Answer:
Step-by-step explanation:
we know that
The compound interest formula is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
substitute in the formula above
Applying log both sides
applying property of logarithms
![t=log(11,600/5,200)/[(4)log(1.0215)]](https://tex.z-dn.net/?f=t%3Dlog%2811%2C600%2F5%2C200%29%2F%5B%284%29log%281.0215%29%5D)
Answer:
It is 2.
Step-by-step explanation:
The equation becomes -2y=-4x=5
But you divide by -2 to get y solo. So -4/-2=2.
The right answer is The Same Length.
The triangle displayed is Isosceles. The explanation of this statement is the fact that the Line which is making a right angle it is also the one that slices the segment into equal segments. Mathematically speaking, in our triangle the
Median is perpendicular on the segment from which results that the triangle is Isosceles and x = y.
Answer:
-11 4/9
Step-by-step explanation:
-3 1/9 minus 8 1/3 with common denominators would be -3 1/9 minus 8 3/9, and that would be -11 4/9.
Answer: Choice B) x < 10
=======================================================
Explanation:
There's 300 square feet total (land+water). Of that, 100 sq ft is taken up by the pond, so we have 300-100 = 200 sq ft of dry land.
1 duck needs more than 20 sq ft of dry land
2 ducks need more than 40 sq ft of dry land (note how 2*20 = 40)
3 ducks need more than 60 sq ft of dry land (note how 3*20 = 60)
and so on...
In general,
x ducks need more than 20*x square feet of dry land
The max amount of dry land we have is 200 sq ft
The total amount of space the ducks take up must be less than 200 sq ft
In terms of symbols, we have
T = total space ducks take up on dry land
T = 20*x
T < 200
So we can arrive at this inequality
20*x < 200
after replacing the "T" with "20*x"
Afterward, divide both sides by 20
20*x < 200
20*x/20 < 200/20
x < 10
So we must have less than 10 ducks
If we had 10 ducks exactly, then they would take up more than 20*10 = 200 sq ft, but we only have 200 sq ft
The largest number of ducks we can have is 9 ducks.
So that's why we have a "less than" symbol instead of a "less than or equal to" symbol.
