Since this is a compound interest, we will use this formula: A = P(1+r/n)^n*t
P = $1000 --> the amount that we start with
r = 8% --> this is the rate
n = 4 --> This is because it is compounded quarterly.
t = 5 --> the amount of years
A = 1,000.00(1 + 0.02)^(20)
So our final value after inserting those numbers in the equation is: $1,485.95.
Ruby eats two slices of pie
Fraction generally represents a part of the whole. The number present in the upper side is called as numerator and the number present below is called as denominator. Fraction can also be represented as a decimal or percentage when required.
Fraction of pie Ruby ate = 1/5
Number of slices present in the pie = 10
numerical value of a fraction = fraction x total number
So, total number of slices of pie that Ruby ate = 10 x 1/5 = 2
Therefore, Ruby eats two slices of pie.
Ruby ate 1/5 of a pie and if there was 10 slices of pie, it implies Ruby eats two slices of pie.
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Answer:
B: 4 solutions
Step-by-step explanation:
Combining the two equations results in 2x² = 52, or x² = 26.
This equation has two solutions: x = ±√26.
As before, x² = 26. If we substitute 26 for x² in the 1st equation, we get:
26 - 4y² = 16, or 4y² = 10, or y = ±√5/2. Again: two solutions.
If we take x to be +√26, y could be ±√(5/2).
Check: is ( √26, √(5/2) ) a solution of the system?
Subbing these values into the first equation, we get:
26 - 4(5/2) = 16. Is this true?
Then 10 = 10. Yes.
Through three more checks, we find that this system has FOUR solutions.
2-5x-4+8
A: -5
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Answer:
c. the zeros, -24 and 24, can be found when 0= (x+24)(x-24).
Step-by-step explanation:
The given function is

When we equate the function to zero, we obtai;

Use difference of two squares:


Use the zero product property to obtain;

This implies that;

The correct choice is C