Answer:
The decimal form of
.
Step-by-step explanation:
We proceed to find the decimal form of
, whose description is found below:
1) Multiplying the numerator by 100 and dividing it by 15:
Partial result: 0.06, Remainder: 10
2) Multiplying the remainder by the 10 and dividing it by 15:
Partial result: 0.066, Remainder: 10
3) Multiplying the remainder by the 10 and dividing it by 15:
Partial result: 0.0666, Remainder: 10
Since the decimal number is a infinite and periodical, we conclude that decimal form of
.
1 7/8 = 15/8
1 1/2 = 3/2
15/8 = 24/16
3/2 = 30/16
24/16 - 30/16 = -6/16, which can be simplified to -3/8
Hope this helped! If you need any explanation, let me know :)
Answer: the interest rate is 3.67%
Step-by-step explanation:
We would apply the formula for determining simple interest which is expressed as
I = PRT/100
Where
I represents interest paid on the bond.
P represents the principal or amount at which you bought the bond.
R represents interest rate on the bond
T represents the duration of the bond in years.
From the information given,
P = 3000
T = 10 years
I = 4100 - 3000 = 1100
Therefore,
1100 = (3000 × R × 10)/100 = 300R
R = 1100/300
R = 3.67%
Wouldn’t it be 144° because each one is equal to the next ? I may be wrong but you never know
Answer:
3(- 6 + m)(- 4 + m)
Step-by-step explanation:
Given
72 - 30m + 3m² ← factor out 3 from each term
= 3(24 - 10m + m²)
To factor the quadratic
Consider the factors of the constant term ( + 24) which sum to give the coefficient of the x- term (- 10)
The factors are - 6 and - 4, since
- 6 × - 4 = 24 and - 6 - 4 = - 10, hence
24 - 10m + m² = (- 6 + m)(- 4 + m) and
72 - 30m + 3m² = 3(- 6 + m)(- 4 + m) ← in factored form