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alekssr [168]
3 years ago
12

Katie is building a rectangle wall.the wall will be 332 bricks wide and 39 bricks tall. She has 15000 bricks.does she have enoug

h bricks to build the wall?explain. Show your work
Mathematics
1 answer:
Hunter-Best [27]3 years ago
5 0
First find the area. 39*332=12,948. 12,948 is less than 15,000, so yes, she has enough bricks.
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Step-by-step explanation:

(a) The differential equation for the variation in the amount of the loan M is

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\frac{dM}{dt}=0.1M-2400\\\\10\int \frac{dM}{M-24000} =\int dt\\\\10ln(M-24000)=t\\\\M-24000=Ce^{t/10}\\\\M=Ce^{t/10}+24000\\\\M(0)=Ce^{0/10}+24000=10000\\\\C+24000=10000\\\\C=-14000\\\\M(t)=24000-14000e^{t/10}

(b) We can calculate this as M(t)=0

M(t)=24000-14000e^{t/10}=0\\\\e^{t/10}=24000/14000=1.714\\\\t=10ln(1.714)=10* 0.5390=5.390

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