A) Volume = (1/12)pi*h^3, with height = 5cm.
<span>b) You should be able to differentiate V = (1/12)pi*h^3 with respect to h, and you were given dh/dt = -0.3 cm/hr.
</span>
does that make sense?
Answer:
0.14 s
Step-by-step explanation:
s = -2.7 t² + 40t + 6.5
Let s = 12
12 = -2.7t² + 40t + 6.5 Subtract 12 from each side
-2.7t² + 40t + 6.5 - 12 = 0
-2.7t² + 40t - 5.5 = 0
Apply the <em>quadratic formula
</em>
a = -2.7; b = 40; c = -5.5
x = 7.41 ± 7.27
x₁ = 0.14; x₂ = 14.68
The graph below shows the roots at x₁ = 0.134 and x₂ = 14.68.
The Moon’s surface is at -12 ft. The ball will be 12 ft above the Moon’s surface (crossing the x-axis) in 0.14 s.
The second root gives the time the ball will be 12 ft above the Moon’s surface on its way back down.
Tom:
Previous balance: 2,452.64
payment: 160
new transaction: 138
APR: 15.6%
We need to divide APR by 12 to get the monthly rate: 15.6% / 12 = 1.3%
2,452.64 - 160 = 2,292.64
2,292.64 * 1.3% = 29.80 interest for the month. We did not include 138 because it still is within the 1 month period and it is not subject to interest. Only the revolving amount of 2,292.64 has interest.
2,292.64 + 29.80 + 138 = 2,460.44 NEW BALANCE OF TOM
Marco:
Unpaid credit card balance: 4,332.75
APR: 18.6%
New transaction: 432
Divide APR by 12 to get the monthly rate: 18.6% / 12 = 1.55%
4,332.75 * 1.55% = 67.16
4,332.75 + 67.16 + 432 = 4,831.91 NEW BALANCE OF MARCO
To solve this problem, we must first convert all of the numbers represented by words into their numeral equivalents so we can simplify. To do this, we must remember that the ones place is the first to the left of the decimal point, and the tens place is one place farther to the left. If we have 4 tens and 3 ones, this is the same as 43 (we put the digit 4 in the tens place and the digit 3 in the ones place). If we replace our words with our new numerical value, we get:
43 * 10
To solve this, we just multiply these two numbers together, which gives us:
430
Therefore, your answer is 430.
Hope this helps!
Y = 40x +15 because it charges 15$ as it's initial service fee and it charges an additional $40 a month so you multiply 40 times the number of months and add 15 to get the total after x amount of months
