3 years ago

828 to the nearest tenth

Mathematics

1 answer:

dlinn [17]3 years ago

5 0

828 to the nearest tenth is 830

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Find the diameter, given the circumference of a circle is 40.035 cm.

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Answer:

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Step-by-step explanation:

c = π x d

40.035= 3.14 x d

40.035/3.14 = 12.75

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If the given figure is rotated 180° around the origin, what are the new coordinates of point Z? Z= (6,-9)

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Rule for 180 rotation: (x,y) becomes (-x,-y)

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

b) It takes 5.390 years to pay off the loan.

Step-by-step explanation:

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

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

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.

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3 years ago