MATHEMATICS COLLEGE

Find 10th term of a geometric sequence whose first two terms are 2 and -8. Please answer!!

Answers

Answer 1

Answer:

Answer:

The 10th term is -524,288

Step-by-step explanation:

The general format of a geometric sequence is:

$a_(n) = r*a_(n-1)$

In which r is the common ratio and $a_(n+1)$ is the previous term.

We can also use the following equation:

$a_(n) = a_(1)*r^(n-1)$

In which $a_(1)$ is the first term.

The common ratio of a geometric sequence is the division of the term $a_(n+1)$ by the term $a_(n)$

In this question:

$a_(1) = 2, a_(2) = -8, r = (-8)/(2) = -4$

10th term:

$a_(10) = 2*(-4)^(10-1) = -524288$

The 10th term is -524,288

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An arena receives $1,700 per event for 12 concerts. If the costs for this sponsorship total $14,000, what is the profit margin for the concert sponsorship?

Answers

Answer:

total profit margin for all 12 concert is $6,400.

profit margin for all one concert is $533.33

Step-by-step explanation:

Amount of money received for one event = $1700

Total no of concert = 12

Total money received for 12 event = Amount of money received for one event * Total no of concert

Total money received for 12 event = $1700 *12 = $20,400

Total cost of sponsorship = $14,000

Profit margin is the difference money invested and money earned.

here total investment is $14,000

Total money earned is $20,400

Therefore profit margin = money earned - total investment

= $20,400 - $14,000 = $6,400

Therefore total profit margin for all 12 concert is $6,400.

However to calculate profit margin for one concert we can simply divide the total profit margin for all 12 concert by no of concert (i.e 12)

profit margin for one concert = total profit margin for all 12 concert/total no of concert = $6,400/12 = $533.33

profit margin for all one concert is $533.33

Find the total amount of interest on a savings account if the principal is $9400 and the bank gives a rate of 6% compounded quarterly for the next 6 years.

Answers

Answer:

4037.3264$

Step-by-step explanation:

Total amount of money after 6 years:

A = P x (1 + rate)^time

= 9400 x ( 1 + (6/100)/4)^(6 x 4)

= 13437.3264$

=> Total amount of interest after 6 years:

I = A - P = 13437.3264 - 9400 = 4037.3264$

Solve for x. x - 1
2 = 4

Answers

Answer:

x = 16

Step-by-step explanation:

x - 12 = 4

+ 12 = +12

x = 16

Answer:

Step-by-step explanation:

Use the given graph to determine the limit, if it exists. Find limit as x approaches three from the left of f of x. Please include an explanation in your answer, I don't really understand limits so I'll give brainliest to the best explanation.

Answers

Answer:

$\displaystyle \lim_(x \to 3^-) f(x) = -1$

General Formulas and Concepts:

Calculus

Limits

Right-Side Limit: $\displaystyle \lim_(x \to c^+) f(x)$
Left-Side Limit: $\displaystyle \lim_(x \to c^-) f(x)$

Graphical Limits

Step-by-step explanation:

As we approach 3 from the left according to the graph (follow the left graphed line), we see that we approach -1.

∴ $\displaystyle \lim_(x \to 3^-) f(x) = -1$

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Limits

The advertising department of a nationally circulated magazine wishes to estimate the mean age of.its subscribers to within 0.5 year with 90% confidence. if they estimate that the standard deviation of the ages of their subscribers is 5 years, find the required sample size.a. 165
b. 17
c. 271
d. 45 1 points first question previous question question 14 of 30 next question last question

Answers

The correct answer is C) 271.

We first find the z-score associated with this confidence interval:
Convert 90% to a decimal: 90/100 = 0.9
Subtract from 1: 1 - 0.9 = 0.1
Divide by 2: 0.1/2 = 0.05
Subtract from 1: 1 - 0.05 = 0.95

Looking this value up in a z-table, we see that this number is the same distance from 1.64 and 1.65; therefore we will use 1.645.

Now we will use the following formula to calculate the sample size required:
$n=((z_(\alpha/2)*\sigma)/(E))^2\n\n=((1.645*5)/(0.5))^2=270.6\approx 271$

80 POINTS MATHIn the diagram at the right, in which position are the tips of the scissors farther apart? Explain your reasoning..

Answers

hey mate..

the position at which the tips of the scissors will be FARTHER APART is at position B.

as the angle made by the scissors at the centre is greater in position B.

Answer:

the degree angle of scissor B is greater as its angle number is greater than A

32 is a greater number than 26 therefore the degree of angle 32 is wider than the degree of 26

~batmans wife dun dun dun...aka ~serenitybella

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