Two times the sum of four times a number plus six is the same as five less than twice the same number what is the number?
1 answer:
Answer:
Step-by-step explanation:
Let x be the number we want to find.
First we analyze the given informations
Info 1 : <u><em>Two times the sum of four times a number plus six</em></u>
We translate this statement (info 1) mathematically as : 2×(4x + 6)
Info 2 : <u><em>five less than twice the same number</em></u>
We translate this statement (info 2) mathematically as : 2x - 5
Info 1 <u><em>is the same as</em></u> Info 2 ⇔ 2×(4x + 6) = 2x - 5
2×(4x + 6) = 2x - 5
⇔ 8x + 12 = 2x - 5
⇔ 8x - 2x = -5 - 12
⇔ 6x = - 17
⇔ x = -17/6
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Answer:
The balance after the payment is $1263.84.
Step-by-step explanation:
The formula for amount after compound interest is
Where, P is principal, r is rate of interest, n is number of time interest compounded in a period, number of periods.
According to the given information,
P=1455.69
r=0.128
n=365
t=45
Put these values in the above formula,
The amount after compound interest is $1478.84. Add late fee chages $35 in this amount and subtract the payment of $250. So, the balance amount after payment is
Therefore the balance after the payment is $1263.84.