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4 years ago

determine whether the system of equations y=3x+2 and 3x+3y=18 are intersecting , perpendicular, or parrel

1 answer:

8 0

After entering in these systems in a graphing calculator under the y equals, you can determine that the lines are intersecting. They cross paths, so they cannot be parallel. The lines do not make a ninety-degree angle, so they are not perpendicular. This would make them intersecting.

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You borrow $500 to goon a trip. The bank charges 11% interest for 2 years. Find the interest

Illusion [34]

11% intrest of $500 is $55

7 0

3 years ago

Read 2 more answers

The population of the world was 7.1 billion in 2013, and the observed relative growth rate was 1.1% per year. A) Estimate how lo

VLD [36.1K]

Answer:

A) 63.36 years.

B) 100.42 years.

Step-by-step explanation:

We have been given that the population of the world was 7.1 billion in 2013, and the observed relative growth rate was 1.1% per year.

A) Since we know that population increases exponentially, therefore we will use our given information to form an exponential model for population increase and then we will solve for the time by which our population will be double.

$P(t)=7.1(1.011)^{t}$

$7.1 \times 2=7.1(1.011)^{t}$

$\frac{7.1 \times 2}{7.1} =(1.011)^{t}$

$2 =(1.011)^{t}$

Now let us solve for t using logarithm.

$ln(2) =ln (1.011)^{t}$

$ln(2) =t \cdot ln(1.011)$

$0.6931471805599453 =t \cdot 0.0109399400383344$

$t=\frac{0.6931471805599453}{0.0109399400383344}$

$t=63.3593217267282743049\approx 63.36$

Therefore, it will take 63.36 years the population to be double.

B) Now we will find the number of years it will take the population to be triple of its size.

$7.1 \times 3=7.1(1.011)^{t}$

$\frac{7.1 \times 3}{7.1} =(1.011)^{t}$

$3 =(1.011)^{t}$

Now let us solve for t using logarithm.

$ln(3) =ln (1.011)^{t}$

$ln(3) =t \cdot ln(1.011)$

$1.0986122886681097 =t \cdot 0.0109399400383344$

$t=\frac{1.0986122886681097}{0.0109399400383344}$

$t=100.4221490079915311298\approx 100.42$

Therefore, it will take 100.42 years the population to triple of its size.

6 0

3 years ago

Penny and Kenny have the same number of football cards.

Pachacha [2.7K]

Hello,
Penny==>a*10 (a is an integer)
Kenny==>b*18 (b is an integer)

a*10=b*18==>a=9*b/5 ==>b=5+n*5
a=9*(5+5*n)/5=9*(1+n)=9+9n
If n=0 then a=9 and b=5 :Number od cards: 9*10=10, 5*18=90
if n=1 then a=19 and b=10: Number of cards: 19*10=190>100 to exclude.

So number of cards=90

7 0

3 years ago

Andrew wants to build a slide for his daughter’s tree house. If the tree house is 5 ft off the ground and he wants the slide to

Lapatulllka [165]

Andrew is wanting to build a slide for his daughter's tree house in the backyard. The tree house is approximately 5 feet off the ground and he wants the slide to have a 30 degree angle with the ground. He will need to by 10 ft of sliding board.

3 0

3 years ago

At Dubai metro station, in a week 320 trains arrived. Out of these 5% arrived early and 15% arrived late. How many arrived on ti

dybincka [34]

The number of trains that arrived Dubai metro station on time is; 272 trains.

We are told that 320 trains arrived the Dubai metro station in a week.

Now, we are told that 5% got there early and 15% got there late.

This means, the percentage that got there on time is;

100% - % of trains that got there late.

Therefore, percentage of trains that got there on time is;

100% - 15% = 85%

Since 85% of the trains got there on time, then number of trains that got there on time is;

85% × 320 = 272

Therefore, we can conclude that 272 trains arrived on time.

Read more at; brainly.in/question/33336249

4 0

2 years ago