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Elena L [17]
3 years ago
15

sum of two numbers is 39. the greater number is 7 more than the smaller number. ( set up an equation )

Mathematics
1 answer:
pochemuha3 years ago
3 0
Let x be the unknown number

2x +7 = 39

2x+7-7 = 39-7

2x = 32

2x/2 = 32/2

x=16

You use the balance method to solve. First, you cancel the +7 by subtracting the 7 ON BOTH SIDES to balance the equation.. After that, you are left with 2x, where you will need to isolate the x by dividing by 2 ON BOTH SIDES to balance it.

Hope this helps
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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
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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
−6y=4,3x-18y=43x−18y=4 has no solution. Change one constant or coefficient to make a new system with an infinite number of solut
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Answer: the anwer is =46.76

Step-by-step explanation:

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Please help me I’ll give brainliest to whoever answers
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Answer:

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Step-by-step explanation:

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  • a) An observation.
  • b) A variable.
  • c) A population parameter.
  • d) A sample statistic.

Given that a survey asked the question, "Do you think a vaccination should be mandatory to enter shopping areas?" to a random sample of 1068 Jordanians, and the results showed that 71.2% responded that vaccination should mandatory, to determine which of the following is an observation, a variable, a sample statistic (value calculated based on the observed sample), or a population parameter, the following statistical reasoning must be performed:

(a) A Jordanian that was asked the question.

-An observation, as the person questioned is part of the study and therefore, it is an individual observation that makes up the trend.

(b) The response of the Jordanian.

-A variable, since it is one of the two possible answers that the survey has.

(c) 71.2%.

-A population parameter, because it represents a specific percentage with respect to the total population.

(d) The percentage of all Jordanians who agreed with the statement that vaccination should be mandatory to enter shopping areas.

-A sample statistic, since it is a statistical element that arises from the survey.

Learn more in brainly.com/question/17716064

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