<u>Given</u>:
The given expression is 
Let us assume that 
We need to determine an expression that is equivalent to the expression
<u>Equivalent expression:</u>
The equivalent expression can be determined by solving the given expression.
Hence, applying the exponent rule, 
Thus, we get;
Subtracting the numbers, we get;
Thus, the equivalent expression is 
Hence, Option D is the correct answer.
Answer: Option 'd' is correct.
Step-by-step explanation:
Since we have given that
Volume of an excavation = 203 cubic feet
Weight of the material = 1200 pounds per cubic yard
So, the weight of the excavation would be
Volume of an excavation × Weight of the material
Hence, the weight of the excavation is 243,600 pounds.
Therefore, Option 'd' is correct.
Answer:
Similar, SSS similarity, ΔLRS
Step-by-step explanation:
First, compare the ratios of the shortest sides:
LN / LS = 112 / 24 = 4⅔
And the longest sides:
LM / LR = 168 / 36 = 4⅔
And the middle:
MN / RS = 154 / 33 = 4⅔
The triangles' sides are proportional. Therefore, by SSS similarity, the triangles are similar.
To get 4% of 800 you times 800 by 4 and divide it by 100. Once you have that amount you add it to 800 to find the amount you will have in your bank the first year.
To get the next year's amount you then get 4% of 832(because after the first year you have more than $800) and then add the 4% to 832, that is the answer for the second year.
To find the third year's amount you get 4% of the new amount (last year's total) and add it to last year's total, that is your total for the third year.
So the first year will be:
(800x4÷100)+800
=32+800
=832
The second year will be:
832+(832x4÷100)
=832+33.28
=865.28
The third year will be:
(865.28×4÷100)+865.28
=34.61(rounded off)+865.28
=899.89
