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 math club has 22 students, and the art club has 34 students.
Step-by-step explanation:
Given that there are a total of 56 students between the art club and the math club, and that the art club has 12 more students than the math club, to determine how many students there are in each club, the following calculation must be performed:
X + X + 12 = 56
2X + 12 = 56
2X = 56 - 12
X = 44/2
X = 22
Thus, the math club has 22 students, and the art club has 34 students.
13+3k=11
-Move constant to the right-hand side and change its sign
3k=11-13
Calculate the difference
3k=-2
Divide both sides by 3
K= -2/3
Answer:
A. the times at which the golf ball is on the ground
Step-by-step explanation:
The expression of the function is
h(x)= -4x^2+36x
The roots can be seen in the image below
You have a formula which represents the height over time.
The roots of the equation indicate that the height is equal to zero
The correct option is
A. the times at which the golf ball is on the ground
The ball is in the ground at x= 0 and x = 9 seconds
Answer:
third answer choice
Step-by-step explanation:
√ 98 square root is 7√2, a irrational number.
add 5
5+7√ 2, irrational
