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2 years ago

5x^2y/15xy simplified?

Mathematics

1 answer:

jeyben [28]2 years ago

7 0

Answer: x/3

Step-by-step explanation:

5x²y/15xy

=x²y/3xy ⇔ divide 5 on both sides

=x²/3x ⇔ eliminate y

=x/3 ⇔ divide x on both sides

Hope this helps!! :)

Please let me know if you have any question

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If the principal is $300 rate 3% time 4 years then what is the interest earned and the new balance

Tomtit [17]

Answer:

a) Interest earned = $36

New Balance = $336

b) Interest rate = 0.05 or 5%

New Balance = $517.5

c) time t = 5

New Balance = $612.5

d) Principal Amount = $675

New Balance = $783

Step-by-step explanation:

We are given:

a) Principal (P) = $300

Rate (r) = 3% or 0.03

Time (t)= 4 years

Interest earned = ?

The formula used is: $Simple \ Interest (I)= P\times r\times t$

Putting values and finding interest

$Simple \ Interest (I)= P\times r\times t\\Simple \ Interest (I)= 300\times 0.03\times 4\\Simple \ Interest (I)= 36$

So, Interest earned = $36

New Balance = Principal + Interest = 300+36 = $336

b) a) Principal (P) = $300

Rate (r) = ?

Time (t)= 3 years

Interest earned = 67.50

The formula used is: $Simple \ Interest (I)= P\times r\times t$

Putting values and finding rate

$Simple \ Interest (I)= P\times r\times t\\67.50= 450\times r\times 3\\67.50=1350\times r\\r=\frac{67.50}{1350}\\r=0.05 \ or \ 5\%$

So, Interest rate = 0.05 or 5%

New Balance = Principal + Interest = 450+67.50 = $517.5

c) Principal (P) = $500

Rate (r) = 4.5% or 0.045

Time (t)= ?

Interest earned = $112.50

The formula used is: $Simple \ Interest (I)= P\times r\times t$

Putting values and finding time

$Simple \ Interest (I)= P\times r\times t\\112.50= 500\times 0.045\times t\\112.50=22.5 \times t\\t=\frac{112.50}{22.5}\\t=5$

So, time t = 5

New Balance = Principal + Interest = 500+112.50 = $612.5

d) Principal (P) = ?

Rate (r) = 8% or 0.08

Time (t)= 2 years

Interest earned = 108.00

The formula used is: $Simple \ Interest (I)= P\times r\times t$

Putting values and finding Principal

$Simple \ Interest (I)= P\times r\times t\\108=P\times 0.08 \times 2\\108=P\times 0.16\\P=\frac{108}{0.16}\\P=675$

So, Principal Amount = $675

New Balance = Principal + Interest = 675+108 = $783

8 0

2 years ago

5x + 3 = 23 5. 4 = 3a – 14 6. 2y + 5 = 19 i need help with this equation

mrs_skeptik [129]

Answer:

Step-by-step explanation:

5x + 3 = 23 x=4

5. 4 = 3a – 14 a=6

6. 2y + 5 = 19 y=7

6 0

3 years ago

Work out the percentage change to 2 decimal places when a price of £8.95 is increased to £10.

kicyunya [14]

Answer:

12% increase

Step-by-step explanation:

Divide the difference between the two prices by the original price:

1.05/8.95

= 0.12

So, the percent change is 12%

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2 years ago

What is the value of x in the equation 2(x-3)+9=3(x+1)+x?

Sergio039 [100]

Answer:

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

How much sugar does the recipe for a full batch of cookies call for

olchik [2.2K]

Answer:

Step-by-step explanation:

2/3 cup is 1/4 of recipe to total, then X would be 4/4 of the recipe.

2/3 X

------ = --------

1/4 1

Cross multiply and you get x/4 = 2/3, simplfy to 3x=8, divide by 3 and you get 8/3 of a cup for the whole recipe. 8/3 is the same as 2 and 2/3 cup

8 0

2 years ago

5x^2y/15xy simplified?​

5x^2y/15xy simplified?