A=p(1+i/m)^mn
A=980×(1+0.08÷4)^(4×5)
A=1,456.23
Total length of the string =
yard
Length of string used for craft =
of total length of string
=
of ![\frac{5}{6}](https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B6%7D%20)
= ![\frac{3}{5} \times \frac{5}{6}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B5%7D%20%5Ctimes%20%5Cfrac%7B5%7D%7B6%7D%20)
=
yard
Length of the string left after use = Total length of the string - Length of string used for craft
Length of the string left after use = ![\frac{5}{6}-\frac{3}{6}](https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B6%7D-%5Cfrac%7B3%7D%7B6%7D%20)
=
Reducing it to the lowest term, we get
=
yard
Therefore, the length of string left is
yard.
Answer:
(2x - 1)(5x - 2)
Step-by-step explanation:
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term, that is
product = 10 × 2 = 20 and sum = - 9
The factors are - 5 and - 4
Split the middle term using these factors
10x² - 5x - 4x + 2 (factor the first/second and third/fourth terms by grouping )
= 5x(2x - 1) - 2(2x - 1) ← factor out (2x - 1)
= (2x - 1)(5x - 2)
Multiplication property of equality
Answer:
3 is -3, 4 is 3
Step-by-step explanation:
In slope intercept form (y = mx+b)
m is the slope
b is the y-intercept
y = mx+b
y = -1(x) + 3
b = 3