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nalin [4]
3 years ago
9

the cable of a hoist has a cross-section of 80 mm2. the hoist is used to lift a crate weighing 500 kg. what is the stress in the

cable? the free length of the cable is 3 m. how much will it extend if it is made of steel (modulus 200 gpa)?howmuchifitismadeofpolypropylene,pp(modulus1.2 gpa)?

Mathematics
1 answer:
Daniel [21]3 years ago
3 0

Answer:

stress on the cable is 61.312mpa

If steel is used, extension will be 0.91968mm

If polypropylene is used, extension will be 0.1532mm

Step-by-step explanation: detailed explanation and calculation is shown in the image below

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malfutka [58]

Answer:

I think your answer will be 21 cause you timeing the 3 by 7

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4. John Payer, owner of Payer's Garage, estimates he will need $55,000 for
Shalnov [3]

Answer:

$29364.95

Step-by-step explanation:

The formula to apply is;

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

where ;

A=amount at the end

P=principal amount

r=rate of interest as a decimal

n=number of compoundings a year

t=total number of years

Given in the question

A=$55000

t=8 years

n=2

r=0.08

P=?

Substitute the values in the equation;

A=P(1+\frac{r}{n} )^{nt} \\\\\\55000=P(1+\frac{0.08}{2} )^{8*2} \\\\\\55000=P(1+0.04)^{16} \\\\\\55000=P(1.04)^{16} \\\\\\55000=1.8729P\\\\\\\frac{55000}{1.8729} =\frac{1.8729P}{1.8729} \\\\\\29364.95=P

Checking the answer

A=P(1+\frac{r}{n} )^{nt} \\\\\\A=29364.95(1+\frac{0.08}{2} )^{16} \\\\\\A=29364.95(1.04)^{16} \\\\\\A=55000

8 0
3 years ago
Jack deposited $47,323.15 in an account earning 5% interest compounded annually.
Vera_Pavlovna [14]

Answer:

Jack's final bank account amount will be $54,782.50, <em>earning</em> <u>$7,459.31</u> in <em>interest</em>.

General Formulas and Concepts:
<u>Algebra I</u>

Compounded Interest Rate Formula: \displaystyle A = P \bigg( 1 + \frac{r}{n} \bigg) ^{nt}

  • <em>A</em> is final amount
  • <em>P</em> is principle amount
  • <em>r</em> is rate
  • <em>n</em> is compounded rate
  • <em>t</em> is time

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify given variables</em>.

<em>P</em> = $47,323.15

<em>r</em> = 0.05

<em>n</em> = 1

<em>t</em> = 3

<u>Step 2: Find Interest</u>

  1. [Compounded Interest Rate Formula] Substitute in variables:
    \displaystyle A = 47323.15 \bigg( 1 + \frac{0.05}{1} \bigg) ^{1(3)}
  2. Evaluate:
    \displaystyle A = \boxed{54782.5}

∴ Jack will <em>gain</em> $7,459.31 and have a net balance of $54,782.50.

---

Learn more about Algebra I: brainly.com/question/27710663

---

Topic: Algebra I

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The correct answer would be 0 i believe
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Is it possible that for every right triangle, it has two complementary angles?
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Yes, every right triangle has two complementary angles.

This is because you know that the interior angles of a triangle have to add up to 180 degrees.

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Two angles whose sum is 90 degrees are complementary.
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3 years ago
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