Sandy's cost equation is y = 5x + 10 where y = cost and x = number of children.
Kimmi's cost equation is y = 25 where y = cost.
The fees are the same when x = 3 in other words when Sandy babysits 3 children.
That is found by solving 5x + 10 = 25 for x.
Subtract 10 from each side: 5x = 15
Divide by 5 on both sides: x = 3
Answer:

Step-by-step explanation:
In this problem we have an exponential function of the form

where
a is the initial value
b is the base
The base is equal to
b=1+r
r is the average rate
In this problem we have
a=23,000 members
r=5%=5/100=0.05
b=1+0.05=1.05
substitute

x ----> is the number of years since 1985
How many members will there be in 2020?
x=2020-1985=35 years
substitute in the function

Round to the nearest thousand

Green's theorem doesn't really apply here. GT relates the line integral over some *closed* connected contour that bounds some region (like a circular path that serves as the boundary to a disk). A line segment doesn't form a region since it's completely one-dimensional.
At any rate, we can still compute the line integral just fine. It's just that GT is irrelevant.
We parameterize the line segment by


with

. Then we find the differential:


with

.
Here, the line integral is





as required.
The next term in the sequence is 6, as each term is reduced by 7 each time. =)
Answer:
13°
Step-by-step explanation:
2z + 5° + 5z - 6° = 90° { being complementary angles }
7z = 90° + 1°
7z = 91°
z = 91° / 7
z = 13°
Hope it will help :)