All categories

2 years ago

Chris bought a new car for $11,000. If he

Mathematics

1 answer:

pshichka [43]2 years ago

5 0

Answer

Step-by-step explanation:

You might be interested in

Find the area of the shaded region. Show all of your work.

mihalych1998 [28]

Answer:

8in

Step-by-step explanation:

8 0

1 year ago

Read 2 more answers

According to the Rational Root Theorem, which number is a potential root of f(x) = 9x8 + 9x6 – 12x + 7?

notsponge [240]

<u>Answer-</u>

$\boxed{\boxed{\frac{7}{3}}}$

<u>Solution-</u>

Rational Root Theorem-

$f(x)=a_nx^n+a_{n-1}x^{n-1}+a_{n-2}x^{n-2}+.......+a_1x+a_0\ \ \ and\ a_n\neq 0$

All the potential rational roots are,

$=\pm (\dfrac{\text{factors of}\ a_0}{\text{factors of}\ a_n})$

The given polynomial is,

$f(x) = 9x^8 + 9x^6-12x + 7$

Here,

$a_n=9,\ a_0=7\\\\\text{factors of}\ 9=1,3,9\\\\\text{factors of}\ 7=1,7$

The potential rational roots are,

$=\pm \frac{1}{1},\pm \frac{1}{3}, \pm \frac{1}{9}, \pm \frac{7}{1}, \pm \frac{7}{3}, \pm \frac{7}{9}$

$=\pm 1,\pm \frac{1}{3}, \pm \frac{1}{9}, \pm 7, \pm \frac{7}{3}, \pm \frac{7}{9}$

From, the given options only $\frac{7}{3}$ satisfies.

6 0

3 years ago

Read 2 more answers

Granite counter tops cost $40 for every square foot. The base pay to install the counter top is $750. Set up a Linear Model repr

garri49 [273]

Answer: y = 40x + 750

Step-by-step explanation:

Linear model;

y = mx + c

y is the total cost of buying granite counter tops for a certain number of square foot as well as the cost to install the counter top.

m is the cost of granite counter tops per square foot which is $40 in this case.

x is the number of square feet required.

c is the base pay for the installation of the counter top which is $750

Linear model will therefore look like this;

y = 40x + 750

To test it. Assume you want enough granite tops for 10 square feet. How much would it cost;

= 40 (10) + 750

= $1,150

8 0

2 years ago

Read 2 more answers

Write 2/4 in simplest form

Bas_tet [7]

Divide both sides by their LCD, 2

2/4 = 1/2

1/2 is irreducible

8 0

2 years ago

What is the annual compound interest rate for an investment account modeled by the function y=12⋅1.18t ?

NikAS [45]

Answer:

The interest rate for the given investment is 18%.

Step-by-step explanation:

We are given that,

The function representing the investment model is, $y=12(1.18)^t$ .

It is required to find the interest rate for the investment.

Since, the function can be re-written as,

$y=12(1.18)^t$

i.e. $y=12(1+0.18)^t$

So, on comparing with the formula for compound interest i.e. $A=P(1+r)^t$ , where 'r' is the interest rate.

We have that,

The interest rate for the given investment is 0.18 i.e. 18%.

7 0

2 years ago