Answer:
Step-by-step explanation:
The standard compound interest formula is given by:
Where A is the amount afterwards, P is the principal, r is the rate, n is the times compounded per year, and t is the number of years.
Since we are compounding annually, n=1. Therefore:
Lester wants to invest $10,000. So, P=10,000.
He wants to earn $1000 interest. Therefore, our final amount should be 11000. So, A=11000.
And our timeframe is 3.3 years. So, t=3.3. Substituting these values, we get:
Let’s solve for our rate r.
Divide both sides by 10000:
We can raise both sides to 1/3.3. So:
The right side will cancel:
So:
Use a calculator:
So, the annual rate of interest needs to be about 0.03 or 3% in order for Lester to earn his interest.
Answer:
x = √47
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Trigonometry</u>
- [Right Triangles Only] Pythagorean Theorem: a² + b² = c²
Step-by-step explanation:
<u>Step 1: Define</u>
We have a right triangle. We can use PT to solve for the missing side length.
<u>Step 2: Identify Variables</u>
Leg <em>a</em> = 5
Leg <em>b </em>= <em>x</em>
Hypotenuse <em>c</em> = √72
<u>Step 3: Solve for </u><em><u>x</u></em>
- Substitute [PT]: 5² + x² = (√72)²
- Exponents: 25 + x² = 72
- Isolate <em>x</em> term: x² = 47
- Isolate <em>x</em>: x = √47
Answer:
N = 15 ; P = 0.3
Step-by-step explanation:
According to the question, the data provided in the question is as follows
The percentage of parolees from prison return to prison = 30%
Number of years = 3 years
Number of prisoners released from a Texas prision is 15
Based on the above information, the value of the parameters for the binomial random variable X is
N = 15 = number of prisoners
And, the P = Percentage = 30% = 0.3
Divide by the coefficient of y.
y = (45/9)x
y = 5x
The constant of proportionality is 5.
The answer is choice B
y > (2/3)x + 1
The boundary line is the equation y = (2/3)x + 1 which can be found through the slope formula to get m = 2/3. Then you use one of the two points on the line to find b = 1.
The equal sign in y = (2/3)x + 1 changes to a "greater than" sign to indicate two things
A) The shaded region is above the boundary line
B) The boundary line itself is a dashed line to indicate "no solution points on this line"
