Answer:
∠MNO = 51°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 given angles and equate to 180, that is
3x + 15 + 2x + 25 + 5x + 10 = 180 ← simplify left side
10x + 50 = 180 ( subtract 50 from both sides )
10x = 130 ( divide both sides by 10 )
x = 13
∠MNO = 2x + 25 = (2 × 13) + 25 = 26 + 25 = 51°
Answer:
p3+13=37
We move all terms to the left:
p3+13-(37)=0
We add all the numbers together, and all the variables
p^3-24=0
Since you pay 9.5% extra per year, that is equal to 109.5% of last year, or 1.095 in decimal form
The base equation:
<span>y=k<span>ax</span></span>
Sub in your values:
<span>y=10000×<span>1.0953</span></span>
Simply solve for that
<span>y=10000×<span>1.0953</span></span><span>y=10000×1.312932375</span><span>y=13129.3</span>
So you would owe <span>$13129.30</span>, after 3 years, given that you do not deposit any money over the course of that time
Answer:
The number of hours Jackie worked = 80hours
Step-by-step explanation:
Last summer:
Jackie made $960
Rachel made $960
let number of hours Jackie worked = x
Rachel worked 16 hours more than Jackie:
Number of hours Rachel worked = x + 16
if Jackie earned $y per hour
Rachel earned $2 less per hour = y-2
Jackie: 960 = x × y = xy
Rachel: 960 = (x+16)(y-2)
960 = xy -2x +16y -32
recall xy = 960, insert the value for xy
960 = 960 - 2x +16y -32
- 2x +16y -32 = 0
2x -16y = -32
x-8y = -16
x = 8y-16
recall xy = 960, insert the expression for x
(8y-16)y = 960
8y² -16y = 960
y² -2y - 120 = 0
y²+10y-12y -120 = 0
y(y+10) -12(y+10) = 0
(y-12) = 0 or (y+10) = 0
y = 12 or -10
since y can't be negative, y = 12
x = 8y-16
x = 8(12) -16 = 80
The number of hours Jackie worked = x = 80 hours
Answer:
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Step-by-step explanation:
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