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3 years ago

Is the sum of 4.2 and square root of 2 rational or irrational

1 answer:

3 0

The sum of an irrational number and a rational one
is always irrational. There's nothing you can add to
an irrational number to make it behave better.

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Gianna has a two $3,000 one year CDs at different banks. Each compounds

sertanlavr [38]

Answer:

Option D

Step-by-step explanation:

To calculate compound interest we will use the formula :

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

Where,

A = Amount on maturity

P = Principal amount = $3000

r = rate of interest = 8.4% = 0.084

n = number of compounding period = Monthly = 12

t = time = 1 year

Now put the values in the formula.

$A=3000(1+\frac{0.08}{12})^{(12)(1)}$

= $3000(1+0.007)^{12}$

= 3000(1.007)¹²

= 3000 × 1.08731066

= 3261.93198 ≈ $3261.93

While the other bank compounds interest daily.

Therefore, n = 365

Now put the values in the formula with n = 365

$=3000(1+\frac{0.084}{365})^{(365)(1)}$

$=3000(1+0.00023014)^{365}$

$=3000(1.00023014)^{365}$

= 3000 × 1.08761958

= 3262.85874 ≈ $3262.86

Difference in the ending balance = 3262.86 - 3261.93

= $0.93

The difference in the ending balances of both CDs after one year would be $0.93.

8 0

3 years ago

Let V be the event that a computer contains a virus, and let W be the event that a computer contains a worm. Suppose P(V) = 0.17

ArbitrLikvidat [17]

Answer: 0.82

Step-by-step explanation:

The probability of the computer not containing neither a virus nor a worm is expressed as P( $V^{C}$ ∩ $W^{C}$ ) , where P( $V^{C}$ ) is the probability that the event V doesn't happen and P( $W^{C}$ ) is the probability that the event W doesn't happen.

P( $V^{C}$ )= 1-P(V) = 1-0.17 = 0.83

P( $W^{C}$ )=1-P(W) = 1-0.05 = 0.95

Since $V^{C}$ and $W^{C}$ aren't mutually exclusive events, then:

P( $V^{C}$ ∪ $W^{C}$ ) = P( $V^{C}$ ) + P( $W^{C}$ ) - P( $V^{C}$ ∩ $W^{C}$ )

Isolating the probability that interests us:

P( $V^{C}$ ∩ $W^{C}$ )= P( $V^{C}$ ) + P( $W^{C}$ ) - P( $V^{C}$ ∪ $W^{C}$ )

Where P( $V^{C}$ ∪ $W^{C}$ ) = 1 - 0.04 = 0.96

Finally:

P( $V^{C}$ ∩ $W^{C}$ ) = 0.83 + 0.95 - 0.96 = 0.82

5 0

3 years ago

Which tools were used by ancient mathematicians to make geometric constructions?

ArbitrLikvidat [17]

The tools that were used by ancient mathematicians to make geometric constructions are compasses and straightedges. A compass is a drawing instrument used to draw circles and arcs. The straightedges on the other hand is a tool to check on the accuracy of a straight line.

The answer is first choice.

7 0

3 years ago

Read 2 more answers

What is the cubed root of 216?

Ber [7]

Answer:

haha! You know the answer. Thanks tho!

Step-by-step explanation:

5 0

3 years ago

PLEASE HELP FAST!!!!!!!! WILL MARK BRAINLIEST FOR CORRECT ANSWER!

nexus9112 [7]

Answer:

∠B = 41°

Step-by-step explanation:

∠BCD is an exterior angle of the triangle

The exterior angle is equal to the sum of the 2 opposite interior angles, thus

∠A + ∠B = 113

72 + ∠B = 113 ( subtract 72 from both sides )

∠B = 41°

7 0

3 years ago