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dybincka [34]
3 years ago
15

The graph of the function f(x)= 2x is shown. The inverse is also a function. If the domain of the inverse is the range values of

the original function, identify the domain of the inverse of f(x).
A) {any real number}
B) {any real number > 0}
C) {any real number < 0}
D) {any real number ≥ 0}
Mathematics
2 answers:
boyakko [2]3 years ago
5 0

Answer:

actually its B {any real number > 0

NNADVOKAT [17]3 years ago
3 0
D. {any real number > 0}
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Anna has a 30-year, 5.75% mortgage on her $250,000 home. She has been
poizon [28]

Answer:

Her new monthly payment is now $1,378.91¢

Step-by-step explanation:

  For us to calculate the new monthly mortgage payment that Anna will start paying from now on, we need to input the formula for calculating monthly mortgage payments.

The formula is:-

          M = P [\frac{r(1+r)^{n} }{(1+r)^{n}-1}]

  Where M is the monthly mortgage payment.

              P is the principal

              r is the monthly interest rate calculated by dividing your annual interest rate by 12

             n is the number of payments(the number of months you will be paying the loan).

 In this case, the new principal that Anna must pay back is $231,905.47¢. The annual interest rate has been reduced to 5.17% from 5.75% so the new monthly interest rate will be obtained by dividing the new annual interest rate by 12

   = 5.17%/2

   = 0.431%

  This is the new monthly  interest rate.

  Since she has been paying her mortgage loan diligently for 5 complete years. It means she now has just 25 years to complete the payment. If 12 months make up one year, then there are - 12 × 25 = 300 more months to go.

   300 is therefore "n" that is required for the calculation.

All the terms needed for the calculation of her new monthly mortgage is now complete.

P = $231,905.47¢

r  = 0.431%

n = 300

             

 M = 231,905.47[\frac{0.00431(1+0.00431)^{300} }{(1+0.00431)^{300} -1}]

     = 231,905.47[\frac{0.00431(3.634)}{2.634}]

     = 231,905.47 × 0.005946

   M  = $1,378.91¢      

   Therefore her new monthly mortgage payment will become $1,378.91¢

4 0
4 years ago
Read 2 more answers
Given the Function:
sergey [27]
F(x)=-2e^x
x=3
f(3)=-2e^3
pemdas so exponents first
e^3
e=2.718281828454590
cube that
20.0855

now we have
-2 times 20.0855=-40.1711

answer should be -40.1711
(I see what you did wrong, if -6=-2 times e^3, divide -2, 3=e^3, maybe you just put -2 times 3 by mistake)
5 0
4 years ago
Read 2 more answers
Does the table show a direct proportional relationship? If so, what is the constant of proportionality?
lesantik [10]

Answer:

C. Yes, 3.5.

Step-by-step explanation:

If there is a relationship of direct proportionality for every ordered pair of the table, then the constant of proportionality must the same for every ordered pair. The constant of proportionality (k) is described by the following expression:

k = \frac{y}{x} (1)

Where:

x - Input.

y - Output.

If we know that (x_{1}, y_{1}) = (13, 45.5), (x_{2}, y_{2}) = (14, 49) and (x_{3}, y_{3}) = (15, 52.5), then the constants of proportionalities of each ordered pair are, respectively:

k_{1} = \frac{y_{1}}{x_{1}}

k_{1} = \frac{45.5}{13}

k_{1} = \frac{7}{2}

k_{2} = \frac{y_2}{x_2}

k_{2} = \frac{49}{14}

k_{2} = \frac{7}{2}

k_{3} = \frac{y_{3}}{x_{3}}

k_{3} = \frac{52.5}{15}

k_{3} = \frac{7}{2}

Since k_{1} = k_{2} = k_{3}, the constant of proportionality is 3.5.

8 0
3 years ago
What is 22+54x=-20+60x
krek1111 [17]

Answer:

7

Step-by-step explanation:

22+54x=20+60x

54x=-42+60x

-6x=-42

x=7

4 0
3 years ago
Yesterday, Audrey drank the liquids shown in the
Andrew [12]

Answer:

1890 ml

Step-by-step explanation:

if you add it all together

8 0
3 years ago
Read 2 more answers
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