Answer:
1348 light years.
Step-by-step explanation:
Please find the attachment.
Let x represent the distance between KA-7 and KA-11.
We have been given that the first system, KA-7, is 1200 light years away while the second system, KA-11, is 1700 light years away. Lucy sees an angle of 52 degrees between KA-7 and KA-11.
We can see from our attachment that Lucy, KA-7 and KA-11 forms a triangle and we will use law of cosines to solve for x.
Upon substituting our given values in above formula we will get,
Let us take square root of both sides of our equation.
Therefore, KA-7 and KA-11 are approximately 1348 light years apart.
Answer:
No g(x) = x/6 for (60, 10) to be a possible solution
by this function 60 people would have to donate 1/6th of a garment each to achieve 10 full garments
Step-by-step explanation:
g(x) number of items
x number of people
the data point (60, 10) make sense as a possilbe solution NO
g(x) = number of items x = 60 g(x) = 10
g(60) = x/6 = 10
= 60/10
by this function 60 people would have to donate 1/6th of a garment each to achieve 10 full garments
Answer:
See below. The equation is incorrect and information on the other company is not given.
Step-by-step explanation:
The equation is not correct for the information given. It should be
t=5<u>0</u>+20h not 5<u>6</u> (represents the $50 initial fee)
10 hours would be: t = 50 + 20(10)
t = $250
Compare $250 to the charge for the unknown company.
Answer: lt will take 28.09 years for the account value to reach $37800
Step-by-step explanation:
Hi, to answer this question we have to apply the compounded interest formula:
A = P (1 + r) t
Where:
A = Future value of investment (principal + interest)
P = Principal Amount
r = Annual Nominal Interest Rate (decimal form)
Replacing with the values given
37800= 9600 (1+0.05)^t
Solving for t (years)
37800/9600 = 1.05^t
3.9375 = 1.05^t
log 3.9375 = log 1.05^t
log 3.9375 = t (log 1.05)
log 3.9375/log 1.05 = t
t = 28.09 years
