Answer: (3,2)
Step-by-step explanation:
For this set of system of equations, let's use elimination method to find x and y. Let's eliminate y first. In order to do so, the y values have to be the same. Therefore, you multiply the top equation by 3 and the bottom equation by 4.
9x+12y=51
-16x-12y=-72
Now, we can add the 2 equations together for the y to cancel out.
-7x=-21
x=3
Since we know x, we can plug it into any of the equations to find y.
3(3)+4y=17
9+4y=17
4y=8
y=2
With out x and y value, we can put them into an ordered pair. (3,2)
Answer: $59313.58
Step-by-step explanation:
We know that formula we use to find the accumulated amount of the annuity ( ordinary annuity interest is compounded ) is given by :-
, where A is the annuity payment deposit, r is annual interest rate , t is time in years and n is number of periods.
Given : Annuity payment deposit :A= $4500
rate of interest :r= 6%=0.06
No. of periods : m= 1 [∵ its annual]
Time : t= 10 years
Now we get,

∴ the accumulated amount of the annuity= $59313.58
Answer: Lela's original score was 16.
Step-by-step explanation:
Alright lets get started.
Suppose Lela score was L.
Suppose Pepe score was P.
The ratio of Lela’s game score to Pepe's score is 
So the equation will be

Cross multiplying

.................equation 1
Then Lela completes a quest and scores 12 bonus points. The new ratio becomes

Cross multiplying

Plugging value of P from equation 1




Hence the score of Leela originally was 16. Answer
Attach a picture of the question please.
Answer:
138$
Step-by-step explanation:
120$. Increased by 15%.
Since 15% equals to 0.15, you multiply 0.15 by the price.
0.15*120=18.
Then you ADD the 15%.
120+18=138
The new price is now 138$