Answer:
multiplicas ese numero las veces que dice el numero por cual esta elevado.
Ejemplo: 8^3 = 8 x 8 x 8
Step-by-step explanation:
Answer:
5 and 4
Step-by-step explanation:
2(x-3)^2➡ 2×(x^2-6x+9) ➡ 2x^2-12x+18 = 6x-22
transfer and add like terms
2x^2-12x-6x=-22-18
2x^2-18x = -40
2x^2 - 18x + 40 = 0
(2x-8)(x-5)
x = 5 or, x = 8/2 ➡ 4
Answer:
15
Step-by-step explanation:
We calculate the speed by dividing the distance over time:
s = d/t
So the distance described in the problem is always the same, A to B and B to A.
But we are told that;
7 = d/t
7 = 2d/(t + 2)
that is, the first equation say that at speed 7 km/h a distance d is walked in a time t
the second equation say that at a average speed of 7 (that is 8 on one way and 6 in the other: 8 + 6 = 14, half of it), twice the distance is walked in a time equal to the first time plus 2 minutes.
So we have a system of linear equations, 2 of them with two unknowns, we can solve that:
7 = d/t
7 = 2d/(t + 2<span>)
</span>lets simplify them:
7t = d
7(t + 2) = 2d
7t = 2d - 14
we substitute the first in the second:
<span>7t = 2d - 14
</span><span>7t = d
</span>so:
d = 2d - 14
d = 14
so the distance between A and B is 14 km
Answer:
FV= $634.12
Step-by-step explanation:
Giving the following formula:
Initial investment (PV)= $500
Number of periods (n)= 3*4= 12 quarters
Interest rate (i)= 0.08/4= 0.02
<u>To calculate the future value, we need to use the following formula:</u>
<u></u>
FV= PV* (1 + i)^n
FV= 500*(1.02^12)
FV= $634.12
