Answer:
The three digit natural number is 789.
Step-by-step explanation:
Let the fist digit be x
The second digit will be x + 1
The third digit will be x + 2
So x + x + 1 + x + 2 = 24
3x = 24 - 3
3x = 21
x = 7
The first digit is 7, the second digit is 8 and the third digit is 9
The three digit natural number is 789.
X^2-8x+16=1\\ \\x^2-8x+16-1=0\\ \\x^2-8x+15=0\\ \\\Delta = b^{2}-4ac = (-8)^{2}-4*1*15=64-60=4 \\ \\x_{1}=\frac{-b-\sqrt{\Delta }}{2a} =\frac{8- \sqrt{4}}{2}=\frac{8-2}{2}= \frac{6}{2}=3\\ \\x_{2}=\frac{-b+\sqrt{\Delta }}{2a} =\frac{8+ \sqrt{4}}{2}=\frac{8+2}{2}= \frac{10}{2}=5\\ \\Answer : x=3 \ \ or \ \ x = 5
Answer:
Option B
$65.4
Step-by-step explanation:
Imposing 6% tax on the full price would mean the final amount that should be paid will be equal to 106% of the full price, also expressed as 1.06 and this is equivalent to 1.06*90=$95.4.
However, since there's a coupon then the payment will be less the value of coupon. Therefore, final payable amount will be 95.4-30=$65.4
Answer:
Step-by-step explanation:
We would apply the formula for exponential growth which is expressed as
A = P(1 + r)^t
Where
A represents the population after t years.
t represents the number of years.
P represents the initial population.
r represents rate of growth.
From the information given,
P = 5655
r = 1.4% = 1.4/100 = 0.14,
a) Therefore, the equation that estimates the population t years after 2010 is
A = 5655(1 + 0.14)^t
A = 5655(1.14)^t
b) in 2022, the number of years t = 2022 - 2010 = 12
Therefore,
A = 5655(1.14)^12
A = 27245
