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Oduvanchick [21]
2 years ago
14

Solve the following system of equations.

Mathematics
1 answer:
frozen [14]2 years ago
3 0

Answer:

(x,y,z) ==> (5 , -11 , 3)  

Step-by-step explanation:

Solved by Gaussian elimination

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The population in the town of Huntersville is presently 38,300. The town grows at an annual rate of 1.2%. Find the population of
Basile [38]
Hi there! So the situation that we are talking about for this is compounding, because the population is growing.. The formula for compounding something is P(1 + r)^t, with P representing the initial amount, r representing the rate, and t representing the time in years. First off, let's add the rate into 1. 1.2% is 0.012 in decimal form. 1 + 0.012 is 1.012. Now, because we are looking for the population after 4 years. We raise 1.012 to the 4th power. 1.012^4 is 1.04887093274. It's a long decimal, but do not delete this number from your calculator. Now, we multiply that number by 38,300 in order to get 40,171.7567238 or 40,172 when rounded to the nearest whole number. There. The population of Huntersville will be 40,172 people in 4 years.
3 0
3 years ago
Simplify 3x + 5y + 10x + 6y
belka [17]

Answer:

13x + 11y

Step-by-step explanation:

3x and 10x both have x so we can add them

5y and 6y both have y so we add 5 and 6

3 0
3 years ago
What is the slope of the line that passes through the points (5, 2) and (3,-1)?
oksano4ka [1.4K]
Slope = -4/5

to calculate the slope m use the gradient form

m = y2 -y1
————
x2 - x1


let (x1, y1) = (3,1) and (x2, y2) = (-2, 5)


m = 5 - 1 4
———- = ——-
-2 - 3 -5


= - 4/5
3 0
3 years ago
If I make 11.50 an hour working full time (40 hours a week) how much money do i make a year after deducting 60 dollars of taxes
Kazeer [188]
Given:
hourly rate = 11.50
hours worked in a week = 40 hours
taxes per moth = 60

Every month may be 4 weeks or 5 weeks but we know that 1 year has 52.1429 weeks.

Let us compute for the whole year:

Earnings:
11.50 /1 hour * 40 hours/1week * 52.1429 weeks/1year  
= 11.50 * 40 *  52.1429/year
= 23,985.734 per year

Taxes:
60 / per month * 12 months / 1 year
= 60 * 12/year
= 720 per year

Net earning per year
23,985.734 - 720 = 23,264.734 

Net earning per month
23,264.734 ÷ 12 months = 1,938.81 

You will earn 23,264.73 annually from a monthly earning of 1,938.81
7 0
4 years ago
4-58. Lisa plans to retire on her 61st birthday. On her
mojhsa [17]

Answer:

Lisa invest "$2180.81" in her bank.

Step-by-step explanation:

The given values are:

On Lisa's 62nd birthday,

she withdraw = $10,000

The annuity of $A will remain at 3 percent for 40 years. The retirement pension of $10000 lasts 23 years at rate percentage of 3 but begins 40 years later.

⇒  A\times (\frac{P}{A} ,3 \ percent,40) - 10000 (\frac{P}{A} ,3 \ percent,23)\times \frac{1}{(1.03)40} = 0

⇒  A\times 23.1148 - 10000\times 16.4436\times 0.3066 = 0

⇒  A = 10000\times 16.4436\times \frac{0.3066}{23.1148}

⇒      = 10000\times 16.4436\times 0.0132

⇒      =2180.81 ($)

4 0
3 years ago
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