Answer:
Step-by-step explanation:
Subtract 4 times the first equation from the second:
(-7y +16x -80) -4(-9y +4x -20) = (0) -4(0)
29y = 0 . . . . . simplify
y = 0 . . . . . . . .divide by 29
4x -20 = 0 . . . . substitute 0 for y in the first equation
x -5 = 0 . . . . . .divide by 4
x = 5 . . . . . . . . add 5
The solution to this system is (x, y) = (5, 0).
She will have $2118 in her account after five years
<h3>How to determine the amount in five years?</h3>
The given parameters about the compound interest are
Principal Amount, P = $1,900
Interest Rate, R = 2.2%
Time, t = 5
Compound interests are different from simple interest, and they are calculated using the following compound interest formula
CI = P(1 + R)^t - P
To calculate the amount, we have:
A = P + CI
So, the equation becomes
A = P + P(1 + R)^t - P
Evaluate the like terms
A = P(1 + R)^t
Substitute the known values in the above equation
A = 1900 * (1 + 2.2%)^5
Express 2.2% as decimal
A = 1900 * (1 + 0.022)^5
Evaluate the sum
A = 1900 * (1.022)^5
Evaluate the exponent
A = 1900 * 1.11495
Evaluate the product
A = 2118
Hence, she will have $2118 in her account after five years
Read more about compound interest at:
brainly.com/question/24924853
#SPJ1
Answer:
Simplified Answer: 1/3 Non-Simplified Answer: 5/15
Step-by-step explanation:
Make every fraction have a common denominator:
4/5 * 3/3 = 12/15
3/15 = 3/15
2/3 * 5/5 = 10/15
Add and/or Subtract the numerator(s):
12 + 3 = 15
15 - 10 = 5
Place the final numerator over the denominator (Non-simplified Answer):
5/15
Simplify (What can you divide the numerator and the denominator by to make the fraction into it's simplest from without any remainders?):
5 goes into both 5 and 15.
5/15 divided by 5 = 1/3
Simplified Answer:
1/3
Given:
Initial investment 450
annual simple interest rate of 5%
Simple interest = Principal * interest rate * term
Simple interest = 450 x 0.05 x 14
Simple Interest = 315
Balance after 14 years: 450 + 315 = $765
We can use compounding interest, compounded once a year.
Total balance = Principal * (1 + interest rate / number of compounding)^(# compounding * term)
Total balance = 450 * (1.05)¹⁴
Total balance = 450 * 1.98
Total balance = 891
Based on these scenarios, the formula that will be used is the second formula, compounding interest formula. The balance at the beginning of year 15 is $891.
I used 14 as the number of years because the problem states at the beginning of year 15. This means 15 has not yet begun and interest is not yet earned.
Answer:
$ 1.48
Step-by-step explanation:
Think about it like this:
A penny is one cent.
Cent = 100 (what it means)
The penny is 1 out of 100.
The decimal form is .01
Sooooooo...
48/100 is the same as .48 where the 4 is in the tenth's place and the 8 is in the hundredth's place (not to be confused with hundred's and ten's).
1 is a whole number.
So 1.48 as an integer.
