Exercise 21
Let x represents a length in cm where x > 1.5.
AB = 2x - 3, BC = 4x – 6,
AD = 2x + 3 and BE = 4x +1
• ABC is right triangle of area Si.
. CBFG is a rectangle of area S2.
. ADEB is a right trapezoid of area S3.
1) Express S1 and S2 and S3 in terms of x
Plzzz I need help

Answer:

Study Harder

Step-by-step explanation:

Answer:

Bond Price​= $108,175.71

Step-by-step explanation:

Giving the following information:

Face value= $100,000

Coupon rate= 0.05/2= 0.025

YTM= 0.04/2= 0.02

Time period= 10*2= 20 semesters

To calculate the price of the bond, we need to use the following formula:

Bond Price​= cupon*{[1 - (1+i)^-n] / i} + [face value/(1+i)^n]

Bond Price​= 2,500*{[1 - (1.02^-20)] / 0.02} + [100,000/(1.02^20)]

Bond Price​=  40,878.58 + 67,297.13

Bond Price​= $108,175.71

In this exercise we have to use the knowledge of finance to calculate the stipulated value through the percentages, thus we find that:

Bond Price will be  [tex]\$108,175.71[/tex]

From the information given in the text we found that:

To calculate the price of the bond, we need to use the following formula:

[tex]Bond\ Price = cupon*{[1 - (1+i)^{-n}] / i} + [face \ value/(1+i)^n][/tex]

So with the formula already informed we will replace the values ​​given in the text find what we want.

[tex]Bond \ Price = 2,500*{[1 - (1.02^{-20})] / 0.02} + [100,000/(1.02^{20})]\\Bond Price= 40,878.58 + 67,297.13\\Bond Price= \$108,175.71[/tex]

See more about finances at: brainly.com/question/10024737

Answer:

Ë

Step-by-step explanation:

Im literally going to poop my pants that is SO scawwwy. I deserve compensation for this. My lawyers are coming after you

Answer:

i looked behind me and yes i did see a monster, my brother

Step-by-step explanation:

Answer:

The answer is 0 ✌

Step-by-step explanation:

70 - 8 =62°

Answer:

x = (40/4)-7.50

x= (10)-7.50

x = 2.50

Step-by-step explanation:

each boy had 2.50 left after the movie because miguel went with 3 other boys, which makes four of them all together. If they had forty dollars all together and all had the same amount of money, you can determine that amount by dividing forty(total money) by 4(number of boys). Which gets you to the answer of ten dollars each. Then you subtract the ticket cost(7.50) from 10 dollars, which gets you to 2.50 left over.

Answer:

Both the domain and range are the set of all real numbers. For the absolute value function f(x)=|x| f ( x ) = | x | , there is no restriction on x . ... For the cubic function f(x)=x3 f ( x ) = x 3 , the domain is all real numbers because the horizontal extent of the graph is the whole real number line. this is the best i can do if its not helpful i guess u can ask ur teacher.

Answer:

Step-by-step explanation:

y = - 3x

Answer:

$5.62

Step-by-step explanation:

Add all of the cost of the items and then deduct that answer from 50.

Answer:

$5.62

Step-by-step explanation:

50−(13.95+6.08+24.35)

=50−(20.03+24.35)

=50−44.38

=5.62

Answer:

no

Step-by-step explanation:

5 is a whole number 0.5 doesn't equal to 1 it is half of 1

Answer:

x=18 and y=72

Step-by-step explanation:

Answer:

d is right

Step-by-step explanation:

do eat popcorn in a tub

:)

poopy face

Answer:

Alot of adults smoke and very little adults don´t smoke at all

Step-by-step explanation:

14.0% of U.S. adults overall.

like to me 85% of adults smoke

Answer:

.52

Step-by-step explanation:

math ting

Answer: =2x^4−6x^3+10x^2−16x

Step-by-step explanation:

Answer: D

Step-by-step explanation:

Answer:

Step-by-step explanation:

First rewrite the first term as:

Now the sum is:

Answer:

Step-by-step explanation:

given: (2,1) & (5-8)

first find the slope,

m= (Y2-Y1) / (X2-X1)    

m=(-8-1)/(5-2)

m=(-9)/(3)

m=-3

we have y=-3x+b

use any point to sub in x and y

1=-3(2)+b

1+6=b

b=7               therefore, y=-3x+7 is the equation

Answer:

y = - 3x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (2, 1) and (x₂, y₂ ) = (5, - 8)

m = [tex]\frac{-8-1}{5-2}[/tex] = [tex]\frac{-9}{3}[/tex] = - 3 , then

y = - 3x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (2, 1 ), then

1 = - 6 + c ⇒ c = 1 + 6 = 7

y = - 3x + 7 ← equation of line

Answer:

60 cups

Step-by-step explanation:

Mrs. Jackson bought 4 gallons of juice for a party. Each gallon has 16 cups.

