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Papessa [141]
3 years ago
7

An amount of $15000 is borrowed for 13 years at 3.25% interest, compounded annually. If the loan is paid in full at the end of t

hat period, how much must be paid back?
Mathematics
1 answer:
kvasek [131]3 years ago
5 0

Answer:

22733.28$(This is a rounded approximate answer)

Step-by-step explanation:

The equation for exponential growth is A = P(1 + r)^n where A is the total money(interest), P is the principal, r is the rate(compound interest rate) and n is the amount of time. If you look closely and read carefully, you will find out that the principle is $15000. The rate is 0.0325(converted into decimal) and the time is 13 years. If you plug in all of this, you should get A = 15000(1.0325)^13, and A will equal approximately 22733.28$.

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On a coordinate plane, a parabola opens up. It goes through (negative 2, 4), has a vertex at (0.25, negative 6), and goes throug
serg [7]

The statements true about the the function f(x) = 2x2 – x – 6 are-

  • The vertex of the function is (one-quarter, negative 6 and one-eighth).
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<h3>What is vertex of parabola?</h3>

The vertex of parabola is the point at the intersection of parabola and its line of symmetry.

Now the given function is,

f(x) = 2x^2 – x – 6

Also, it is given that the vertex is located at (0.25, -6)  and the parabola opens up, the function has two x-intercepts.

Comparing the given function with standard form,

f(x) = a x^2 bx + c

By comprison we get,

a = 2

b = -1

c = -6

Now, x-coordinate of vertex is given as,

x = -b/2a

put the values we get,

x = -(-1)/2*2

or, x = 1/4

Put the value of x in given function, so y-coordinate of the vertex is given as,

f(1/4) = 2(1/4)² - 1/4 - 6

        = -49/6

       = -6 1/8

Hence, The statements true about the the function f(x) = 2x2 – x – 6 are-

  • The vertex of the function is (one-quarter, negative 6 and one-eighth).
  • The function has two x-intercepts.

More about vertex :

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