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Slav-nsk [51]
3 years ago
8

Jackson earns $25 per hour as a tutor at the college library. he set a weekly spending budget of $130 a week and push the remain

ing money in the savings account how many hours most to work this week in order to have at least an extra $50 to put in the savings account
Mathematics
1 answer:
a_sh-v [17]3 years ago
6 0

Answer:

Jackson should work at least 8 hours this week to achieve his target.

Step-by-step explanation:

Jackson's hourly income = $25

His weekly spending budget = $130

Minimum amount to be pushed to the savings account = $50

So, minimum total amount Jackson should earn this week = 130 + 50 = 180

Number of hours to work this week = \frac{Minimum total amount}{hourly income}

= \frac{180}{25}

= 8 rounded to next integer

Hence, Jackson should work at least 8 hours this week to achieve his target.

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Please i need to know if im correct with these questions
telo118 [61]

Answer: No Solution

<u>Step-by-step explanation:</u>

ln x - ln (x + 2) = 4             restrictions: x > 0  and  x + 2 > 0   →    x > 0

ln (\frac{x}{x + 2}) = 4

(\frac{x}{x + 2}) = e⁴

x = e⁴ (x + 2)

x = 54.5982 (x + 2)

x = 54.5982x + 109.1964

- 53.5982x = 109.1964

x = \frac{109.1964}{-53.5982}

x = -2.0373

-2.0373 is not greater than 0 so is not valid

**************************************************************************

Answer: 2.1972

<u>Step-by-step explanation:</u>

eˣ = 9

ln eˣ = ln 9

   x = ln 9

   x ≈ 2.1972

**************************************************************************

Answer: \frac{3}{2}

<u>Step-by-step explanation:</u>

log₂ (3x - 4) = -1

        3x - 4 = 2⁻¹

         3x - 4 = \frac{1}{2}

       <u>       +4 </u>   <u>+4 </u>

          3x     = 4\frac{1}{2}

          3x     = \frac{9}{2}

          \frac{3x}{3} = \frac{9}{2} * \frac{1}{3}

            x = \frac{3}{2}

**************************************************************************

Answer: 1.117519

<u>Step-by-step explanation:</u>

in the calculator, type in 1 ÷ 9.

Then hit the eˣ button.

 e¹⁾⁹

= e°¹¹¹¹¹¹

= 1.117519

rounded to 6 decimal places: 1.117519

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