Let the price of the goldfish be x
Let the price of the rainbow fish be y
Anna bought 8 fish, therefore, Anna paid 8x for the gold fish
Anna bought 2 rainbow fish, therefore, Anna paid 2y for the rainbow fish
We know that the total amount that Anna paid is 37$.
Therefore:
8x + 2y = 37 ..................> equation I
Now, we know that the rainbow fish cost 6$ more than the goldfish (since the verb "cost" is plural, therefore the total payment of rainbow fish is 6$ more than the total payment of gold fish).
Based on this,
2y + 6 = 8x
2y = 8x - 6 ...................> equation II
Substitute by equation II in equation I, we can get the following equation:
8x + 8x - 6 = 37
16x = 43 ................> The desired equation (equation III)
Solving equation III, we can calculate the price of one gold fish as follows:
16x = 43
x = 2.6875$
If we substitute by the value of x in equation I, we can calculate the price of one rainbow fish as follows:
8(2.6875) + 2y = 37
y = 7.75$
Answer:
Step-by-step explanation:
Remark
We really should have 1 more term in the sequence. There could be a lot of things that determine what the sequence is. I'm going to say that each term is multiplied by 3
Givens
a1 = 1
r = 3
Formula
tn = a1 * 3^(n-1)
t100 = 1 * 3^(100 - 1)
t_100 = 3^99
t_100 = 1.72 * 10^47
This really is a scientific calculator problem. If you don't own such a thing, but you have windows 10 on your computer, go to the calculator. Go to the scientific calculator and put in these key strokes.
3
x^y
99
=
This is what you get
1.7179250691067044367882037658854e+47
Naturally, I rounded it a bit.
