Answer:
they unite through the origin at (0,0)
Answer: (4, 8)
Step-by-step explanation:
When you translate something to the left you need to subtract the amount you moved left from the original x input
1. Subtract 3 from the coordinates x input
4 - 3 = 1
When you translate something up you need to add the amount you moved up to the original y output
2. Add 5 to the coordinates y output
-3 + 5 = 2
When done translating to the left and up your coordinate is now (1, 2)
When dialating something you need to multiply the scale factor in which you dialated the coordinate to both the x input and y output
3. Multiply 4 to the x input and y output of your newley translated coordinate
1 × 4 = 4 (x input)
2 × 4 = 8 (y output)
So now your final coordinate for C' is (4, 8)!
Hope this helps :)
The angular quantum number

can be any integer (whole number) between 0 and one less than the principal quantum number

.

cannot be -3, -2, or -1. The other solutions depending on what the principal quantum number is.
Formula for compound interest is stated as follows:
A = P(1+r)^n; where A = Amount in the bank after compounding, P = Principal amount deposited in the account, r = annual interest rate as a decimal, n = number of years to accumulate amount A in the account.
Using the values given;
9090 = P(1+0.058)^5
P = 9090/[(1+0.058)^5] = 9090/1.3256 = 6857.02
Therefore, the amount put in the account must be $6,857.02