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3 years ago

Tuition of $

1 answer:

3 0

So hmmm bear in mind that, 9months from 12 months in a year, is 9/12 years, or 3/4

$\bf \qquad \textit{Simple Interest Earned Amount}\\\\
A=P(1+rt)\qquad 
\begin{cases}
A=\textit{accumulated amount}\to &\$2700\\
P=\textit{original amount deposited}\\
r=rate\to 11\%\to \frac{11}{100}\to &0.11\\
t=years\to \frac{9}{12}\to &\frac{3}{4}
\end{cases}
\\\\\\
2700=P\left(1+0.11\cdot \frac{3}{4} \right)$

solve for P

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This graph represents a quadratic function. What is the function’s equation written in factored form and in vertex form?

creativ13 [48]

Answer:

Part a) The function’s equation written in vertex form is

$f(x)=2(x-2)^2-8$

Part b) The function’s equation written in factored form is equal to

$f(x)=2x(x-4)$

Step-by-step explanation:

Part a) What is the function’s equation written in vertex form?

we know that

The equation of a vertical parabola written in vertex form is equal to

$f(x)=a(x-h)^2+k$

where

a is a coefficient

(h,k) is the vertex

Looking at the graph

The vertex is the point (2,-8)

substitute

$f(x)=a(x-2)^2-8$

Find the value of the coefficient a

take one point from the graph

(0,0)

substitute in the equation

$0=a(0-2)^2-8\\0=4a-8\\4a=8\\a=2$

therefore

The function’s equation written in vertex form is

$f(x)=2(x-2)^2-8$

Part b) What is the function’s equation written in factored form?

we know that

The equation of a vertical parabola written in factored form is equal to

$f(x)=a(x-x_1)(x-x_2)$

where

a is a coefficient

x_1 and x_2 are the zeros or x-intercepts of the function

Remember that the x-intercept is the value of x when the value of the function is equal to zero

Looking at the graph

The zeros or x-intercepts of the function are

x=0 and x=4

$f(x)=a(x-0)(x-4)$

$f(x)=ax(x-4)$

Find the value of the coefficient a

take one point from the graph

(2,-8)

substitute

$-8=a(2)(2-4)\\-8=-4a\\a=2$

therefore

The function’s equation written in factored form is equal to

$f(x)=2x(x-4)$

4 0

3 years ago

Solve two sevenths times four sixths . (2 points) Group of answer choices six forty seconds eight forty seconds six thirteenths

Maksim231197 [3]

Given:

The statement is "two sevenths times four sixths".

To find:

The value of the product.

Solution:

Two sevenths times four sixths can be written as:

$\dfrac{2}{7}\times \dfrac{4}{6}$

It can be rewritten as:

$\dfrac{2}{7}\times \dfrac{4}{6}=\dfrac{2\times 4}{7\times 6}$

$\dfrac{2}{7}\times \dfrac{4}{6}=\dfrac{8}{42}$

The answer of given expression is eight forty seconds.

Therefore, the correct option is B.

8 0

2 years ago

Find PNO, please help asap

Scilla [17]

Answer:

Step-by-step explanation:

Since MNP is equilateral, so <PNM=60, and since OP//NM, and <PON is 90, so <MNO=90=<PNM+PNO,so 90=60+<PNO,so <PNO=30

4 0

3 years ago

Use long division to find the quotient below.<br> (x2 + 3x - 18) + (x-3)

Vanyuwa [196]

Answer:

6x-21

Step-by-step explanation:

6 0

2 years ago

Andrea was given a $700 hiring bonus with her new job she will earn an average commission of $250 per week for the next 15 weeks

Bad White [126]

Answer:

4,450

Step-by-step explanation:

You muiltiply 250 times 15 then you add 700

8 0

3 years ago