From the above question:

1 gallon of juice = 16 cups

Then:

4 gallons of juice = c

Cross Multiply

1 × c = 4 × 16 cups

c = 64 cups of juice

Hence, 4 gallons of juice = 64 cups of juice

We are told that :

After the party, 4 cups of juice were left over.

The cups of juice people drank at the party is calculated as:

Total cups of juice - Number of cups of juice left over.

64 cups of juice - 4 cups of juice

= 60 cups of juice

Answer:

I think its b:/ srry if I'm wrong

Answer:

7p

Step-by-step explanation:

Since it is 7 dollars per person, and p stands for person, the admission fee would be 7p.

Thank you, I hope you learned from this answer! If it did help, please mark this as brainliest! Thank you!

Answer:

[tex]m = -\frac{3}{2}[/tex]

Step-by-step explanation:

Given

x 2 4 6 8

y 1 -2 -5 -8

Required

Determine the slope

First, pick any two corresponding x and y values.

[tex](x_1,y_1) =(2,1)[/tex]

[tex](x_2,y_2) =(8,-8)\\[/tex]

The slope (m) is then calculated using:

[tex]m = \frac{y_1 - y_2}{x_1 - x_2}[/tex]

Substitute in, the x and y values

[tex]m = \frac{1 - (-8)}{2- 8}[/tex]

[tex]m = \frac{1 +8}{-6}[/tex]

[tex]m = \frac{9}{-6}[/tex]

[tex]m = -\frac{9}{6}[/tex]

Divide numerator and denominator by 3

[tex]m = -\frac{9/3}{6/3}[/tex]

[tex]m = -\frac{3}{2}[/tex]

Hence, the slope is -3/2

Answer:

Is -3/2.

Step-by-step explanation:

I just took the test!

Answer:

1/10

Step-by-step explanation:

A number line is a line which contains numbers marked at intervals (usually regular intervals). Points to the right of the origin are positive numbers while those to the left are negative numbers.

The school is used as the origin. Ellie house is 1 and three fifths blocks east (to the right) of the school. This means that it is + 1 and three fifths (+8/5).

Chase house is 1 and one half blocks (3/2) west of Ellie. Since it is west then it is to the left. Hence the coordinate of chase house = 8/5 - 3/2 = 1/10

Hence the coordinate of chase house is 1/10(one tenths).

The error may be as a result of thinking chase house is to the east of Ellie, hence adding to get  3 and one tenth.

Answer:-35

Step-by-step explanation: 7x5 = 35, but since the 5 is a negative it’s -35

Answer:

-35

Step-by-step explanation:

whenever multiplying positive and negative integers, if one of the factors are negative, then the answer will be negative. if both are negative, the answer becomes a positive, and if both are positive, the answers stays positive.

in this case 7 is positive and 5 is negative so  your anwers is -35

hope i helped!

:)

Answer:

To travel 20 Km, the hybrid car needs 0.3125 gallons of fuel.

Step-by-step explanation:

Proportions

The hybrid car can travel 40 miles per gallon.

Since one mile is equivalent to 1.6 Km, the distance traveled per gallon is 40*1.6 = 64 Km.

Now the distance is expressed in Km, we can find the gallons needed to travel 20 Km, by calculating 20/64 = 0.3125.

To travel 20 Km, the hybrid car needs 0.3125 gallons of fuel.

Answer:

Triangle RST is an equilateral triangle.

Step-by-step explanation:

All three sides of the triangle are of equal length, therefore, because an isosceles triangle is when 2 sides of the triangle are the same length, a scalene triangle being when all sides are of different lengths, and a right triangle having a right angle (a 90 degree angle), this only leaves equilateral, all three sides being the same length, like in the triangle shown.

Answer:

mince is the answer

Answer:

6(8x-2)

48x- 12 (this is the answer)

Step-by-step explanation:

to do those, you use the distributive property, which is taking the number outside the parenthesis and multiplying it by everything inside of it