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2 years ago

6

a bank receives a deposit for $30000. If the bank has a 10 percent reserve requirement approximately how much money could be ini

tial deposit eventually add to the econmy

1 answer:

Elodia [21]2 years ago

5 0

It might be 30000 maybe

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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

Find the value of x

Svet_ta [14]

Answer:

$150^o$

Step-by-step explanation:

<u>Step 1: Distribute the plus</u>

<u /> $(x + 15)^o + (135 - x)^o$

$x + 15 + 135 - x$

<u>Step 2: Combine like terms</u>

<u /> $x + 15 + 135 - x$

$(x - x)^o + (15 + 135)^o$

$0 + 150^o$

$150^o$

Answer: $150^o$

7 0

3 years ago

Read 2 more answers

Write an expression showing 5 less than the number K

BigorU [14]

Answer:

k-5

Step-by-step explanation:

5 0

2 years ago

Which choice below is a common multiple of 8 and 10 (but not the least common multiple).

Ilya [14]

Answer:

160

Step-by-step explanation:

4 is too low, 90 cant be divided by 8 and 160 is the only answer even though it is highest number

8 0

3 years ago

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A stock price is losing value at a rate of 4 cents every minute. After 15 minutes, the price of the stock is $10.24 (1024 cents)

Sveta_85 [38]

Jesus ew math bruh. Anyway let’s sing the campfire

Song

6 0

3 years ago