HELP PLZ, 100 points!!!

Mathematics

2 answers:

Kazeer [188]3 years ago

6 0

<h2>Answer:</h2><h2>Hey mate here is your answer...</h2><h2>Step-by-step explanation:</h2><h2>New value =</h2><h2>5 + Percentage increase =</h2><h2>5 + (5% × 5) =</h2><h2>5 + 5% × 5 =</h2><h2>(1 + 5%) × 5 =</h2><h2>(100% + 5%) × 5 =</h2><h2>105% × 5 =</h2><h2>105 ÷ 100 × 5 =</h2><h2>105 × 5 ÷ 100 =</h2><h2>525 ÷ 100 =</h2><h2>5.25</h2>

hope it helps you ❣️

Marta_Voda [28]3 years ago

3 0

Answer:

10.25%

Step-by-step explanation:

Let the original number be represented with x.

Increase by 5% = 5% of x = 5/100 x X = 0.05x

So, the next number = x + 0.05x = 1.05x

Increase again by 5% = 5% of 1.05x = 5/100

x1.05x = 0.05 x 1.05x = 0.0525

So, the current number = 1.05x + 0.0525x =1.1025x

$\frac{1.1025x - x}{x} = 0.1025 \times 100 = 10.25\%$

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Please help :) this is exponential decay 10 pts

VMariaS [17]

$50.00 after 0 months and $37.50 after 6 months.
We first must calculate half-life using the attached formula.
Half-Life = (time * ln(2)) / ln (beginning amount/ending amount)
Half-Life = (6 * 0.69314718056) / ln (50.00 / 37.50)
Half-Life = ( <span> <span> <span> 4.1588830834 </span> </span> </span> ) / ln ( <span> <span> <span> 1.3333333333 </span> </span> </span> )
Half-Life = ( <span> <span> 4.1588830834 </span> </span> ) / 0.28768207245
Half-Life = <span> <span> <span> 14.456525038 </span> </span> </span> months

Now we need to calculate "lambda"
lambda = ln(2) / half-life
lambda = 0.69314718056 / <span>14.456525038
lambda = </span><span><span><span>0.0479470121 </span> </span> </span>

Next we have to use this formula:
Ending Amount = beginning amount • e^( -lambda • time )
(where "e" is the mathematical constant 2.718281828...)
Ending Amount = 50 * 2.718281828^<span>(-0.0479470121*24 months)
</span><span>Ending Amount = 50 * 2.718281828^(-1.1507282904)
</span>Ending Amount = 50 * <span> <span> <span> 0.3164062499 </span> </span> </span>
Ending Amount = <span> <span> <span> 15.82</span></span></span> dollars

**********************************************************************
As a DOUBLE-CHECK we can work this out every 6 months:

0 months $50
6 months = $50 - (50 *.25) = 37.50
12 months = $37.50 -(37.50 *.25) = <span>28.125
18 months = $28.125 -(28.125 * .25) = 21.09375 </span>
24 months = $21.09375 -(21.09375 * .25) = <span> <span> <span> 15.8203125 </span> </span> </span>

You'll find this page quite helpful:
http://www.1728.org/halflif2.htm