What happens to a sample of matter when its particles lose kinetic energy?
1 answer:
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Answer:
a. 113.1 cm^3.
b. 339.29 cm^3.
c. 18 cm.
d. 508.94 cm^3.
e. 169.65 cm^3.
Step-by-step explanation:
a. (4/3) * pi * (3^3) = (4/3) * pi * 27 = 36 * pi = 113.0973355, which is about 113.1 .
b. 113.0973355 * 3 = 339.2920066, which is about 339.29 cm^3.
c. Since the radius of a tennis ball is 3 cm, the diameter is 6 cm. There are three tennis balls, and the diameters added up become the height of the cylinder. 6 + 6 + 6 = 18 cm.
d. pi * (3^2) * 18 = pi * 9 * 18 = pi * 162 = 508.9380099, which is about 508.94 cm^3.
e. 508.9380099 - 339.2920066 = 169.6460033, which is about 169.65 cm^3.
Hope this helps!!
Loan amount, P = 225000
interest = 5.5%/12 per month
Monthly payment, A = 1000
At the end of 30 years,
Future value of loan (with zero repayment)
F1=225000*(1+.055/12)^(30*12)
=1167162.264
Future value of repayment, A=1000 per month
F2=
=
=913611.893
Therefore balloon payment
= F1-F2
=1167162.264-913611.893
=253550.37 (to the nearest cent)
interest = 5.5%/12 per month
Monthly payment, A = 1000
At the end of 30 years,
Future value of loan (with zero repayment)
F1=225000*(1+.055/12)^(30*12)
=1167162.264
Future value of repayment, A=1000 per month
F2=
=
=913611.893
Therefore balloon payment
= F1-F2
=1167162.264-913611.893
=253550.37 (to the nearest cent)