Step-by-step explanation: Let
Let
y
be the total fee, and
x
the number of months.
Equation 1:
y
=
50
+
55
x
Equation 2:
y
=
200
+
45
x
Solve the system for
x
and
y
:
50
+
55
x
=
200
+
45
x
10
x
=
150
x
=
15
y
=
200
+
45
(
15
)
y
=
875
∴
The total amount paid to both gyms is equal after
15
months and will be
$
875
.
Hopefully this helps!
The factors for 24 and 52 are 1,2, and 4.
Answer:
Step-by-step explanation:
In this problem we have a exponential function of the form
where
x is the time in hours
y is the numbers of bacteria
a is the initial value
b is the base
r is the rate of growth
b=(1+r)
we have that
For x=8, y=3,300
substitute in the exponential function
solve for b
![b=\sqrt[8]{1.1}](https://tex.z-dn.net/?f=b%3D%5Csqrt%5B8%5D%7B1.1%7D)
Find the value of r
The equation is equal to
For x=12 hours
substitute the value of x in the equation
Answer:
4x
Step-by-step explanation:
it will always be the Number beside the variables
The formula for the vertical height, h, attained with a vertical take off speed of u is
u² - 2gh = 0
where
g = 9.8 m/s², acceleration due to gravity.
Because h = 1.29 m, therefore
u² = 2*9.8*1.39 = 27.244
u = 5.2196 m/s
Also, the time of flight, t, required when the vertical take-off speed is u is given by
ut - 0.5gt² = 0.
Therefore
5.2196t - 0.5*9.8*t² = 0
5.2196t - 4.9t² = 0
t(5.2196 - 4.9t) = 0
t = 0, or t = 5.2196/4.9 = 1.0652 s
t = 0 corresponds to take-off.
t = 1.0652 s corresponds to landing.
The hang time is 1.0652 s.
Answer:
Take-off speed = 5.22 m/s (nearest hundredth)
Hang time = 1.065 s (nearest thousandth)
