Answer:
938
Step-by-step explanation:
Given that :
Amount spent by fair on thrill. Ride = $3000
Cost per token of thrill ride = $4
For the fair to make a profit of atleast $750
Then it must realize : (cost of thrill ride + $750) = ($3000 + $750) = $3750
Therefore ;
Cost per token * number of rise tokens ≥ $3750
Let number of ride tokens = x
4x ≥ 3750
4x/4 ≥ 3750/4
x ≥ 937.5
Hence, number of tokens that must be sold = 938
We have been given that Figure LMNO maps to L’M’N’O’ by a 125° rotation about point T. We are asked to choose correct congruency statement about our figures.
Since we know that rotations are isometric and they preserve angle measures.
We can see that after rotating figure LMNO about point T, angle L will correspond to angle L' and angle M, N and O will correspond to angles M', N' and O' respectively.
Therefore, figure LMNO will be congruent to L'M'N'O' and first option is the correct choice.
Very complicated problem, but thank goodness I have too much time and am a nerd.
Basically model 1st account as so.
Fv=pv(1+I)^N
Fv future value
Pv present value
I interest
N number years
So first equation is interest earned after 3 years
Y=5000(1+0.023)^3
Y=5353 (rounded up)
So we know that the interest earned is 5353-5000 which is 353.
Now Ronisha (clearly the name of a future investment genius) invests these 353$ 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:
178.85
Step-by-step explanation:
X=-6 because yes and yes...NANI?!
