We know that we have to m<span>ake a down payment of $1500 and finance the rest of $20000 at a 1.9% interest rate, making equal monthly payments for 5 years. Our first step to solve this problem would be to convert 5 years into months.
1 year = 12 months
12 * 5 = 60 months
Therefore, in 5 years there are 60 months.
Now lets solve this problem step by step.
Subtract the down payment from $20,000
</span>$20000-$1500=$18500
Multiply the remaining number by the interest rate.
$18500 *1.9 = $35150
Divide 35150 by number of months in 5 years (60)
$35150 / 60 = $585
<span>Therefore, you have to pay $585 per month.</span>
Answer:
Lily babysit for <u>less than 4 hours</u>.
Step-by-step explanation:
Given:
Lucy spends in a week babysitting for 4 hours.
Lily spends seven-eighths of 4 hours.
Now, to find whether Lily babysit for more than 4 hours or less than that.
Number of hours Lucy babysit = 4 hours.
So, to get the hours Lily babysit:


<em>On simplifying we get:</em>

<u><em>Thus, Lily spends </em></u>
<u><em> for babysitting which is less than 4 hours.</em></u>
Therefore, Lily babysit for less than 4 hours.
Answer:

General Formulas and Concepts:
<u>Calculus</u>
Differentiation
- Derivatives
- Derivative Notation
Derivative Property [Multiplied Constant]: ![\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bd%7D%7Bdx%7D%20%5Bcf%28x%29%5D%20%3D%20c%20%5Ccdot%20f%27%28x%29)
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Integration
Integration Rule [Fundamental Theorem of Calculus 1]: 
Integration Property [Multiplied Constant]: 
U-Substitution
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>

<u>Step 2: Integrate Pt. 1</u>
<em>Identify variables for u-substitution.</em>
- Set <em>u</em>:

- [<em>u</em>] Differentiate [Basic Power Rule, Derivative Properties]:

- [Bounds] Switch:

<u>Step 3: Integrate Pt. 2</u>
- [Integral] Rewrite [Integration Property - Multiplied Constant]:

- [Integral] U-Substitution:

- [Integral] Exponential Integration:

- Evaluate [Integration Rule - Fundamental Theorem of Calculus 1]:

- Simplify:

Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
I think the answer is 1.97 hope it helps you
The first integer (x) is equal to the consecutive even integers, x+2, x+4.
x = (x+2) + (x+4)
x = 2x + 6
x - 6 = 2x
x = -6 (First integer)
+2
-4 (Second integer)
+4
-2 (Third integer)
Integers: -6, -4, -2
Equation: x = (x+2) + (x+4)