Response:
m(n) = 60000
Amount = 60000/n
Step-by-step breakdown:
Provided
Budget = 60000
Solving part (a) as a function mn
To achieve this, simply substitute m(n) for the budget amount.
This results in;
m(n) = 60000
Solving part (b) for the amount each committee is allocated.
Given that the budget will be evenly split.
Amount = m(n)/n
Replace m(n) with 60000
Amount = 60000/n
To find the average daily change in temperature, total the four daily changes and divide the sum by 4:
(3.24, -0.375, -0.15, 0.778) / 4 results in about 0.87 degrees per day.
Response:
Detailed explanation:
The timing data for each lap will form an arithmetic progression (AP) with a first term of 25 s and a common difference of 1.6 s.
a )
first term a = 25
common difference d = 1.6.
The 10th term of the sequence can be found using the formula
a₁₀ = 25 + (10-1) x 1.6
= 25 + 1.6 x 9
= 39.4 s
b )
Let n be the final lap
a(n) = a + (n-1) x d
55.4 = 25 + (n-1) x 1.6
n - 1 = 19
n = 20.
c )
The total for all terms in the AP
=(first term + last term) x number of terms / 2
= (25 + 55.4) x 20 / 2
= 804 s.
= 804 / 60 min
= 13.4 min.
Investment in stocks = 46,000
Let "x" represent the sum invested in bonds
The stock investment can also be expressed as = 3x - 8,000
Equating the two investment amounts (Given their relation to stock investments), yields
3x-8000 = 46000
3x = 54000
x =54000/3
x =18000
Laurie's investment in bonds amounts to $18,000
Answer:
Step-by-step explanation:
This scenario involves SETS.
First, compile the relevant data:
1. The total who said F = 55
2. The total who said P = 51
3. The total who said O = 61
4. Only F = 9
5. F ∩ P ∩ O = 26 [NOTE: This value would reside at the innermost section if a Venn Diagram were drawn as it represents all three groups]
6. F ∩ P = 31
7. Only P = 8
8. Total students claiming none of the three reasons = 4
QUESTIONS
1. How many individuals indicated O and P? This means finding the intersection of O and P, denoting O ∩ P
2. How many stated either F or O? [This answer should be determined using a Venn diagram] Find F ∪ P, which signifies "F union P"
3. How many asserted F without claiming P? [This answer can also be derived from the Venn diagram]
4. What is the total number of surveyed students? [HINT: Ensure you incorporate the four individuals who had none of the three options]
