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We  have

6800 (1.025)^x

____________            where  x  is the  number  of years

         x

f (x)  =  (x + 1)^3  (x - 2)(x - 5)  =   x^5 - 4 x^4 - 8 x^3 + 10 x^2 + 23 x + 10

He    receives  44 cents  in  change

1 quarter    1 dime   1 nickel     4  cents    =     7  coins

Let T  be   the  total  amount  he earns....so....

T  - (1/9)T  -  (1/2)T  - (1/4)T   =   20              common denominator =  36

(36/36)T  - (4/36)T  -  (18/36)T - ( 9/36)T   = 20

(5/36)T  =  20

T  =  20 ( 36/5)   =   $144

Turns out that the largest angle is 66.468 (3 dp ) deg.

Call the angle OAC alpha say, and run that round the triangle, 

OAB = 60 - alpha, OBA = 180 - 115 - (60 - alpha), and so on.

Calling AO x, BO y and CO  z, then use the sin rule twice, in triangles AOB and AOC,

equate the two to derive an expression for tan (alpha) - I got alpha = 28.3296 deg.

From that, using the sin rule in the three triangles, calculate x, y an z.

I got (to 4 dp) x = 0.6063, y = 0.5793, z = 0.5236.

Then the cosine rule to calculate the largest angle.

We  can  use  the   tangent here

tan 70°  =  height of needle /  length of  shadow

tan 70°  =  h  / 67        rearrange  as

67 * tan 70°  =  h  ≈   184  m

Answer: 12 complete sets.

Solution:

1. Find each cost of a pencil, eraser, and bookmark.

Pencil = 0.5 ($20 / 40)

Eraser = 0.8 ($20 / 25)

Bookmark = 0.25 ($20 / 80)

2. Find cost of a complete set (x) by adding each costs.

x = 0.5 + 0.8 + 0.25

x = 1.55

So:

number of complete sets = 20 / 1.55

= 12.90

Since .90 is not whole, only 12 is considered.

Hope this helps!

1 quart =  2 pints  =  4 cups

1 pint = 2 cups

1/2 pint =  1  cup    .....so.....

First question

5 quarts  =  10 pints

10 * (3/4)  =  7.5 pint   contianers   will fill it  3/4  full  

Second question

7.5   pints   =    7  pints   +  1 cup 

Mass of 3 cups water = 600 g - 360 g = 240 g

Mass of 5 cups water = 240 g * 5 cups / 3 cups = 400 g

Mass bottle + 5 cups water = 600 g

Mass 5 cups water = 400 g

Mass of bottle = 200 g

2 cups  =  16 ounces

So  using a proportion

16 / 8   =  x  /  60          where  x  is the number of ounces we need to buy

cross-multiply

16 * 60   =  8 * x

960   = 8 x

960 / 8   = x  =   120    ounces

The  number of  bags  we  need   =    ceiling  [ 120/32 ]    = 4 bags

urvw! I'll explain how I've done it.

cost of 1 pencil = 20 / 40 = 0.50

cost of 1 eraser = 20 / 25 = 0.80

cost of 1 bookmark = 20 / 80 = 0.25

cost of 1 complete set = 0.5 + 0.80 + 0.25 = 1.55

20 / 1.55 ≈ 12.9  

urw!

thanks!!

correct!!

2 cups + bottle = 360

5 cups + bottle = 600

3 cups of water = 1/3(600 - 360)

1 cup of water = 80 grams

Weight of bottle = 360 - 160 = 200 grams

X - number of books Johnson has

Y - number of books Mandy has

X - 5 = Y + 5 X = Y + 10

3(Y-4) = X + 4 3Y - X = 16

Substitute X in the second equation by (Y+10):

3Y - Y - 10 = 16

2Y = 26

Y = 13 books Mandy has

13 + 10 = 23 books Johnson has

tysm!!

thanks!!

trust me, it's NOT my hw

OMG thanks!!!

my post??

well i can answer it.

#1:

#2:

#3:

https://web2.0calc.com/questions/word-problems_17

I have solved both of your two questions. But I couldn't solve the last one.

it was hard to solve. But I hope this helps

Britt can buy 12 complete sets and have $1.40 change in his pocket. 

w = weight of 1 cup

b = weight of empty bottle

2w + b = 360

5w + b = 600

Can you solve it from here?

Hint: start by subtracting the 2 equations. 

=^._.^=