Consider the following two loans for P=$5,000. Loan A: 2.5 year loan, annual interest rate of 12%. Loan B: 5 year loan, annual interest rate of 6%. Both loans are paid monthly, and their interest is compounded monthly. Calculate the absolute difference between the total interest paid on both loans. Round your answer to the nearest cent.

Answers

Answer 1

53.5 dollars is the total interest paid on both loans.

What is Compound Interest ?

Compound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on principal plus interest.

Loan A :

CI = P(1 + R/100)∧(T) - P

CI = 5000(1 + 12/100)∧(5/2) - 5000

CI = 1637.66

Loan B :

CI = P(1 + R/100)∧(T) - P

CI = 5000(1 + 6/100)∧(5) - 5000

CI = 1691.13

difference between two CI

= 1691.13 - 1637.66

= 53.47

= 53.5 dollars

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Related Questions

please help, due today!

Find the length of the radius of the circle.
a. r = 3 d. r = 5
b. r = 4 e. r = 6
c. r = 4.5

Answers

Answer:

D) r=5

Step-by-step explanation:

Any triangle formed with one side of the triangle being the diameter of the circle it’s inscribed in will be a right triangle.

6²+8²=c²

36+64=c²

100=c²

√100=c

c=10

So the diameter is 10.  That makes the radius 5.

How can a shape have perdindicular but not parallel sides?

Answers

Answer:

Step-by-step explanation:

This uh

4
Which polynomial has the highest degree?
A 3x12 - 2x + x5
B 8x - 200
© 15x3 + 3x2 - 10
D 150x3

Answers

Answer: A.  [tex]3x^{12} - 2x + x^5[/tex]

Step-by-step explanation:

The degree in a polynomial is the greatest exponent of any term in that expression.

A. [tex]3x^{12} - 2x + x^5[/tex]

Here, highest exponent = 12

Degree of polynomial =12

B. 8x-200

Here, highest exponent = 1

Degree of polynomial =1

C. [tex]15x^3 + 3x^2 - 10[/tex]

Here, highest exponent = 3

Degree of polynomial =3

D. [tex]150x^3[/tex]

Here, highest exponent = 3

Degree of polynomial =3

Option A. has the polynomial with the highest degree as 12.

Answer:

A. 3x12 - 2x + x5

Step-by-step explanation:

Hope this helps

after adding 45% to a number we get 507.5 what was the number?​

Answers

Answer:

The number is   x = 507.05

Step-by-step explanation:

Step(i):-

Let 'x ' be the number

Given that adding 45% to a number and we get  507.5

Now, it can be written as

                   x + 45% = 507.5

Step(ii):-

The equation  

                  x + 0.45 = 507.5

subtracting '0.45' on both sides, we get

                 x = 507.5 - 0.45

                x = 507.05

Final answer:-

The number is   x = 507.05

A water tank holds 216 gallons but is leaking at a rate of 3 gallons per week. A second water tank holds 324 gallons but is leaking at a rate of 5 gallons per week. After how many weeks will the amount of water in the two tanks be the same?

Answers

Answer:

54  

Step-by-step explanation:

216 - 3x = 324 -5x

subtract 216 from both sides

add 5x to both sides

divide both sides by 2x.

The equation y=x^2-12x+45 models the number of books y sold in a bookstore x days after an award-winning author appeared at an autograph-signing reception.

How many books were sold at the autograph session?

What is the minimum nunber of books sold?

What day did that occur?

How many books were sold on day fifteen?​

Answers

Answer:

3.2

Step-by-step explanation:

Answer:

Answer: The first day the author reaches 100 days is on day 16.

To solve this problem, you could use a graphing calculator to graph the given equation. Then, determine when this line crosses 100. It crosses when x = 15.539. Therefore, we would have to round up to 16 so it is at least 100.

You could use the quadratic equation to solve: 100 = x^2 -12x + 45

Either you will get 16. If you use the quadratic formula, make sure to only use the positive answer.

Find the area, in square inches, of the following composite figure.

10 in
15 in
5 in
15 in
30 in

Answers

I think the answer it’s 15 in not 100% sure tho

Factorise 3x^2+11x-20​

Answers

Answer:

( 3 x − 4 ) ( x + 5 )

Step-by-step explanation:

Answer:

(3x+4) (x-5)

Reverse Check It If You Have Doubts

PLEASE SOLVE THIS! I will give you brainliest.

Answers

Answer:

657in squared

Step-by-step explanation:

CosB = 13/33 for which of the following
triangles?

Answers

Answer:

A

Step-by-step explanation:

they tell me what came out

The triangle for which Cos B = 13/33 is triangle D.

The given triangle is a right triangle. In order to use Cos B, the value of the adjacent side and the hypotenuse has to be known. The adjacent side is the side that is adjacent to angle B. The hypotenuse is the longest side of the triangle.

