Find the area of each trapezoid.​

Answer:

$20.49

Step-by-step explanation:

8% = 8/100 = 0.08

Therefore, 8% of 18.97 = 0.08 x 18.97 = 1.5176

So the total price = 18.97 + 1.5176 = 20.4878 = $20.49

Alternatively,

108% = 108/100 = 1.08

18.97 x 1.08 = 20.4878

Answer:

Answer:0.98

Step-by-step explanation:got it right on khan

Answer:

Step-by-step explanation:

[tex]LHS=cosec(x)-cosec(x)cos^{2} (x)\\\\LHS=cosec(x)-cosec(x)(1-sin^{2} (x))\\\\LHS=cosec(x)-cosec(x)+cosec(x)*sin^{2} (x)\\\\LHS=cosec(x)-cosec(x)+cosec(x)\frac{1}{cosec^{2}(x) } \\\\LHS=cosec(x)-cosec(x)+\frac{1}{cosec(x) }\\\\LHS=\frac{cosec^{2}(x)-cosec^{2}(x)+1 }{cosec(x)} \\\\LHS=\frac{1}{cosec(x)} \\\\LHS=sin(x)=RHS[/tex]

Hence,LHS=RHS proved

Answer:

The slope of the line is -3

Step-by-step explanation:

I chose the points (-2,3) and (0,-3)

The slope formula: m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\frac{-3-3}{0-(-2)}[/tex] ==> [tex]\frac{-3-3}{0+2}[/tex] ==> [tex]\frac{-6}{2}[/tex] = [tex]-3[/tex]

Our final answer is -3.

Hope that helps!

Answer: 16 2/8

21 13/16+5 3/32=?

13/16 3/32 32 divided by 16 = 2 so you need to simplified 32/16 and 3/32= 16 so both 13/16 + 32/16= 48/16 then you need to simplified again to make it even and it will be 3 so you add the three with the wholes it will make 16 so know we simplified and divide the fraction 48/16  so once you divide it equals 8 because 8x2=16 and 8x6=48 so it will be 2/8 so the answer is 16 and 2/8

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Answer:

(4,3)

Step-by-step explanation:

Answer:

16.97056

Step-by-step explanation:

Answer:

5 more bottles

Step-by-step explanation:

23 x 25 will give us how many ounces Coach Reynolds have already.

23 x 25 is 575

700 - 575 will give us how many ounces he needs to buy.

700 - 575 is 125

125 divided by 25 will give us how many bottles he needs to buy
125 divided by 25 is 5

So 5 more bottles

Hope this helps! :)

Step-by-step explanation:

See picture above for solution.

The interest is compounded in the investment and the fees, the 4 years

school fees is however larger than the future value of the investment.

Response:

First part:

The future value, FV, of the investment after 18 years is given as follows;

Where;

PV = The present value = $10,000

i = The interest rate = 8% = 0.08

n = The number of years = 18

Which gives;

[tex]FV = 10,000 \times (1 + 0.08)^{18} \approx \mathbf{39,960.195}[/tex]

The future value of the investment, FV = $39,960.195

The school fees each year is given as follows;

Fees = First year fees·(1 + r)ⁿ

Where;

First year fees = $12,000

r = Increase rate of the school fees = 11% = 0.11

n = The number of years

The school fees for four years is given as follows;

∑Fees = $12,000 + $12,000·(1 + 0.11) + $12,000·(1.011)² + $12,000·(1.011)³

Which gives;

∑Fees = 12,000 + 12,000·(1 + 0.11) + 12,000·(1 + 0.11)² +12,000·(1 + 0.11)³ = 56,516.772

The total tuition fees for four years = $56,516.772

The future value of the investment after 18 years, $39,960.195 is less

than the amount required as school fees for four years, therefore;

Second part:

The fees for 3 years of school is given as follows;

[tex]\displaystyle \sum \limits_{n = 1 }^3[/tex] = 12,000 + 12,000·(1 + 0.11) + 12,000·(1 + 0.11)² = 40,105.2 > 39,960.195

The fees for 2 years of school is given as follows;

[tex]\displaystyle \sum \limits_{n = 1 }^2[/tex] = 12,000 + 12,000·(1 + 0.11) = 25,320 < 39,960.195

The number of years of college the value of the investment will take care of is therefore;

Learn more about future value here:

https://brainly.com/question/14545379

Answer:

0.58cm

Step-by-step explanation:

l×b×h=volume

Given:

Voume=28cm^3

l=8cm

width or breadth=6cm

h=?

applying the above formula

l×b×h=28cm^3

6×8×h=28cm^3

h=28/48=0.58cm

Answer:

Answer:

Approximately 319.15

Step-by-step explanation:

300 ÷ (1 - 6%) = 319.14893617021

Answer:

6 r1

Step-by-step explanation:

Answer:

  32%

Step-by-step explanation:

The percentage profit is the ratio of profit to original cost, expressed as a percentage. The profit is the difference between the selling price and the cost.

  profit = selling price - cost

  profit = $6600 -5000 = $1600

The ratio of that to cost is ...

  $1600/$5000 = 0.32

As a percentage, that is ...

  0.32 × 100% = 32%

The car dealer's profit was 32% of his cost.

Answer:

x = -4

Step-by-step explanation:

Divide both sides of the equation by the same term

24=-6x

Divide the numbers

Cancel terms that are in both the numerator and denominator

Move the variable to the left

HOPE IT HELPS, BE SAFE :3

Answer:

1 + (-3) + 2 = 0

Step-by-step explanation:

Answer:

y + 1 = 4(x + 4)

Step-by-step explanation:

When you write an equation in point-slope form, you only need two things: a point and a slope.

Given:

The standard point-slope equation is

Plug in what you know.

Simplify.

This is your equation.

Hope this helps!

Learn with another example:

https://brainly.com/question/24436844

The linear equation in point-slope form is y + 1= 4(x + 4)

A linear equation is calculated using the following equation:

y - y1= m(x - x1)

From the question, we have:

Slope (m) = 4

(x1,y1) = (-4,-1)

So, the equation becomes

y + 1= 4(x + 4)

Hence, the linear equation in point-slope form is y + 1= 4(x + 4)

Read more about linear equations at:

https://brainly.com/question/15602982

Answer:

3.

Step-by-step explanation:

The answer is 51 R4, meaning that 54 bags HAVE been filled and 4 apples are the remainder. Therefore, there are 4 apples that have not been bagged and Natalie would need another bag to bag all the apples.

Answer:

245pi(769.7)

Step-by-step explanation:

V=Bh

B=7pi^2=49pi

V=49pi*5

V=769.6902001

V=~ 769.7

in terms of pi=245pi

Answer:

878

Step-by-step explanation:

Answer:

956= 9/56

125= 1/25

Step-by-step explanation:

Answer: x = 21/4

First, you want to Add 5 to both sides of the equation:

4x - 5 + 5 = 16 + 5.

Then you want to simplify:

4x = 21.

Divide both sides of the equation by the same term:

4x/4 = 21/4.

Then you want to simplify:

x = 21/4.

The final solution is:

x = 21/4

Exact Form:

x = 21/4

Decimal Form:

x = 5.25

Mixed Number Form:

x = 5 1/4

Step-by-step explanation:

Hope this helps =)

The linear equality that shows this relationship is x + y ≥ 10 and 4x + 2y ≤ 30

An equation is an expression used to show the relationship between two or more variables and numbers.

Let x represent the number of cake pop and y represent the number of cookie. Hence:

x + y ≥ 10   (1)

Also:

4x + 2y ≤ 30   (2)

The linear equality that shows this relationship is x + y ≥ 10 and 4x + 2y ≤ 30

Find out more on equation at: https://brainly.com/question/13763238

Answer:

7

Step-by-step explanation:

We can see that x is equal to 7 and that is we use the exponent of 2 it equals 49 if we divide this by 2 we get 24. 5 and add this by the left over 3.5 gives us 28 and divide this by 2 and we get 14. After this you always need to remember to divide your answer by 2 which gives us 7.

Answer:

690.8

Step-by-step explanation:

I've done this one before

Answer:

690.8 sq units

Step-by-step explanation:

Surface Area(cyl) = 2πrh+2πr²

SA = 2(3.14)(5)(17) + 2(3.14)5²

SA = 6.28(85) + 25(6.28)

= 533.8 + 157

= 690.8