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3 years ago

What number (n) must be inserted into the number 3n,85n for it to be divisible by 6?

1 answer:

5 0

<span>N = number that must be inserted in the given numbers to be divisible by 6
=> 3n
=> 85n
Now, let’s find a best number that will multiplied with both given number and is divisible with 6.
=> 85n / 6
=> 85(6) / 6
=> 510 / 6
=>n = 6
now, let’s try to 3
=> 3(6) / 6
=> 18 / 6
=> 3
Thus, the value of N is 6 because it is divisible by 6 when multiplied to the given number.

</span>

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Linda sells handmade jjewelry. She sells bracelets for $27.00, and the sales tax 6.5% of the sale price. Anout how much is the s

nexus9112 [7]

Answer:

sales tax was $1.76

Step-by-step explanation:

$27 - 6.5% = 25.24

$27 - $25.24 = $1.76

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2 years ago

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Find the measure of AEB<br><br> - already have answer just need the work

Digiron [165]

Based on the central angle theorem, the measure of angle AEB is: 140°.

<h3>What is the Central Angle Theorem?</h3>

According to the central angle theorem, the measure of an intercepted arc = measure of the central angle.

Arc AB = 140° [intercepted arc]

Angle AEB is the central angle.

Thus, based on the central angle theorem, the measure of angle AEB is: 140°.

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2 years ago

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To solve this, you cross multiply, then divide. In this case, we multiply 4 and 2, then divide by 3.

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3 years ago

You move down 6 units. You end at (10, 4). Where did you start?

Alexandra [31]

Answer:

(10,10)

Step-by-step explanation:

coordinates are (x,y)

x is horizontal(left and right), y is vertical (up and down)

going down 6 means subtracting 6 from the second number

lets reverse that to go up and add 6 back

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2 years ago

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Fiona invested $1000 at 7% compounded continuously. At the same time, Maria invested $1100 at 7% compounded daily. How long will

Natali [406]

9514 1404 393

Answer:

14,201 years

Step-by-step explanation:

The two compound interest formulas are ...

A = P·e^(rt) . . . . . continuous compounding at rate r for t years

A = P·(1 +r/365)^(365t) . . . . . daily compounding at rate r for t years

We went the amounts to be equal:

1000·e^(0.07t) = 1100·(1+0.07/365)^(365t)

Dividing by 1000(1 +0.07/365)^(365t), we have ...

((e^0.07)/(1+0.07/365)^365)^t = 1.1

The base of the exponential on the left is ...

( e^0.07)/(1+0.07/365)^365 ≈ 1.00000671149321522

Taking logs, we have ...

t×ln(1.00000671149321522) = ln(1.1)

t = ln(1.1)/ln(1.00000671149321522) ≈ 0.09531018/(6.7114704·10^-6)

t ≈ 14,201.09 . . . . . years

It will take about 14,201 years for the investments to be equal.

_____

<em>Additional comment</em>

The investment value at that time will be about $5.269·10^434. (That's a larger number than <em>anything</em> countable in the known universe, including energy quanta.)

These calculations are beyond the ability of many calculators, so might need to be carefully rewritten if the calculator only keeps 10 significant digits, or only manages exponents less than 100.

This shows that daily compounding is very close in effect to continuous compounding. It would take almost 150 years to make a difference of 0.1% in value.

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3 years ago