Step-by-step explanation:

If it helps, write as a product of fractions, grouped by variable.

Now reduce using exponent rules.

Assuming you have enough quantities, you could get anything ranging from 15% to 25%. That is, 29% is out of range!
Answer:
$6386.1140
Step-by-step explanation:
Using the compound interest formula :
A = P(1 + r/n) ^nt
P 5500 ; rate, r = 10% = 0.10 ; t = 18 months = 18/12 = 1.5 years,
Compounding times per period = 12 (monthly)
A = 5500(1 + 0.1/12)^12*1.5
A = 5500(1 + 0.0083333)^18
A = 5500(1.0083333)^18
A = 5500 * 1.1611116
A = 6386.1140
Hence, amount to be repaid = $6386.1140
Note: Consider the expression is
.
Given:

To find:
The value of given expression in the form of
.
Solution:
We have,

Using distributive property, we get



On combining like terms, we get


On comparing with
, we get

Therefore, the required form is
.
N = 20, the number of questions
p = 1/5 = 0.2, the probability of making a correct guess
q = 1 - p = 0.8, the probability of making an incorrect guess.
Expected success = 60% or 6 of 10.
From the binomial distribution,
P(6 of 10) = ₁₀C₆ p⁶q⁴
= 210*0.2⁶*0.8⁴ = 0.0055
Answer: 0.0055