<h3>Given Equation:</h3>
6 - 2n = -4n - 2 - 8
<h3>To Find:</h3>
The value of n.
<h3>Solution:</h3>
6 - 2n = -4n - 2 - 8
or, -2n + 4n = -2 - 8 - 6
or, 2n = -16
or, n = -16/2
or, n = -8
<h2>Answer:</h2>
The value of n is -8.
Very complicated problem, but thank goodness I have too much time and am a nerd.
Basically model 1st account as so.
Fv=pv(1+I)^N
Fv future value
Pv present value
I interest
N number years
So first equation is interest earned after 3 years
Y=5000(1+0.023)^3
Y=5353 (rounded up)
So we know that the interest earned is 5353-5000 which is 353.
Now Ronisha (clearly the name of a future investment genius) invests these 353$ in a new account.
Now remember we’re not solving for FV we’re cause we’re given that: 55.2$
However this is the interest earned not the future value. So if interest earned is fv - pv and we know pv
Fv - 353 = 55.2
Fv = 408.2$
So now we reuse the formula
408.2 = 353(1+0.032)^x
Now just solve for x:
First divide both sides by 353
1.156 = 1.032^x
Remember the log rule that states x=b^y is same as y=logb(x)
So using the same logic:
X= log1.032(1.156)
Use some kind of calculator for that where you can adjust log base. But you basically get:
X= 4.602
So Ronisha has to basically invest 5 years or 4.6 years which is 4 years and 7 months.
Omg nevermind, wait it’s simple interest….
Sorry here’s the simple solution. My bad, but I worked so hard on the top part I don’t want to delete it.
I=prt
Interest = principal * rate * time
I= 5000(0.023)(3)=345
Then just do the same but plug 55.2 for I
55.2 = 345(0.032)t
Now solve for t
55.2 = 11.04t
t= 5
As you can see, similar logic where ultimately it takes 5 years. But this “genius” Ronisha should’ve just done compounding interest (my first calculation) and gotten it done in 4.6 years. Almost 5 months faster.
Answer:
The sum of two numbers is 84:
u + y = 84
The difference of the two numbers is 32:
u - y = 32
Answer:
Step-by-step explanation:
Lets call the calories in one cup 'x'
so (3/4)x=90
Solving for x:
x=(90)/(3/4)
x=120
Now for 4 cups:
(4)(120)=?
480 calories in 4 cups of cereal
