Answer:
The change in the area of the rectangle is 0 square feet
Step-by-step explanation:
To solve this problem we have to calculate the area of the two rectangles that give us
first we have to know the formula to calculate the area of a rectangle
a = area
l = length = 12ft
w = width = 5ft
a = l * w
we replace the known walues
a = 12ft * 5ft
a = 60ft²
we do the same with the other rectangle, but first we have to calculate its sides
w = 5ft - (5ft * 20/100)
w = 5ft - 1ft
w = 4ft
l = 12ft + (12ft * 25/100)
l = 12ft + 3ft
l = 15ft
a2 = 15ft * 4ft
a2 = 60ft²
to calculate the change in the area we subtract (a - a2)
a - a2 =
60ft² - 60ft² = 0ft²
-3x-4<19
19+4=23
3x<23
÷3 ÷3
×= > 23/3 or 7.6^87
1. The formula for annual compound interest, including principal sum, is:
A = P (1 + r/n)ⁿˣ
Where:
A = the future value = ?
P = the principal investment amount = $2000
r = interest rate = 4%
n = the number of times that interest is compounded per year = 4
x = the number of years = 5
Calculations:
A = 2000 (1 + 0.04/4)²⁰
A = 2000 (1 + 0.01)²⁰
A = 2000 (1.01)²⁰
A = 2000 ₓ 1.22
A = $2440.38
2. The formula for annual compound interest, including principal sum, is:
A = P (1 + r/n)ⁿˣ
Where:
A = the future value = ?
P = the principal investment amount = $50
r = interest rate = 48%
n = the number of times that interest is compounded per year = 12
x = the number of years = 2
Calculations:
A = 50 (1 + 0.48/12)²⁴
A = 50 (1 + 0.04)²⁴
A = 50 (1.04)²⁴
A = 50 ₓ 2.56
A = $128.16
3. The formula for annual compound interest, including principal sum, is:
A = P (1 + r/n)ⁿˣ
Where:
A = the future value = ?
P = the principal investment amount = $50
r = interest rate = 4%
n = the number of times that interest is compounded per year = 12
x = the number of years = 3
Calculations:
A = 50 (1 + 0.04/12)³⁶
A = 50 (1 + 0.003)³⁶
A = 50 (1.003)³⁶
A = 50 ₓ 1.12
A = $56.36
The answer is 1,2,3,6,7,14,21,42
Answer:
m= -16
Step-by-step explanation:
m/4+3= -1
-3 -3
m/4= -4
*4 *4
m= -16
