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KIM [24]
1 year ago
9

Babu has 540 cakes. He wants to distribute them equally to some persons. If the number of cakes given to each person is equal to

15% of the number of persons, find the number of cakes given to each person.
Mathematics
1 answer:
Zina [86]1 year ago
4 0

Answer:

9 cakes

Step-by-step explanation:

Let the number of cakes = x

Let the number of persons = y

y = \frac{540}{x}

Since x = (\frac{15}{100})y

\frac{540}{\frac{15}{100}}y = y

y² = \frac{(540\time 100}{15})y = 3600

y = ±√3600

y = 60    [60 persons]

x = \frac{540}{60} = 9

9 cakes given to each person.

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Fiesta28 [93]
The answer to that would be 1.04166667.
3 0
2 years ago
suppose you could make a single "lump sum" deposit of $3679, in an investment that provides an annual percentage rate(apr) of 4%
yaroslaw [1]

Answer:

\$5,698.30  

Step-by-step explanation:

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  (future value)

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t=11\ years\\ P=\$3,679\\ r=4\%=4/100=0.04\\n=365  

substitute in the formula above

A=3,670(1+\frac{0.04}{365})^{365*11}  

A=\$5,698.30  

3 0
2 years ago
The organizers of a fair projected a 25 percent increase in attendance this year over that of last year, but attendance this yea
Gnom [1K]

Answer: 64 %

Step-by-step explanation:

Assume attendance last year to be equal to "x"

- An increase in percentage sees us add the percentage amount to 100.

- A decrease in percentage sees us subtract the percentage amount from 100.

Projected attendance = ((100+25)/100) * x = 1.25x

Actual attendance = ((100-20)/100) * x = 0.80x

Hence ratio of a actual to projected attendance = 0.80x/1.25x = 0.64

Convert into percentage = 0.64 * 100 = 64 %

5 0
2 years ago
Which statement proves that △XYZ is an isosceles right triangle? XZ ⊥ XY XZ = XY = 5 The slope of XZ is , the slope of XY is , a
hammer [34]
The first statement, XZ ⊥ XY and XY = XZ = 5 proves that the triangle XYZ is isosceles.


One isosceles triangle has two congruent sides and two congruent angles.

And you should also know the theorem that states that if two sides of a triangle are congruent then the two angles opposite that sides are also congruent.


So, given that the two sides XZ and XY are congruent, their opposite sides are also congruent, and that proves that the the triangle is isosceles.


5 0
1 year ago
Read 2 more answers
A manufacturer produces jeans in 9 sizes, 7 different colors, and 6 different stitching patterns. If a branch store manager orde
Natali5045456 [20]

Answer:

378

Step-by-step explanation:

9 by 7 by 6 = 378

multiply the numbers with the others then round if needed to match the question.

4 0
2 years ago
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