Answer:
This problem requires us to calculate, the value of investment after 10 and 25 years, and also tell the time after which intial investment amount will double. Investment rate and initial investment amount is given in the question.
Value of investment after 10 year = 600(1+8%)^10 = $ 1,295
Value of investment after 25 year = 600(1+8%)^25 = $ 4,109
Time after which investment amount double (n)
1200 = 600 (1.08)^n
Log 2 = n log 1.08
n = 9 years
Answer:
D.) 1:5
Step-by-step explanation:
The reason why it's D is because when you simplify the original ration, 4:20, you get the simplified answer of 1:5. When you divide each side by 4, you get the ratio of 1:5.
So, D.) 1:5
Hope this helped!
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For no solutions, put a = b = c = -1, for exactly one solution, put a = 1 and b = c = 0 and for infinite solutions, put a = b = c = 5 in the system of linear equations.
We have the system of equations:
x + y + z = 2 …(1)
a x + b y + c z = 10 …(2)
x - 2 y + z = 4 …(3)
a. The system has no solution.
Put a = b = c = -1 in (2)
We get:
- x - y - z = 10
Now add (1) and (2)
0 = 12
which is not possible.
So, no solution.
b. The system has exactly one solution.
a = 1 and b = c = 0
We have the equations as:
x + y + z = 2 …(1)
x = 10 …(2)
x - 2 y + z = 4 …(3)
c. The system has infinitely many solutions.
a = b = c = 5
We will have the equations:
x + y + z = 2 …(1)
5 x + 5 y + 5 z = 10 …(2)
x - 2 y + z = 4 …(3)
Therefore, we get that, for no solutions, put a = b = c = -1, for exactly one solution, put a = 1 and b = c = 0 and for infinite solutions, put a = b = c = 5 in the system of linear equations.
Lear more about system of linear equations here:
brainly.com/question/14323743
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Answer:
B. $79.45
Step-by-step explanation:
The equation for simple interest is I = PRT, where I = interest earned, P = principal/amount invested, R = rate as a decimal, and T = time in years.
For this example, we'll calculate the interest earned, then add to the principal to get the total amount of money in her account.
I = (70)(0.045)(3)
I = 9.45
70 + 9.45 = $79.45
Please let me know if you have questions.
The total number of people who saw the show in the first three days = 975 + 1263 + 1035 = 3273
Since the number of people are equal for all 3 days, we divide by 3.
3273 / 3 = 1091