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4 years ago

What is the greatest integer that satisfies the inequality 3x-4≤8 ?

2 answers:

7 0

To figure this out, we need to solve for the inequality. A quick way is to plug in an answer choice for x.
For example, answer choice "A.)";
3(4) -4 <_ 8
We plugged in 4 for x.
Let's see if A.) is correct.
3(4) -4 <_ 8
12 - 4 <_ 8
8 <_ 8

This is the GREATEST possible integer, as the question asks for what the highest possible number would match the inequality.

Your correct answer choice is "A.)"

I hope this helps!

Masteriza [31]4 years ago

3 0

3x - 4 ≤ 8
3x ≤ 12
x ≤ 4

answer

A.4

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Explain to different ways it is possible to add to rational numbers and get a negative number

maw [93]

Same sign add different sign subtract that means if their both positive you add and if one is positive and the other is negative you subtract

4 0

3 years ago

A person invests 4000 dollars in a bank. The bank pays 5.5% interest compounded annually. To the nearest tenth of a year, how lo

Mademuasel [1]

if the person leaves the money in the bank, the time it will take for it to reach the given final amount is 6.3 years.

<h3>What is an interest in banking?</h3>

Interest is simply the amount of money a lender or financial institution receives for lending out money or pays for receiving money.

The formular for calculating compound interest is expressed as;

A = P(1 + r/n)^(n*t)

Where A is final amount, P is initial principal balance, r is interest rate, n is number of times interest applied per time period and t is number of time periods elapsed.

Given the data in the question;

Initial principal balance P = $4000
Interest rate r = 5.5% anuually = 5.5/100 = 0.055
Final amount A = $5600
Time t = ?

We substitute our given values into the expression above.

A = P(1 + r/n)^(n*t)

5600 = 4000(1 + 0.055/1)^(1*t)

5600 = 4000( 1.055 )^t

( 1.055 )^t = 5600 / 4000

( 1.055 )^t = 1.4

We take log of each sides

0.02325t = 0.1461

t = 0.1461 / 0.02325

t = 6.3

Therefore, if the person leaves the money in the bank, the time it will take for it to reach the given final amount is 6.3 years.

Learn more about compound interest here: brainly.com/question/27128740

#SPJ1

8 0

2 years ago

4, 12, 16, 48, 64, 192,

Brut [27]

Answer:

The next term in the series is 256

Step-by-step explanation:

Lets explain how to solve the problem

The series is:

4 , 12 , 16 , 48 , 64 , 192

If we subtract 12 - 4 = 8

If we subtract 16 - 12 = 4

The difference is not constant then it's not an arithmetic series

If we divide 12 by 4 the answer is 3

If we divide 16 by 12 the answer is 4/3

The ratio is not constant then it's not a geometric series

So lets look to the odd positions 1st , 3rd , 5th, they are:

4 , 16 , 64

16 ÷ 4 = 4

64 ÷ 16 = 4

There is a constant ratio 4 between each 2 consecutive odd position

terms

Lets look to the even positions 2nd , 4th , 6th, they are:

12 , 48 , 192

48 ÷ 12 = 4

192 ÷ 48 = 4

There is a constant ratio 4 between each 2 consecutive even position

terms

Now we can find any term is the series by multiply the previous odd

position by 4 if the term in odd position and multiply the previous

even position by 4 if the term in even position

The next term is in the 7th position, then the next term is:

The number in the 5th position × 4

∵ The number in the 5th position is 64

∴ The number in the 7th position = 64 × 4 = 256

* The next term in the series is 256

8 0

3 years ago

What is the radius of a circle with a central angle of 4π7 radians that intercepts an arc of length 12π in.?

Snezhnost [94]

$\frac{4 \pi}{7}R=12 \pi \\ \\ \Rightarrow R = \frac{12 \pi \times 7}{4 \pi} \\ \\ \Rightarrow \boxed{ R = 21\ in}$

8 0

4 years ago

Greg took a trip for 21 days. He took an average of 36 black-and-white photos and 60 color photos every day. How many more color

kumpel [21]

Answer:

i think the answer is 504

Step-by-step explanation:

multiply 36 by 21

multiply 60 by 21

subtract

Hope this helps my dude! :- )

4 0

4 years ago