Answer:
252 = 22 × 32 × 7;
58 = 2 × 29;
Multiply all the prime factors, by the largest exponents.
Least common multiple:
lcm (252; 58) = 22 × 32 × 7 × 29;
lcm (252; 58) = 22 × 32 × 7 × 29 = 7,308
the numbers have common prime factors
The probability that the student selected at random is a freshman is; 29%
<h3>How to find the Probability?</h3>
From the given table;
Total number of male students = 4 + 6 + 2 + 2 = 14
Number of freshmen students = 4 students
Thus;
Probability that the student selected at random is a freshman is;
P(Freshman | Male) = 4/14 * 100% = 28.57% ≈ 29%
Read more about Probability at; brainly.com/question/251701
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Answer:
$52284
Step-by-step explanation:
Given data
Rate= 1.5%
Principal= $50,000
Time = 36 months = 3 years
For the final amount A, let us apply the compound interest formula
A= P(1+r)^t
subtsitute
A=50000(1+0.015)^3
A=50000(1.015)^3
A=50000*1.045678375
A=52284
Hence the balance after 36 months (3 years) is $52284
Answer:
$3599.57
Step-by-step explanation:
Using the compound interest formula Accrued Amount = P (1 + r)^t
where Accrued amount is to be determined
P = principal; $3200
r = 4% = 0.04
t = number of years = 3
Therefore
Accrued amount = 3200 (1 + 0.04)^3
= 3200 x 1.04^3
= 3200 x 1.1249
= 3599.57
The total amount after 3 years is $3599.57