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Oduvanchick [21]
3 years ago
15

30 packages a minute are unloaded from a truck that has 2700 packages. How long would it take to unload the truck?

Mathematics
1 answer:
KATRIN_1 [288]3 years ago
3 0
It will take 90 minutes which is also an hour and a half.

Please vote my answer brainliest. thanks!
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If the price of an object dropped 35% down to 91.00, what was the original price?
densk [106]
260 was its original prize.
8 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
What is the answer to 4/5 x 3/4
Furkat [3]

3/4  x 4/5

= 3 · 4/4 · 5

= 12/20

= 3 · 4/5 · 4

= 3/5

4 0
3 years ago
Read 2 more answers
Two angles are supplementary angles if the sum of their measures is​ 180°. find two supplementary angles such that the measure o
charle [14.2K]
Let the measure of the second angle be x.
The first angle has measure 3x - 34.
The sum of the measures is 180.

x + 3x - 34 = 180

4x - 34 = 180

4x = 214

x = 53.5

The second angle has measure 53.5 deg.

3x - 34 = 3 * 53.5 - 34 = 160.5 - 34 = 126.5

The measure of the first angle is 126.5 deg.

Answer: The measures are 126.5 deg and 53.5 deg.
7 0
3 years ago
Find the equation, f(x) = a(x-h)2 + k, for a parabola that passes through the point (0, 0) and has (-3, -6) as its vertex. What
Arisa [49]
F(x) = a(x-h)²<span> + k

</span><span><u>Given that the vertex is (-3 -6):</u>

</span>f(x) = a(x + 3)² -6
<span>
<u>Given that it passes through (0.0), find a:</u>

a(0 + 3)</span>² - 6 = 0
<span>
9a - 6 = 0

9a = 6

a = 6/9 =2/3

<u>So the equation is :</u>

</span>f(x) = 2/3(x + 3)² -6
<span>
<u>Write the equation in standard form:</u>

</span>f(x) = 2/3(x² + 6x + 9) - 6

f(x) = 2/3x² + 4x + 6 - 6

f(x) = 2/3x² + 4x
<span>
Answer: </span>f(x) = 2/3x² + 4x<span>


</span>
6 0
3 years ago
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