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e-lub [12.9K]
3 years ago
10

Sam Long anticipates he will need approximately $227,300 in 14 years to cover his 3-year-old daughter's college bills for a 4-ye

ar degree. How much would he have to invest today at an interest rate of 10% compounded semiannually? (Do not round intermediate calculations. Round your answer to the nearest cent.)
Amount =​
Mathematics
1 answer:
SSSSS [86.1K]3 years ago
4 0

Answer:

which of these expressions or phrases can be used to represent the model brainly choose al the correct answerswhich of these expressions or phrases can be used to represent the model brainly choose al the correct answerswhich of these expressions or phrases can be used to represent the model brainly choose al the correct answerswhich of these expressions or phrases can be used to represent the model brainly choose al the correct answerswhich of these expressions or phrases can be used to represent the model brainly choose al the correct answerswhich of these expressions or phrases can be used to represent the model brainly choose al the correct answerswhich of these expressions or phrases can be used to represent the model brainly choose al the correct answerswhich of these expressions or phrases can be used to represent the model brainly choose al the correct answerswhich of these expressions or phrases can be used to represent the model brainly choose al the correct answers

Step-by-step explanation:

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Which of the following pairs of functions are inverses of each other?
natta225 [31]

Answer:

The pair which are inverse of each other are:

Option: C

f(x)=11x-4\ and\ g(x)=\dfrac{x+4}{11}

Step-by-step explanation:

Two functions f(x) and g(x) are said to be inverse of each other if:

fog(x)=gof(x)=x

i.e. the composition of two functions give identity no matter what the order is.

A)

f(x)=\dfrac{x}{12}+15 and g(x)=12x-15

Now we calculate fog(x):

fog(x)=f(g(x))\\\\fog(x)=f(12x-15)\\\\fog(x)=\dfrac{12x-15}{12}+15\\\\fog(x)=x-\dfrac{15}{12}+15\\\\fog(x)=x-\dfrac{55}{4}\neq x

Hence, option: A is incorrect.

B)

f(x)=\dfrac{3}{x}-10\ and\ g(x)=\dfrac{x+10}{2}

Now we calculate fog(x):

fog(x)=f(g(x))\\\\fog(x)=f(\dfrac{x+10}{3})\\\\fog(x)=\dfrac{3}{\dfrac{x+10}{3}}-10\\\\fog(x)=\dfrac{9}{x+10}-10\neq x

Hence, option: B is incorrect.

D)

f(x)=9+\sqrt[3]{x}\ and\ g(x)=9-x^3

Now we calculate fog(x):

fog(x)=f(g(x))\\\\fog(x)=f(9-x^3)

fog(x)=9+\sqrt[3]{9-x^3}\neq x

Hence, option: D is incorrect.

C)

f(x)=11x-4\ and\ g(x)=\dfrac{x+4}{11}

Now we calculate fog(x):

fog(x)=f(g(x))\\\\fog(x)=f(\dfrac{x+4}{11})

fog(x)=11\times (\dfrac{x+4}{11})-4\\\\fog(x)=x+4-4\\\\fog(x)=x

Similarly,

gof(x)=g(f(x))\\\\gof(x)=g(11x-4)\\\\gof(x)=\dfrac{11x-4+4}{11}\\\\gof(x)=\dfrac{11x}{11}\\\\gof(x)=x

Hence, option: C is the correct option.

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So there are 20 eggs total.
If Kyla/Kyle found 1/2 the eggs then she/he found 20/2 = 10 eggs
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Step-by-step explanation:

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