The number of months that it will take the latest model's battery life to reach 1,008.9 minutes is; 8 months
<h3>How to solve geometric progression?</h3>
Each month, there is an increase by a factor of 0.06 of the previous months model.
From geometric sequence formula of aₙ = ar^(n - 1),
where;
a is first term
r is common ratio
aₙ is nth term
we have;
1,008.9 = 671 * 1.06^(n - 1)
1008.9/671 = 1.06^(n - 1)
In 1.504 = (n - 1) In 1.06
0.408 = (n - 1) * 0.058
n - 1 = 0.408/0.058
n = 7.03 + 1
n ≈ 8 months
Read more about geometric sequence at; brainly.com/question/24643676
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Answer:
720,682.92
Step-by-step explanation:
8.5% = 0.085
P(t) = Initial Population * (1 + rate)t
P(t) = 230,000(1 + 0.085)t
P(t) = 230,000(1.085)t
P(14) = 230,000(1.085)14
P(14) = 720,682.82
Answer:
33% is the correct answer I took the test!
Step-by-step explanation:
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Answer:
The unique solution to the system is (x,y){(-9,-3)}
Step-by-step explanation:
x - y = -6 equation 1
5x + 6y = -63 equation 2
We will find the value of x from equation 1.
x= y-6
Now put the value of x in equation 2.
5(y-6)+6y = -63
5y-30+6y = -63
Combine the like terms:
5y+6y= -63+30
11y = -33
Divide both sides by 11.
11y/11 = -33/11
y = -3
Now put the value y = -3 in x=y-6
x = y-6
x= -3-6
x= -9
Therefore The unique solution to the system is (x,y){(-9,-3)} ....
