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3 years ago

7. Solve for x in the equation.Log27(x + 7) - Log27 (x - 1) = 2/3

Mathematics

1 answer:

babunello [35]3 years ago

3 0

Answer:

x = 2

Step-by-step explanation:

log27(x + 7) - log27(x - 1) = ⅔

log27[(x + 7)/(x - 1)] = ⅔

(x + 7)/(x - 1) = 27^⅔

(x + 7)/(x - 1) = 9

x + 7 = 9(x - 1)

x + 7 = 9x - 9

8x = 16

x = 2

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A salesperson receives step commission on sales calculated as follows:

kykrilka [37]

Answer:

$2278.846

Step-by-step explanation:

Given the following commision steps :

8% on first $1000;

12% next $2000;

20% on sales above $3000

Recorded sales for a week :

Monday $1500.00

Tuesday $3000.00

Wednesday $ 970.00

Thursday $4563.81

Friday $2760.42

This assu es that commision is calculated after weekly sales:

Total:

(1500 + 3000 + 970 + 4563.81 + 2760.42)

= $12794.23

8% on first $1000

0.08 × $1000 = $80

12% of $2000 = $240

20% of $(12794.23 - 3000)

= 0.2 × 9794.23

= 1958.846

Total commision for the week :

$(80 + 240 + 1958.846)

= $2278.846

7 0

3 years ago

If someone eats 3/4 of granola bars per week, what fraction of a box do they eat in per day ?

shepuryov [24]

Answer:

in a day (3/4)÷7=3/28

in a year (3/28)×365=39.107

4 0

2 years ago

When Kimchi is made, it is initially fermented for the first 3 days at a temperature of 70 degrees Fahrenheit and then immediate

svet-max [94.6K]

The given temperatures of 70 °F, 50 °F, and 35 °F, at the given 3, 3, and

6 days give the following step function;

$\begin{cases}f(x) = 70^{\circ } & \text{ if } 0 \leq x \leq 3 \\f(x) = 50^{\circ} & \text{ if } 3 < x \leq 6 \\ f(x) = 35^{\circ }& \text{ if } 6 < x \leq 12 \end{cases}$

Please find attached the graph of the step function?

<h3>How can the step function be written?</h3>

The temperature at it is fermented in the first three days = 70 °F

From day 3 to 6 the temperature = 50 °F

From day 6 to day 12, the temperature at which it is kept in the freezer = 35 °F

The step function is therefore;

$\begin{cases}f(x) = 70^{\circ } & \text{ if } 0 \leq x \leq 3 \\f(x) = 50^{\circ} & \text{ if } 3 < x \leq 6 \\ f(x) = 35^{\circ }& \text{ if } 6 < x \leq 12 \end{cases}$

The graph of the above function created with MS Excel is attached

Learn more about step functions here:

brainly.com/question/2509505