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Kipish [7]
3 years ago
14

You put $5,000 in a simple interest account at a bank. You will earn $1,200 in just 4 years. What is the annual interest rate fo

r the account?
Mathematics
1 answer:
Sav [38]3 years ago
4 0
<span>1200 = 5000*4r
1200/20000 = r = .06 0r 6%</span>
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a line passes through the points (–6, 4) and (–2, 2). which is the equation of the line? y = -1/2x + 1, y = 1/2x + 7,y = –2x – 8
viva [34]

Answer:

-1/2x+1 is the equation.

Step-by-step explanation:

4 0
3 years ago
uppose we want to build a rectangular storage container with open top whose volume is $$ cubic meters. Assume that the cost of m
Ainat [17]

Answer:

a = length of the base = 2.172 m

b = width of the base = 1.357 m

c = height = 4.072 m

Step-by-step explanation:

Suppose we want to build a rectangular storage container with open top whose volume is 12 cubic meters. Assume that the cost of materials for the base is 12 dollars per square meter, and the cost of materials for the sides is 8 dollars per square meter. The height of the box is three times the width of the base. What’s the least amount of money we can spend to build such a container?

lets call a = length of the base

b = width of the base

c = height

V = a.b.c = 12

Area without the top:

Area = ab + 2bc + 2ac

Cost  = 12ab + 8.2bc + 8.2ac

Cost = 12ab + 16bc + 16ac

height = 3.width

c = 3b

Cost = 12ab + 16b.3b + 16a.3b = 12ab + 48b² + 48ab = 48b² + 60ab

abc = 12 → ab.3b = 12 → 3ab² = 12 → ab² = 4 → a = 4/b²

Cost = 48b² + 60ab = 48b² + 60b.4/b² = 48b² + 240/b

C(b) = 48b² + 240/b

C'(b) = 96b - 240/b²

Minimum cost: C'(b) = 0

96b - 240/b² = 0

(96b³ - 240)/b² = 0

96b³ - 240 = 0

96b³ = 240

b³ = 240/96

b³ = 2.5

b = 1.357m

c = 3b = 3*1.357 = 4.072m

a = 4/b² = 2.172m

6 0
3 years ago
The function f(x)=x^2 is graphed on the coordinate grid.
Aleksandr [31]
<h3>Answer:</h3>
  • graphed below.
<h3>Explanation:</h3>
  • vertex: (0, 0)

other points:

<u>x    y</u>

-2  12

-1   3

0   0

1    3

2   12

7 0
2 years ago
Read 2 more answers
How to do 30(c) ??????
adelina 88 [10]

Answer:

A kite with a 100 foot-long string is caught in a tree. When the full length of the string is stretched in a straight line to the ground, it touches the ground a distance of 30 feet from the bottom of the tree. Find the measure of the angle between the kite string and the ground.

17°

27°

63°

73°

Step-by-step explanation:

3 0
3 years ago
suppose you have three consecutive integers. The greatest of the three integers is twice as great as the sum of the first two. W
zvonat [6]

Answer:

0,1,2

Step-by-step explanation:

(x+2) = 2((x+1)+(x)

x+2 = 2x+2+2x

x+2 = 4x+2

-x       -x

2     = 3x + 2

-2            -2

0/3   = 3x/3

0 = x

6 0
2 years ago
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