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worty [1.4K]
3 years ago
8

Joe gets paid $40 per hour. how much would he earn if he worked for 45 minutes

Mathematics
1 answer:
anzhelika [568]3 years ago
6 0
He would earn $30 for 45 minutes. 
Example: 
60min=$40/hr
1min =$40/$60/hr
45min=$40/$60*45
$30 for 45min
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Faces and bases are the same thing on a geometric solid. True False
Papessa [141]
The answer is false.
6 0
3 years ago
Complex root of x^2+3x+9=0
Luden [163]

\text{Quadratic formula}

ax^2+bx+c=0\\\\\Delta=b^2-4ac\\\\x_1=\dfrac{-b-\sqrt\Delta}{2a};\ x_2=\dfrac{-b+\sqrt\Delta}{2a}

-----------------------------------------------------------------------

x^2+3x+9=0\\\\a=1;\ b=3;\ c=9\\\\\Delta=3^2-4(1)(9)=9-36=-27\\\\\sqrt\Delta=\sqrt{-27}=\sqrt{(27)(-1)}=\sqrt{27}\cdot\sqrt{-1}=\sqrt{9\cdot3}i=\sqrt9\cdot\sqrt3i=3\sqrt3i

x_1=\dfrac{-3-3\sqrt3i}{2(1)}=-\dfrac{3}{2}-\dfrac{3\sqrt3}{2}i\\\\x_2=\dfrac{-3+3\sqrt3i}{2(1)}=-\dfrac{3}{2}+\dfrac{3\sqrt3}{2}i


i=\sqrt{-1}

6 0
3 years ago
Find sin θ if θ is in Quadrant III and tan θ = -1/5
Alborosie

Answer:= - sin( square root 8 over 3)sin(1/4)

Step-by-step explanation:

So I did (square root 8/3)(square root 15/4)+sin(1/4)cos(-1/3) divide that by (-1/3)(square root 15 over 4) - sin( square root 8 over 3)sin(1/4)

4 0
2 years ago
Kathryn deposits 100 into an account at the beggining of each 4 year period for 40 years. The account credits interest at an eff
OleMash [197]

Answer:

6194.84

Step-by-step explanation:

Using the formula for calculating accumulated annuity amount

F = P × ([1 + I]^N - 1 )/I

Where P is the payment amount. I is equal to the interest (discount) rate and N number of duration

For 40 years,

X = 100[(1 + i)^40 + (1 + i)^36 + · · ·+ (1 + i)^4]

=[100 × (1+i)^4 × (1 - (1 + i)^40]/1 − (1 + i)^4

For 20 years,

Y = A(20) = 100[(1+i)^20+(1+i)^16+· · ·+(1+i)^4]

Using X = 5Y (5 times the accumulated amount in the account at the ned of 20 years) and using a difference of squares on the left side gives

1 + (1 + i)^20 = 5

so (1 + i)^20 = 4

so (1 + i)^4 = 4^0.2 = 1.319508

Hence X = [100 × (1 + i)^4 × (1 − (1 + i)^40)] / 1 − (1 + i)^4

= [100×1.3195×(1−4^2)] / 1−1.3195

X = 6194.84

4 0
3 years ago
Read 2 more answers
4/6 in the lowest term helpppppppppp!!!!!!!
Agata [3.3K]

2/3 would be the answer hope this helps.

3 0
3 years ago
Read 2 more answers
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