Since <em>N</em>/2 leaves a remainder, <em>N</em> must be odd and ends with 1, 3, 5, 7, or 9.
<em>N</em>/5 also leaves a remainder, so <em>N</em> is not divisible by 5, so it does not end in 5.
The only correct choice is then 9, since
1 = 0•5 + 1 and 1 = 0•2 + 1
3 = 0•5 + 3 and 3 = 1•2 + 1
7 = 1•5 + 2 and 7 = 3•2 + 1
9 = 1•5 + <u>4</u> and 9 = 4•2 + <u>1</u>
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Alternatively, the given information is equivalent to saying
Then you can use the Chinese remainder theorem to find <em>N</em>.
We can wrap 12 presents. multiply the number of yards by the feet.
We are given that triangle AOB
Answer:
#a. $80
#b. $1680
Step-by-step explanation:
We are given;
- Amount invested (principal) is $1600
- Rate of interest is 5%
- Time = 1 year
We are required to determine the amount of simple interest earned and the amount or balance in the account after 1 year.
#a. Interest earned
To calculate simple interest we use the formula;
I = (PRT) ÷ 100
Where, P is the principal, R is the rate, T is the time and I is the simple interest.
Therefore;
I = (1600 × 5 × 1) ÷ 100
= $80
Therefore, simple interest earned is $80
#b. Balance of the account (Amount accrued)
We are going to use the formula;
A = P + I , where A is the amount accrued, P is the principal and I is the simple interest earned.
Therefore;
Account balance = $1600 + $80
= $1680
Thus, the account balance after 1 year will be $1680
Angles 7, 6, 3, 2 are all vertical angles, which mean they are congruent (equal)
so if angle 7 is 115° so are 6, 3, and 2
so the measure of angle 2 is 115°
