Answer:
Part A: She borrowed: 3700
Part B: She would pay 555 in interest.
Step-by-step explanation:
Since, simple interest is,
Where, P is the principal amount,
r is the annual rate of interest,
t is time ( in years ),
Part A : Here, S.I. = $ 444,
t = 3 years,
r = 4 %,
Thus,
Hence, She borrowed $ 3700.
Part B :
Here, r = 5 %, t = 3 years, P = $ 3,700,
Hence, She would pay $ 555 interest.
Answer:
f(g(-1)) = 22
g(f(-1))=6
Step-by-step explanation:
We are given
We need to find f(g(-1)) and g(f(-1))
Finding f(g(-1))
First we will find f(g(x)) i.e
Now finding f(g(-1)) by putting x=-1
So, f(g(-1)) = 22
Finding g(f(-1))
First we will find g(f(x)) i.e
Now finding g(f(-1)) by putting x=-1
So, g(f(-1))=6
Answer:
Exact form: x = 3, -3/4 or Decimal form: x = .75, -3
Step-by-step explanation:
Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
Exact form:
x = 3/4, -3
Decimal form:
x = .75, -3
The easiest way to compare fraction is to make them all have the same denominator and then you can just compare the numerators...
-1/6, (5/3)(2/2), -5/6
-1/6, 10/6, -5/6 so from least to greatest
-5/6, -1/6, 10/6
-5/6, -1/6, 5/3
The foci of an ellipse are (c,0) & (-c,0)
Where c² = a² - b²
The major axis is 34 feet
So 2a = 34
Dividing by 2 on both sides
a = 17
Also minor axis is 16 feet
So 2b = 16
Dividing by 2 on both sides
b = 8
Now we know
c² = a² - b²
c² = 17² - 8² = 289 - 64 = 225
Taking square root on both sides
c = 15 feet
Now the two foci are (15,0) & (-15,0)
Distance between these points is 15 - (-15) = 15 + 15 = 30
The distance between the two foci is 30 feet.
