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Ilya [14]
3 years ago
13

Represent the given condition using a single​ variable, x. Three consecutive odd integers.

Mathematics
1 answer:
Iteru [2.4K]3 years ago
8 0
X
X+2
X+4

Those are 3 consecutive odd integers
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Slove for x <br><br> 3x+9y=24
7nadin3 [17]

Answer:

Step-by-step explanation:

Simplifying

x = 8 + 3y

4 0
2 years ago
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Which equation has the solution x = 3?
dybincka [34]

Answer:

2x + 4 = 10 = x =3

Step-by-step explanation:

09 - 31 = 0  (the variable x is not present in the given system)

0 +5=6  (the variable x is not present in the given system)

2x + 4 = 10  = x = 3

09-1=4  (the variable x is not present in the given system)

51 - 7 = 1  (the variable x is not present in the given system)

3x + 1 = 9 = x = 8/3

6 0
3 years ago
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.

4 0
3 years ago
The sale tax on the purchase of a refrigerator that cost 695 is 7 percent.What is the amount of sales tax
Dafna1 [17]
The answer is .07 × 695 = 48.65
5 0
3 years ago
Which of the following expressions are equivalent to -5.1/4.3
jonny [76]

Answer:

1.186

Step-by-step explanation:

3 0
3 years ago
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