Answer:
16 hours
Step-by-step explanation:
let t be time, n the number of computers and w the number of workers, then
t = 
← k is the constant of variation
To find k use the condition n = 30, w = 6 and t = 10 , then
10 = 
( multiply both sides by 6 )
60 = 30k ( divide both sides by 30 )
2 = k
t = 
← equation of variation
When w = 5 and n = 40 , then
t = 
= 
= 16 hours
Answer:
Total length of the first swing=64 m
Step-by-step explanation:
The total length of all four swings can be expressed as;
Total length of all 4 swings=Length of first swing+length of second swing+length of third swing+length of fourth swing
where;
Total length of all 4 swings=175 m
Length of first swing=x
Length of second swing=75% of length of first swing=(75/100)×x=0.75 x
Length of third swing=75% of length of second swing
Length of third swing=(75/100)×0.75 x=0.5625 x
Length of fourth swing=75% of length of third swing
Length of fourth swing=(75/100)×0.5625 x=0.421875 x
replacing;
Total length of all 4 swings
175=x+0.75 x+0.5625 x+0.421875 x
2.734375 x=175
x=175/2.734375
x=64
Total length of the first swing=x=64 m
Answer:
See below
Step-by-step explanation:
16 + (18 + 10) = (x + 18) + 10x
16 + 28 = (x + 18) + 10x Add like terms in the parentheses
44 = (x + 10x) + 18 Use the community property to regroup like
terms
44 = 11x + 18 Simply
<u>-18 = -18</u> Substract 18 from both side
26 = 11x Simply
<u>26</u> = <u>11x</u> Divide by 11
11 11
Reduce
The answer is no solution
Answer:
$17,771.92
Step-by-step explanation:
A = P (1 + r/n)^nt
A = Future value (the answer you're trying to find)
P = Initial deposit ($1000)
R = Interest rate (8.25%; this will be represented as a decimal in the equation (.0825))
N = # of times interest is compounded per unit t (12)
T = Time (35)
35 * 12 = 420
1000 (1 + .0825/12)^420
1000(1.006875)^420
1000*17.77191635
A = $17,771.92 (rounded to the nearest hundredths)
