Responda:
6 meses
10 meses
Explicação passo a passo:
Dado que:
Principal = 4000
Juros = 586
Taxa (r) = 29,3% ao ano = 0,293
Juros simples = principal * taxa * tempo
586 = 4000 * 0,293 * t
586 = 1172t
t = 586/1172
t = 0,5 anos
Tempo = (0,5 * 12) = 6 meses
B.)
principal = $ 90909,09
Montante final = 100.000
Taxa (r) = 12% = 0,12
Usando a fórmula:
Quantidade final = p (1 + rt)
Taxa = r; t = tempo
100000 = 90909,09 (1 + 0,12t)
100000 = 90909,09 + 10909,0908t
100000 - 90909,09 = 10909,0908t
9090,91 = 10909,0908t
t = 9090,91 / 10909,0908
t = 0,8333334
Número de meses:
0,8333334 * 12
= 10 meses
Answer:
x = √5
Step-by-step explanation:
The Pythagorean theorem tells you the square of the diagonal is the sum of the squares of the two sides:
(√7)² = (√2)² + x²
7 = 2 + x² . . . . . . simplify
5 = x² . . . . . . . . . subtract 2
√5 = x . . . . . . . . . take the square root
We have the function:
f(x) = 3x / (x + 7)
(a)
We rename the function as: f(x) = y
Then:
y = 3x / (x + 7)
Taking the inverse:
1/y = (x + 7) / 3x
1/y = x/3x + 7/3x
1/y = 1/3 + 7/3x
Solving for x:
1/y - 1/3 = 7/3x
1/x = 3/7y - 1/7 = (3 - y) / 7y
Taking the inverse:
x = 7y / (3 - y)
Then, the inverse function of f is:
f ⁻¹(x) = 7x / (3 - x)
(b)
We know that the division by 0 is undefined in real numbers. From the function f, we have a division by 0 if x = -7, so the domain should be:
Dom_f = {x| x ≠ -7}
For the range, we know that x = -7 is a vertical asymptote of the function f, so this means that the graph never passes across x = -7, but it tends to it on infinity. Then, the range of f is:
Ran_f = All the real numbers
For f ⁻¹(x), we see that for x = 3 there is a division by 0, so this is an asymptote of the function. Then, the domain of f ⁻¹ is:
Dom_f ⁻¹ = {x| x ≠ 3}
Again, as there is an asymptote, the range is:
Ran_f ⁻¹ = All the real numbers
Answer:
John must scan at least 863 images before he pays less on his own rather than in the store
Please vote for Brainliest and I hope this helps!
Answer:
NO
Step-by-step explanation:
This is because the sample should ideally be representative of the whole population. If the right sampling methods are used, the sample should well exhibit the properties of the whole population. The sample mean should be as precise as possible to the population mean , hence it is not unusual for the sampling to mean to be exactly the same as the population mean
