Answer:
a) $8 interest
b) 32% annual rate
Step-by-step explanation:
<h3>a)</h3>
The interest is the excess of the payment over the amount borrowed:
$58 -50 = $8 . . . amount of interest
__
<h3>b)</h3>
The interest rate is the fraction of the original amount that is interest:
8/50 = 16/100 = 16% . . . . 6-month rate
Usually, we express the rate as an annual rate, so we need to divide this percentage by the number of years. 6 months is 1/2 year, so ...
r = 16%/(1/2) = 32% . . . . annual interest rate
_____
<em>Additional comment</em>
The amount of interest is computed using the formula ...
I = Prt . . . . . P is the principal borrowed; r is the annual rate; t is the number of years
We can use this to find r, the annual rate:
I/(Pt) = r . . . . . divide by the coefficient of r
r = 8/(50·1/2) = 8/25 = 32/100 = 32% . . . . annual rate
Answer:
What are you asking for us to solve? the Inverse Operation, Exact Value, Simplify and etc
Step-by-step explanation:
A picture would be nice please.
Solve:
Do the parenthesis first, so 4*9=36
Now multiply it by 1.
1*36=36
Final answer: 36
Answer and explanation:
Please find explanation attached
Answer:
a. 0.00069
b. 0.063
c.0.00095
Step-by-step explanation:
a. Probability that exactly 5 men consider themselves professional baseball fans:-
Here, there's a 63/100 or 63% possiblity that five (5) men consider themselves fans and of course, a 37/100 possibility that the other 5 men consider themselves non fans. Each of these must be multiplied and then the result will be the probability that exactly five men consider themselves baseball fans:-
(63/100)^5 × (37/100)^5
= 0.09924 × 0.006934
= 0.000688
Therefore the probability that 5 consider themselves baseball fans is 0.00069
b. The probability that at least 6 are fans:-
In this case, each of the 6 men have some 63/100 or 63% possibility of being a fan.
We therefore multiply 63/100 by itself up to six times
i.e 63/100 × 63/100 × 63/100 × 63/100 × 63/100 × 63/100
or (63/100)^6
= 0.06252
The probability that at least 6 men consider themselves professional baseball fans is 0.063
c. Probability that less than four consider themselves baseball fans:-
In this scenario, it means that at least 7 men out of the ten do not consider themselves professional baseball fans. We then simply multiply 37/100 by itself up to seven times. It isn't too necessary what the remaining three are.
= (37/100)^7
= 0.0009493
Therefore the possibility that less than four men do not consider themselves baseball fans is 0.00095
