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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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sweet-ann [11.9K]

Answer:

The values of a, b, and c for the quadratic equation

a=3

b=-5

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7 0
3 years ago
Read 2 more answers
Formulate the situation as a system of inequalities. (Let x represent the number of dinghies the company can manufacture and y r
kirill [66]

Answer:

x (smallest to largest) = 0,45 ,55

y (smallest to largest) = 0,10,40

Step-by-step explanation:

(hours)        Dinghy Rowboat        Labor Available

Metal Work 2             3                       120

Painting         2              2                        110

Let x represent the number of dinghies the company can manufacture and y represent the number of rowboats.

So, total hours for metal work = 2x+3y

So, total hours for Painting = 2x+2y

So, equation becomes:

2x+3y\leq 120

2x+2y\leq 110

x\geq 0

y\geq 0

Plot the inequalities

Refer the attached figure

So, the vertices of the feasible region are (0,40),(45,10) and (55,0)

So, x values are 0 , 45 and 55

x represents the number of dinghies

So, x (smallest to largest) = 0,45 ,55

y values are 40,10,0

y represent the number of rowboats.

So, y (smallest to largest) = 0,10,40

3 0
3 years ago
True or False: If lim x → a f(x) does not exist, then f is undefined at the point x = a.
kkurt [141]

Answer:

this is absolutely false.

8 0
3 years ago
A researcher wishes to be 95% confident that her estimate of the true proportion of individuals who travel overseas is within 3%
andre [41]

Answer:  a) 683   b) 1067

Step-by-step explanation:

The confidence interval for population proportion is given by :-

p\pm z_{\alpha/2}\sqrt{\dfrac{p(1-p)}{n}}

a) Given : Significance level :\alpha=1-0.95=0.05

Critical value : z_{\alpha/2}}=\pm1.96

Margin of error : E=0.03

Formula to calculate the sample size needed for interval estimate of population proportion :-

n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2\\\\=0.2(0.8)(\dfrac{1.96}{0.03})^2=682.951111111\approx683

Hence, the required sample size would be 683 .

b) If no estimate of the sample proportion is available then the formula to calculate sample size will be :-

n=0.25(\dfrac{z_{\alpha/2}}{E})^2\\\\=0.25(\dfrac{1.96}{0.03})^2=1067.11111111\approx1067

Hence, the required sample size would be 1067 .

3 0
3 years ago
Explain why you rename 4 1/4 to find 4 1/4- 3/4​
Hitman42 [59]

Answer:

Because it is a mixed fraction and it should be renamed in order to solve your problem, for the other one CAN NOT be converted into a mixed fraction.

6 0
2 years ago
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