Answer:
x=75
Step-by-step explanation:
Okay. So you deposit $150 in January and 10% more as each month passes by, which if you count, that would be 7 months. When it comes to compound interest, the formula for it is P(1 + r)^t. That means r = interest rate, P = principal, and t = time. In this case, we add 1 to 10% in decimal for. 10% is 0.1 in decimal form. 1 + 0.1 is 1.1. Now, compound 1.1 to the 7th power, because you repeat this 7 times. 1.1^7 is 1.9487171. Don't delete the decimal from your calculator. Now, multiply that decimal by 150 to get the new amount. When you do, you get 292.307565 or 292.31 when rounded to the nearest hundredth. You deposit $292.31 in August.
Answer:
43200 yd³
Step-by-step explanation:
The water reservoir is a rectangular solid that is a three dimensional shape with six quadrilateral faces (cuboid).
This reservoir has a base of 60 yards by 30 yards, and a vertical height of 30 yards. Therefore:
Volume of the reservoir = area of base * vertical height = 60 * 30 * 30 = 54000 yd³
This reservoir hence have a volume of 54000 yd³ when filled up with water.
After 3 months, the height of the water was down to 6 yards therefore the the volume is:
Volume after 3 months = area of base * vertical height = 60 * 30 * 6 = 10800 yd³
The amount of water used after 3 months = volume of water at beginning - volume of water after 3 months
The amount of water used after 3 months = 54000 - 10800 = 43200 yd³
Answer:
-9
-6
-4
-3
0
Step-by-step explanation:
hope this helps!