Answer:
A ≈ $500
General Formulas and Concepts:
<u>Pre-Alg</u>
- Order of Operations: BPEMDAS
<u>Algebra I</u>
Compounded Interest Rate: A = P(1 + r/n)ⁿˣ
- A is final amount
- P is initial (principle) amount
- r is rate
- n is number of compounds
- x is number of years
Step-by-step explanation:
<u>Step 1: Define</u>
P = 230
r = 0.063
n = 365
x = 12
<u>Step 2: Solve for </u><em><u>A</u></em>
- Substitute: A = 230(1 + 0.063/365)³⁶⁵⁽¹²⁾
- Divide: A = 230(1 + 0.000173)³⁶⁵⁽¹²⁾
- Multiply: A = 230(1 + 0.000173)⁴³⁸⁰
- Add: A = 230(1.00017)⁴³⁸⁰
- Exponents: A = 230(2.1296)
- Multiply: A = 489.808
Time is 4 hrs., coffee is 0 cups. Point (4,0)
So A
The square has a 44-inch diagonal.
The pythagorean equation must be used to obtain the hand.
Diagonal (d) ^ 2 = side^2 + side ^ 2
Diagonal (d) ^ 2 = 2side (s)^2
d^2 = 2s^2
44^2 = 2s^2
1936 = 2s^2
2s^2 = 1936
s^2 = 968
s = 31.11 inches
The length of the side is around 31 inches
Perimeter = 4*s
Perimeter = 4 * 31
Perimeter = 124 inches
As a result, you will need a total of 124 inches to frame the rectangle.
Hope this helps you!!
The range of a function is the value of y where it is defined
Note the coordinates of the 3 points:
A(-2,0)
B(2,4)
C(3,-3)
As described the range (values of y) are 0,4 & -3
Hence Range ={ y ∈ -3 ≤ y ≤ 4}
<h3>
Answer: C. 13</h3>
===============================================
Explanation:
In general if we have these two vectors
u = (a,b)
v = (c,d)
Then the dot product of them is
u dot v = a*c + b*d
We multiply the corresponding coordinates, then add up the products.
-----------------------
In this case,
u = (3,2)
v = (1,5)
u dot v = 3*1+2*5
u dot v = 3 + 10
u dot v = 13
