Answer:
$66.67
Step-by-step explanation:
The calculation of first monthly mortgage payment is amortization is given below:-
Amount borrowed = Purchase first home cost - Down payment
= $190,000 - $38,000
= $152,000
Annual interest = ($152,000 × 5%) ÷ 12
= $7,600 ÷ 12
= $633.33 per month
Now,
First monthly payment = Mortgage payment - Annual interest
= $700 - $633.33
= $66.67
Hence, we simply applied the above formula.
First we have to see the formula of profit, which is

And it is given that profit should be atleast $150, that is

Let Ritax dollars per cake, so for 15 cakes, she charge 15x .
And she epent 30 dollars for 15 cakes.
So we will get

Adding 30 to both sides

Correct option is the second option .
Convert 9 yards into feet: 9 yards * (3 feet) / (1 yard) simplifies to 27 feet.
9 yards, or 27 feet, is shorter than 29 feet.
29 feet is longer than 27 feet.
The dimensions and volume of the largest box formed by the 18 in. by 35 in. cardboard are;
- Width ≈ 8.89 in., length ≈ 24.89 in., height ≈ 4.55 in.
- Maximum volume of the box is approximately 1048.6 in.³
<h3>How can the dimensions and volume of the box be calculated?</h3>
The given dimensions of the cardboard are;
Width = 18 inches
Length = 35 inches
Let <em>x </em>represent the side lengths of the cut squares, we have;
Width of the box formed = 18 - 2•x
Length of the box = 35 - 2•x
Height of the box = x
Volume, <em>V</em>, of the box is therefore;
V = (18 - 2•x) × (35 - 2•x) × x = 4•x³ - 106•x² + 630•x
By differentiation, at the extreme locations, we have;

Which gives;

6•x² - 106•x + 315 = 0

Therefore;
x ≈ 4.55, or x ≈ -5.55
When x ≈ 4.55, we have;
V = 4•x³ - 106•x² + 630•x
Which gives;
V ≈ 1048.6
When x ≈ -5.55, we have;
V ≈ -7450.8
The dimensions of the box that gives the maximum volume are therefore;
- Width ≈ 18 - 2×4.55 in. = 8.89 in.
- Length of the box ≈ 35 - 2×4.55 in. = 24.89 in.
- The maximum volume of the box, <em>V </em><em> </em>≈ 1048.6 in.³
Learn more about differentiation and integration here:
brainly.com/question/13058734
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