Vhat is the ninth term of the geometric sequence 3,9, 27, ... ?

At what point does the graph of y=9x(x is exponent) cross the y-axis?

uysha [10]

Answer:

-The graph crosses the y-axis at the point (0,0)

None of the given options is correct

A graph crosses the y-axis at the point (0,y).This means that the graph will cross the y-axis when x-=0

To find the point where the graph crosses the y-axis,substitute x=0 into the given equation y-9x

substitute x=0 into the equation y-9x to find the corresponding value of y

That is,

y=9(0)

y=0

therefore the graph crosses the y-axis at the point (0,0)

Step-by-step explanation:

hope it hlps

3 0

2 years ago

Sung Lee invests $4,000 at age 18. He hopes the investment will be worth $16,000 when he turns 25. If the interest compounds con

irinina [24]

Answer:

The growth rate he needs to achieve his goal is approximatelly 19.8%

Step-by-step explanation:

Since the sum will be compounded continuously we have to use the appropriate formula given below:

M = C*e^(r*t)

Where "M" is the final amount, C is the initial amount, r is the interest rate and t is the time elapsed. Since Sung Lee will invest that sum at 18 years old and he wants to recieve the return at 25, then the time elapsed is given by 25 -18 = 7 years. We can now apply the data to the formula:

16000 = 4000*e^(r*7)

4000*e^(7*r) = 16000

e^(7*r) = 16000/4000 = 4

ln[e^(7*r)] = ln(4)

7*r = ln(4)

r = ln(4)/7 = 0.198

The rate of interest is given by (r)*100%, so we have (0.198)*100% = 19.8%.

4 0

3 years ago

4. What is the mass of a truck if it produces a force of 14,000N while accelerating at a rate of

PtichkaEL [24]

2800 is the mass of the truck

6 0

3 years ago

Which expression is equivalent to 8k - 4

Sliva [168]

Answer:

4(2k-1)

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Two athletic shoe brands were studied to see which brand was manufactured with the least amount of defects. Brand A was found to

avanturin [10]

Answer:

21

Step-by-step explanation:

We need to determine the percentage of defects of shoes for brand A

Percentage of shoes that have defect = (5/600) x 100 = 0.83%

shoes that would have defects when 2500 shoes are manufactured = 0.83% x 2500 = 0.0083 x 2500 = 20.75

rounding off to the nearest whole number gives 21 shoes

3 0

2 years ago