Answer:30 centimeters
Step-by-step explanation:
The bigger square with an area of 144 cm squared has a perimeter of 100 with each side equal to 25. You find this by seeing that 25 times 25 equals the area of the square. Same thing with the smaller square 5 times 5 equals 25. Now that we have the perimeter for the sides that are connected to the square (25) and (5), multiply those together just as you would with finding the area of a square. (25)(5)=60. Since this is a triangle you divide your answer in half which is 30.
Answer:
The exponential growth model for the population of the Tallahassee metropolitan area is 
.
Step-by-step explanation:
The exponential formula is
Where b is initial population, r is growth rate, (1+r) is growth factor and t is time (in years) after the initial year.
The population of the Tallahassee metropolitan area was 382,627 at the end of 2017. The growth rate is 2.78%.
Here the initial year is 2017 and rate is 0.0278
Graph of the equation is shown below. The x-axis represents the number of years after 2017 and y-axis represents the total population.
Difference between 2025 and 2017 is 8 years. Put t=8
Therefore the projected population in 2025 is 476479.
The answer should be 5.24 x 10^-1
Answer: $609.88
Explanation:
Since Mary has two accidents in one year, we will use the note in the problem to compute for the new annual premium.
Using the note in the problem, we have the following steps:
- Subtract $32 from the original premium:
Result = $417.25 - $32 = $<span>385.25
- Then, get 150% of the resulting number in the previous step. First, convert 150% to decimal. So, 150% = 1.5
Result = </span>150% of $385.25 = 1.5 × $385.25 = $<span>577.875
- Finally to get the new premium, we add $32 to the resulting number in the previous step:
New Premium = </span>$577.875 + $32 = $<span>609.875
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Since there is no half cents that exists today, we round-off the new premium to the nearest cent. Hence, the new premium is $</span><span>609.88.</span><span>
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