Yes, it is a function because each input has only one output.
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Answer: it will take 4 months for the amount to be the same and the amount would be $95
Step-by-step explanation:
Let x represent the number if months it will take for the two accounts have the same amount of money.
Christiana opened her account with $55 and plans to deposit $10 every month. This means that the amount that in the account after x months would be
10x + 55
Marlena opened her account with $35 and plans to deposit $15 every month. This means that the amount that in the account after x months would be
15x + 35
For the amount in the accounts to be the same, the number of months would be
15x + 35 = 10x + 55
15x - 10x = 55 - 35
5x = 20
x = 20/5
x = 4
The amount would be
15 × 4 + 35
= 60 + 35
= $95
Answer:
£1.80/kg
Step-by-step explanation:
The total spent on apples and pears is £12.70, and this is the sum of the costs of the apples and the pears respectively:
£12.70 = (unit cost of apples)(2 kg) + (unit cost of pears)(7 kg), or
£12.70 = (unit cost of apples)(2 kg) + (£1.30/kg)(7 kg).
Solving for (unit cost of apples)(2 kg), we get £12.70 - (£1.30/kg)(7 kg), or:
(unit cost of apples)(2 kg) = £12.70 - £9.1 = £3.60
Solving for (unit cost of apples), we divide both sides by (2 kg), obtaining:
£3.60
(unit cost of apples) = ---------- = £1.80/kg
2 kg
<u>Answer
</u>
After 12 years Emily's salary will be doubled
<u>Explanation
</u>
Here the salary increase can be considered as increase in the principle amount annually.
There are two methods to calculate the number of years.
1) 72 Rule
The rule state that, the number of years required to double the principle amount at given rate of interest, we just divide 72 by the interest rate.
In this problem Principle amount =$25,000 (in this rule no importance in principle amount)
Rate of interest, R = 6%
Number of years taken to double the amount = 72/6 =12 years
2)compound interest calculation method
P[1+R/100]^N = 2P
[1+ R/100 ]^N= 2
R is 6%, N is number of years
(1.06)^N =2
e^(ln(1.06^N)) = 2
e^N㏒(1.06)=2
N x ㏑(1.06) = ㏑(2)
N =㏑(2)/㏑(1.06) ≈11.8917 ≈ 12 years
Answer:
hi, have a great day
Step-by-step explanation:
Correct option is
B
f(x)=x
2
+6
f(g(x))=h=4x
2
+4x+7=(2x+1)
2
+6=(g(x))
2
+6
⇒f(x)=x
2
+6