Answer:
4
Step-by-step explanation:
Let x = the number of years
In x years, Mai's mother's age will be: 28 + x
and Mai's age will be: 12 + x
Then, 28 + x = 2(12 + x)
Distribute the 2 28 + x = 24 + 2x
Subtract 24 from each side 4 + x = 2x
Subtract x from each side x = 4
In four years, Mai's mother will be twice Mai's age.
<em>Check:
</em>
28 + 4 = 2(12 + 4)
32 = 2 × 16
32 = 32
Answer:
$3027.80
Explanation:
The compound interest formula is the following.

where
A = final amount
P = principle amount
r = interest rate / 100
n = number of compounds per interval
t = time interval
Now in our case,
A = unknown
P = $1900
r = 10.4/100
n = 12 months / year ( because the interest is compounded monthly)
t = 4.5 yrs
Therefore, the compound interest formula gives

Using a calculator, we evaluate the above to get

which is our answer!
point slope form of a line
y-y1 = m(x-x1)
y-7 = -2 (x-1)
if you want it in slope intercept form
y-7 = -2x +2
add 7 to each side
y = -2x +9
Answer:
x > -3

Step-by-step explanation:
Domain: input values (x-values)
Monotonic increasing: always increasing.
A function is increasing when its graph rises from left to right.
The graph of a quadratic function is a parabola. If the leading term is positive, the parabola opens upwards. The domain over which the function is increasing for a parabola that opens upwards is values greater than the x-value of the vertex.
<u>Vertex</u>
Standard form of quadratic equation: 

Given function:

Therefore, x-value of function's vertex:

<u>Final Solution</u>
The function is increasing when x > -3

Answer:
6
Step-by-step explanation:
The orange line doesn't pass 6, it stays at 6.