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2 years ago

Why are new offers APRs higher than existing account APRs?

Mathematics

1 answer:

Kamila [148]2 years ago

6 0

Answer:

The APR reflects the interest rate plus the fees you paid directly to the lender or broker or both: origination charges, discount points and any other costs. Those fees add to the cost of the loan, and APR takes them into account. That's why APR is higher than the interest rate.

Step-by-step explanation:

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Write the equation of the quadratic function whose graph passes through <img src="https://tex.z-dn.net/?f=%28-3%2C2%29" id="TexF

blagie [28]

Answer:

$f(x)=x^2+3x+2$

Step-by-step explanation:

We want to write the equation of a quadratic whose graph passes through (-3, 2), (-1, 0), and (1, 6).

Remember that the standard quadratic function is given by:

$f(x)=ax^2+bx+c$

Since it passes through the point (-3, 2). This means that when $x=-3$ , $f(x)=f(-3)=2$ . Hence:

$f(-3)=2=a(-3)^2+b(-3)+c$

Simplify:

$2=9a-3b+c$

Perform the same computations for the coordinates (-1, 0) and (1, 6). Therefore:

$0=a(-1)^2+b(-1)+c \\ \\0=a-b+c$

And for (1, 6):

$6=a(1)^2+b(1)+c\\\\ 6=a+b+c$

So, we have a triple system of equations:

$\left\{ \begin{array}{ll} 2=9a-3b+c &\\ 0=a-b+c \\6=a+b+c \end{array} \right.$

We can solve this using elimination.

Notice that the b term in Equation 2 and 3 are opposites. Hence, let's add them together. This yields:

$(0+6)=(a+a)+(-b+b)+(c+c)$

Compute:

$6=2a+2c$

Let's divide both sides by 2:

$3=a+c$

Now, let's eliminate b again but we will use Equation 1 and 2.

Notice that if we multiply Equation 2 by -3, then the b terms will be opposites. So:

$-3(0)=-3(a-b+c)$

Multiply:

$0=-3a+3b-3c$

Add this to Equation 1:

$(0+2)=(9a-3a)+(-3b+3b)+(c-3c)$

Compute:

$2=6a-2c$

Again, we can divide both sides by 2:

$1=3a-c$

So, we know have two equations with only two variables:

$3=a+c\text{ and } 1=3a-c$

We can solve for a using elimination since the c term are opposites of each other. Add the two equations together:

$(3+1)=(a+3a)+(c-c)$

Compute:

$4=4a$

Solve for a:

$a=1$

So, the value of a is 1.

Using either of the two equations, we can now find c. Let's use the first one. Hence:

$3=a+c$

Substitute 1 for a and solve for c:

$\begin{aligned} c+(1)&=3 \\c&=2 \end{aligned}$

So, the value of c is 2.

Finally, using any of the three original equations, solve for b:

We can use Equation 3. Hence:

$6=a+b+c$

Substitute in known values and solve for b:

$6=(1)+b+(2)\\\\6=3+b\\\\b=3$

Therefore, a=1, b=3, and c=2.

Hence, our quadratic function is:

$f(x)=x^2+3x+2$

5 0

2 years ago

Determine the vertical asymptote for the rational function f of x equals quantity x minus 4 end quantity divided by quantity 3 t

Anastasy [175]

Answer:

vertical asymotote at $x=\frac{-2}{3}$

Step-by-step explanation:

$f(x)= \frac{x-4}{3x+2}$

vertical asymptote is the line where the graph goes close to the line but does not cross it.

To find vertical asymptote, we set the denominator =0 and solve for x

denominator is 3x+2

set 3x+2=0

Subtract 2 on both sides

$3x=-2$

divide both sides by 3

$x=\frac{-2}{3}$

vertical asymotote at $x=\frac{-2}{3}$

6 0

2 years ago

Read 2 more answers

A group of biologists are surveying the mice population in the forest. The equation N=75•3^t gives the total number of mice, N,

zhannawk [14.2K]

75 and three are the rate at which the total number of mice increases

3 0

2 years ago

Help please! due today!

miss Akunina [59]

If ,

$\tt{z=-3+5i }$ ⠀

so,

$\overline{z}$ = $\tt{ -3-5i }$

Because,

<em>In</em><em> </em>the argand plane , $\overline{z}$ is the reflection of z in x-axis

3 0

2 years ago

Write the number in 2 equivalent forms as a fraction, decimal, or percent.

sleet_krkn [62]

Answer:

=0.75

=3/4

=75%

Step-by-step explanation:

0.75 is 75% as a percentage,

And 3/4 as a fraction.

6 0

2 years ago