Answer:
MOP=33
Step-by-step explanation:
MOP + MON = NOP
Substitute what we know
MOP = 3x-3
MON = 4x+9
NOP = 90 right angle
3x-3+4x+9 = 90
Combine like terms
7x+6 =90
Subtract 6 from each side
7x+6-6=90-6
7x = 84
Divide each side by 7
7x/7 = 84/7
x =12
We need to find MOP
MOP = 3x-3
=3(12)-3
36-3
33
Answer: the value of the account after 10 years is $2606
Step-by-step explanation:
The formula for continuously compounded interest is
A = P x e (r x t)
Where
A represents the future value of the investment after t years.
P represents the present value or initial amount invested
r represents the interest rate
t represents the time in years for which the investment was made.
e is the mathematical constant approximated as 2.7183.
From the information given,
P = 1800
r = 3.7% = 3.7/100 = 0.037
t = 10 years
Therefore,
A = 1800 x 2.7183^(0.037 x 10)
A = 1800 x 2.7183^(0.37)
A = $2606 to the nearest dollar
This solution might become quite complex.
Please try to keep up with me, and I'll go slowly:
You said (x + k) = (x + k - 1) (x + k)
Divide each side by (x+k): 1 = (x + k - 1)
Add 1 to each side: 2 = (x + k )
Subtract 'k' from each side: 2 - k = x
There are 13 spades. 1/13
________
Answer: x - 2.6 = 72.8
x is the number which Dan was thinking (x > 2.6)
we have:
x - 2.6 = 72.8
Step-by-step explanation:
