Answer:
The result to your inquiry is 2 7/24.
Step-by-step explanation:
Data:
Hank's cows yield = 4 3/4 and 4 1/8
Debra's cows yield = 5 1/2 and 5 2/3
Process:
1.- Convert the mixed numbers into improper fractions:
For Hank: (16 + 3)/4 = 19/4 and (32 + 1)/8 = 33/8.
For Debra: (10 + 1)/2 = 11/2 and (15 + 2)/3 = 17/3.
2.- Add Hank's and Debra's milk quantities:
Hank: 19/4 + 33/8 = 38/8 + 33/8 = 71/8.
Debra: 11/2 + 17/3 = 33/6 + 34/6 = 67/6.
3.- Subtract Hank's total from Debra's total:
67/6 - 71/8 = (268 - 213)/24.
Thus, it simplifies to 55/24.
- Convert back to a mixed number:
2
24 55
7
Where 55/24 equals 2 7/24.
4.- Conclusion:
Debra produced 2 7/24 more milk than Hank.
40 tens converts to how many hundreds? The calculation is 40 multiplied by 10, resulting in 400.
To derive the function that characterizes the bee population:
1) Initially, there are 9,000 bees in the first year.
2) In the second year, a reduction of 5% occurs => 9,000 - 0.05 * 9,000 = 9,000 * (1 - 0.05) = 9,000 * 0.95
3) Each subsequent year sees a 5% decline => 9,000 * (0.95)^(number of years)
4) Let x represent years and f(x) signify the bee count, then: f(x) = 9,000 (0.95)^x.
Evaluation of the claims:
<span>1) The function f(x) = 9,000(1.05)x applies to the scenario.
FALSE: WE ESTABLISHED IT AS f(x) = 9,000 (0.95)^x
2) The function f(x) = 9,000(0.95)x applies to the scenario.
TRUE: THIS IS THE RESULT OF OUR PRIOR ANALYSIS.
3) After 2 years, the farmer projects approximately 8,120 bees will be left.
Calculating:
f(2) = 9,000 * (0.95)^2 = 9,000 * 0.9025 = 8,122
Thus, this statement is TRUE
4) After 4 years, the farmer can predict there will be roughly 1,800 bees left.
f(4) = 9,000 * (0.95)^4 = 9,000 * 0.81450625 = 7,330
This statement is therefore FALSE
5) The domain values contextual to this situation are restricted to whole numbers.
FALSE: DOMAIN VALUES INCLUDE ALL NON-NEGATIVE REAL NUMBERS. FOR INSTANCE, THE FUNCTION IS VALID AT X = 5.5
6) The range values pertinent to this situation are restricted to whole numbers.
TRUE: FRACTIONS OF BEES CANNOT EXIST.
</span>
Answer:
1. Calculate the sum of "a", "b" and "c".
2. The perimeter equation is: 
Step-by-step explanation:
In this case, P denotes the triangle's perimeter while a, b, and c are the triangle's sides.
The definition states that the sum results from an addition operation. Thus, the statement "The perimeter P of a triangle equals the total of sides a, b, and c" means that the perimeter is determined by aggregating the lengths of the triangle's sides.
Consequently, you can express this in the following equation:
Response:
$144,843.5
Detailed explanation:
In this scenario, we will utilize the compound interest formula
A= P(1+r)^t
A = final amount
P = initial principal
r = interest rate
t = number of periods
Given parameters
P= $27,000
R= 7.25%= 7.25/100= 0.0725
T= 24
A=27000(1+0.0725)^24
A= 27000(1.0725)^24
A= 27000*5.364
A= $144,843.5
By the end of 24 years, her account balance will reach $144,843.5
