Let x + 1.5 be length of segment above left hand
Let 2x be length of segment below left hand
15 = x + 1.5 + 2x
15 = 3x + 1.5
15 - 1.5 = 3x
13.5 = 3x
13.5/3= 3x/3
4.5 = x
x = 4.5
This is the length above the left hand.
2x must be then 4.5*2 = 9 foot
This is the length below the left hand.
Checking
4.5 + 9 + 1.5 = 15 foot
Adding length below left hand & length of left hand to right hand:
9 + 1.5 = 10.5
The right hand is hence 10.5 foot far up the pole.
Answer:
After 9 years the account will be worth 13709.60$
Step-by-step explanation:
We are given the following in the question:
We are given the following in the question:
P = $8000
r = 6% = 0.046
n = 12
The compound interest is given by:
where A is the amount, p is the principal, r is the interest rate, t is the time in years.
Putting the values, we get,

Thus, after 9 years the account will be worth 13709.60$
3(x - 1) = 2x + 9
3x - 3 = 2x + 9
3x (-2x) -3 (+3) = 2x (-2x) + 9 (+9)
(3x -2x) = (9 + 9)
(x) = (18)
x = 18
x = 18 is your answer
hope this helps
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.