Answer:
1. 16 teachers 2. 8 tutor 3. 6 teachers
Step-by-step explanation:
Steve will earn $160 interest after four years ⇒ 1st answer
Step-by-step explanation:
The formula of the simple interest is I = Prt, where
- P is the initial deposit
- r is the annual rate in decimal
- t is the time of investment
∵ Steve opens a bank account with a simple annual interest rate of 5%
∴ r = 5% = 5 ÷ 100 = 0.05
∵ His initial deposit is $800
∵ He will put the money for four years
∴ t = 4
- Substitute all these values in the formula above
∵ I = 800(0.05)(4)
∴ I = 160
Steve will earn $160 interest after four years
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The correct expression is (a) n = 100; (x + 10)^2
<h3>How to determine the value of n?</h3>
The expression is given as:
x^2 + 20x + n
Take the coefficient of x
k = 20
Divide by 2
k/2= 10
Square both sides
(k/2)^2 = 100
The above value represents the value of n
i.e.
n = 100
So, we have:
x^2 + 20x + 100
Expand
x^2 + 10x + 10x + 100
Factorize
x(x + 10) + 10(x + 10)
Factor out x + 10
(x + 10)^2
Hence, the correct expression is (a) n = 100; (x + 10)^2
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Answer:
It is the number of ways you can arrange the letters AAABBBCCCF, indicating that three players are on team A, three on team B, and three on team C, with one the field judge F.
Each different arrangement represents one of the ways you can form three teams of 3 with a field judge.
That number of arrangments, and therefore the number of ways to divide the players as required, is
Answer:
9r
Step-by-step explanation:
1.5r - 3r + 10.5r
10.5r + 1.5r = 12r
12r - 3r = 9r
Final Answer = 9r
