# 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

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)

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

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

According to definition of speed,

=>distance = speed x time

= 0.00125 km

Hence, Princess Gray down will moved by 0.00125 km.

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

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

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?

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:

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

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

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?​