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Feliz [49]
3 years ago
14

Which exponential equation is equivalent to the logarithmic equation below ? log 987= a

Mathematics
2 answers:
Fed [463]3 years ago
8 0

Answer: 10^a=987

Step-by-step explanation:

astraxan [27]3 years ago
4 0
   
\underbrace{\bold{\texttt{log}_b 987 = a}}_{\text{Logarithmic equation}} ~~~\Longleftrightarrow~~~\underbrace{\bold{b^a = 987}}_{Exponential equation}



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I hope this answers your question!

8 0
4 years ago
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Fred earns $9.45 per hour. He regularly works 40 hours per week. He is paid time and a half for each hour of overtime. Last week
DENIUS [597]

Answer:

406.35

Step-by-step explanation:

40 times $9.45=378

2 times (9.45times1.5)= 28.35

28.35+378= 406.35

8 0
4 years ago
The average American spent $8,508 on health care in 2011. The cost of health care is projected to rise about 5.8% per year for t
klio [65]
<h3>The projected amount the average American spent on health care in 2014  is $ 10075.91</h3>

<em><u>Solution:</u></em>

Given that,

The average American spent $8,508 on health care in 2011

The cost of health care is projected to rise about 5.8% per year for the years 2012-2022

<em><u>The increasing function is given as:</u></em>

y = a(1+r)^t

Where,

y is future value

a is initial value

r is growth rate in decimal

t is number of years

From given,

a = 8508

r = 5.8 \% = \frac{5.8}{100} = 0.058

t = 2011 to 2014 = 3 years

<em><u>Substituting the values, we get,</u></em>

y = 8508(1 + 0.058)^3\\\\y = 8508(1.058)^3\\\\y = 8508 \times 1.1842\\\\y = 10075.914 \approx 10075.91

Thus the projected amount the average American spent on health care in 2014  is $ 10075.91

4 0
4 years ago
Follow the directions to solve the system of equations by elimination. 8x + 7y = 39 4x – 14y = –68 Multiply the first equation t
Helga [31]

Answer:

x=½

y=5

Step-by-step explanation:

(8x+7y=39)2

16x+14y=78

<u>4</u><u>x</u><u>-</u><u>1</u><u>4</u><u>y</u><u>=</u><u>-</u><u>6</u><u>8</u> add the two equations

20x=10.

divide both sides by 20

x=½

8x+7y=39

4+7y=39

7y=39-4

7y=35

y=5

7 0
4 years ago
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What's 17/42 as a mixed number
goldfiish [28.3K]

it's 17/42... theres no whole number

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3 years ago
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