This may be a simple interest computation.
Simple Interest = Principal * interest rate * term
Principal = 1,000
interest rate = 3%
term = 2 years
Simple Interest = 1,000 * 0.03 * 2
Simple Interest = 60
Total Amount after 2 years: 1,000 + 60 = 1,060
Answer:
60 ; 5220
Step-by-step explanation:
A) From the horizontal bar chart provided, it could be inferred that 85 people spell the word 'weird' correctly. The graph is scaled on a fixed interval of 10. Hence, the midpoint of 10 = 5
(80 + 5) = 85
B) In a group consisting of 8719 randomly selected people estimate how many more people can correctly spell weird than inoculate
From the graph :
85 per 100 could spell weird correctly while,
About 25 per 100 could spell inoculate correctly.
Difference In number per 100 people
(85 - 25) = 60 people per 100
We could round 8719 to the nearest 100 = 8700
Number of 100's in 8700 = 8700/100 = 87
(87 × 60) = 5,220 people
Answer:
p = -2 ±sqrt( 5)
Step-by-step explanation:
p^2 + 4p = 1
Take the coefficient of p
4
Divide by 2
4/2 =2
Square it
2^2 = 4
Add it to each side
p^2 + 4p+4 = 1+4
(p+2) ^2 = 5
Take the square root of each side
sqrt((p+2) ^2) =±sqrt( 5)
p+2 = ±sqrt( 5)
Subtract 2 from each side
p+2-2 = -2 ±sqrt( 5)
p = -2 ±sqrt( 5)
Step-by-step explanation:
40 days = 15 boys
1 day = 15/40 = 3/8
therefore,
30 days = 3/8 × 30
= 11.1/4 boys or 11.25boys
Answer: Choice B. k(h(g(f(x))))
For choice B, the functions are k, h, g, f going from left to right.
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Explanation:
We have 4x involved, so we'll need f(x)
This 4x term is inside a cubic, so we'll need g(x) as well.
So far we have
g(x) = x^3
g( f(x) ) = ( f(x) )^3
g( f(x) ) = ( 4x )^3
Then note how we are dividing that result by 2. That's the same as applying the h(x) function
And finally, we subtract 1 from this, but that's the same as using k(x)
This leads to the answer choice B.
To be honest, this notation is a mess considering how many function compositions are going on. It's very easy to get lost. I recommend carefully stepping through the problem and building it up in the way I've done above, or in a similar fashion. The idea is to start from the inside and work your way out. Keep in mind that PEMDAS plays a role.
