Recall the compound interest formula
Where r = 0.04, n = 12 since compounded monthly, t = 30, and p, initial value, is 24000.
Plug them in, 79523.95 seems to be the solution.
Answer:
- Number of calories in burger = 620 calories
- Number of calories in hotdog = 400 calories
Step-by-step explanation:
Number of calories in burger = x
Number of calories in hotdog = y
y = x - 220
x + 2y = 1,420
Substitution:
x + 2 * (x - 220) = 1,420
x + 2x - 440 = 1,420
3x = 1,420 + 440
x = 1,860 / 3
x = 620 calories
y = x - 220
= 620 - 220
= 400 calories
Answer: 1. 63; 2. 84; 3. 104 4. 1:2
Step-by-step explanation: Since Zoey has $28, and the ratio is 4:5, we can multiply the ratio by 7 on both sides so that it is 28:35, giving $35 for andrew, and this $28+$35=$63. Since the ratio of red to white marbles has a sum of 10, but there are 120, we multiply the ratio by 120/10=12, to make the ratio applicable to the scenario, so 7 times 12 = 84 red marbles. Same way for the theater question, 195/15=13, so 8 times 13= 104, and so 104 people are boys. For the last question you can simply divide both sides by 5 (or think of it as a fraction, 5/10=1/2).
Answer:
9
Step-by-step explanation:
f(3) = 2(3) + 3
= 9
Let's start with triangle RST. This is a 30-60-90 triangle, which means it has the relationship x - x sqrt(3) - 2x.
If RS is 2 sqrt(3), then ST must be 2 and RT must be 4.
Triangle QRT is a 45-45-90 triangle, which means it has the relationship x - x - x sqrt(2).
If RT is 4, then RQ must also be 4.
Answer: x = 4
Hope this helps!
