Answer:
a. Present value of a lump sum =
PV = FV / ( 1 + i )ⁿ
b. Present value of an annuity =
P = PMT x ((1 – (1 / (1 + r)⁻ⁿ )) / r)
Step-by-step explanation:
a. Present Value of a Lump sum =
PV = FV / ( 1 + i )ⁿ
Where variables in the formula are explained as follows
PV = Present Value of the given amount today
FV = Future Value of the given amount
i = Discount rate
n = Number of periods
b. Present value of an annuity is given as:
P = PMT x ((1 – (1 / (1 + r)⁻ⁿ)) / r)
The variables in the equation are explained as the follows:
P = the present value of annuity
PMT = Payment per period or the amount in each annuity payment
r = the interest or discount rate
n = total number of periods or the number of payments left to receive
So there are 6 different grade levels with 3 classes in each. So 6*3 = 18 classes total.
<span>If there are approximately 27 children in each class, than 27*18 = ? your answer.</span>
Answer:
b. 3t ≥ 36
Step-by-step explanation:
She gets $3 per three-pointer. The variable <em>t</em> stands for three-pointer. So in mathematical terms, it would be 3<em>t</em>.
She wants a minimum of 36 dollars, therefore the sign would be ≥. This means 3<em>t </em>has to be greater than or equal to 36.
So, 3<em>t</em> ≥ 36
Answer:
19.0681
Step-by-step explanation:
Given in the question that,
angle from ted to the dog = 60° with the ground
height of ted from the ground = 16ft
To find,
distance between dog and the door of ted's building
Considering the scenario make a right angle triangle:
<h3>By using pythagorus theorem:</h3>
Tan 40 = opposite / adjacent
Tan 40 = height / distance between dog and the door
Tan 40 = 16ft / x
x = 16 / tan40
x = 19.068057
x ≈ 19.0681 (nearest to thousand)
So, the dog need to walk 19.0681ft to reach the open door directly below Ted.
18 x
--- = ----
5 100
18×100 = 5×x
1800 = 5x
------- ----
5 5
360 = x
Hope this helps!!!