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lisabon 2012 [21]
3 years ago
14

Find the vertex I’d this parabola y=-2x^2-4x+4

Mathematics
1 answer:
mamaluj [8]3 years ago
5 0

Answer:

  (-1, 6)

Step-by-step explanation:

A graphing calculator shows the vertex to be (x, y) = (-1, 6).

__

You can also find it by putting the equation into vertex form.

  y = -2(x^2 +2x) +4

  y = -2(x^2 +2x +1) +4 +2(1) . . . . . add 1 inside parens; the opposite outside

  y = -2(x +1)^2 +6

Compare to ...

  y = a(x -h)^2 +k

and you see a=-2, h=-1, k=6

The vertex is (h, k) = (-1, 6).

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You want to be able to withdraw $25,000 from your account each year for 20 years after you retire.
Nina [5.8K]

Answer:

When using formulas in application, or memorizing them for tests, it is helpful to note the similarities and differences in the formulas so you don’t mix them up. Compare the formulas for savings annuities vs payout annuities.

Savings Annuity Payout Annuity

P

N

=

d

(

(

1

+

r

k

)

N

k

−

1

)

(

r

k

)

P

0

=

d

(

1

−

(

1

+

r

k

)

−

N

k

)

(

r

k

)

PAYOUT ANNUITY FORMULA

P

0

=

d

(

1

−

(

1

+

r

k

)

−

N

k

)

(

r

k

)

P0 is the balance in the account at the beginning (starting amount, or principal).

d is the regular withdrawal (the amount you take out each year, each month, etc.)

r is the annual interest rate (in decimal form. Example: 5% = 0.05)

k is the number of compounding periods in one year.

N is the number of years we plan to take withdrawals

3 0
3 years ago
If (82)p = 84, what is the value of p? 2 3 4 6
Brums [2.3K]
Alright, so in order to solve this, we need to isolate the variable. So, we need to simplify the equation. So, we have the equation:
82•P = 84
So, we need to divide both sides by 82 because it is the opposite of multiplication. So, we have :
82•P/82 = 84/82
So, 82•P/82 = 1p = P.
84/82 = P
If You Need Decimal Form, 
84/82 = About 1.02
8 0
3 years ago
Esteban's credit card issuing bank charges him an APR of 16% on new purchases, and 24% on
Julli [10]

Answer: $14

Step-by-step explanation:

Hi, to answer this question we have to multiply the amount of the cash advance (700) by the APR for cash advances in decimal form (divided by 100):

700 x (24/100) = $168 (a year)

To obtain the monthly charges, we have to divide the result by the number of months in a year (12):

168 /12 = $14

Feel free to ask for more if needed or if you did not understand something.

5 0
3 years ago
Determine whether the function f(x) = 0.25 (2x - 15)^2 + 150 has a maximum or minimum.
AnnyKZ [126]

Answer:

minimum

Step-by-step explanation:

Given a quadratic function in vertex form

f(x) = a(x - h)² + k

• If a > 0 then f(x) is a minimum

• If a < 0 then f(x) is a maximum

f(x) = 0.25(2x - 15)² + 150 ← is in vertex form

with a = 0.25 > 0

Thus f(x) has a minimum turning point

6 0
3 years ago
Plssssssssssssssssss slove I don't know how to solve this
Reika [66]

Answer:

I think the second blank is 5 and the third blank is 2.

Input 1: Output 5

Input 5: Output 2

4 0
3 years ago
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