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Delicious77 [7]
3 years ago
15

You earn $15 an hour tutoring and $9 an hour working at the Sippy Drink. You can tutor a maximum of 10 hours a week. You have to

put in at least 20 hours a week at the Sippy Drink to keep your job there. You can't work more than 40 hours a week. how many hours should you work at each job to earn the maximum amount of money a week?
Mathematics
1 answer:
VARVARA [1.3K]3 years ago
8 0

Answer:

5hours

Step-by-step explanation:

1 week =7 days

10 hr +20hr = 30 hrs

If you work 4hrs a wee k you will achieve only 28hrs of work so you will have to work for 5hrs to achieve 35hrs of work which is still within the bracket of 40hrs of work

In each job you will work for 2hours 30

minute

Each day you will earn $60.00

At tutoring you get $37.50

At sippy drink you will get $22.50

In a week you will get a maximum of $420.00

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A clerk is marking up merchandise 34%. The original price of an item is $455. What will be the retail price?
Nadusha1986 [10]
To find markup price, multiply the original number (455) by 1 + the decimal equivilent of the percent increase (.34)
so
455*1.34= $609.70
4 0
3 years ago
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How many years (to two decimal places) will it take $15000 to grow to $17500 if it is invested at 8% compounded semi- annually?
VLD [36.1K]

Answer:

1.97 years

Step-by-step explanation:

First, convert R as a percent to r as a decimal

r = R/100

r = 8/100

r = 0.08 per year,

Then, solve the equation for t

t = ln(A/P) / n[ln(1 + r/n)]

t = ln(17,500.00/15,000.00) / ( 2 × [ln(1 + 0.08/2)] )

t = ln(17,500.00/15,000.00) / ( 2 × [ln(1 + 0.04)] )

t = 1.965 years

:D

3 0
3 years ago
The sides of a rectangle measure 14 and 21. The perimeter of a similar rectangle is 40. What are the lengths of its Sides
Ipatiy [6.2K]

Answer:

  8 and 12

Step-by-step explanation:

The perimeter of the given rectangle is ...

  P = 2(L +W)

  P = 2(14 +21) = 2(35) = 70

The scale factor to the similar triangle is ...

  similar perimeter/original perimeter = 40/70 = 4/7

__

The dimensions of the similar triangle are the original triangle dimensions multiplied by this scale factor:

  (14)(4/7) = 8

  (21)(4/7) = 12

The sides of the similar triangle are 8 and 12.

3 0
3 years ago
Benjamin’s and David’s ages add up to 36 years. The sum of twice their respective ages also add up to 72 years. Find their ages
nydimaria [60]
Answer:Benjamin’s age = 30 and David’s age = 6

Explanation:

Let x be the age of Benjamin
Let y be the age of David

x + y = 36

And 2x + 2y = 72

If we plug 30 for x and 6 for y we get:

30 + 6 = 36
36 = 36

2(30) + 2(6) = 72
60 + 12 = 72
72 = 72

=

5 0
3 years ago
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According to the Rational Root Theorem, which function has the same set of potential rational roots as the function g(x) = 3x5 –
SVETLANKA909090 [29]

We have to identify the function which has the same set of potential rational roots as the function g(x)= 3x^5-2x^4+9x^3-x^2+12.

Firstly, we will find the rational roots of the given function.

Let 'p' be the factors of 12

So, p= \pm 1, \pm 2, \pm 3, \pm 4, \pm 6

Let 'q' be the factors of 3

So, q=\pm 1, \pm 3

So, the rational roots are given by \frac{p}{q} which are as:

\pm 1, \pm 2, \pm 3, \pm 4, \pm 6, \pm \frac{1}{3}, \pm \frac{2}{3}, \pm \frac{4}{3}.

Consider the first function given in part A.

f(x) = 3x^5-2x^4-9x^3+x^2-12

Here also, Let 'p' be the factors of 12

So, p= \pm 1, \pm 2, \pm 3, \pm 4, \pm 6

Let 'q' be the factors of 3

So, q=\pm 1, \pm 3

So, the rational roots are given by \frac{p}{q} which are as:

\pm 1, \pm 2, \pm 3, \pm 4, \pm 6, \pm \frac{1}{3}, \pm \frac{2}{3}, \pm \frac{4}{3}.

Therefore, this equation has same rational roots of the given function.

Option A is the correct answer.

4 0
3 years ago
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