Answer:
The correct answer is 2.45.
Step-by-step explanation:
Probability model of an office manager regarding reports from employees is given by:
X = 0; P(X) = 0.05
X = 1; P(X) = 0.15
X = 2; P(X) = 0.35
X = 3; P(X) = 0.25
X = 4; P(X) = 0.15
X = 5; P(X) = 0.05
Now expectation of number of emails that the manager would receive is given by X × P(X)
= 0 × 0.05 + 1 × 0.15 + 2 × 0.35 + 3 × 0.25 + 4 × 0.15 + 5 × 0.05
= 0 + 0.15 + 0.70 + 0.75 + 0.60 + 0.25
= 2.45
Answer:
Step-by-step explanation:
There's 24 students so I would do 5 × 24 which equals 120 so 420 - 120 is 300. Then 2 × 24 is 48. Now 300-48 is 252. They would have $252 left.
I used to when I was younger.
Answer:
$149.66
Step-by-step explanation:
Step 1
Calculate Total Amount payable to the bank using compound interest
Total Amount payable (A) =
P(1 + r/n)^nt
P = Principal = $2000
r = Interest rate = 9% = 0.09
n = compounding interest = quarterly = 4
t = time in years = 2
Total Amount payable
= 2000(1 + 0.09/4)^0.09 × 2
A = $ 2,389.66
Interest = A - Principal
= $ 2,389.66 - $ 2,000.00
I (interest) = $ 389.66
Step 2
Calculate the Total amount payable to his uncle using simple interest.
Total Amount (A) = P(1 + rt)
P = Principal = $2000
r = Interest rate = 6% = 0.06
t = time in years = 2
A = 2000(1 + 0.06 × 2)
A = $2,240
A - Principal
= $ 2,240 - $ 2,000.
I (interest) = $240
Step 3
The amount of money you will save by borrowing the money from your uncle is calculated as:
Amount payable to the bank - Amount payable to your uncle
= $ 2,389.66 - $2,240
= $149.66
Therefore, the amount of money you will save by borrowing the money from your uncle is $149.66
Answer:
80%
Step-by-step explanation:
