Answer:
$544.73
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Simple Interest Rate Formula: ![\displaystyle A = P(1 + r)^t](https://tex.z-dn.net/?f=%5Cdisplaystyle%20A%20%3D%20P%281%20%2B%20r%29%5Et)
- A is final amount
- P is principle amount
- r is rate
- t is time
Step-by-step explanation:
<u>Step 1: Define</u>
A = 960
r = 0.12
t = 5
<u>Step 2: Solve for </u><em><u>P</u></em>
- Substitute in variables [Simple Interest Rate Formula]:
![\displaystyle 960 = P(1 + 0.12)^5](https://tex.z-dn.net/?f=%5Cdisplaystyle%20960%20%3D%20P%281%20%2B%200.12%29%5E5)
- [Interest] (Parenthesis) Add:
![\displaystyle 960 = P(1.12)^5](https://tex.z-dn.net/?f=%5Cdisplaystyle%20960%20%3D%20P%281.12%29%5E5)
- [Interest] Evaluate exponents:
![\displaystyle 960 = P(1.76234)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20960%20%3D%20P%281.76234%29)
- [Interest] [Division Property of Equality] Isolate <em>P</em>:
![\displaystyle 544.73 = P](https://tex.z-dn.net/?f=%5Cdisplaystyle%20544.73%20%3D%20P)
- [Interest] Rewrite:
![\displaystyle P = 544.73](https://tex.z-dn.net/?f=%5Cdisplaystyle%20P%20%3D%20544.73)
Answer:
Prisms have two congruent -- or identical -- bases, and pyramids only have one base. The shape of the base on pyramids and prisms can vary, depending on the shape of the overall three-dimensional object. For example, the base could have a square, rectangle, triangle, hexagon, pentagon or octagon shape.
Step-by-step explanation:
Answer:18
Step-by-step explanation:
Sin72=cosy
0.9511=cosy
Y=cos(inverse)0.9511
Y=18
Answer:
103
Step-by-step explanation:
We substitute x with 5:
![4(5)^2+3](https://tex.z-dn.net/?f=4%285%29%5E2%2B3)
Solve the exponent first:
![5^2 = 25](https://tex.z-dn.net/?f=5%5E2%20%3D%2025)
<em>Note: We are using order of operations (consecutively)</em>
- <em>Parentheses </em>
- <em>Exponents</em>
- <em>Multiplication</em>
- <em>Division</em>
- <em>Addition </em>
- <em>Subtraction</em>
Multiply:
25 * 4 = 100
Add:
100 + 3 = 103
Our answer is 103
<em />
All 3 or just one? i would be gladly to help