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2 years ago

Is the percent increase for 50 to 70 = to the percent decrease from 70 to 50

Mathematics

1 answer:

Arisa [49]2 years ago

6 0

Answer:

no it is not equal.

Step-by-step explanation:

when you calculate the percentages, you will find that the increase has 40% while the decrease has about 28.6%

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The area of ABED is 49 square units. Given AGequals9 units and ACequals10 units, what fraction of the area of ACIG is represent

stiks02 [169]

Answer:

The fraction of the area of ACIG represented by the shaped region is 7/18

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

In the square ABED find the length side of the square

we know that

AB=BE=ED=AD

The area of s square is

$A=b^{2}$

where b is the length side of the square

we have

$A=49\ units^2$

substitute

$49=b^{2}$

$b=7\ units$

therefore

$AB=BE=ED=AD=7\ units$

step 2

Find the area of ACIG

The area of rectangle ACIG is equal to

$A=(AC)(AG)$

substitute the given values

$A=(9)(10)=90\ units^2$

step 3

Find the area of shaded rectangle DEHG

The area of rectangle DEHG is equal to

$A=(DE)(DG)$

we have

$DE=7\ units$

$DG=AG-AD=9-7=2\ units$

substitute

$A=(7)(2)=14\ units^2$

step 4

Find the area of shaded rectangle BCFE

The area of rectangle BCFE is equal to

$A=(EF)(CF)$

we have

$EF=AC-AB=10-7=3\ units$

$CF=BE=7\ units$

substitute

$A=(3)(7)=21\ units^2$

step 5

sum the shaded areas

$14+21=35\ units^2$

step 6

Divide the area of of the shaded region by the area of ACIG

$\frac{35}{90}$

Simplify

Divide by 5 both numerator and denominator

$\frac{7}{18}$

therefore

The fraction of the area of ACIG represented by the shaped region is 7/18

5 0

2 years ago

What is the invers function of f(x)=(n+1)^3?

zimovet [89]

Answer:

$f^{-1}(x)=\sqrt[3]{x}-1$

Step-by-step explanation:

$f(x)=(x+1)^3\\\\y=(x+1)^3\\\\x=(y+1)^3\\\\\sqrt[3]{x}=y+1\\\\y=\sqrt[3]{x}-1\\ \\f^{-1}(x)=\sqrt[3]{x}-1$

Graphing both inverses, they will be symmetrical about the line $y=x$ .

8 0

2 years ago

Value of this problem?

Rudik [331]

$\frac{4^3\times4^{-1}\times5^{-2}}{4^4\times5^{-3}\times5^0}=\frac{4^{3-1}\times5^{-2}}{4^4\times5^{-3+0}}\\=\frac{4^{2}\times5^{-2}}{4^4\times5^{-3}}=4^{2-4}\times5^{-2-(-3)}\\=4^{-2}\times5^{1}=\frac{5}{4^2}\\=\frac{5}{16}$

5 0

2 years ago

What is 1.3 repeating in fraction

Rudiy27

1 $\frac{3}{10}$

4 0

2 years ago

I have 4 times as much money as my brother has. our total is $55.how much does each of us have?

babymother [125]

Answer:

You have 44$, your brother has 11$.

Step-by-step explanation:

Let $x$ be the amount of money your brother has.

Since you have four times the amount of money your brother has, we can call the amount of money you have $4x$ .

$x+4x=55,\\5x=55,\\x=\boxed{\$11}$

Thus, you have:

$4(11)=\boxed{\$44}$

5 0

1 year ago

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