help me please. Very much appreciated​

Problem 5

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Explanation:

When we increase some value by 7%, we are effectively multiplying by 1.07

Note how 100% + 7% = 107% = 1.07

The 1.07 multiplier is then handy to use algebra to find the cost before tax is added

x = cost before tax

1.07x = cost after tax

1.07x = 524.30

x = 524.30/1.07

x = 490

Before tax, the water heater cost $490.

If we apply a 7% tax, then we pay 7% of 490 = 0.07*490 = 34.30 dollars on top of the $490 to get 490+34.30 = 524.30 which matches with the instructions. So our answer is verified.

Or you could use the 1.07 multiplier shortcut to see that 1.07*490 = 524.30

======================================================

Problem 6

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Explanation:

His gross pay is $1750. This is the amount he earned before any taxes are applied. The items of Medicare, Social Security, and Federal Withholding Income Tax, are all various taxes that Ian has to pay. So his gross pay will be reduced to some smaller value to get the net pay.

To find the total amount of taxes deducted from his paycheck, we add up the tax percentage values to get: 1.45+6.2+18 = 25.65

This means Ian is taxed at a total rate of 25.65% of his gross pay, and he has to pay 0.2565*1750 = 448.875 = 448.88 dollars to the government. This leaves 1750-448.88 = 1301.12 dollars left over for his net pay.

A slightly alternative way is to note how if Ian pays 25.65% of his gross pay, then he's left with 100% - 25.65% = 74.35% of his paycheck, and 0.7435*1750 = 1,301.125 which would round down to 1301.12

I'm rounding up when it comes to determining the amount of tax to pay, while rounding down any amount Ian has left over for his net pay. This ensures that we consider the worst-case scenario.

Answer:

Surface area of 5 sides = 51.2 cm²

Step-by-step explanation:

Given:

Side of cube = 3.2 cm

Find:

Surface area of 5 sides

Computation:

Surface area of 5 sides = Surface area of cube - Surface area 1 side

Surface area of 5 sides = 6a² - a²

Surface area of 5 sides = 6(3.2)² - (3.2)²

Surface area of 5 sides = 6(10.24) - 10.24

Surface area of 5 sides = 6a² - a²

Surface area of 5 sides = 61.44 - 10.24

Surface area of 5 sides = 51.2 cm²

The area of painted surfaces is 51.2 square centimeters.

To understand more, check below explanation.

From the given figure,

It is observed that side of block = 3.2cm

And block is cube.

Since, every surface of the block shown will be painted, except for one of the bases.

Area of painted portion is computed as;

                    [tex]Area=5*a^{2} \\\\Area=5*(3.2)^{2} \\\\Area=51.2cm^{2}[/tex]

Hence, the area of painted surfaces is 51.2 square centimeters.

Learn more about the surface area here:

https://brainly.com/question/16997207

Answer:

Step-by-step explanation:

Use the quadratic formula to find the solutions.

−

b

±

√

b

2

−

4

(

a

c

)

2

a

-

b

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(

a

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)

2

a

Substitute the values

a

=

2

a

=

2

,

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=

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6

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=

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, and

c

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5

c

=

5

into the quadratic formula and solve for

x

x

.

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±

(

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Simplify.

Tap for fewer steps...

Simplify the numerator.

Tap for fewer steps...

Raise

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to the power of

2

2

.

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36

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Multiply

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by

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Multiply

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8

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by

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x

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−

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from

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Rewrite

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as

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(

4

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(

4

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.

x

=

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Pull terms out from under the radical, assuming positive real numbers.

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4

6

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2

i

4

.

x

=

3

±

i

2

x

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3

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i

2

The final answer is the combination of both solutions.

x

=

3

2

+

i

2

,

3

2

−

i

2

x

=

3

2

+

i

2

,

3

2

-

i

2

Answer:

FV= $669.11

Step-by-step explanation:

Giving the following information:

Purchase price (PV)= $800

Decrease value (d)= 1.5% per year

Number of periods (n)= 12 years

To calculate the value of the card after 12 years, we need to use the following formula:

FV= PV / (1 + d)^n

FV= 800 / (1.015^12)

FV= $669.11

Answer:

3

Step-by-step explanation:

Answer:

answer is C

Step-by-step explanation:

cause I'm good like that

Answer:

what is the question, it is unclear

Answer:

The answer would be -16a⁴+8a³-1

The -4a² and 4a² cancel each other out so you put 1 in its place

Answer:

0.012 meters

Step-by-step explanation:

12/1000 = 0.012

Answer:

0.012

Step-by-step explanation:

divide length value (12 in this case) by 1000

Answer:

owo rawr pie jkjk

i never had pie but if i would try some i would go for cherry

Step-by-step explanation:

Answer:

I like nut pie

Step-by-step explanation:

it taste's good

Answer:

D for the first one, B for the second one, and C for the third one

Step-by-step explanation:

I better get brainly lol :p

Answer:

x = -9

Step-by-step explanation:

-3x + 8 =35

-3x = 27

x = -9

Answer:

x=-9. Success to the homework.

