Answer:
B) 4,320
Step-by-step explanation:
You would first find the volume of the triangular prism using this formula:
V = 1/2 x A x C x H
A = 3 C = 6 H = 24
V = 1/2 x 3 x 6 x 24 = 216 cubic feet
Since there are 20 pounds of snow per cubic foot, you multiply the cubic feet (216) by the pounds of snow per cubic foot (20):
216 x 20 = 4,320 pounds
Answer:
Infinite Answers
Step-by-step explanation:
You subtract 3x from both side which leaves you with 3=3, which leaves you to conclude there are infinite answers to this equation.
Answer:
3. f(12) = -10; f(37) = -60
4. f(12) = -102; f(37) = -352
Step-by-step explanation:
3. Put the numbers in the formula and do the arithmetic:
f(12) = 12 -2(12-1) = 12 -22 = -10
f(37) = 12 -2(37-1) = 12 -72 = -60
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4. The explicit formula for an arithmetic sequence with first term a1 and common difference d is ...
an = a1 +d(n -1)
Your sequence has a first term a1=8 and a common difference d=-10.
As above, fill in the numbers and do the arithmetic.
f(12) = 8 -10(12 -1) = -102
f(37) = 8 -10(37-1) = -352
Answer:
The Value of Payments is P18,557.15
Step-by-step explanation:
The quarterly payment is an annuity payment.
Use the following formula to calculate the present value of the payments.
PV of Annuity = Annuity Payment x ( 1 - ( 1 + interest rate )^-Numbers of periods ) / Interest rates
Where
Annuity Payment = Quarterly payment = P1,300
Interest rate = 5.12% x 3/12 = 1.375%
Numbers of periods = 4 years x 12/3 = 16 quarters
PV of Annuity = Value of Payments = ?
Placing values in the formula
Value of Payments = P1,300 x ( 1 - ( 1 + 1.375% )^-16 ) / 1.375%
Value of Payments = P18,557.15
