The Present value of an annuity is given by PV = P(1 - (1 + r/t)^-nt)/(r/t)
where: P is the monthly payment, r is the annual rate = 7% = 0.07, t is the number of periods in one year = 12 and n is the number of years = 3.
18,000 - 6,098 = P(1 - (1 + 0.07/12)^-(3 x 12)) / (0.07/12)
11,902 = P(1 - (1 + 0.07/12)^-36) / (0.07/12)
P = 0.07(11,902) / 12(1 - (1 + 0.07/12)^-36) = 367.50
Therefore, monthly payment = $367.50
Difference between the lengths of walking stick and lengths of bumble bee is
inch.
Solution:
Given data represents the length of the insects.
Length of the walking stick = 4 in
Length of the bumble bee =
in
Difference between their length


To make the denominator same, multiply and divide the first term by 8.


Now, change improper fraction into mixed fraction, we get

Difference between the lengths of walking stick and lengths of bumble bee is
inch.
Step-by-step explanation:
(180-x)-40=X
140 -x=X
140= 2x
x=140/2
x=70
the answer is 70 degree
Answer:
see explanation
Step-by-step explanation:
c = a - 2b
= < 4, 5, 6 > - 2 < 1, 2, 3 > ← multiply each component by 2
= < 4, 5, 6 > - < 2, 4, 6 > ← subtract corresponding components
= < 4 - 2, 5 - 4, 6 - 6 > = < 2, 1, 0 >
| c | =
=
= 
-------------------------------------------------------------------------------------------------
sum the product of corresponding components
u.v = (3 × 2) + (- 2 × - 1) + (4 × - 6) = 6 + 2 - 24 = - 16