Melanie:
Amount after 5 years = 4000(1 + 0.04)⁵ = $4867
Gina:
Amount after 5 years = 4000 + 5(0.045 x 4000) = $4900
Answer: Gina has the greater balance and her balance is $4900.
Answer:
m = E/c²
Step-by-step explanation:
E = mc²
mc² = E
Divide both sides by c².
m = E/c²
<u>We are given:</u>
An even number 'n', multiplied by the next consecutive even number is 168
<u>Solving for n:</u>
From the given statement, we can say that:
n(n+2) = 168 [<em>n multiplied by the next even number 'n+2'</em>]
n² + 2n = 168
n² + 2n - 168 = 0 [<em>subtracting 168 from both sides</em>]
We can see that we now have a quadratic equation, solving using splitting the middle term
n² + 14n - 12n - 168 = 0
n(n + 14) -12(n + 14) = 0 <em>[factoring out common terms</em>]
(n-12)(n+14) = 0
Here, we can divide both sides by either (n-12) OR (n+14)
Checking the result in both the cases:
(n + 14) = 0/(n-12) (n-12) = 0/(n+14)
n + 14 = 0 n - 12 = 0
n = -14 n = 12
Both these values are even and since we are not told if the number 'n' is positive or negative, both 12 and -14 are the possible values of n
Hello,
The correct answer is B.
Further explanation: The first step is to multiply 3 by 7. That gives you 21, then add 21+2. Then put your denominator at the bottom.
Workspace:
3 * 7
=21
21 + 2
=23/7
