olgapagan3173
17.04.2020 •
Mathematics
An investment of $2000.00 is earning interest at the rate of 6.2% compounded quarterly over 5 years. Approximately how much interest is earned on the investment?
Solved
Show answers
More tips
- F Food and Cooking How to Properly Cook Buckwheat?...
- F Food and Cooking How Many Grams Are In a Tablespoon?...
- L Leisure and Entertainment Carving: History and Techniques for Creating Vegetable and Fruit Decorations...
- P Photography and Videography How to Choose the Perfect Photo Paper for Your Images?...
- H Health and Medicine What vaccines do children need?...
- H Health and Medicine Reasons for the Appearance of Warts: Everything You Need to Know...
- A Art and Culture How to Learn Screaming: Step-by-Step Guide for Beginners...
- H Health and Medicine Contraceptive Pills After 35: The Importance Of Choosing The Right Medication...
- C Computers and Internet How to Choose a Monitor?...
- H Horoscopes, Magic, Divination Where Did Tarot Cards Come From?...
Answers on questions: Mathematics
- M Mathematics Desmond is 2 inches taller than Niki.If we let y represent Niki’s height in inches, write an algebraic expression for Desomnd’s height...
- M Mathematics Find the coordinates of the midpoint of a segment with the endpoints (7,−5) and (3,3)....
- M Mathematics What is the absolute value of...
- M Mathematics Can somebody please help me in this question?...
- M Mathematics There are 223 freshmen in school of 854 students what is the percentage of students at this school other than freshman...
- M Mathematics Error Analysis A classmate says that the system consisting of x=0, y=0, and z=0 has no solution. Explain the student s error....
- M Mathematics Question 2 (Multiple Choice Worth 4 points) Simplify 4.510 A.4.51 B.1 C.0D.-1...
- M Mathematics Let p=20−x and C(x)=286+4x, where x is the number of garden hoses that can be sold at a price of $p per unit and C(x) is the total cost (in dollars) of producing x garden hoses....
- M Mathematics Pls help me solve cause I don’t understand...
- M Mathematics Please help! (will mark as brainliest)...
Ответ:
$720.37
Step-by-step explanation:
To solve this problem, we can use the compound interest formula:
P = initial balance
r = interest rate (decimal)
n = number of times compounded annually
t = time
First, change 6.2% into a decimal:
6.2% -> -> 0.062
Since the interest is compounded quarterly, we will use 4 for n. Lets plug in the values now:
To find the interest earned, just subtract the principal of 2,000 from 2,720.37:
The interest earned is $720.37
Ответ:
Since we want to solve for the variable x, we want to isolate x
a²x + (a - 1) = (a + 1)x ⇒ Distribute x to (a+1). Also, remove parentheses
a²x + a - 1 = ax + x ⇒ Subtract a from both sides
a²x - 1 = ax + x - a ⇒ Add 1 to both sides
a²x = ax + x - a + 1 ⇒ Subtract (ax + x) from both sides
a²x - (ax + x)= ax + x - a + 1 - (ax+x) ⇒ Simplify. Remember that multiplying positive by negative = negative
a²x - ax - x = ax + x - a + 1 - ax - x ⇒ Simplify
a²x - ax - x = -a + 1 ⇒ Factor out the x from a²x - ax - x
x(a² - a - 1) = -a + 1 ⇒ Divide both sides by (a² - a - 1)
x = (-a + 1) / (a² - a - 1)
However, we need to make sure that the denominator does not equal 0. Therefore, you set the denominator = 0 (just use the quadratic formula for this), and it gives that the denominator =0 when a = (1+√5)/2 AND (1-√5)/2
Therefore, the final answer is
x = (-a + 1) / (a² - a - 1) given that a ≠ (1+√5)/2, a ≠ (1-√5)/2