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!
You are going to use the cos trig function as you have the adjacent side and the hypotenuse.
Cos^-1(12/13)=angle x
22.62
