The axis of symmetry of h(x) = 5x2 + 40x + 64 = -4
The formula for calculating the axis of symmetry is expressed as:
Axis of symmetry x = -b/2a
h(x) = 5x^2 + 40x + 64
a = 5 and b = 40
Bea has $550 more money than Alessandro after 12 months.
Explanation:
So let start with writing the equation for Alessandro money. So we know that the current amount in his/her bank account has $2,400 and she saves $250 per month. So the equation that best fit these terms is:
y
=
250
x
+
2
,
400
Bea has $1,750 in his/her bank account and saves $350 per month. So the equation that best fit these terms is:
y
=
350
x
+
1
,
750
So for x for both of these equations is 12. So let plug the number in
Alessandro:
y
=
250
(
12
)
+
2
,
400
y
=
3000
+
2400
y
=
$
5400
after 12 months
Bea:
y
=
350
(
12
)
+
1750
y
=
4200
+
1750
y
=
$
5950
after 12 months
So subtracting $5950 and 5400 gives us a $550
hope this helps :p
The interest rate would be 20%.
The formula is derived from the compound interest formula

.
We want to isolate r in this equation to rewrite the formula. The first thing we would cancel, outside parentheses, would be p; divide both sides by p and we have

We want to cancel the exponent, t, next. We can raise a power to its reciprocal to undo it; for example, raising a squared amount to the 1/2 power will undo the exponent. We will raise both sides of this to the 1/t power:

Now we cancel the 1 by subtracting, giving us

Using this formula, we plug in 3600 for A, 2500 for p and 2 for t:
Answer:
I think she is correct !
Step-by-step explanation: