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Ostrovityanka [42]

2 years ago

13

An electrician charges $50 for the first hour and $5.50 for each additional hour. Write an equation to represent the amount the

electrician will earn

1 answer:

sesenic [268]2 years ago

6 0

Answer:

50+5.50x

Step-by-step explanation:

I really hope this helps.

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A credit card company charges 18.6% percent per year interest. Compute the effective annual rate if they compound, (a) annualy,

Darina [25.2K]

Answer:

a) Effective annual rate: 18.6%

b) Effective annual rate: 20.27%

c) Effective annual rate: 20.43%

d) Effective annual rate: 20.44%

Step-by-step explanation:

The effective annual interest rate, if it is not compounded continuously, is given by the formula

$I=C(1+\frac{r}{n})^{nt}-C$

where

<em>C = Amount of the credit granted </em>

<em>r = nominal interest per year </em>

<em>n = compounding frequency </em>

<em>t = the length of time the interest is applied. In this case, 1 year. </em>

In the special case the interest rate is compounded continuously, the interest is given by

$I=Ce^{rt}-C$

(a) Annually

$I=C(1+\frac{0.186}{1})-C=C(1.186)-C=C(1.186-1)=C(0.186)$

The effective annual rate is 18.6%

(b) Monthly

<em>There are 12 months in a year </em>

$I=C(1+\frac{0.186}{12})^{12}-C=C(1.2027)-C=C(0.2027)$

The effective annual rate is 20.27%

(c) Daily

<em>There are 365 days in a year </em>

$I=C(1+\frac{0.186}{365})^{365}-C=C(1.2043)-C=C(0.2043)$

The effective annual rate is 20.43%

(d) Continuously

$I=Ce^{0.186}-C=C(1.2044)-C=C(0.2044)$

The effective annual rate is 20.44%

3 0

2 years ago

What is the domain and range?

Pie

Answer:

Domain: {-6, -2, -1, 1, 3, 6}

Range: {-6, -2, -1, 0, 3}

Step-by-step explanation:

to find the domain of a function, you look at all the possible x-values. this means you look at all the points, and see what their x-values are.

for example, the first point on the left is at (-6, -1). this means that -6 is in the domain. continue doing this for all the points, and you get {-6, -2, -1, 1, 3, 6}

to find the range of a function, it's just like domain but with y-values.

for example, for the leftmost point, it's at (-6, -1) so -1 is part of the range. continuing this with all the points, you get {-6, -2, -1, 0, 3}

5 0

2 years ago

Find the inverse of f(x) = 3x - 2.

SSSSS [86.1K]

Answer:

x=0.6

Step-by-step explanation:

f(×)=3x-2 , 0=3x-2

5 0

3 years ago

Please help me with these two.

Bad White [126]

Just 9

I'm not sure for the second one but I think 1 ft

3 0

3 years ago

Please help me with my homework I don't understand it

Damm [24]

Answer:

Part A:

0.1111111111111 = 1/9

Part B:

3

Step-by-step explanation:

Part A:

When I put 0.111111111 into my calculator I get a conversion of 1/9.

Part B:

The fraction 1/9 means that for every 9 kids he surveyed, 1 of them replied "yes."

So covert 1/9 into x/27

27/9 = 3 which means 9 goes into 27, 3 times.

Multiply 1 by 3.

1 x 3 = 3

Put into fraction form

3/27

This means 3 students out of 27 answered "yes."

6 0

2 years ago