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Natalija [7]
3 years ago
5

If As income is 20% more than Bs income, how much percent is Bs income less than As income

Mathematics
1 answer:
vitfil [10]3 years ago
6 0
As\ is\ 120\%\ Bs\\\\120\%=1.2\to\frac{As}{Bs}=1.2\\\\\frac{As}{Bs}=\frac{12}{10}\to\frac{Bs}{As}=\frac{10}{12}\to\frac{Bs}{As}=\frac{5}{6}\\\\\frac{5}{6}\cdot100\%=\frac{500}{6}\%=83\frac{1}{3}\%\\\\100\%-83\frac{1}{3}\%=16\frac{2}{3}\%\\\\Answer:Bs\ income\ is\ 16\frac{2}{3}\%\ less\ than\ As\ income.
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Jeri finds a pile of money with at least $\$200$. If she puts $\$50$ of the pile in her left pocket, gives away $\frac23$ of the
Marizza181 [45]

Answer:

The possible values of the number of dollars in the original pile of money is ≥ $200 but < $350

Step-by-step explanation:

Here we have, pile of money ≥ $200

Amount in put the left pocket = $50

Fraction given away = 2/3 of rest of pile ≥ 2/3×150 ≥ $100

Amount put in right pocket = ≥ $150 - $100 ≥ $50

Total amount remaining with Jeri = $50 +≥ $50 ≥ $100

Also original pile - $200 < $100

Therefore where maximum amount given away to have more money = $200 we have

2/3× (original pile - 50) = $200

Maximum amount for original pile = $350

Therefore the possible values of the number of dollars in the original pile of money is ≥ $200 but < $350.

6 0
3 years ago
PLEASE HELP !
rewona [7]
<h3>Answer:  Choice D)  -$22</h3>

You'll lose on average $22 per roll.

====================================================

Explanation:

Normally there is a 1/6 chance to land on any given side of a standard die, but your friend has loaded the die in a way to make it have a 40% chance to land on "1" and an equal chance to land on anything else. Since there's a 40% chance to land on "1", this leaves 100% - 40% = 60% for everything else.  

Let's define two events

  • A = event of landing on "1".
  • B = event of landing on anything else (2 through 6).

So far we know that P(A) = 0.40 and P(B) = 0.60; I'm using the decimal form of each percentage.

The net value of event A, which I'll denote as V(A), is -100 since you pay $100 when event A occurs. So we'll write V(A) = -100. Also, we know that V(B) = 30 and this value is positive because you receive $30 if event B occurs.

To recap things so far, we have the following:

  • P(A) = 0.40
  • P(B) = 0.60
  • V(A) = -100
  • V(B) = 30

Multiply the corresponding probability and net value items together

  • P(A)*V(A) = 0.40*(-100) = -40
  • P(B)*V(B) = 0.60*30 = 18

Then add up those products:

-40+18 = -22

This is the expected value, and it represents the average amount of money you earn for each dice roll. So you'll lose on average about $22. Because the expected value is not zero, this means this game is not mathematically fair.

This does not mean that any single die roll you would lose $22; instead it means that if you played the game say 1000 or 10,000 times, then averaging out the wins and losses will get you close to a loss of $22.

7 0
3 years ago
If $1,000 is loaned for 5 months at 6 % annual rate, how much interest is earned?
In-s [12.5K]

Answer:

Interest earned is $25.2

Step-by-step explanation:

The formula to find simple interest is:

I = P₀rt

Where

I = interest rate

P₀ = Principal amount

r = interest rate

t= time

5 months = 5/12 years = 0.42 years

I = 1000* 6/100*0.42

I = 1000*0.06*0.42

I = 60*0.42

I = 25.2

Interest earned is $25.2

5 0
3 years ago
The Glazed Donut Shop made 120 donuts, and 48 of them are filled with jelly. What percent of the donuts are filled with jelly?
fomenos

Answer:

just divide 48 by 120

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
4/5 minus 1/3 plz i need help
IRISSAK [1]

Answer:

7/15

Step-by-step explanation:

Step 1

We can't subtract two fractions with different denominators. So you need to get a common denominator. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.

So we multiply 4 by 3, and get 12.

Then we multiply 1 by 5, and get 5.

Next we give both terms new denominators -- 5 × 3 = 15.

So now our fractions look like this:

12

15

−  

5

15

Step 2

Since our denominators match, we can subtract the numerators.

12 − 5 = 7

So the answer is:

7

15

Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

To find out, we try dividing it by 2...

Nope! So now we try the next greatest prime number, 3...

Nope! So now we try the next greatest prime number, 5...

Nope! So now we try the next greatest prime number, 7...

Nope! So now we try the next greatest prime number, 11...

No good. 11 is larger than 7. So we're done reducing.

6 0
3 years ago
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