M is dependent and h is independent
m=money and h=hours, p =money per hour
m=ph
Answer 1
By definition of the coulomb law we have that the force between two charges is given by
F12 = K (q1 * q2) / (r ^ 2)
where
K = 9 * 10 ^ 9 [N.m ^ 2 / C ^ 2] (constant)
q1 = load 1 [C]
q2 = load 2 [C]
r = distance between charges [m]
Substituting the values we have
F12 = (9000000000) * ((- 2.10E-06) * (6.70E-06) / ((0.067) ^ 2))
F12 = -28.2N
answer 2
In this case the value of r will be given by
ROOT ((0.067) ^ 2 + (0.028) ^ 2) = 0.0726 m
Then, the net force will be given by
F12 = (9000000000) * ((- 2.10E-06) * (6.70E-06) / ((0.0726) ^ 2))
F12 = -24.01
The horizontal component of this force is
F12x = F12 (x / r) = - 24.01 (0.067 / 0.072)
F12x = -22.2N
The answer is -22.2N
answer 3
For this case we have by sum of forces that
F2N = F12 + F32
where
F2N = 8,005 N
F12 = -24.01 N
Clearing F32
F32 = F2N + F12 = (8.005) - (- 24.01) = 32.01N
Then, by definition
F32 = K (q2 * q3) / (r ^ 2)
clearing q3
q3 = (F32 (r ^ 2)) / (K * q2)
substituting
q3 = ((32.01) ((0.0726 / 2) ^ 2)) / ((9000000000) * (6.70E-06))
q3 = 1.4E-06 C
the answer is 1.4E-06 C (+)
Use PEMDAS
P-parenthesis
E- exponents
M- multiply
D- division
A- Add
S- subtract
Answer:
Which loan option will have Lilith pay the most amount in interest
loan with a 5.75% annual simple interest rate 24-month loan with a 6.25% interest rate
Interest 3,750
Final payment 33,750
Step-by-step explanation:
1.-Interes rate compouned
Loan 30,000
% 5.75%
Time( Years) 2.50
Interest 4,500
Final payment 34,500
2.-Simple interest
Loan 30,000
% 5.75%
Time( Years) 2.50
Interest 4,313
Final payment 34,313
3.-Simple interest
Loan 30,000
% 6.25%
Time( Years) 2.00
Interest 3,750
Final payment 33,750
4.-Interes rate compouned
Loan 30,000
% 6.25%
Time( Years) 2.00
Interest 3,867
Final payment 33,867
Answer:
92
Step-by-step explanation:
x= the ideal mark for his third test
100 + 63 + x/3 = 85
163+x=85x3
163 + x = 255
x=92
He would need to get at least a 92 to have the 85 average.
