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Alja [10]
3 years ago
12

Math true or false

Mathematics
1 answer:
GenaCL600 [577]3 years ago
5 0

Answer:

  1. False
  2. False
  3. True

Step-by-step explanation:

Since the given expression represents the account balance, the initial amount (when x=0) is $500 in Account A, and $100 in Account B. (Less money was invested in account B.)

The growth rate of each account is $1.03 per year.* (The growth rate ($/year) is identical for each account.)

The total of the initial amounts invested is $500 +100 = $600.

_____

<em>* Comment on growth rate</em>

Since the account balance is shown as <em>greater than</em> or equal to the given expression, there appears to be the possibility that adjustments are made to the account balance by some means other than the growth predicted by this inequality. For example, if the balance in Account A is $900 at the end of 1 year, the inequality will still be true, but the extra $398.97 will be in addition to the $1.03 growth predicted by this expression.

This means <em>we really cannot say what the growth rates of the accounts might be</em>, except that it is a minimum of $1.03 per year in each account.

_____

<em>Comment on the expressions</em>

More usually, we would expect to see an account balance have the equation a = 400·1.03^x. That is, the interest rate would be 3% and it would be compounded annually. The expression 400 + 1.03x is very unusual in this situation.

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The difference between 3 times a number x and 2 is 19. What is the value of x?
Ber [7]

Answer:

the value of x is 7.

Step-by-step explanation:

2+19=21

21÷3=7

Check:

3×7=21

21-2=19

Therefore, 7 is the answer.

6 0
3 years ago
Can you help me i don’t know the answers
Advocard [28]
1)

An irrational number is a number that a) can't be written as a fraction of two whole numbers AND b) is an infinite decimal without any sort of pattern.

For the first answer choice, clearly \frac{1}{3} does not pass the first criterion so we look at the second choice.

Let's come back to \sqrt{2} and \pi.

\frac{2}{9} doesn't meet our first criterion, and let's skip \sqrt{3} for now.

It is often easier to disprove an irrational number than to prove one. There are a few famous irrationals to know (although there is an infinite number of irrationals). The most common are \sqrt{2},  \pi, e,  \sqrt{3}. For now, it's just helpful to know these and recognize them.

So we can check off \sqrt{2},  \pi and \sqrt{3}.

2) 

For this next question, we know that \sqrt{64} = 8. Clearly this isn't irrational. Likewise, \frac{1}{2} isn't irrational. \frac{16}{4} =  \frac{4}{4} = 1, which is rational, leaving only \frac{ \sqrt{20}}{5} =  \frac{2 \sqrt{5} }{5}. By process of elimination, this is the correct answer. Indeed, \sqrt{5} is an irrational number.

3) This notation means that we have 0.3636363636... and so on, to an infinite number of digits. It is called a repeating decimal.

But it can be written as a fraction because its pattern repeats, unlike for an irrational number.

Let's say x=0.36363636.... Would you agree that 100x=36.36363636...? (We choose to multiply by 100 because there are two decimals that repeat. For 1, choose 10, for 3 choose 1,000, and so on.)

Now, let's subtract x from 100x and solve.

100x=36.36363636\\-x \ \ \ \ \ \ \ -0.36363636\\99x=36\\\\x= \dfrac{36}{99}= \dfrac{4}{11}

Voila!
4 0
3 years ago
Read 2 more answers
Suggest the best imperial unit to measure:
ella [17]
1-kilometers or miles
2-what is the size of the jug? (If is smal use ml if is large liters
3-grames ou onces
4onces or kilograms
5 0
3 years ago
Read 2 more answers
Please help me with this question :)​
egoroff_w [7]

Answer:

Plot 3 and -3

Step-by-step explanation:

Given:

|2n| = 6

Solving for the positive part of the equation:

2n = 6 \\ \frac{2n}{2} = \frac{6}{2} \\ n = 3

Solving for the negative part of the equation:

-2n = 6 \\ \frac{-2n}{-2n} = \frac{6}{-2} \\ n = -3

3 0
2 years ago
Janeile has 6 hours to spend training for an upcoming race. She completes her training by running full speed the distance of the
Flauer [41]

Answer:

running 1.5 hours

Walking 4.5 hours

Step-by-step explanation:

Let the amount of time she spends on walking be x

d/3 + d/9 = 6            Multiply by 9

3d + d = 6*9

4d = 54                     Divide by 4

4d/4 = 54/4            

d = 13 2/4 = 13 1/2 = 13.5 miles

d/3 = 13.5/3 = 4.5 hours

d/9 = 13.5/<u>9 = 1.5 hours</u>

Total                6 hours

I hope this is the right interpretation.

7 0
2 years ago
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