Answer:
The amount of water need to be added is 5 liters.
Step-by-step explanation:
Let's "x" be amount of water in (liters) added to 15 liters of 40% of sugar syrup.
Now find the amount of sugar syrup = 40% of 15
= 0.4 × 15
The amount of sugar syrup = 6 Liters
To dilute 30% we need to find amount of water to be added.
So,
30% of (15 + x) = 6
0.3 × (15 + x) = 6
4.5 + 0.3x = 6
0.3x = 6 - 4.5
0.3x = 1.5
Dividing both sides, by 0.3, we get
x = 5
So, the amount of water need to be added is 5 liters.
Over time, compound interest at any rate will outperform simple interest. When the rates are nearly equal to start with, compound interest will be greater in very short order. Here, it takes less than 1 year for compound interest to give a larger account balance.
In 30 years, the simple interest will be
... I = P·r·t = 12,000·0.07·30 = 25,200
In 30 years, the compound interest will be
... I = P·(e^(rt) -1) = 12,000·(e^(.068·30) -1) ≈ 80,287.31
_____
6.8% compounded continuously results in more total interest
Answer: 12.30 dollars will be spent
Step-by-step explanation: If you go on a trip of 150 miles and each mile is 25 miles per gallon, I divided 150 miles from 25 = 6. Then each gallon cost $2.05 dollars, if we want to know how much will they spend on gas you have to multiply how much per mile and how much it cost. So 2.05 times 6 = 12.30.
