Answer: 7/24
Step-by-step explanation:
Answer: (1) x²y (2) 7pqr (3) a (4) 6a² (5) y³z²
Step-by-step explanation:
(1) x^4y³ and x²y
x^4y³ = x²y(x²y²)
x²y = x²y
Therefore the Highest Common factor
x²y which is the common factor.
(2) 14p²qr^4 = 2 x 7 x p² x q x r^4
49p²q²r = 7 x 7 x p² x q² x r
35pqr = 5 x 7 x p x q x r
Therefore HCF = 7 x p x q x r
= 7pqr
(3) -a^5 = -( a x a x a x a x a )
= -(a^5)
ab³ = a x b x b x b
Therefore HCF = a
(4) 6a² = 2 x 3 x a x a
-18a6 = -( 2 x3 x 3 x a x a x a x a x a x a)
-12a² = -( 2 x 2 x 3 x a x a )
Therefore HCF = 2 x 3 x a²
= 6a²
(5) 3y³z² = 3 x y x y x y x z x z , 3 x y³ x z²
15y^4z² = 3 x 5 x y x y x y x y x y x z x z, 3 x 5 x y^4 x z²
y^6z³ = y^6 x z³
Therfore HCF = y³ x z²
= y³z²
Answer:
After 5 years, Cam's account will have $ 616.04 while Madison's account will have $ 638.53.
Step-by-step explanation:
Given that Cam and Madison were investing money into two different accounts, both investing $ 550 each, and Cam invested into an account at an annual interest rate of 2.7% compounded monthly while
Madison invested into an account that had an annual interest rate of 3% compounded quarterly, to determine the balances of both accounts after 5 years, the following calculations must be performed:
Cam
X = 550 (1 + 0.027 / 12) ^ 5x12
X = 550 (1 + 0.027 / 12) ^ 60
X = 616.04
Madison
X = 550 (1 + 0.03 / 3) ^ 5x3
X = 550 (1 + 0.03 / 3) ^ 15
X = 638.53
Thus, after 5 years, Cam's account will have $ 616.04 while Madison's account will have $ 638.53.
If you formulate the question into a word equation it comes out:
2 grams fiber = .08 <span>× DRV
</span>↑ ↑ ↑ <span>↑</span> <span>↑
2 g fiber is 8% of the daily recommended value.
Now solve for DRV to find the daily recommended value:
2 g fiber/.08 = DRV
DRV = 25 g fiber</span>