Answer: 41 more games.

Step-by-step explanation:

4030-2595 to find out how many points he needs to score.

1435

If he averages 35 per game lets divide 1435 by 35 to get the answer of 41.

Answer:

obtuse equilateral

Step-by-step explanation:

shapes are easy :)

Answer:

obtuse scalene      give crdit to the answer above

Answer:

iii only is correct answer

we know that a whole circle is found using π[tex]r^{2}[/tex].

So π[tex]10^{2}[/tex] = 314

so now we know that the whole circle is 314 squared units, we need to find the specific portion.

Oh wait, i learned this lol,

formula for area of sector

As (areas of sector) = π[tex]r^{2}[/tex]([tex]\frac{θ}{360}[/tex])

As (areas of sector) = π[tex]10^{2}[/tex]([tex]\frac{θ}{360}[/tex])

100 times 3.14

314 (43/360)

314(0.12)

As (areas of sector) = 37.68

I hope this finds you well, and have a great day.

Answer:

i would say its b

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Hope it helps you............

Answer:

640 times greater

Step-by-step explanation:

Given the following

area of the pacific ocean = 6.4x10^7 square miles

area of the gulf of mexico =  10^5 square miles

Taking the ratio of the distances

pacific ocean/gulf of mexico = 6.4x10^7/10^5

pacific ocean/gulf of mexico = 6.4 * 10^2

pacific ocean/gulf of mexico =640

pacific ocean = 640gulf of mexico

Hence the area of the pacific ocean us 640 times greater than the area of the gulf of mexico

Answer:

Hold on let me seee!!!!!!!

Answer:

3rd graph

Step-by-step explanation:

Edge 2021

Answer:

3rd graph

Step-by-step explanation:

Step-by-step explanation:

This problem is incorrect

the square root of 9 is two of the same numbers that are multiplied together to get 9 so [tex]\sqrt{9}[/tex]=3

9+1/2=9.5

Hope that helps :)

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{Your\ equation: \sqrt{9} = 9\dfrac{1}{2}}[/tex]

[tex]\mathsf{\sqrt{9} = 3^2 = 3\times \bf 3}\\\\\mathsf{\sqrt{9}= \bf 3}[/tex]

[tex]\mathsf{9\dfrac{1}{2}}\\\\\mathsf{9\times2+ 1}\\\\\mathsf{9\times2=\bf 18}\\\\\mathsf{\bold{18} + 1 = \bf 19}\\\\\mathsf{\dfrac{19}{2}=\bf 9.5}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: }\mathsf{\bf 3\neq 9.5}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

[tex]\frac{11}{6}[/tex] units

Step-by-step explanation:

To find the x- intercepts let y = 0 , that is

6x² - 7x - 3 = 0 ← in standard form

(3x + 1)(2x - 3) = 0 ← in factored form

Equate each factor to zero and solve for x

3x + 1 = 0 ⇒ 3x = - 1 ⇒ x = - [tex]\frac{1}{3}[/tex]

2x - 3 = 0 ⇒ 2x = 3 ⇒ x = [tex]\frac{3}{2}[/tex]

Find the difference of the 2 x- intercepts using absolute value

distance = | [tex]\frac{3}{2}[/tex] - (- [tex]\frac{1}{3}[/tex] ) | = | [tex]\frac{3}{2}[/tex] + [tex]\frac{1}{3}[/tex] | = | [tex]\frac{11}{6}[/tex] | = [tex]\frac{11}{6}[/tex]

Answer:

yes

Step-by-step explanation:

they both multiply by 20

Answer:

Step-by-step explanation:

they both multiply by 20

Answer:

12

Step-by-step explanation:

So, the 24cm, is the diameter, a little circle autonomy here, the diameter is the length across the circle, and the radius is to the mid point, or half-way point, which means that the radius is half the diameter, so, 24 ÷ 2 = 12

hope this helps:)

Answer:

12.16

Step-by-step explanation:

From your question, we have the following information

Mean = u = 20

Standard deviation sd = 4

P(X>Xo) = 0.975

1-0.975 = 0.025

P(z<Xo-20/4) = 0.025

Xo-20/4 = -1.96

We cross multiply

Xo - 20 = -1.96 x 4

Xo - 20 = -7.84

Xo = -7.84+30

Xo = 12.16

12.16 is the value of Xo and therefore the answer to this question.

Thank you!