The length of a rectangle is 5 feet more than twice the width. The perimeter is 130 feet. Find the dimensions.

Answers

Answer 1

Answer: So,

The problem tells us that the length of the rectangle is 5 feet more than twice the width.
Mathematically:
length = 5 + 2width
l = 5 + 2w

We know that the perimeter is 2l + 2w.
2l + 2w = 130

2(5 + 2w) + 2w = 130

Distribute
10 + 4w + 2w = 130

Collect Like Terms
10 + 6w = 130

Subtract 10 from both sides
6w = 120

Divide both sides by 6
w = 20

The width is 20.

Since
l = 5 + 2w

Substitute
l = 5 + 2(20)

Multiply
l = 5 + 40

Collect Like Terms
l = 45

The length is 45.

Check
2l + 2w = 130

2(45) + 2(20) = 130

90 + 40 = 130

130 = 130

Width: 20 ft.
Length: 45 ft.

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Mary deposits R400 every three months into a bank account earning interest at 16% per year, compounded quarterly. The approximate time that it will take Mary to save R40000 is

Answers

Answer:

The approximate time that it will take Mary to save R40000 is 29 years

Step-by-step explanation:

A= p(1+r/n)^nt

t = log(A/P) / n[log(1 + r/n)]

A = R40000

n = 4

P = R400

r = 16%

t = log(A/P) / n[log(1 + r/n)]

= log(40,000 / 400) / 4{log(1+0.16/4)}

= log(100) / 4{log(1+0.04)}

= 2 / 4{log(1.04)}

= 2 / 4(0.0170)

= 2 / 0.068

= 29.41

t = 29.41 years

Approximately 29 years

The approximate time that it will take Mary to save R40000 is 29 years

A printer can print 1 page in color in about 12 seconds. How many pages could you print in 4 minutes? Use the table of equivalent ratios to help you solve. 4 minutes = 240 seconds pages time (seconds) 1 12 6 72 3 36 10 120 9 108 240 Group of answer choices

Answers

Answer: 20 pages

Step-by-step explanation:

since 4 minutes is 240 seconds, and it takes 12 seconds for each page to print, all we have to do is divide:

240/12 = 20 (check: 20 x 12 = 240)

hope this helps :)

How to factor: a^2+11a+18

Answers

$a^2+11a+18\n\n-----------------------------\n\n11=9+2\n18=9\cdot2\n\n-----------------------------\n\na^2+11a+18=(a+9)(a+2)$

$a^2+11a+18=a^2+2a+9a+18=a(a+2)+9(a+2)=\n\n=(a+2)(a+9)$

Find the domain and range.
y=-|x|+1