Answer:
Step-by-step explanation:
If the roots are 7 and 3, then x = 7 and x = 3 are solutions. In factor form, x = 7 is (x - 7); in factor form, x = 3 is (x - 3). We FOIL these together to get
which simplifies to
and we distribute in the 4:
to get
which is another way to write the last choice you're given.
Answer:
The function has an initial population size of 60,000 which increase at a rate of 1%
Step-by-step explanation:
Given the expression :
f(x) = 60,000(1.01)^x
Since 1.01 > 1 (exponential
The general form of an Exponential growth function.
y = p(1 + r)^x
p = 60000 = initial population
1 + r = 1.01 ; where r = growth rate
r = 1.01 - 1 ; r = 0.01 =
r = 0.01 * 100% = 1% growth rate
Invested amount (P0 = £6000.
Rate of interest (r) = 3.4% = 0.034.
We know compound interest formula
A = P(1+r)^t
We need work out the value of his investment per year.
So, we need to plug t=1 and plugging values of P and r in the formula above, we get
A = 6000(1+0.034)^1
A = 6000(1.034)
A = 6204.
<h3>Therefore, the value of his investment per year is £ 6204.</h3>
Now, we need to work out the value of his investment after 3 years.
So, we need to plug t=3.
A = 6000(1+0.034)^3
A = 6000(1.034)^3
1.034^3=1.105507304
A = 6000 × 1.105507304
A = 6633.04
<h3>Therefore, the value of his investment after 3 year is £ 6633.04.</h3>
Probability that you will get exactly 4 tails, if you flip a fair coin 7 times is: 
Step-by-step explanation:
We need to find the probability that you will get exactly 4 tails, if you flip a fair coin 7 times.
This is the combination question.
The total combinations will be: 2^7=128
Now, finding number of ways we can get exactly 4 tiles:
We will use the formula:
in our given question, n= 7, k= 4
Putting values:
So, Probability that you will get exactly 4 tails, if you flip a fair coin 7 times is:
Keywords: Probability
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