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Nutka1998 [239]
3 years ago
13

Please help! A clear explanation on how to simplify the exponents and a detailed step by step solution is greatly appreciated.

Mathematics
1 answer:
Amanda [17]3 years ago
8 0

Answer:

0.125 or 1/8

Step-by-step explanation:

2^3 +2^-3= (2*2*2) + (1/(2*2*2))= 8 + 1/8= 8 + 0.125= 8.125

4^3 +1= (4*4*4) + 1= 64 + 1= 65

8.125/65= 0.125 or 1/8

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Ursula Vanov can invest $5,000 in a 1-year CD at 3% compounded monthly or a 1-year CD compounded daily. Determine the amount at
Aliun [14]
Solving for the amount of maturity given that it is compounded monthly for 1 year with an interest of 3%, we have the formula and solution below:
A = P (1+r/n)^rn 
A = $5,000 (1.040417)
A =$5202.085

For compounded daily, we have the solution below:
A = $5,000 (1.040443)
A = $5202.215

The difference in amount is shown below:
Difference = $5202.215 - $5202.085
Difference = $0.13
7 0
3 years ago
What is the turning point of the graph of f(x) = |x| + 4 ?
leva [86]
F(x) = |x| + 4

f(0) = I 0 I + 4===> (0,4)

f(0) = - 0 +4 ===> (0,4)
3 0
3 years ago
Factor the given expression completely:<br> 147c² + 48
lyudmila [28]

Answer:

= 3(49c^2+16)

Step-by-step explanation:

5 0
3 years ago
Rich is comparing the cost of maintaing his car with the depreciating value of the car. When will the cost and value be the same
goldfiish [28.3K]

Complete question:

Rich is comparing the cost of maintaining his car with the depreciation value of the car.

The value starts at $20,000 and decreases by 15% each year. The maintanance cost is $500 the first year and increases by 28% per year.

When will the maintenance cost and the value be the same.

Answer:

9 years

Step-by-step explanation:

Depreciation is modeled by an exponential function :

A = p(1 - r)^t [decrease, '-']

A = 20,000(1 - 0.15)^t

A = 20000(0.85)^t - - - (1)

Maintainace cost :

A = p(1 + r)^t ; [increase, '+']

A = 500(1 + 0.28)^t

A = 500(1.28)^t - - - (2)

Equating (1) and 2

20000(0.85)^t = 500(1.28)^t

1.28^t / 0.85^t = 20000/500

(1.28 / 0.85)^t = 40

Take log of both sides

Log (1.28 / 0.85)^t = log 40

t * 0.1777910 = 1.6020599

t = 1.6020599 / 0.1777910

t = 9.01

t = 9 years

8 0
3 years ago
Perform the indicated operation. 4/11 x 10/8
Mrrafil [7]
 5/11 because if you simplify starting at 40/88 you get 5/11
5 0
3 years ago
Read 2 more answers
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