PEMDAS is an acronym that refers to the sequence of operations to be employed when solving equations with multiple operations. The solution of the given expression (2×2)² - [3+(2×2)]/(6-4) is 14.
<h3>What is PEMDAS?</h3>
PEMDAS is an acronym that refers to the sequence of operations to be employed when solving equations with multiple operations. PEMDAS is an acronym that stands for P-Parenthesis, E-Exponents, M-Multiplication, D-Division, A-Addition, and S-Subtraction.
As per the rule of PEMDAS, the given expression can be simplified as shown below.
(2×2)² - [3+(2×2)]/(6-4)
Step 1: Solving Parenthesis,
= 4² - (3+4) / (2)
= 4² - 4/2
Step 2: Solving exponents,
= 16 - 4/2
Step 3: Solving Divisions,
= 16 - 2
Step 4: Solving Subtraction,
= 14
Hence, the solution of the given expression (2×2)² - [3+(2×2)]/(6-4) is 14.
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Answer:
Discount = $290.76 × 0.2 = $58.15
Cost After Discount = $290.76 - $58.15 = $232.61
Sales Tax = 0.0625 × $232.61 = $14.56
How Much You Pay = $232.61 + $14.56 = $247.17
Step-by-step explanation:
Discount:
290.76 × 0.2* = 58.152
Round that to 58.15
* Turn 20% into a decimal (0.2)
Cost after Discount:
290.76 - 58.15 = 232.61
Sales Tax:
First turn 6.25 % into a decimal. Which would be 0.0625.
0.0625 × 232.61* = 14.556875
Then we round to the nearest hundredth and you get 14.56.
* We us the amount after the discount instead of the original price.
How much you pay:
232.61 + 14.56 = 247.17
Null hypothesis: 
Alternative hypothesis: 
The null is based on a recent study that 81% of the population (in this case senior citizens) takes at least one medication. The alternative hypothesis is basically the flip of the claim made in the null.
If Amelia wanted to know if the percentage was less than 81%, then the alternative would be p < 0.81
If Amelia wanted to know if the percentage was larger than 81%, then the alternative would be p > 0.81
However, she wants to know if the percentage is 81%.
Dimensions of rectangle = 12 + x and 14 + x
(12 + x) (14 + x) = 288
x^2 + 26x + 168 = 288
x^2 + 26x - 120 = 0
(x + 30) (x - 4) = 0
x=-30, x =4
since 4 is positive
the dimensions increased by 4 feet
check the answer
12+4 = 16
14 +4 = 18
18*16 =288