Answer:
30240
Step-by-step explanation:
There are 10 possibilities for the first time slot.
After that, there are 9 possibilities for the second time slot.
So on and so forth.
The number of ways five time slots can be assigned is:
10×9×8×7×6 = 30240
Or, using permutation notation, ₁₀P₅.
Answer:
(0,0), (-8,-8), (4,-8)
Step-by-step explanation:
(0 * 0, 0*0) = (0,0)
(-4*2,-4*2) = (-8,-8)
(2*2,-4*2) = (4,-8)
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Answer:
The bank loan out at $5000 at 9%
Step-by-step explanation:
A bank loaned out $20,000
Let x be the amount loaned at at the rate of 9% per year
So, 20000-x amount loaned at at the rate of 17% per year
Formula : 
Amount at 9% interest in 1 year
A=1.09x
Interest = Amount - Principal = 1.09x-x=0.09x
Amount at 17% interest in 1 year
A=1.17(20000-x)
Interest = Amount - Principal = 1.17(20000-x)-(20000-x)
We are given that the interest received in one year totaled $3000
So,1.17(20000-x)-(20000-x)+0.09x=3000
x=5000
So, the bank loan out at $5000 at 9%
The temperature at the beginning of the day was 6.2°F
Let x represent the temperature at the beginning of the day.
Since, the temperature of a city doubles during the day, and then decreases by 14.1ºF after the sun goes down, hence:
Temperature at end of day = 2x - 14.1
Also, the temperature at the end of the day is −1.7°F, hence:
2x - 14.1 = -1.7
2x = 12.4
x = 6.2°F
The temperature at the beginning of the day was 6.2°F
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