Triangle A: cos b = adjacent / hypotenuse

hypotenuse = √13² + 33² = 35.5

Cos B = 13 / 35.5

Triangle B: cos b = adjacent / hypotenuse

hypotenuse = √13² + 33² = 35.5

Cos B = 33 / 35.5

Triangle C: cos b = adjacent / hypotenuse

Adjacent = √33² - 13²  = 30.3

Cos B = 30.3 / 33

Triangle D: cos b = adjacent / hypotenuse = 13/33

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Bryan and Jadyn had barbeque potato chips and soda at a football party. Bryan ate 5 oz of chips and drank 1 cup of soda for a
total of 650 mg of sodium. Jadyn ate 1 oz of chips and drank 5 cups of soda for a total of 250 mg of sodium. How much sodium is
in 1 oz of chips and how much is in 1 cup of soda?

Answers

Answer:

1 oz of chips has 120mg of sodium, while in 1 cup of soda there are 50mg of sodium.

Step-by-step explanation:

This question can be solved by a system of equations.

I am going to say that:

x is the number of mg of sodium in 1 oz of chips.

y is the number of mg of sodium in a cup of soda.

Bryan ate 5 oz of chips and drank 1 cup of soda for a total of 650 mg of sodium.

This means that:

[tex]5x + y = 650[/tex]

Jadyn ate 1 oz of chips and drank 5 cups of soda for a total of 250 mg of sodium.

This means that:

[tex]x + 5y = 250[/tex]

From the first equation:

[tex]y = 650 - 5x[/tex]

Replacing in the second

[tex]x + 5(650 - 5x) = 250[/tex]

[tex]x + 3250 - 25x = 250[/tex]

[tex]25x = 3000[/tex]

[tex]x = \frac{3000}{25}[/tex]

[tex]x = 120[/tex]

[tex]y = 650 - 5x = 650 - 5*120 = 650 - 600 = 50[/tex]

1 oz of chips has 120mg of sodium, while in 1 cup of soda there are 50mg of sodium.

A line is perpendicular to y = - x - 2 and intersects the point (-5, 10)

Answers

Answer:

y = x + 15

Step-by-step explanation:

If two lines are perpendicular to each other, they have opposite slopes.

The first line is y = - x - 2. Its slope is -1. A line perpendicular to this will have a slope of 1.

Plug this value (1) into your standard point-slope equation of y = mx + b.

y = 1x + b or y = x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (-5, 10). Plug in the x and y values into the x and y of the standard equation.

10 = (-5) + b

Simplify.

10 = -5 + b

Now, add 5 to both sides to isolate b.

15 = b

Plug this into your standard equation.

y = x + 15

This equation is perpendicular to your given equation (y = -x - 2) and contains point (-5, 10)

Hope this helps!

This figure is made up of unit cubes , each with a volume of 1 cubic unit . What is the volume of the figure

Answers

Answer:

Easy! The answer is 100!

Count how many cubes are in each row, which is 10. Count how many stacks are there, which is also 10. 10 times 10 = 100!

Step-by-step explanation:

Answer:

r

Step-by-step explanation:

Help me find the answer please

Answers

Answer:

60

Step-by-step explanation:

m∠1=(55+65)/2=60

From the figure which is greater between a and Q​

Answers

Answer:

a

Step-by-step explanation:

the horizontal distance is shorter so the angle will be greater.

added:

tan a = AD/2a

tan Q - AD/3a

Just looking at the fractions AD/2a and AD/3a, the denominator of AD/2a is smaller so the resulting calculation will be greater, hence a is the larger angle.

Arsenic is an element that occurs naturally in groundwater, but a mean greater than 8.0 parts per billion indicates that the groundwater has been contaminated. Local officials are concerned about a well in an area of the city near a factory. On 50 consecutive days, water was randomly sampled from the well. Assume the water in the well has a mean arsenic level greater than 8.0 ppb. Based on the data, if we find moderate/strong evidence against the null hypothesis and conclude the mean arsenic level of the water is greater than 8.0 ppb, we have made ____________.

Answers

Answer:

Based on the data, if we find moderate/strong evidence against the null hypothesis and conclude the mean arsenic level of the water is greater than 8.0 ppb, we have made ____________.

a correct decision.

Step-by-step explanation:

Since there is enough evidence to conclude that the mean level of arsenic is greater than 8.0 ppb, the correct decision has been made.  There is no type I or type II error.   The type I error (called a false positive) occurs if we reject the null hypothesis when it is true.   Since we have simply rejected the null hypothesis when the alternate hypothesis is true, and the null hypothesis should be rejected, a correct decision has been made.

Answer:

decision

Step-by-step explanation:

Based on the data, if we find moderate/strong evidence against the null hypothesis and conclude the mean arsenic level of the water is greater than 8.0 ppb, we have made decision

In how many ways can a starting team of 5 players be chosen from a team of 14

Answers

Answer:

There are thousands of different combinations possible.

Step-by-step explanation:

is 2 a solution to 2x+3<2 ?

Answers

Answer:

no

Step-by-step explanation:

2(2) + 3 < 2  is a False statement; therefore, 2 is not a solution

What is 2 1/2+3 1/3 pretty please help I need this answer fast

Answers

Answer:

D. 5 5/6

Step-by-step explanation:

2 1/2 + 3 1/3

= [tex]\frac{5}{2}[/tex] + [tex]\frac{10}{3}[/tex]

= [tex]\frac{15 + 20}{6}[/tex]

= [tex]\frac{35}{6}[/tex] = 5 5/6

Answer:

5 1/3

Step-by-step explanation:  i am pretty sure


What is the surface area?
5 yards
5 yards
5 yards ​

Answers

Answer:

150 yards^2

Step-by-step explanation:

If all lengths are equal (assuming that the question refers to 5 yds x 5 yds x 5 yds) that means that it is a cube.

A cube has 6 faces and each face is 25 yds^2 (because of the 5 x 5 lenght sides)

If you multiply 25 by 6 (the amount of faces) you would get 150 yds^2

Answer:

usbdkhfjdnbdjdkfdbdbdnkccndndkckcjd. endkcn

240g= _____ kg

What’s is the answer??

Answers

Answer:

0.24

Step-by-step explanation:  

Answer:

0.24kg

Step-by-step explanation:

The answer is 0.24 kg since

1 gram equals 0.001 kg

1g = 0.001kg

Whats the slope of (-1,5) and (-2,-4)

Answers

Answer:

m=9

Step-by-step explanation:

I need this one, please

Answers

Answer:

eeeeeeeeeeeeeeeeeeeeeeeeeeeee

Edgar and his 4 friends want to share the cost of a meal equally. They order
3 large pizzas and 5 small drinks. If they leave a tip of $8.10, how much does
each person pay?

Answers

Answer:

Each person pays $9.72

Step-by-step explanation:

Add up the cost of the large pizzas, small drinks, and the tip, then divide by 5.

If 5 shirts and 5 sweaters cost $205, and 6 shirts and 9 sweaters cost $294, what is the cost of one shirt and what is the
cost of one sweater?

Answers

Answer:

one shirt 25.00 one sweater 16.00

Step-by-step explanation:

$\text{one shirt: }\$25,\text{ one sweater: }\$16$

Let x be the cost of one shirt and y be the cost of one sweater; then

5x+5y6x+9y=205=294

The augmented matrix for this system of equations is

[5659205294]

Using Gaussian elimination, divide row one by 5 to get

[161941294]

Multiply row one by −6 and add the result to row two to get

[10134148]

Divide row two by 3 to get

[10114116]

After back substitution, y=16 and x=25.

The cost of one shirt is $25 and cost of sweater is $16.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Let x be the cost of one shirt and y be the cost of sweater.

5 shirts and 5 sweaters cost $205

5x+5y=205...(1)

6 shirts and 9 sweaters cost $294

6x+9y=294...(2)

Multiply equation (1) with 6 and equation (2) with 5.

30x+30y=1230..(3)

30x+45y=1470...(4)

Subtract 3 and 4

30y-45y=1230-1470

-15y =  -240

Divide both sides by 15

y=240/15

y=16

Now plug in y value in any of the equation

5x+16(5)=205

5x + 80 = 205

5x = 125

Divide both sides by 5

x=25

Hence, the cost of one shirt is $25 and cost of sweater is $16.

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find the slope of each line​

Answers

Answer:

(1,1) and (2,-4)

Step-by-step explanation:

i supposed each line is 1,2,3,4,5 because it is not given the graph numbers but I hope it could help

If we have 9 candy bars and each student gets 1/3 candy barwith 10 students, how much of a sandwich does each student get? Explain using examples or drawings

Answers

Answer:

...................

Step-by-step explanation:

..

Survey. Short Answ...
Calendar
Cop
Question 2
A car is 180 inches long. A truck is 75% longer than the car.
How long is the truck? Use the table to help you.
Car
Length
(inches)
Percent

Answers

Answer:

Para la mayoría de las personas, comprar un auto es importante, solo superado por comprar una casa.

Por lo tanto, no nos sorprende que muchas personas de todo el mundo vayan a internet para investigar sobre fabricantes, modelos y opciones de financiamiento antes de comprar uno.

Los clientes hacen su propia investigación y tú deberías hacer lo mismo. Usa una encuesta online como alternativa para averiguar qué necesitan los clientes y qué puedes hacer para que tu concesionaria, agencia de alquiler, taller automotriz o empresa de autopartes y accesorios sea el lugar donde deseen comprar.

Crea una encuesta online hoy mismo

Comienza ya con una plantilla de encuesta diseñada por expertos o crea tus propias preguntas sobre autos. Además, te facilitaremos la recopilación de respuestas y el análisis de resultados.

Step-by-step explanation:

Answer:

penchegolmales gwe

Step-by-step explanation:

thats it thats all i konwe aloha

Bryan has coaught 14 of the 70 pokemon that are still currently at the park in pokemon go.what percent of pokemon does he stiñl need to catch?

Answers

Answer:

He still needs to catch 80% of the pokemon's.

Answer:80% are left.

attachment
look at it

Answers

Answer:

The first one 4(m-5)

Step-by-step explanation: 4 goes into M turning into 4m. Then 4 goes into 5 turning into 20 which is  4m-20

Number 1 4(m-5) i did that in 7th
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