Since this is a problem of simple interest, then the interest earned will be based always on the principal amount which is 5000. So assuming that, lets also assume that the duration to get interest will be in years since that is the most commonly used duration anyway. So first, let's multiply 5000 with 0.075 to get the interest for the first year. So we will have 375. This means that we will be getting 375 interest every year. We can do trial an error method to get the number of years that will yield us to 6500. Through that, I was able to get 4 years. So 4 times 375 equals 1500 plus the original balance of 5000. It will take 4 years before your balance reaches 6500
Here is the problem.....√(15x + 10) = 2x+3
to remove the square root, we do the opposite which is to square everything.
(√(15x + 10))² = (2x + 3)² (the square negates the square root)
15x + 10 = (2x +3)(2x + 3) (use the distributive property to continue)
15x + 10 = 4x² + 6x + 6x + 9 (combine like terms)
15x + 10 = 4x² + 12x + 9 (subtract 15x and 10 from each side)
-15x - 10 -15x - 10
0 = 4x² - 3x - 1 (factor completely)
(x - 1) (4x + 1) (set each to equal 0)
x - 1 = 0 4x + 1 = 0
x = 1 4x = -1
x = -1/4
place both into the equation to check for reasonableness...we see the negative number is not reasonable, but the x value of 1 is a solution.
answer is 1
Answer:
Distance covered by hula hoop rolls in 4 full rotations is 880 cm .
Step-by-step explanation:
Formula
Where r is the radius of the circle.
As given
Allison is rolling her hula hoop on the playground.
The radius of her hula hoop is 35 cm.
r = 35 cm
Putting the value in the formula
= 220 cm
As given
The hula hoop rolls in 4 full rotations.
Distance covered by hula hoop rolls in 4 full rotations = 220 × 4
= 880 cm
Therefore the Distance covered by hula hoop rolls in 4 full rotations is 880 cm .
Answer:
x=30°
2x=60°
Step-by-step explanation:
Value of x°=x°/(2x°+x°)×90°
= 1/3×90°
=30°
Value of 2x°=30°×2
=60°
Answer:
66 inches
Step-by-step explanation:
:))
