<span>If you deposit(P) $6,800 in a money-market account that pays an annual interest rate(r) of 5.7%. The interest is compounded quarterly(4). [ The money you have after 3 years(t) is: Using the compound interest formula A=P(1+r/n)^nt, where P=$6800, r=57%=.057,t=+3, n=4. A=$6,800(1+(0.057/4))^(3x4) =$6,800(1+0.01425)^12 =$6,800(1.01425)^12 =$6,800(1.18505961016) =$8,058.41. ]</span>
Explanation:
A "reduced" fraction is one that has mutually prime numerator and denominator. That is, the numerator and denominator have no common factors.
A fraction is "reduced" by canceling common factors from numerator and denominator. If "a" is a factor common to the numerator and denominator of a fraction, that fraction can be written with "a" canceled from each:

Here is a numerical example:

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A numerator factor and a denominator factor "cancel" because their ratio is 1, the identity element for multiplication. Anything times 1 is just that thing.
Answer:
1/10
Step-by-step explanation:
There are 4 prime numbers from 1 to 10 (2,3,5,7). This makes the probability of getting a prime number as 4/10 = 2/5.
The probability of getting one tail is 1/2, making the proability of getting 2 to be (1/2)^2 = 1/4.
Multiply both probabilities together, and you get 2/5 * 1/4 = 1/10
Step-by-step explanation:
∫ (sec x − tan x) dx
∫ sec x dx + ∫ -tan x dx
∫ (sec²x + sec x tan x) / (sec x + tan x) dx + ∫ (-sin x / cos x) dx
ln(sec x + tan x) + ln(cos x) + C
Answer:
Step-by-step explanation:
25
5,000 divided by 200