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3 years ago

Ab- 0.5b + 1/2 when a = 1 and b = 5

1 answer:

7 0

Since you already know the values of a and b, all you have to do is split the problem into little parts and plug everything into its spot. AB would equal 1(5) which is 5. Athens 0.5b would equal, 0.5(5) to equal 2.5. So now your equation is 5-2.5+1/2 which equals 3.

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Find the amount of money in savings account if $3200 was deposited for 3 years at 40% interest compounded annually. Find the int

a_sh-v [17]

Step-by-step explanation:

Formula for compound interest is given by

$A = P(1 + R) ^{n}$

Where

A is the amount at the end of the period

P is the principal

R is the rate

n is the period

The interest = A - P

From the question

P = $ 3200

n = 3 years

R = 40%

So we have

$A = 3200 \times 2.744$

A = $ 8780.80

<h3>The amount is $ 8780.80</h3>

The interest is

$ 8780.80 - $3200

Hope this helps you

7 0

3 years ago

Write the quadratic function in the form g(x)=a (x-h)2 +kThen, give the vertex of its graph. G(x) =2x2 +20x+49Writing in the for

Snezhnost [94]

The quadratic function given to us is:

$g(x)=2x^2+20x+49$

We are asked to find the vertex form of the function.

The general formula for the vertex form of a quadratic equation is:

$\begin{gathered} g(x)=a(x-h)^2+k \\ \text{where,} \\ (h,k)\text{ is the coordinate of the vertex} \end{gathered}$

In order to write the function in its vertex form, we need to perform a couple of operations on the function.

1. Add and subtract the square of the half of the coefficient of x to the function.

2. Factor out the function with its repeated roots and re-write the equation.

Now, let us solve.

1. Add and subtract the square of the half of the coefficient of x to the function.

$\begin{gathered} g(x)=2x^2+20x+49=2(x^2+10x+\frac{49}{2}) \\ \text{half of coefficient of x:} \\ \frac{10}{2}=5 \\ \text{square of the half of the coefficient of x:} \\ 5^2=25 \\ \\ \therefore g(x)=2(x^2+10x+25-25+\frac{49}{2}) \end{gathered}$

2. Factor out the function with its repeated roots and re-write the equation.

$\begin{gathered} g(x)=2(x^2+10x+25)-2(25+\frac{49}{2}) \\ re-\text{write the above function} \\ g(x)=2(x^2+10x+25)-1 \\ \text{Let us factorize this:} \\ g(x)=2(x+5)^2-1 \end{gathered}$

Therefore, we can conclude that the Equation and vertex of the equation is:

$\begin{gathered} Equation\colon g(x)=2(x+5)^2-1 \\ \\ Vertex\colon(-5,-1) \end{gathered}$

5 0

2 years ago

the first digit of two different numbers is in a hundred million place . both numbers contain the same digits . can you determin

netineya [11]

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3 years ago

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Andreyy89

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