reasoning. Write feedback to Allen explaining the mistake he made and how to correct his work.


Step Work Reasoning
−8.3 + 9.2 − 4.4 + 3.7 Original problem
1 −8.3 + 9.2 + 4.4 + 3.7 Additive inverse
2 −8.3 + 4.4 + 9.2 + 3.7 Commutative property
3 −8.3 + (4.4 + 9.2 + 3.7) Associative property
4 −8.3 + 17.3 Simplify
5 9 Simplify

Answers

Answer:

0.2

Step-by-step explanation:

PLEASE help me
this is a 45°-45°-90° triangle.
solve for a.

Answers

Answer:

a = 8

Step-by-step explanation:

45° - 45° - 90° triangle

1 - 1 - √2

8 - 8 - √8

Jacob is twice as heavy as Ken Linda is half as heavy as Ken Giver 3 children is at least 35 kg. a By letting Linda's mass be x, write an inequality for the total mass of the 3 children b. Hence, find the minimum mass of Ken Monica wanted to buy x notebooks at $3.50 each and 15 rulers at $(x+0.20) each She had a budget of $105 only c. Write an inequality for Monica's total expenditure . Hence, how many notebooks can she buy at most? ​

Answers

==> she can buy 45 notebooks at most.

[tex] \: \: \: \: [/tex]

Please help :( Algebra 2 Question


A child arranges toy action figures into rows. The first row has three action figures and each row after the first has six more figures than the row before it. Write a rule for the number of action figures in the nth row. If there are nine , how many action figures are there?

Answers

Answer:

number of action figures = 3 + 6(n-1)

at n = 9: number of action figures = 51

Step-by-step explanation:

first row: 3

second row: 6 more than the row before it (3) = 6 + 3 = 9

third row: 6 + 9 = 15

arithmetic series: [tex]a_n = a_1 + (n-1)d[/tex], where

[tex]a_n[/tex] is the nth term in the output

[tex]a_1[/tex] is the first output

n is the input

d is the difference between terms

here, we are given the row, and we want to figure out the number of action figures. thus, row = input and number of action figures = output.

the first output, in the first row, is 3

the difference between the number of action figures in each row is 6

thus, our formula is

[tex]a_n = 3 + (n-1)6 = 3 + 6(n-1)[/tex]

when the row is 9, the number of action figures is equal to

3 + 6(9-1) = 3 + 6 * 8 = 51

Researchers capture and mark 43 squirrels in a park. The next week, researchers capture 50 squirrels and 38 of them are marked from the previous month. Estimate the squirrel population in the park.

Answers

The question is an illustration of sample and population, and the estimate of the population of squirrel in the park is 55

How to determine the population of squirrel?

The given parameters are:

Marked squirrels = 43

Captured squirrels = 50

Of the 50 captured squirrels, 38 are from the marked squirrels.

This means that the number of unmarked squirrels is:

Unmarked = 50 - 38

Evaluate

Unmarked = 12

The population of the squirrel is then calculated using:

Population = Marked + Unmarked

So, we have:

Population = 43 + 12

Evaluate the sum

Population = 55

Hence, the estimate of the population of squirrel in the park is 55

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I think it’s
True
False
True
False
True

Answers

Answer:

False

False

True

True

True

Step-by-step explanation:

Answer:

False

False

True

True

True

Step-by-step explanation:

up ;)

A 15kg bag of strawberry for $8

Answers

Answer:

see below

Step-by-step explanation:

Not sure what you are looking for :

15 kg / $8    = 1.875   kg  per dollar

$8 / 15 kg =  .533  dollars per kilogram

Answer number 11 please thank you

Answers

Answer:

A. No

B. No

C. Yes

D. No

jfzisossyokszkvgtis

Identify the area of the polygon with vertices & C(3,3) A(8,-2). S(3,-4), and H(0, -2)
A = 31.5 units^2
A = 28 units^2
A = 25 units^2
A = 35.5 units^2
help me solve this w/work!! tyyyy​

Answers

The vertices of the polygon form a trapezoid, and the area of the polygon is 28 unit squares

How to determine the area of the polygon?

The vertices are given as:

C = (3,3)

A = (8,-2)

S = (3,-4)

H = (0, -2)

The area of the polygon is calculated using:

[tex]A = \frac 12 \sum\limits^{n-1}_{k = 0}(x_ky_{k+1} - y_kx_{k+1})[/tex]

So, we have:

A = 1/2 * |(3 * -2 - 8 * 3 + 8 * -4 - 3 * -2 + 3 * -2  - 0 * -4 + 0 * 3 -3 * -2)|

Evaluate

A = 1/2 * |-56|

Remove the absolute bracket

A = 1/2 * 56

Evaluate the product

A= 28

Hence, the area of the polygon is 28 unit square

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What is the range of the function shown in the graph

Answers

Answer:

( -3 , ∞)

Step-by-step explanation:

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