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We move all terms to the left:</span>
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We add all the numbers together, and all the variables</span>
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We move all terms containing y to the left, all other terms to the right</span>
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Answer:
6x
Step-by-step explanation:
X+(x+2)+(x+4)=396, x+x+x+6=396, 3x+6=396, 3x=396-6, 3x=390, x=130, x+2=130+2=132, x+4=130+4=134. The three consecutive even integers are 130, 132, 134
Answer:
Step-by-step explanation:
Let the measurement of the smaller angle = x
Larger angle = 4x + 10
x + (4x + 10) = 90 {complementry}
5x + 10 = 90
5x = 90 -10
5x = 80
x = 80/5
x = 16
Smaller angle = 16
Larger angle = 4*16 + 10 = 64+10 = 74
♥ thus y’/(yf-y) = k, where yf=6000;
<span>♠ hence ln(yf-y) =-kx +C; </span>
<span>at x=0 y(0)=y0=1000, hence C= ln(yf-y0); </span>
<span>and we get: </span>
<span>ln((yf-y)/(yf-y0) =-kx; or; </span>
<span>yf-y =(yf-y0)*exp(-kx); at last </span>
<span>♦ y = 6000- 5100*exp(-0.0015*x);
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<span><span><span>dy</span><span>dt</span></span>∝y=ky</span>separate the variables<span><span><span>dy</span>y</span>=kdt</span>integrate both sides:<span>lny=kt+C</span><span>y(t)=C<span>e<span>kt</span></span></span>by plugging in t=0 we find that C the original population<span>y(0)=C<span>e0</span>=C⟹C=<span>y0</span></span>so we get<span><span>y=<span>y0</span><span>e<span>kt</span></span></span></span>
