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Charra [1.4K]
3 years ago
12

If f(x)=64-x2 and g(x)=8-x which is the rule of the function (f + g)(x)?

Mathematics
1 answer:
HACTEHA [7]3 years ago
5 0
(f+g)(x)=f(x)+g(x)\\\\
(f+g)(x)=64-x^2+8-x\\
(f+g)(x)=-x^2-x+72
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Which graph represents the equation x = 3?
a_sh-v [17]

Answer:

Top graph

Step-by-step explanation:

x=3 is a vertical line where the value of x is always 3

4 0
3 years ago
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You save for retirement over 30 years by investing $850/month in a stock account that yields 10%. You invest $350/month in a bon
sergejj [24]

Answer:

  $13,287.70

Step-by-step explanation:

The future value of the stock account is computed as the sum of a geometric series. This computation assumes that the annual yield is compounded monthly.

  FV = p((1+r/12)^(12n) -1)/(r/12)

For the stock account, p=850, r=0.10, n=30, so the future values is ...

  FV = 850((1+.10/12)^360-1)/(.10/12)) = 1,921,414.74

For the bond account, p=350, r=.06, n=30, so the future value is ...

  FV = 350((1+.06/12)^360 -1)/(.06/12) = 351,580.26

The combined account value at the end of 30 years is ...

  $1,921,414.74 + 351,580.26 = $2,272,995.00

_____

The monthly payment that can be made over a 25 year period is given by the amortization formula.

  A = P(r/12)/(1 -(1 +r/12)^(-12n))

  = $2,272,995.00(.05/12)/(1 -(1+.05/12)^-300) = $13,287.70

You can withdraw $13,287.70 each month assuming a 25-year withdrawal period.

6 0
4 years ago
What is the value of n in the simplified expression? (4k7)3= 4n ·(k7) 3= 64k21
Nesterboy [21]
Given:
(4k⁷)³ = 4n(k⁷)³

Note that (aˣ)ⁿ = aˣⁿ

Expand the left and right sides.
4³k²¹ = 4nk²¹
Divide each side by k²¹.
4³ = 4n
Divide each side by 4.
4² = n
Therefore
n = 4² = 16

Answer: n = 16

5 0
3 years ago
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The lassos high school senior class raised funds for an end of the year cruise getaway. The city gave them a special package for
kirill115 [55]

Answer:

Step-by-step explanation:

x = total number of students

1500 + 367x = 16,600

367x = 16,600 - 1500

367x = 15100

x = 15100 / 367

x = 41.14.......rounds to 41 students <==

this only works if the port fees and taxes that the city gave them are included in the money the class raised

5 0
3 years ago
100.000.000x30 <br><br> Kaçtır?
sergiy2304 [10]

Answer:

the answer is 3000000000

6 0
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