Use the quadratic formula to find both solutions to the quadratic equation given below. 3x^2-x+4=0
1 answer:
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Answer:
-7
Step-by-step explanation:
Lets assume the number Peggy is thinking of be "x".
Now as given, when twice the number is added to three times one more than the number. We can write it as
∴ --- Equation 1
Again, it is given that Peggy gets the same result as when she multiplies four times one less than the number.
∴ -- equation 2
Next, we can equate both the equation 1 and 2 as it is given that result is same.
Let´s distribute 3 into and 4 into
⇒
⇒
Subtract both side by 4x and 3
∴
∴ Peggy was thinking of -7
Answer:
$1,701.64
Step-by-step explanation:
(see attached for reference)
recall that for compound interest, the following formula applies:
A = P [1 + (r/n) ] ^ (nt), where
A = final amount (we are asked to find this)
P = Principal amount = $1,200
r = interest rate = 5% = 0.05
t = 7 years
n = 12
Substituting these into the equation,
A = 1200 [1 + (0.05/12) ] ^ [(12)(7)]
A = $1,701.64
