Answer:
56 minutes
Step-by-step explanation:
Answer: (a) x + 2y = -1 and 3x + y = 1
<u>Step-by-step explanation:</u>
I am not sure what the purpose was for the colored lines but I included them on the graph (below).
Correct answers are:
(1) <span>28, 141 known cases
(2) 79913.71 known cases after six weeks (round off according to the options given)
(3) After approx. 9 weeks (9.0142 in decimal)
Explanations:
(1) Put x = 0 in given equation
</span><span>y= 28, 141 (1.19)^x
</span><span>y= 28, 141 (1.19)^(0)
</span>y= 28, 141
(2) Put x = 6 in the given equation:
<span>y= 28, 141 (1.19)^x
</span><span>y= 28, 141 (1.19)^(6)
</span>y= 79913.71
(3) Since
y= 28, 141 (1.19)^x
And y = <span>135,000
</span>135,000 = 28, 141 (1.19)^x
135,000/28, 141 = (1.19)^x
taking "ln" on both sides:
ln(4.797) = ln(1.19)^x
ln(4.797) = xln(1.19)
x = 9.0142 (in weeks)
220 degrees = 3.83972
to convert degrees to radians, multiply by <span>π<span>180°</span></span>, since a full circle is <span>360°</span> or <span>2π</span> radians.<span>220°⋅<span>π<span>180°</span></span></span> radians Cancel the common factor of 20 <span><span>111</span>⋅<span>π9</span></span> radians Multiply <span>111</span>and <span>π9</span> to get <span><span>11π</span>9<span>11π</span>9</span><span> radians
</span><span>
</span><span>I hope this helps.</span>
Answer:
m = 7h + 10
Step-by-step explanation:
Since m is representing the total amount of money he earned, we will leave that on one side. If h is the number of hours we worked, the coefficient of h is 7 because he earns 7 dollars an hour. The ten dollar tip is independent from the variables.