if the population of a country increases at a rate of 1.5% annually, and it’s current population is 430,000, how many years will it take for the population to triple

Answers

Answer 1

Answer: Hi,
$a_0=430000\na_1=a_0*1.15\na_2=a_1*1.15=a_0*1.15^2\n...\na_n=a_0*1.15^n\na_n \geq 3*a_0\n1.15^n \geq 3\nn*ln(1.15) \geq ln(3)\nn \geq (ln(3))/(ln(1.15)) \nn \geq 7.86059688...\n\n\boxed{n \geq 8}\n$

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Josh used a standard deck of 52 cards to conduct an experiment. Half of the cards in the deck were red. The other half were black. Josh predicted that he would choose a red card in 4 out of 8 trials. When he conducted the experiment, he actually chose a red card 6 out of 8 times. Which explains the most likely reason for the discrepancy between Josh’s predicted and actual results?He incorrectly predicted the number of times he would choose a red card. He incorrectly determined the actual number of times he chose a red card. He used too few trials for the sample space. He used too many trials for the sample space.

−0.2x=1.6

Help a brother out

Answers

Answer:

I getcha

Step-by-step explanation:

-8

I hope this is correct

One movie club charges an $100 membership fee and $10 for each movie. Another movie club charges no membership fee and charges $15 per movie. Write and solve an equation to find the number of movies you have to buy for the cost of each club to be the same.

Answers

Answer:

Step-by-step explanation:

y = 15x

y = 10x + 100

15x = 10x + 100

5x = 100

x = 20 movies

Write the expression (y 7)^2 -100 as the product of two linear binomials

Answers

To answer this problem, you have to have a good foundation in factoring polynomial expressions. It has to be taken into account the knowledge in division and fractions.

The expression
(y+7)^2 - 100

can be factored as
[ (y+7) + 10 ] [ (y+7) - 10 ]

Further simplifying the expressions
[ y + 7 + 10 ] [ y + 7 - 10 ]
( y + 17 ) ( y - 3)

So the product of two linear binomials is
(y+17)(y-3)

Solve equation: –6 + 3x = –9

Answers

3x=-9+6
3x=-3
x=-3/3
x=-1

-6 + 3x = -9
-6 -6
-----------------
3x = -15
--- ---
3 3

x = -5

The vertex of the parabola y = x2 + 8x + 10 lies in Quadrant

Answers

$y = x^2 + 8x + 10\n\nThe\ vertex=(p;\ q)\ \ \ and\ \ \ p=- (b)/(2a) ;\ \ \ q=- (\Delta)/(4a) ;\ \ \ \Delta=b^2-4ac\n\n\Delta=8^2-4\cdot1\cdot10=64-40=24\n\np=- (8)/(2\cdot1) =-4\n\nq=- (24)/(4\cdot1) =-6\n\nthe\ vertex=(-4;-6)$

$y = x^2 + 8x + 10 \n \nthe \ standard \ form \ y = ax^2 + bx + c \n\nof \ a \ function \ into \ vertex \ form \ y = a(x - h)^2 + k ,\n \n we \ have \ to \ write \ the \ equation \ in \ the \ complete \ square \ form \n\n\ and \ vertex(h, k) \ is \ given \ by:$

$h = (-b)/(2a) , \ \ k = c -(b^2)/(4a ) \n \ny = a(x - h)^2+k$

opens up for a > 0

$a=1 , \ \ b=8, \ \ c=10 \n \nh= (-8)/(2)=-4$

$k= 10-(8^2)/(4)=10-(64)/(4)=10-16=-6 \n \ny=(x-(-4))^2+(-6)\n \ny=(x+4)^2-6$

A triangular region of the community college parking lot was measured. The measure of the first angle of this triangle is double the measure of the second angle. The measure of the third angle is 19° greater than double the measure of the first angle. What are the measurements of all three angles?

Answers

The key to word problems like this is to turn them into an equation, then they are much simpler to solve.
The first angle is is double the second, so it will be 2x and the second angle will be x. The third angle is 19 more than double the measure of the first angle. that means its 4x +19.

Hope ypu understand it

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