Answer:

$124 higher
Step-by-step explanation:
Given


Required
Represent the situation
Determine how much higher or lower is the remaining amount
Let the initial amount in his account be represented with x
When he deposited, the balance becomes

When he withdrew, the balance becomes

Hence, the algebraic expression is

Calculating how much higher or lower

Open bracket


Recall that the initial amount in the account is x
The difference between the balance and the x is as follows


<em>Hence, the account has a higher of $124 after both transactions</em>
Take into account, that in general, a cosine function of amplitude A, period T and vertical translation b, can be written as follow:

In the given case, you have:
A = 4
T = 3π/4
b = -3
By replacing you obtain:

Hence, the answer is:
f(x) = 4cos(8/3 x) - 3
Answer:
Choice D: Perimeter = 5 +
+
units
Step-by-step explanation:
point B(9, 2) , point C(4, 5), point A (1,1)
Perimeter = D( A, C) + D (A, B) + D (B, C)
where D (A, C) = distance between A and C
so...
D(A, C) = root ( (4 - 1)^2 + (5 - 1)^2) = 5 from a 3-4-5 right triangle.
D(A, B) = root( (9- 1)^2 + (2 -1)^2) = root( 64 + 1) = root(65)
D(B, C) = root( (9 -4)^2 + (2 -5)^2) = root (25 + 9) = root(34)
Perimeter = 5 + root(65) + root(34)
Perimeter = 5 +
+
units
Let's simplify step-by-step.
<span><span><span><span>2b</span>+<span>3r</span></span>+<span>4b</span></span>+r</span>
Combine Like Terms:
<span>=<span><span><span><span>2b</span>+<span>3r</span></span>+<span>4b</span></span>+r
</span></span><span>=<span><span>(<span><span>2b</span>+<span>4b</span></span>)</span>+<span>(<span><span>3r</span>+r</span>)
</span></span></span><span>=<span><span>6b</span>+<span>4r</span></span></span>
Answer:<span>=<span><span>6b</span>+<span>4<span>r</span></span></span></span>