Tyson and Ariana each invested $2,500 in separate accounts. Tyson’s interest rate is 5.75% and is compounded annually. Ariana’s simple interest rate is 5.75%. Neither will make any additional deposits or withdrawals. At the end of 6 years, how much more has Tyson earned? Round your answer to the nearest cent.

Answers

Answer 1
Answer:

Answer:

Tyson's account will have $ 133.90 more than Ariana's account.

Step-by-step explanation:

In Tyson's case, he invests $ 2,500 in an account whose interest rate is 5.75% and is compounded annually. In turn, Ariana invests the same amount and for the same interest, but this is not compounded.

Thus, Ariana, at the end of her 6 years, will have a total amount in her account of $ 3,362.5 (((2,500 x 5.75 / 100) x 6) + 2,500), of which $ 862.5 will correspond to the interest generated.

Instead, Tyson's investment interests will be consolidated annually. Thus, in 6 years, this investment will evolve as follows:

-Year 1 --- 2,500 x 1.0575 = 2,643.75

-Year 2 --- 2,643.75 x 1.0575 = 2,795.76

-Year 3 --- 2,795.76 x 1.0575 = 2,956.52

-Year 4 --- 2,956.52 x 1.0575 = 3,126.52

-Year 5 --- 3,126.52 x 1.0575 = 3,306.29

-Year 6 --- 3,306.29 x 1.0575 = 3,496.40

Thus, at the end of the 6 years, Tyson will have $ 3,496.40 in his account. Thus, Tyson's account will have $ 133.90 more than Ariana's account.


Related Questions

After school, a student jogged from school to the library. it took the student 35 minutes to get to the library, where he spent 10 minutes browsing and checking out a book. he then walked to the coffee shop, on the same street, in 15 minutes. he spent 40 minutes sitting at a table in the coffee shop and reading the book before heading home. he walked home in 25 minutes and remain there until the next morning.
What is the approximate circumference of a circle with a radius of 3 centimeters?
The sum of two consecutive integers is -39. List the two numbers from smallest to greatest
1.25 = (d/32) + (d/48)
A small theater had 9 rows of 25 chairs each. An extra 6 chairs have just been brought in. How many chairs are in the theater now?

Lysera enjoys exploring her land on horseback with its lush green valleys and ancient forests. She can cover a great deal of ground on her horse, Princess Grey Dawn, traveling at 9 km/h. Unfortunately Lysera has allergies. How far would Lysera and Princess Gray Dawn have moved while Lysera’s eyes were shut for 0.50 s during a hard sneeze? (answer in kilometers)

Answers

Answer:

0.00125 km.

Step-by-step explanation:

Given,

  • Speed of the horse on which princess travelling, v = 9km/h
  • Time taken by Lysera to sneeze = 0.5 s

As we know

     1 hour = 3600 seconds

=>\ 1\ second\ =\ (1)/(3600)\ hour

=>\ 0.50 second\ =\ (1)/(3600)* 0.50

                             =\ 1.38* 10^(-4)\ hour

So, time taken by Lysera to sneeze can be given by,

t\ =\ 1.38* 10^(-4)\ hour

According to definition of speed,

Speed\ =\ (distance)/(time)

=>distance = speed x time

                  =\ 9\ km/h* 1.38* 10^(-4)\ hour

                  = 0.00125 km

Hence, Princess Gray down will moved by 0.00125 km.

How do I use the distributive property to express 15+45

Answers

the answer is3(5+15)

Select all of the solutions to the original equation X=4X equals -16 X equals minus 4X equals 16 X equals minus 8X equals minus 1X equals one X equals eight

Answers

Answer: i don´t know the answer sorry

Step-by-step explanation:

Software to detect fraud in consumer phone cards tracks the number of metropolitan areas where calls originate each day. It is found that 1% of the legitimate users originate calls from two or more metropolitan areas in a single day. However, 30% of fraudulent users originate calls from two or more metropolitan areas in a single day. The proportion of fraudulent users is 0.01%. If the same user originates calls from two or more metropolitan areas in a single day, what is the probability that the user is fraudulent?

Answers

Answer:

the probability that the user is fraudulent is 0.00299133

Step-by-step explanation:

Let be the events be:

G: The user generates calls from two or more areas.

NG: The user does NOT generate calls from two or more areas.

L: The user is legitimate.

F: The user is fraudulent.

The probabilities established in the statement are:

P (G | L) = 0.01//P (G | F) = 0.30//P (F) = 0.0001//P (L) = 0.9999//

With these values, the probability that a user is fraudulent, if it has originated calls from two or more areas is:

P (F|G) = (P(F\bigcap G))/(P(G)) = (P(F)P(G|F))/(P(G)) = (P(F)P(G|F))/(P(F)P(G|F)+P(L)P(G|L))

((0.0001)(0.30))/((0.0001)(0.30)+(0.9999)(0.01)) = 0.00299133

Given the digits 2,5,7,9, 4, and 1, how many 4-digit codes can be made if 4 pointsthe first digit must be even and the last digit must be greater than 6?
80
120
48
144

Answers

Answer:

144

Step-by-step explanation:

first digit of the code: only 2 and 4 are the only even numbers availible, so only 2 possibilities for the first digit.

2nd digit of code: 2,5,7,9,1 so 6 possibilities for the 2nd digit.

3rd digit of code: 2,5,7,9,1 so 6 possibilities for the 3rd digit.

4th digit of code: only 7 and 9 are greater tyhan 6 so only 2 possibilities for the 4th digit.

SO...

2 x 6 x 6 x 2 = 144

A fire ranger stands atop an observation tower 70 feet above the ground and sees a fire in the distance. She measures the angle of depression from where she is to the fire and finds it to be 34° How far away from the base of the tower is the fire?​

Answers

Answer:

103.78\:\mathrm{ft}

Step-by-step explanation:

We can form a right triangle where the distance between the ranger's current position and fire is the hypotenuse of the triangle. In a right triangle, the tangent of an angle is equal to its opposite side divided by the hypotenuse.

Therefore, we have:

\tan 34^(\circ)=(70)/(x), where x is the distance between the base of the tower and the fire.

Solving, we get:

x=(70)/(\tan 34^(\circ))=103.779267796\approx \boxed{103.78\:\mathrm{ft}}