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:
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.
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quarterly after 4 years
Answers
Answer:
$1,164.80
Step-by-step explanation:
Lets use the compound interest formula provided to solve this:
P = initial balance
r = interest rate (decimal)
n = number of times compounded annually
t = time
First, we need to change 6.5% into a decimal:
6.5% -> -> 0.065
Since the interest is compounded quarterly, we will use 4 for n. Lets plug in the values now:
The balance after 4 years will be $1,164.80
Answers
Answer:
total profit margin for all 12 concert is $6,400.
profit margin for all one concert is $533.33
Step-by-step explanation:
Amount of money received for one event = $1700
Total no of concert = 12
Total money received for 12 event = Amount of money received for one event * Total no of concert
Total money received for 12 event = $1700 *12 = $20,400
Total cost of sponsorship = $14,000
Profit margin is the difference money invested and money earned.
here total investment is $14,000
Total money earned is $20,400
Therefore profit margin = money earned - total investment
= $20,400 - $14,000 = $6,400
Therefore total profit margin for all 12 concert is $6,400.
However to calculate profit margin for one concert we can simply divide the total profit margin for all 12 concert by no of concert (i.e 12)
profit margin for one concert = total profit margin for all 12 concert/total no of concert = $6,400/12 = $533.33
profit margin for all one concert is $533.33
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What is the total surface area of cake that will be frosted?
Answers
Answer:
$22.5.
Step-by-step explanation:
The total revenue that is gained from the sales of the cakes is determined by multiplying the number of cakes by the price. If we let x be the number of $1 that should be deducted from the price and y be the total revenue,
y = (25 - x)(100 + 5x)
Simplifying,
y = 2500 + 25x - 5x²
We get the value of x that will give us the maximum revenue by differentiating the equation and equating the differential to zero.
dy/dx = 0 = 25 - 10x
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Answers
Answer:
2/6 or 1/3
(Please vote me Brainliest if this helped!)
Step-by-step explanation:
Call monkeys A, B and C and hats 1, 2 and 3
You have :
- A1, B2, C3 (all have the right hat)
- A2, B1, C3
- And so on.
Now, a little more advanced way to solve this is to count in your head. Each outcome gives you a permutation of {1, 2, 3} so there are 3! = 6 Outcomes. Now, if they all wear the wrong hat, you have two choices for the hat of A and then only one choices for B and C. For instance you can choose A2 or A3. If you choose A2 then you must choose B3 and C1.
Answers
Answer: It means depression
Step-by-step explanation:
Answer:
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12. (-2, -1) and (8, -3)
Answers
Answer:
11) 4/11
12) -0.2
Step-by-step explanation: