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2 years ago

Can you guys pls Help me on this

Mathematics

1 answer:

Tom [10]2 years ago

6 0

9514 1404 393

Answer:

a) x > -2

b) 7 ≤ y

c) n ≤ 20

d) g ≥ 19

e) -5 < w

Step-by-step explanation:

Recognize the following English translations:

"no more than" means "less than or equal to" (≤)

"at least" means "greater than or equal to" (≥)

With these translations and the ones shown in your figure, you have ...

a) x > -2

b) 7 ≤ y

c) n ≤ 20

d) g ≥ 19

e) -5 < w

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Divide both sides by -5
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We want to isolate x to solve for it. The opposite of a square root is a square, so square both sides.
x = 9
It can't be -9 because the square root of negative numbers are not real numbers.

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Answer: A

Suppose that the last dollar that Victoria receives as income

brings her a marginal utility of 10 utils while the last dollar that

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15 utils. If our goal is to maximize the combined total utility of

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a. Redistribute income from Victoria to Frederick

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c. Not engage in any redistribution because the current situation already maximizes total utility

d. None of the above

Step-by-step explanation:

Marginal utility is the added satisfaction derived from consuming an additional unit of a good or service. In the above question, Fredrick derives more satisfaction from his last dollar than Victoria, and will therefore achieve a higher marginal utility with additional income than Victoria does with her current income. If we want to maximize the combined utility, we should redistribute income from Victoria to Fredrick.

The logic behind this is the diminishing marginal utility. The first unit of a good consumed gives the highest level of satisfaction, marginal utility reduces with additional units consumed. In the same way, when we spend our income, we purchase the things that give us the maximum satisfaction first.

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What is 86.92 in pi terms

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Vanessa deposits $24,000 into each of two savings accounts. Account I earns 2. 4% interest compounded annually. Account II earns

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The sum of the balances of these accounts at the end of 5 years is given by: Option B: $53,901.59 (approx)

<h3>How to calculate compound interest's amount?</h3>

If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that compound interest, then the interest amount earned is given by:

$CI = P(1 +\dfrac{R}{100})^T - P$

The final amount becomes:

$A = CI + P\\A = P(1 +\dfrac{R}{100})^T$

<h3>How to calculate simple interest amount?</h3>

If the initial amount (also called as principal amount) is P, and the interest rate is R% annually, and it is left for T years for that simple interest, then the interest amount earned is given by:

$I = \dfrac{P \times R \times T}{100}$

For the considered case, we're given that:

Initial amount in both accounts deposited = $24,000 = P
Type of interest: Compound interest in first account and simple interest in second account
Unit of time: Annually
Rate of interest = 2.4% annually = R
Total unit of time for which amount is to be calculated: 5 years = T

In first account, the final amount at the end of 5 years is evaluated as:

$A = 24000(1 + \dfrac{2.4}{100})^4 = 24000(1.024)^4 \approx 27021.59\: \rm (in \: dollars)$