Answer:
65%
Step-by-step explanation:
this is because there is need for us to multiply 65% by $58.00
Answer:
x + y ≤ 12
Step-by-step explanation:
Inequality:
Not more than 12 means less than or equal to 12
x + y ≤ 12
Answer:
(-2,-5)
Step-by-step explanation:
y = 2x-1
3x-y = -1
We can use substitution
3x - (2x-1) = -1
Distribute the minus sign
3x -2x+1 = -1
x +1 =-1
Subtract 1 from each side
x+1-1 = -1-1
x=-2
Now we need to find y
y = 2x-1
y = 2(-2) -1
y = -4-1
y = -5
(-2,-5)
There was $800 deposited at 9% interest and $400 deposited at 4% interest.
The formula for simple interest is I = prt. Using our information we have:
88 = x(0.09)(1) + (1200-x)(0.04)(1)
88 = 0.09x + 48 - 0.04x
88 = 0.05x + 48
Subtract 48 from both sides:
88 - 48 = 0.05x + 48 - 48
40 = 0.05x
Divide both sides by 0.05:
40/0.05 = 0.05x/0.05
x = 800
1200 - x = 400
Answer:
Step-by-step explanation:
It is useful to remember the ratios between the side lengths of these special triangles.
30°-60°-90° ⇒ 1 : √3 : 2
45°-45°-90° ⇒ 1 : 1 : √2
__
h is the shortest side, and the given length is the intermediate side. This means ...
h/1 = 2/√3
h = 2/√3 = (2/3)√3 . . . . . . simplify, rationalize the denominator
__
b is the longest side, and the given length is the short side. This means ...
b/√2 = 3/1
b = 3√2 . . . . . multiply by √2
