First, let x or any variable represent the number of paintings Kate initially has. After selling 12 of it, her paintings now becomes only x - 12. Then, she purchased 7 more making the number of her paintings become x - 12 + 7 = x - 5. This number tantamount to 21.
x - 5 = 21 ; x = 26
Thus, Kate initially had 26 paintings.
Since we're doing compound interest for four years it will be simpler than daily.
In case you didn't know the formula, here it is: A = P (1 +r/n)^(nt)
now lets substitute.
A = 500 (1 + 0.03)^4
A = 500 (1.03)^4
A = 500 (1.12550881)
A = 562.754405
Since that decimal is too big for cash, let's round it. Notice that the number after 5 is lower than 5. Thus the first two numbers stay the same and the final answer will be..
A = 562.75
Hope this helps :3
Answer:
16 apples.
Step-by-step explanation:


Price of apples, Px=$4
Price of tomatoes, Py=$3
Ratio of their Marginal Utilities



Since Natalie’s income is $320
320 = xPx+yPy

Since x=16, Natalie will consume 16 apples.
Answer:
x°+2x°+(x-24)°=180°
Step-by-step explanation:
The sum of of the interior angles of all triangles add up to 180°
Adding x°, 2x°, and (x-24)° <em>will</em> equal 180
Therefore, an equation that can be used to solve for the missing angles is: x°+2x°+(x-24)°=180°