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1 answer:
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Answer:
a) Add 4 to both sides, and then divide by 2. The solution is .
Step-by-step explanation:
Question:
Which of the following describes the correct process for solving the equation 2x − 4 = 20 and arrives at the correct solution?
a) Add 4 to both sides, and then divide by 2. The solution is x = 12.
b) Divide both sides by −4, and then subtract 2. The solution is x = −7.
c) Subtract 4 from both sides, and then divide by 2. The solution is x = −12.
d) Multiply both sides by −4, and then divide by 2. The solution is x = −40.
Solution:
Given equation:
We need to determine the steps in order to solve for .
Solving for .
Step 1: Adding 4 both sides.
Step 2: Dividing both sides by 2.
∴
Thus, we added 4 both sides and then divided both sides by 2 to get solution = 12
Answer:
15.5 ft²
Step-by-step explanation:
The area (A) of a regular polygon is calculated as
A = pa ( p is the perimeter and a the apothem )
Here side of regular pentagon is 3 ft, thus
perimeter = 5 × 3 = 15, so
A = 0.5 × 15 × 2.06 ≈ 15.5 ft ( to the nearest tenth )
compound interest equation for annually compounded
A=final amount
P=principal
r=rate in decimal
t=time in years
given that
A=1550
P=1000
r=5.5%=0.055
find t
divide both sides by 1000
take ln of both sides
use ln rule
divide both sides by ln(1.055)
using a calculator, we get that t=8.18544 yrs
so about 8.2yrs