Answer:
Lauren's saving=$180
Fiona's saving=$96
Step-by-step explanation:
Let the saving's of fiona be x
Now given that the savings of lauren is $84 more than fiona which means the saving's of lauren is x+84
Given 1 fifth Of Lauren's saving was the same as 3 eights of fiona's Saving




Therefore the saving's of fiona is $96 and the saving's of Lauren's is 96+84=$180
50 divide to find the answer
Answer:
1/10 per sec
Step-by-step explanation:
When he's walked x feet in the eastward direction, the angle Θ that the search light makes has tangent
tanΘ = x/18
Taking the derivative with respect to time
sec²Θ dΘ/dt = 1/18 dx/dt.
He's walking at a rate of 18 ft/sec, so dx/dt = 18.
After 3seconds,
Speed = distance/time
18ft/sec =distance/3secs
x = 18 ft/sec (3 sec)
= 54ft. At this moment
tanΘ = 54/18
= 3
sec²Θ = 1 + tan²Θ
1 + 3² = 1+9
= 10
So at this moment
10 dΘ/dt = (1/18ft) 18 ft/sec = 1
10dΘ/dt = 1
dΘ/dt = 1/10 per sec
Answer:
3820 years
Step-by-step explanation:
The age of the skull can be found using carbon-14 by applying the half-life relationship.
Age of skull is given by;

where N=63 N₀=100 -0.693=decay factor of carbon and 5730 =half-life of carbon-14, t =age
substitute values in equation

Answer
I think 10
Hope this help