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podryga [215]
3 years ago
7

the circumference of a circular painting is 40.82 ft. what is the radius of the painting? use 3.14 do not round

Mathematics
1 answer:
diamong [38]3 years ago
7 0
Your answer would be about 20.41
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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.

8 0
3 years ago
Round 1.49882 nearest to the nearest given place thousandths
I am Lyosha [343]
Okie doke. So, we are rounding this number to the nearest thousandths place, which is three digits behind the decimal. The rules for rounding are if the number is 5 or more in the digit behind it, the number goes up. If it is 4 or less, the number goes back. In other words, we depend on the digit right of the digit we are rounding to in order to see what we do. The number we are rounding is 1.49882. The 8 is in the thousandths place and the 8 is to the right of that, which is the ten thousandths place. Because 8 is greater than 5, the number rounds up. So the number rounded to the nearest thousandth is 1.500.
7 0
3 years ago
Find the arc length of the bolder arc<br> A) 283.5 mi<br> C) 733.0 mi<br> B) 10.2 mi<br> D) 73.3 mi
statuscvo [17]

Answer:

d its d :)

Step-by-step explanation:

i already did that

7 0
3 years ago
Solve for x: |2x + 12| = 18
julsineya [31]
It can be x = 3 and x = -15
8 0
3 years ago
Megan purchased a new gadget for her technology hobby. She plans to sell it sometime in the future; however, its value depreciat
Dmitrij [34]

The coefficient (m) of the expression represents: C. the monthly depreciation value of the gadget.

<h3>What is depreciation?</h3>

Depreciation can be defined as a process in which the monetary value of a physical asset decreases or falls over a period of time, especially due to wear and tear.

In this scenario, we can infer and logically deduce that the coefficient (m) of the given expression represents the monthly depreciation value of Megan's gadget.

Read more on depreciation here: brainly.com/question/25806993

#SPJ1

5 0
2 years ago
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