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kap26 [50]
3 years ago
14

Toms weekly salary increased from $240 to $270. what was the percent of change?

Mathematics
2 answers:
igomit [66]3 years ago
6 0

Answer:

12.5%

Step-by-step explanation:

So you notice $240 to $270 increased $30. So take 30 divided by 240 to find the percent and add back to 240 to see if it makes 270. :)

8_murik_8 [283]3 years ago
5 0

Answer:

12.5%

Step-by-step explanation:

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Find three consecutive integers whose sum is equal to −354. Three consecutive integers in ascending form are __,__,__
mixer [17]

Answer: -119, -120, and -121

Step-by-step explanation: This problem states that the sum of three consecutive integers is -354 and it asks us to find the integers. Three consecutive integers can be represented as followed.

X ⇒ <em>first integer</em>

X + 1 ⇒ <em>second integer</em>

X + 2 ⇒<em> third integer</em>

<em />

Since the sum of our three consecutive integers is -354, we can set up an equation to represent this.

X + X + 1 + X + 2 = -354

Now, we can simplify on the left side of the equation.

3x + 3 = -354

      -3      -3    ← subtract 3 on both sides of the equation

3x = -357

÷3     ÷3     ← divide both sides by 3

X = -119

X ⇒ <em>first integer = </em><em>-119</em>

X + 1 ⇒ <em>second integer = </em><em>-120</em>

X + 2 ⇒<em> third integer = </em><em>-121</em>

<em />

Therefore, our three consecutive integers are -119, -120, and -121.

6 0
3 years ago
Read 2 more answers
1. The number of rabbits on an island is increasing exponentially.
Zina [86]

Answer:

<em>There are approximately 114 rabbits in the year 10</em>

Step-by-step explanation:

<u>Exponential Growth </u>

The natural growth of some magnitudes can be modeled by the equation:

P=P_o(1+r)^t

Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.

We are given two measurements of the population of rabbits on an island.

In year 1, there are 50 rabbits. This is the point (1,50)

In year 5, there are 72 rabbits. This is the point (5,72)

Substituting in the general model, we have:

50=P_o(1+r)^1

50=P_o(1+r)\qquad\qquad[1]

72=P_o(1+r)^5\qquad\qquad[2]

Dividing [2] by [1]:

\displaystyle \frac{72}{50}=(1+r)^{5-1}=(1+r)^{4}

Solving for r:

\displaystyle r=\sqrt[4]{\frac{72}{50}}-1

Calculating:

r=0.095445

From [1], solve for Po:

\displaystyle P_o=\frac{72}{(1+r)^5}

\displaystyle P_o=\frac{72}{(1.095445)^5}

P_o=45.64355

The model can be written now as:

P=45.64355(1.095445)^t

In year t=10, the population of rabbits is:

P=45.64355(1.095445)^{10}

P = 113.6

P\approx 114

There are approximately 114 rabbits in the year 10

5 0
3 years ago
Hello i need help with these questions asap!!
makvit [3.9K]

We use direct proportionality:

360⁰......Pi×R² (full circle)

120⁰.......x

x=120×pi×R²/360=pi×R²/3

x=pi×4²/3=16.76mi²

A=3×pi cm², for an angle of 2×pi/3=120⁰

In a similar way we compute the area of the full circle:

360.........x

120..........3×pi

x=3×pi×360/120=9×pi=3²×pi.

Thus the radius is 3cm.

3 0
3 years ago
Write as an expression: twice the product of the cube of a and the square of b
Tju [1.3M]

Answer:

the square root of 2(x^3 * x^2)

Step-by-step explanation:

twice means 2 and product means either division or multiplication (multiplication in this scenario because twice means multiply).  cubed means to the third power

note i don't know how to put a square root sign so i wrote it out

hope i helped

8 0
3 years ago
Read 2 more answers
WILL GIVE BRAINLIEST! In any boxplot, what percent of the data is above the 3rd quartile?
Margarita [4]
75% because a third quartile is 3/4 which is 75% which if you break each fourth down it would be 25% so then you multiply 25%x3 to get 75%
5 0
2 years ago
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