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Hunter-Best [27]
3 years ago
10

Jorgen Grace made deposits of $250 at the end of each year for 12 years. The rate received was 6% annually. What is the value of

the investment after 12 years?
Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
3 0
<span>Deposits made is $250, it is called Present value P = 250 Rate of interest r = 6% = 0.06 Time n = 12 years, 12 payments Investment value after n years FV = FV = P *(1+r) *(((1+r) ^ n) – 1)/r FV = 250 * (1 + 0.06) * (((1 + 0.06)^12) - 1)/0.06 FV = 250 * 1.06 * (((1.06)^12) - 1)/0.06 => FV = 250 * 1.06 * (2.012 - 1)/0.06 FV = 250 * 1.06 * 1.012/0.06 => FV = 250 * 1.06 * 16.87 FV = 250 * 17.88 => FV = 4470.5 So the final value of investment after 12 years is $4470.5.</span>
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4 years ago
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4 0
3 years ago
a. Set up an equation to represent the distance the cheetah covered in terms of t minutes running at maximum speed. Remember, un
SashulF [63]
The distance travelled by an object at time t is given by: d = stwhere d is the distance, s is the speed and t is the time.
Given that the cheetah travels a maximum of 70mph, the distance travelled by the cheetah travelling at 70mph at time t is given by d = 70t
There are 60 mins in one hour, so the distance given in miles per minutes is d = 70/60t = 1.167 miles per minutes.


Part B:
Given that t = 10 minutes, the distance covered by the cheetah in 10 minutes is d = 1.167 x 10 = 11.67 miles.


Part C:
If the cheetah sprinted at maximum speed for 8 minutes and then slowed to 40 mph for the next 8 minutes, then the number of minutes the cheetah have traveled in the first 8 minutes is given by
d = 1.167 x 8 = 9.33 miles.


Part D:
If the cheetah sprinted at maximum speed for 8 minutes and then slowed to 40 mph for the next 8 minutes, then the number of minutes the cheetah have traveled in the second 8 minutes is given by
d = 40/60 x 8 = 5.33 miles


Part E:
The distance the cheetah traveled in the first 8 minutes more than in the second 8 minutes is given by
9.33 miles - 5.33 miles = 4 miles.


Part F:
The ratio of the distance travelled in the first 8 minutes to the distance travelled in the next minutes is given by
9.33 : 5.33 = 1.75 : 1.
Therefore, the distance traveled by the cheetah during the first 8 minutes is 1.75 times greater than the distance traveled during the second 8 minutes.

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11. If Jennie's credit card uses the average daily balance method, how much was
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6 0
3 years ago
Read 2 more answers
There are 12 jurors sitting in a circle
STALIN [3.7K]
I believe you are asking in how many ways they can sit. If so:
The 1st can sit anywhere: he has only 1 way to sit
The 2nd can sit in 11 ways, since one seat is already occupied
The 3rd can sit in 10 ways, since 2 seat are already occupied
The 4th can sit in 9 ways, since 3 seat are already occupied
The 5th can sit in 8 ways, since 4 seat are already occupied
--------------------------------------------------------------------------------
The 12th can sit in 1 way, since11 seat are already occupied
General formula for a circular table:

Number of ways they n persons can be seated: (n-1)!
and the 12 can be seated in (12-1)! = 11! = 39,916,800 ways.
This is called circular permutation
3 0
3 years ago
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