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diamong [38]
3 years ago
11

At the movie theater the blaine family spent $22.00 for twoadult tickets and three child tickets. the hooper family spent $18.50

for one adult ticket and four child tickets. how much did the hu family spend for three adult tickets and one child ticket?
Mathematics
1 answer:
Anika [276]3 years ago
3 0
2a+3c=22.00 ......equation 1
a+4c=18.50  =>2a+8c=37.00 .....equation 2
subtract equation one from equation two: 
5c=37-22=15
c=3
a+4*3=18.50 =>a=6.50

for the Hu family: 3*6.50+1*3.00=22.50 dollars
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Answer:

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y = m(0.5) + 1.8

Step-by-step explanation:

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<h3>y = mx + c</h3>

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First find the gradient of the graph

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Let's simplify step-by-step.

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Answer:

<span>=<span><span><span>a2</span>−<span><span>10a</span>b</span></span>+<span>3<span>b<span>2</span></span></span></span></span>
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3 years ago
A person borrows $10,000 and repays the loan at the rate of $2,400 per year. The lender charges interest of 10% per year. Assumi
omeli [17]

Answer:

a) M(t)=24000-14000e^{t/10}

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Step-by-step explanation:

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\frac{dM}{dt}=0.1M-2400

We can express this equation as:

\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

It takes 5.390 years to pay off the loan.

8 0
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