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Kamila [148]
3 years ago
14

11. Shelia earns $12.00 per hour. During her performance review, her boss gave her a $0.35 raise. Is this enough to keep up with

the annual average rate of inflation?​
Mathematics
1 answer:
Mademuasel [1]3 years ago
8 0

Answer: I have read and reviewed the materials for Lessons 1-3.  yes/no 2. Review the savings options (page 10): Savings Account, CD, MMDA, US Savings Bond 3. What are the benefits of having a savings account? 4. What is meant by Time Value of Money (TVM)? 5. What is a windfall? Identify 3 types. 6. What are the benefits of beginning savings at an early age? 7. List the process of buying a stock. 8. What are assets? Describe some. 9. What is the difference between Growth Investment and Income Investment? 10. What is the annual average rate of inflation? 11. Shelia earns $12.00 per hour. During her performance review, her boss gave her a $0.35 raise. Is this enough to keep up with the annual average rate of inflation? 12. Marcos earns $8.75 per hour. He is planning on asking the boss for an hourly raise increase to cover the annual cost of inflation. How much of an increase per hour should he ask for? 13. Suppose you invest $4000 in a Simple Interest account, at an APR of 3% for 10 years. What is your account balance at the end of the 10-year period? 14. Suppose you invest $4000 in a Compound Interest account, at an APR of 3% for 10 years. What is your account balance at the end of the 10-year period? 15. Round $876.4356 to the nearest cent.

876.4

Step-by-step explanation:

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I know you want to answer this question.
Alik [6]

Answer:

D. x = 3

Step-by-step explanation:

\frac{1}{2} ^{x-4} - 3 = 4^{x-3} - 2

First, convert 4^{x-3} to base 2:

4^{x-3} = (2^{2})^{x-3}

\frac{1}{2} ^{x-4} - 3 = (2^{2})^{x-3} - 2

Next, convert \frac{1}{2} ^{x-4} to base 2:

\frac{1}{2} ^{x-4} = (2^{-1})^{x-4}

(2^{-1})^{x-4} - 3 =  (2^{2})^{x-3} - 2

Apply exponent rule: (a^{b})^{c} = a^{bc}:

(2^{-1})^{x-4} = 2^{-1*(x-4)}

2^{-1*(x-4)} - 3 = (2^{2})^{x-3} - 2

Apply exponent rule: (a^{b})^{c} = a^{bc}:

(2^{2})^{x-3} = 2^{2(x-3)}

2^{-1*(x-4)} - 3 = 2^{2(x-3)} - 2

Apply exponent rule: a^{b+c} = a^{b}a^{c}:

2^{-1(x-4)} = 2^{-1x} * 2^{4}, 2^{2(x-3)} = 2^{2x} * 2^{-6}

2^{-1 * x} * 2^{4} - 3 = 2^{2x} * 2^{-6} - 2

Apply exponent rule: (a^{b})^{c} = a^{bc}:

2^{-1x} = (2^{x})^{-1}, 2^{2x} = (2^{x})^{2}

(2^{x})^{-1} * 2^{4} - 3 = (2^{x})^{2} * 2^{-6} - 2

Rewrite the equation with 2^{x} = u:

(u)^{-1} * 2^{4} - 3 = (u)^{2} * 2^{-6} - 2

Solve u^{-1} * 2^{4} - 3 = u^{2} * 2^{-6} - 2:

u^{-1} * 2^{4} - 3 = u^{2} * 2^{-6} - 2

Refine:

\frac{16}{u} - 3 = \frac{1}{64}u^{2} - 2

Add 3 to both sides:

\frac{16}{u} - 3 + 3 = \frac{1}{64}u^{2} - 2 + 3

Simplify:

\frac{16}{u} = \frac{1}{64}u^{2} + 1

Multiply by the Least Common Multiplier (64u):

\frac{16}{u} * 64u = \frac{1}{64}u^{2} + 1 * 64u

Simplify:

\frac{16}{u} * 64u = \frac{1}{64}u^{2} + 1 * 64u

Simplify \frac{16}{u} * 64u:

1024

Simplify \frac{1}{64}u^{2} * 64u:

u^{3}

Substitute:

1024 = u^{3} + 64u

Solve for u:

u = 8

Substitute back u = 2^{x}:

8 = 2^{x}

Solve for x:

x = 3

4 0
3 years ago
Im in summer school and i need to pass this please help me
andreev551 [17]

g(x) is a shift of 8 units to the left and 4 units of f(x), then the correct statement is B.

<h3>Which statement compares the graph of the two functions?</h3>

First, a vertical shift of N units is written as:

g(x) = f(x) + N

  • if N > 0 the shift is upwards.
  • If N < 0 the shift is downwards.

A horizontal shift of N units is written as:

g(x) = f(x + N).

  • if N < 0, the shift is to the right.
  • If N > 0, the shift is to the left.

In this case, we have:

g(x) = f(x + 8) + 4

So g(x) is a shift of 8 units to the left and 4 units of f(x), then the correct statement is B.

If you want to learn more about translations:

brainly.com/question/24850937

#SPJ1

8 0
1 year ago
2. χΣ -4<br> Please help
PolarNik [594]

Step-by-step explanation:

1)x is less than 7

2)x is greater than and equal to -4

5 0
3 years ago
BRAINLIEST!!<br> 1. Verify which of the following are identities.
grigory [225]

Answer:

both the equations are identities

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
3(x + 4) + 2 = 2 + 5(x – 4) what is the fifth step in solving this equation.
kotegsom [21]
3(x+4)+2= 2+5(x-4)

3x+12+2= 2+ 5x-20

3x+14= 5x-18

3x+14-14= 5x-18-14

3x= 5x-32

3x-5x = 5x-32-5x

-2x= -32

-2x/ -2= -32/-2

x= 16

So answer A combine
8 0
3 years ago
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