Answer:
The principal amount was $23,393.45
Step-by-step explanation:
The total amount paid on a 35 year loan was $98,000 at the rate of interest 4.1%
We will calculate Principal amount by this formula
Where A = amount (98,000)
P = Principal amount (P)
r = rate of interest 4.1% (0.041)
n = number of compounding interest monthly (12)
t = time (35 years)
98,000 = P(4.189386)
= 4.189386P = 98,000
P =
P = 23,392.4494 ≈ $23,392.45
The principal amount was $23,393.45
Answer:
Time required by Machine B to create a widget = 4 hours
Step-by-step explanation:
Time taken by Machine A ( ) = 3 hours
Time taken by Machine B ( )= x hours
Time taken by both machines by working together = 12 hours
The time required to both machines by working together to finish a task is given by the formula =
Put the values in above formula we get
⇒ T =
⇒ 12 =
⇒ 36 + 12 x = 3 x
⇒ x = - 4 hours
This is the time required by Machine B to create a widget.
Answer:
see explanation
Step-by-step explanation:
To show f and g are inverses we require to show that
f(g(x)) = x and g(f(x)) = x
f(g(x))
= f(6x - 4)
= =
= x
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g(f(x))
= g( )
= ( 6 × ) - 4
= x + 4 - 4 = x
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Hence f and g are inverses