Answer:

Step-by-step explanation:
Our expression:

If we know
, let's substitute
, for
, in our expression:

Multiply:

Answer:
$557.51
Step-by-step explanation:
A financial calculator tells you the payments are ...
on $80,000 at 4.75%: $417.32
on $20,000 at 7.525%: $140.19
Then the total monthly payment is ...
$417.32 +140.19 = $557.51
_____
You can use the amortization formula to find the payment (A) on principal P at interest rate r for t years to be ...
A = P(r/12)/(1 -(1+r/12)^(-12t))
I find it takes fewer keystrokes to enter the numbers into a financial calculator. Both give the same result.
Answer:
See below
Step-by-step explanation:
1 . Missing angle
Sum of interior angles in the triangle = 180°
- 180° - (105° + 29°) = 36°
2. Angle 1
- Angle 1 is exterior angle of the triangle
- Angle 1 = 55° + 78° = 133°
3. Angle 2
- Angle 2 = 180° - (55° = 78°) = 47°
4. The sum of exterior angle and adjacent interior angle equals 180°
If they are equal, then each will measure 180°/2 = 90°
So it is possible with the right triangle
Answer is in the attached figure.
Answer:
181 MP3 players
Step-by-step explanation:
Given data:
Replacement of MP3 that fail within 3 years
expected lifetime of MP3 = 5 years
number of MP3 players purchased = 1000
number of MP3 players replaced in the first year = ?
To determine the number of MP3 replaced in the first year we will employ this formula:

a = ∞
since the given problem is an exponential distribution
1/u = 5 hence u = 0.2
next we will determine the number of MP3's to fail in its first year of purchase
qo = failure
po = success
number of purchase = 1000
attached below is the remaining part of the solution