Options :
a.) P=1.005Po
b.) P=1.02Po
c.) P=Po(0.02/4)
d.) P=Po(4.02/4)
e.) P=Po(1+ 0.02/4)
Answer:
a.) P=1.005Po
d.) e.) P=Po(1+ 0.02/4)
Step-by-step explanation:
From the compound interest formula:
P = P0(1 + r/n)^t
Rate = 2% = 2/100 = 0.02
n = Number of compounding times per period, quarterly ; n = (12 /3) months
P = P0(1 + 0.02/4)^1
P = p0(1 + 0.02/4)
Simplifying further :
P = P0(1 + 0.005)
P = p0(1.005)
Answer:
Earl should order 76 yellow paper reams and 24 white paper reams.
Step-by-step explanation:
This problem can be computed as system of equations.
I will say that x is the number of yellow paper reams and that y is the number of white paper reams.
Earl will order 100 reams in total, so
x + y = 100
He has a budget of $484, so this is what he is going to spend. Each yellow paper ream(x) costs $4.00 and each white paper ream costs $7.50, so we know that
4x + 7.5y = 484
To know how many reams of each color should he order, we need to solve the following system of equations
1) x + y = 100
2) 4x + 7.5y = 484
I am going to write x as a function of y in equation 1), and then replace it in equation 2).
x = 100-y
Now replacing in equation 2)
4(100-y) + 7.5y = 484
400 - 4y + 7.5y = 484
3.5y = 84
y = 24.
Returning to equation 1)
x = 100-y = 100-24 = 76
So, Earl should order 76 yellow paper reams and 24 white paper reams.
Answer:
Then it would be the other way around 19 ≥ k + 6
Wait for more responses if needed.
For line l parallel to line m, the interior angles on the same side of the transversal should add upto 180° or in better words, they must be supplementary.
So, we can write that,
(2x + 6)° and 130° are supplementary.
⇛ 2x° + 6° + 130° = 180°
⇛ 2x° + 136° = 180°
⇛ 2x° = 44°
⇛ x° = 22°
The value of x for which line l is parallel to line m,
And we are done !!
#CarryOnLearning....
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