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3 years ago

What is 2% written as a fraction in simplest form

Mathematics

2 answers:

Ymorist [56]3 years ago

7 0

It’s 1/50 because 2% is 2/100 which can be simplified to 1/50

Nataly_w [17]3 years ago

7 0

The answer is 1/50. Because 2%=0.2=2/100=1/50.
The reason why 2/100 gets reduced to 1/50 is because when you divide both numbers by 2 you get 1/50.

Hope this Helps! :)

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If a tower casts a shadow 11 feet long the distance from the top of the tower to the end of the shadow is 61 feet .. How many fe

Svetach [21]

$Use\ the\ Pythagoras\ Theorem:\\\\H^2+11^2=61^2\\\\H^2+121=3721\ \ \ \ |subtract\ 121\ from\ both\ sides\\\\H^2=3600\\\\H=\sqrt{3600}\\\\\boxed{H=60}\\\\Answer:Tower\ is\ 60\ feet\ tall.$ Answer here

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3 years ago

Andrew has a four-year college loan for $20,000. The lender charges a simple interest rate of 5 percent. How much interest will

Olegator [25]

Given that loan amount P=20000

Interest rate r=5% = 0.05

Time of loan t=4 years

Now to find the interest amount we just plug those values into formula

simple interest = P × r × t

simple interest = 20000* 0.05* 4

simple interest = 1000 * 4

simple interest = 4000

Hence final answer is choice b. $4000.

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3 years ago

Read 2 more answers

226Ra has a half-life of 1599 years. How much is left after 1000 years if the initial amount was 10 g?

Ray Of Light [21]

$\bf \textit{Amount for Exponential Decay using Half-Life}\\\\
A=P\left( \frac{1}{2} \right)^{\frac{t}{h}}\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{initial amount}\to &10\\
t=\textit{elapsed time}\to &1000\\
h=\textit{half-life}\to &1599
\end{cases}
\\\\\\
A=10\left( \frac{1}{2} \right)^{\frac{1000}{1599}}$

8 0

3 years ago

g Given the system of equations: 15 c1 – 5 c2 – c3 = 2400 - 5 c1 + 18 c2 – 6 c3 = 3500 - 4 c1 - c2 + 12 c3 = 4000 (a) Calculate

denpristay [2]

Answer

(a)

$A^{-1} = \frac{1}{3493} \begin{pmatrix} 210 && -59 && -12 \\ 84 && 176 && 95 \\ 77 && -5 && 295 \end{pmatrix}$

(b)

$A^{-1} b = \begin{pmatrix} \frac{500}{7} \\\\ \frac{2400}{7} \\\\ \frac{2700}{7} \end{pmatrix}$

Step-by-step explanation:

Remember that when you want to solve a problem like this, you express the equation as following

$Ax = b$

So, if you know the inverse of $A$ then

$x = A^{-1} b$

For this case

$A = \begin{pmatrix} 15 && 5 && -1 \\ -5 && 18 && -6 \\ -4 && -1 && 12 \end{pmatrix}$

Now for this case the inverse of A would be

$A^{-1} = \frac{1}{3493} \begin{pmatrix} 210 && -59 && -12 \\ 84 && 176 && 95 \\ 77 && -5 && 295 \end{pmatrix}$

Then when you multiply with the vector solution

$A^{-1} b = \frac{1}{3493} \begin{pmatrix} 210 && -59 && -12 \\ 84 && 176 && 95 \\ 77 && -5 && 295 \end{pmatrix} * \begin{pmatrix} 2400 \\ 3500 \\ 4000 \end{pmatrix} = \frac{1}{3493} \begin{pmatrix} 249500 \\ 1197600 \\ 1347300 \end{pmatrix}\\\\\\= \begin{pmatrix} \frac{500}{7} \\\\ \frac{2400}{7} \\\\ \frac{2700}{7} \end{pmatrix}$

So from that information you can conclude that the solution to the system of equations is x = 500/7 y = 2400/7 and z = 2700/7

7 0

3 years ago

A toy factory makes a red toy, a green toy, and a blue toy. In a lot of 2,500 toys, 500 were red, 1,500 were green, and 500 were

Alborosie

<span>Could you please mark as brainliest? Number of defective blue toys = 0.04 * 500 = 20 Number of defective red toys = 0.04 * 500 = 20 40 defective blue and red toys Probability = 40 / 2500...which simplifies to 2 / 125 if you want your answer as a fraction or 1.6% if you want a percentage or 0.016 if you want a decimal</span>

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3 years ago