Answer:
Step-by-step explanation:
As per the graph, the y-intercept is 20 which is the initial amount.
Another marked point has coordinates (4, 50).
<u>The slope is:</u>
<u>The equation of the line is:</u>
$20 is the initial deposit and weekly deposit is $7.5
Answer:
(e) csc x − cot x − ln(1 + cos x) + C
(c) 0
Step-by-step explanation:
(e) ∫ (1 + sin x) / (1 + cos x) dx
Split the integral.
∫ 1 / (1 + cos x) dx + ∫ sin x / (1 + cos x) dx
Multiply top and bottom of first integral by the conjugate, 1 − cos x.
∫ (1 − cos x) / (1 − cos²x) dx + ∫ sin x / (1 + cos x) dx
Pythagorean identity.
∫ (1 − cos x) / (sin²x) dx + ∫ sin x / (1 + cos x) dx
Divide.
∫ (csc²x − cot x csc x) dx + ∫ sin x / (1 + cos x) dx
Integrate.
csc x − cot x − ln(1 + cos x) + C
(c) ∫₋₇⁷ erf(x) dx
= ∫₋₇⁰ erf(x) dx + ∫₀⁷ erf(x) dx
The error function is odd (erf(-x) = -erf(x)), so:
= -∫₀⁷ erf(x) dx + ∫₀⁷ erf(x) dx
= 0
Hello!
Answer:
$2,615
Explanation:
The balance of $ 2,056 is a positive number,
The deposits of $ 875 is a positive number.
The withdrawal of $ 316 is a negative number.
So,
Our total will be equal to 20. If we want 1 additional topping, we will have an additional $1.25. <span>If we want 2 additional toppings, we will have an additional $2.50. So we can just multiply the number of additional toppings by 1.25 to get the additional amount.
1.25x
However, you will have already spent $15.
1.25x + 15 = 20
This is option B.
P.S. You will be able to put exactly 4 additional toppings.</span>
