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3 years ago

List the first ten terms of a sequence whose first term is -10 and whose common difference is -2.

1 answer:

7 0

Let a(0) represent the first term; its value is -10. The next term is found by subtracting 2 from -10, obtaining -12. Each new term is created by subtracting 2 from the previous one. Thus, the formula for the nth term is

a(n) = a(0)-2(n-1), or a(n) = -10-2(n-1).

First term: -10

Second: -12

Third: -14,

....

Tenth term: a(10) = -10-2(10-1) = -10 - 18 = -28

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Derrick will need $39,500 in 10 years for college tuition. How much should his parents invest now at 9.5% annual interest, compo

erastova [34]

Answer:

His parents should invest $15,278.16 to reach this goal ⇒ 4th answer

Step-by-step explanation:

* Lets explain how to solve the problem

- Derrick will need $39,500 in 10 years for college tuition

∴ The future amount is $39,500

∴ The time for investment is 10 years

- P is the money his parents invest now at 9.5% annual interest,

compounded daily

∴ The rate is 9.5% per year compounded daily

- The formula of the compounded interest is:

$A=P(1+\frac{r}{n})^{nt}$ , where

# A is the future value of money

# P is the value of investment

# r is the rate of interest in decimal

# t is the time of investment

# n is the period of the time

∵ A = $39,500

∵ t = 10

∵ r = 9.5/100 = 0.095

∵ n = 365 ⇒ compounded daily

- Lets use the formula above to find P

∴ $39500=P(1+\frac{0.095}{365})^{365*10}$

∴ $39500=p(2.58539)$

- Divide both sides by 2.58539

∴ P = $15278.16

∴ His parents should invest $15,278.16 to reach this goal

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2 years ago

A police cruiser approaching a right-angled intersection from the south, is chasing a speeding car that has turned the corner an

vlada-n [284]

Three hours is the answer I think

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2 years ago

Read 2 more answers

Every time you conduct a hypothesis test, there are four possible outcomes of your decision to reject or not reject the null hyp

almond37 [142]

Answer:

1. A. You allow the passenger to board his flight when the passenger has a weapon.

2. B. You select the passenger for further inspection when the passenger has no weapon.

Explanation:

1. Remember, a Type I error in simple words means that the assumption "the passenger has a weapon" (null hypothesis) is actually true, but the airport security screener incorrectly concluded it is false. In other words, he assumed the passenger had no weapon and allowed the passenger to board his flight when he actually did have one.

2. While, a Type II error means that the assumption "the passenger has a weapon" (null hypothesis) is actually false, but the airport security screener incorrectly concluded it is true. In other words, he assumed the passenger had a weapon and selected the passenger for further inspection when he actually didn't have one.

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3 years ago

There are 450 computer's in a technology store. Alex Bought 231 of them for school. Each one was $230. He has $10,000. How much

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231 x 230 = 53,130
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2 years ago

Name the ordered pairs for the vertices on the figure below

Elanso [62]

Answer:

where is the figure?

Step-by-step explanation:

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