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Ainat [17]
2 years ago
5

Identify whether each of the following statements is true or false.

Mathematics
1 answer:
zhannawk [14.2K]2 years ago
3 0

Answer:

1. - TRUE

2. FALSE

3.  FALSE

4. . TRUE

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The amount of money earned by bank customers based on the amount of principal in their savings account is _______________.
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interest

Step-by-step explanation:

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The front of a tent is an equilateral triangle with the ratio of its base, b, to its height, h, given by b/h=2/√ 3 . Which equat
Agata [3.3K]
Picturing the tent helps, but we can actually solve this question using simple algebra and no knowledge of triangles. 
The key is this function:
(b/h) = 2/√3  
We want to get h by itself. First, multiply both sides by h:
b = h(2/√3)       Now multiply both sides by the reciprical, (√3/2)
(√3/2) b = h

Therefore, the answer is C) h= b(√3/2)
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3 years ago
I need someone who’s very smart
tino4ka555 [31]

The first one is in the hundredths place, and the second one is in the tenths place.

Hope this helps you! Happy Thanksgiving, here's a turkey!

3 0
3 years ago
Read 2 more answers
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
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