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Nina [5.8K]
2 years ago
8

Calculating Financial Ratios

Mathematics
1 answer:
ludmilkaskok [199]2 years ago
6 0

Answer:

agus

Step-by-step explanation:

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What is the center and radius of the circle with equation (x - 2)^2 + (y - 5)^2 = 100?
ololo11 [35]
Answer: 
Center = (2,5)
Radius = 10
Choice A

To find this answer, first write the equation 
(x-2)^2 + (y-5)^2 = 100
into 
(x-2)^2 + (y-5)^2 = 10^2

Note how the second equation is in the form
(x-h)^2 + (y-k)^2 = r^2

We see that (h,k) = (2,5) is the center
and r = 10 is the radius
5 0
3 years ago
Read 2 more answers
Write an equation for a quadratic function that has x intercepts (-3, 0) and (5, 0)
Blizzard [7]

Answer:

One possible equation is f(x) = (x + 3)\, (x - 5), which is equivalent to f(x) = x^{2} - 2\, x - 15.

Step-by-step explanation:

The factor theorem states that if x = x_{0}  (where x_{0} is a constant) is a root of a function, (x - x_{0}) would be a factor of that function.

The question states that (-3,\, 0) and (5,\, 0) are x-intercepts of this function. In other words, x = -3 and x = 5 would both set the value of this quadratic function to 0. Thus, x = -3\! and x = 5\! would be two roots of this function.

By the factor theorem, (x - (-3)) and (x - 5) would be two factors of this function.

Because the function in this question is quadratic, (x - (-3)) and (x - 5) would be the only two factors of this function. In other words, for some constant a (a \ne 0):

f(x) = a\, (x - (-3))\, (x - 5).

Simplify to obtain:

f(x) = a\, (x + 3)\, (x - 5).

Expand this expression to obtain:

f(x) = a\, (x^{2} - 2\, x - 15).

(Quadratic functions are polynomials of degree two. If this function has any factor other than (x - (-3)) and (x - 5), expanding the expression would give a polynomial of degree at least three- not quadratic.)

Every non-zero value of a corresponds to a distinct quadratic function with x-intercepts (-3,\, 0) and (5,\, 0). For example, with a = 1:

f(x) = (x + 3)\, (x - 5), or equivalently,

f(x) = x^{2} - 2\, x - 15.

6 0
2 years ago
What is the value of c?
ladessa [460]
To find the value of C: Use the Pythagorean Theorem

4^2 + 3^2 = c^2

16 + 9 = c^2

25 = c^2

sqrt of 25 = c

c = 5
7 0
3 years ago
suppose you deposit $1000 in a savings account that pays 4.8% interest compounded monthly. Write an exponential function to mode
zubka84 [21]

Answer:

The exponential function is A(t) = 1000(1.004)^{12t}.

You will have $1,100.55 in the account after 2 years.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

A(t) = P(1 + \frac{r}{n})^{nt}

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

Deposit $1000 in a savings account that pays 4.8% interest compounded monthly.

This means that P = 1000, r = 0.048, n = 12. So

A(t) = P(1 + \frac{r}{n})^{nt}

A(t) = 1000(1 + \frac{0.048}{12})^{12t}

A(t) = 1000(1 + 0.004)^{12t}

A(t) = 1000(1.004)^{12t}

This is the exponential function

How much will you have in your account after 2 years?

This is A(2). So

A(2) = 1000(1.004)^{24} = 1100.55

You will have $1,100.55 in the account after 2 years.

5 0
2 years ago
Helppppppp plssssssssss no unhelpful answer or I will delete
lara31 [8.8K]

Answer:

80 sq.in

Step-by-step explanation:

One square's side = 4in

One square's area = 16 sq. in

16 x 5 = 80 sq.in

Hope that helps!

3 0
2 years ago
Read 2 more answers
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