.
What is the final amount if 1010 is decreased by 6% followed by a further 9% decrease?
Give your answer rounded to 2 DP.

Answer:

[tex]Area = 21.5ft^2[/tex]

Step-by-step explanation:

See attachment

Given

Square:

[tex]Length = 10ft[/tex]

Circle:

[tex]Diameter = 10ft[/tex]

[tex]\pi = 3.14[/tex]

Required: Calculate the area of the shaded region

First, calculate the area of the square:

[tex]A_1 = Length^2[/tex]

[tex]A_1 = (10ft)^2[/tex]

[tex]A_1 = 100ft^2[/tex]

Next, the area of the circle.

[tex]A_2 =\pi * \frac{d^2}{4}[/tex]

[tex]A_2 =3.14 * \frac{10^2}{4}[/tex]

[tex]A_2 =3.14 * \frac{100}{4}[/tex]

[tex]A_2 =3.14 * 25[/tex]

[tex]A_2 =78.5ft^2[/tex]

The shaded region has the following area

[tex]Area = A_1 - A_2[/tex]

i.e. the difference between the area of the square and  the area of the circle

[tex]Area = 100ft^2 - 78.5ft^2[/tex]

[tex]Area = 21.5ft^2[/tex]

The value of annual sales in 9 years is  $309,845.72.

In order to determine the annual sales of the company in 9 years, the formula to be used is:

FV = P (1 + r)^n

Where:

$155,000 x (1.08)^9 = $309,845.72

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Answer:

2+3=5

Step-by-step explanation:

100x + 300 = 500

100x = 500 - 300

100× = 200

100x/100 = 200/100

therefore ^x = 2

x + 3 = 5

2 + 3 = 5

The equation 100x+300=500 is equal to the equation x+3=5.

Given that,

The equation is 100x+300=500

We have to get the equation x+3=5 from the given equation.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. In any mathematical equation, we have LHS = RHS (left hand side equals right hand side).

We can solve in 2 methods.

1st method,

Taking the equation

100x+300=500

Divide the equation by 100

100x/100+300/100=500/100

We get

x+3=5

2nd method,

Taking the equation

100x+300=500

Taking 300 to right side

100x=500-300

Subtracting the 500 and 300

100x=200

Taking 100 to right side

x=200/100

Dividing the 200 by 100

x=2

Now,

x+3=5

Taking x to right side

x=5-3

Subtracting 5 and 3

x=2

Therefore, the equation 100x+300=500 is equal to the equation x+3=5.

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Answer:

the answer is 180/90 = 2

Step-by-step explanation:

Answer:

Weight of Train A = A = 237 tons

Weight of Train B = B = 96 tons

Step-by-step explanation:

Two trains train a and be weigh a total of 333 tons. Train A is heavier than train B.The difference of their weight is 141 tons… What is the weight of each train??

Let us represent:

Weight of Train A = A

Weight of Train B = B

Our system of Equations is given as:

A + B = 333 tons..... Equation 1

A - B = 141 tons....... Equation 2

We solve using Elimination method

We Add Equation 1 and 2 together to Eliminate B

Hence:

2A = 474 tons

A = 474 tons/2

A = 237 tons

Solving for B using Equation 1

A + B = 333 tons..... Equation 1

237 tons + B = 333 tons

B = 333 tons - 237 tons

B = 96 tons

Therefore:

Weight of Train A = A = 237 tons

Weight of Train B = B = 96 tons

9514 1404 393

Answer:

  1/3

Step-by-step explanation:

The coefficient of expansion can be found by computing the ratio of any (non-zero) image coordinate to its corresponding pre-image coordinate.

  Q'x/Qx = 1/3

The coefficient of dilation is 1/3.

here's the right answer!

A)  76 + 80 + 78 + x = 82 times 4

234 + x = 328

x = 94

B) Mei needs a score of at least 94 on the next exam.

hope you have a good day

Answer:z=47

Step-by-step explanation:

You're doing this because if you have z-31=16 you have to + 31 to 16 which would give you 47 then that would be a one step equation

z-31=16

you would make a line between the equal sign so it is organized then plus 31 to sixteen then that would get you to 47

Answer:

141 square incges

Step-by-step explanation:

Answer:

The answer is 141 sq inch.

Am smort :D

Answer:

Statement               | Reason

1. AB = CB               | Definition of isosceles triangle

2. AD = CD              | Definition of median

3. BD = BD               | Reflexive property

4. ΔADB ≅ ΔCDB    | SSS (Side-side-side)

Answer:

Solution given:

1.AB=BC. definition of isosceles ∆

2.AD=DC. definition of median

3.BD=BD reflexive

4.∆ADB=∆ CDB S.S.S.axiom

Answer:

x = 4

8(4) - 2 = 30

15(4) = 60

All triangles equal 180 degrees and there is already a right angle. 60 plus 0 is 90, and 90 plus 90 (or 90 times 2) is 180

60 + 30 = 90

90 + 90 = 180

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

-2(4 - 3x) + (5x - 2)=

-8+6x+5x-2=11x-10

when there is a number in front of () you multiple every number that is inside the ()

Answer:

50

Step-by-step explanation:

15 is 30% of 50

Answer: 6.32 (rounded)

Step-by-step explanation:

You need to use the pythagorean theorem. 2^2+6^2=c^2.

4+36=40

square root of 40 is 6.324 when rounded

Answer:

No thanks I don't feel like it

Step-by-step explanation:

I don't feel like it

Answer:

329

Step-by-step explanation:

thanks for points have a blessed day

Step-by-step explanation:

329 :) i kinda don't know how to explain

Answer:

4 8/6

Step-by-step explanation:

5 = 30/6

1 = 6/6

5 - 1 = 4

4 6/6 + 2/6

4 8/6

Mark Brainliest please

Answer:

A) 99 cents

B) 3 dollars

Step-by-step explanation:

15*0.066=$0.99

15*0.2=$3

(I didn't use post-tax total because most people tip on the pre-tax subtotal, since that is the service charge and they're tipping the service, not the tax).

Answer:

p < 24

Step-by-step explanation:

Given: -9 + p < 15

Add 9 to both sides.

p < 24

Answer:

5ft

Step-by-step explanation:

15÷3=5

Answer:

true

Step-by-step explanation:

Answer:

it' b

Step-by-step explanation:

450 multiply by 5 = 2250

375 multiply by 4 = 1,500