Answer:
The rate of interest for compounded annually is 6.96 % .
Step-by-step explanation:
Given as :
The principal amount = Rs 4600
The time period = 5 years
The amount after 5 years = Rs 6440
Let The rate of interest = R %
<u>From compounded method</u>
Amount = Principal × 
or, Rs 6440 = Rs 4600 × 
Or, 
=
or, 1.4 =
Or, 
= 1 + 
or, 1.0696 = 1 +
or, = 1.0696 - 1
Or, = 0.0696
∴ R = 0.0696 × 100
I.e R = 6.96
Hence The rate of interest for compounded annually is 6.96 % . Answer
Answer:
2/3&1/6
2/3- 1/6
the LCM for 3 and 6 is 6
=(2x6)/(3x6) -(1x6)/(6x6)
=4/6-1/6
=(4-1)/6
find the difference
= 3/6
=1/2
2/3-1/6= 1/2
By using LCM method, 1/2 is the equivalent fraction by subtracting 1/6 from 2/3.
2/3&1/6
2/3- 1/6
cross multiply
2x6-1x3/3x6
simplify
12-3/18
=9/18
= 1/2
2/3-1/6 = 1/2
By using cross multiplication method, 1/2 is the difference between two fractions 2/3 and 1/6.
Step-by-step explanation:
hope that helps>3
Answer:
21°
Step-by-step explanation:
A line is 180 degrees.
Subtract 159 from 180 and you get the answer.
Answer:
- 891 = 3^4 · 11
- 23 = 23
- 504 = 2^3 · 3^2 · 7
- 230 = 2 · 5 · 23
Step-by-step explanation:
23 is a prime number. That fact informs the factorization of 23 and 230.
The sums of digits of the other two numbers are multiples of 9, so each is divisible by 9 = 3^2. Dividing 9 from each number puts the result in the range where your familiarity with multiplication tables comes into play.
891 = 9 · 99 = 9 · 9 · 11 = 3^4 · 11
___
504 = 9 · 56 = 9 · 8 · 7 = 2^3 · 3^2 · 7
___
230 = 10 · 23 = 2 · 5 · 23
_____
<em>Comment on divisibility rules</em>
Perhaps the easiest divisibility rule to remember is that a number is divisible by 9 if the sum of its digits is divisible by 9. That is also true for 3: if the sum of digits is divisible by 3, the number is divisible by 3. Another divisibility rule fall out from these: if an even number is divisible by 3, it is also divisible by 6. Of course any number ending in 0 or 5 is divisible by 5, and any number ending in 0 is divisible by 10.
Since 2, 3, and 5 are the first three primes, these rules can go a ways toward prime factorization if any of these primes are factors. That is, it can be helpful to remember these divisibility rules.
