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Svetradugi [14.3K]

2 years ago

7

HELP PLEASE !!!! a. 7(x + 2) = 3x + 6 b. 5/4x-17=x-8 c. 1/2(16x+5)-3=19-5x

1 answer:

Fantom [35]2 years ago

3 0

A=x= -2 b=x=36 c= x=1.5

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Angelica has been depositing $280 each month into a savings account with an APR of 2.76% for the last 3 years. If she continues

katen-ka-za [31]

Answer:

$62,490.65

Step-by-step explanation:

If we assume her deposits are at the beginning of the month, and that the interest is compounded monthly, the future value is that of an "annuity due." The formula is ...

FV = P(1+r/n)((1+r/n)^(nt)-1)/(r/n)

where r is the APR (.0276), n is the number of yearly compoundings (12), P is the monthly payment ($280), and t is the number of years (15). Putting the numbers into the formula and doing the arithmetic, we get ...

FV = $280(1.0023)(1.0023^180 -1)/(.0023) ≈ $62,490.65

Angelica's account balance after 15 years will be $62,490.65.

_____

If her deposits are at the end of the month, the balance will be $62,347.25.

7 0

2 years ago

What is the reciprocal of 1 and 1/9

podryga [215]

Answer:

reciprocal of 1 is 1 and 1/9 is 9.

6 0

2 years ago

HURRYYYYYYYYY!! What is the equation of the quadratic function with a vertex at (2, 25) and an x-intercept at (7,0)?

tangare [24]

Answer:

$y=-(x-7)(x+3)$

which is none of the choices provided.

Are you sure the question is right or even the choices?

You can even write it as:

$y=-(x+3)(x-7)$ but this is still not a choice.

Step-by-step explanation:

The vertex form of a quadratic is $y=a(x-h)^2+k$ .

This is called vertex form because it gives you the vertex is $(h,k)$ .

We are given that $(h,k)=(2,25)$ which makes our equation:

$y=a(x-2)^2+25$ .

We can find the value of $a$ by plugging in the x-intercept (7,0) for $(x,y)$ into:

$y=a(x-2)^2+25$

$0=a(7-2)^2+25$

$0=a(5)^2+25$

Subtract 25 on both sides:

$-25=a(5)^2$

$-25=a(25)$

Divide both sides by 25:

$\frac{-25}{25}=a$

$-1=a$ .

So the equation for the quadratic is:

$y=-1(x-2)^2+25$

Let's put this into factored form since all the choices are in factored form.

This will require us to multiply the (x-2)(x-2) out:

$y=-1(x-2)(x-2)+25$

$y=-1(x^2-2x-2x+4)+25$

$y=-1(x^2-4x+4)+25$

$y=-x^2+4x-4+25$

$y=-x^2+4x+21$

Factor out -1:

$y=-(x^2-4x-21)$

WE need to find two numbers that multiply to be -21 and add to be -4:

$y=-(x-7)(x+3)$

8 0

3 years ago

Read 2 more answers

Which of the following is an improper fraction?

Mnenie [13.5K]

Answer:

8/7

Step-by-step explanation:

8/7 because the numerator is greater than the denominator.

6 0

2 years ago

Read 2 more answers

PLS HELP Choose the solution to this inequality. 43<−83y y < −12 y > 12 y < 43 y > 4

OlgaM077 [116]

Given:

The inequality is:

$\dfrac{4}{3}$

To find:

The solution of the given inequality.

Solution:

We have,

$\dfrac{4}{3}$

Multiply both sides by 3.

$4$

Divide both sides by -8 and change the sign of inequality.

$\dfrac{4}{-8}>\dfrac{-8y}{-8}$

$-\dfrac{1}{2}>y$

It can be written as:

$y$

Therefore, the correct option is A.

8 0

2 years ago