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lisov135 [29]
3 years ago
10

Ian is working two summer jobs, making $22 per hour tutoring and making $8 per hour landscaping. In a given week, he can work a

maximum of 11 total hours and must earn at least $120. Also, he must work at most 8 hours tutoring and at most 3 hours landscaping. If xx represents the number of hours tutoring and yy represents the number of hours landscaping, write and solve a system of inequalities graphically and determine one possible solution.
Mathematics
1 answer:
geniusboy [140]3 years ago
3 0

Answer:

worked 4 hours tutoring = 4 hours * $25 = $100 earned

$130 needed - $100 earned = $30 needed

$30/ $10 hour babysitting = 3 hours

as for the number of hours, 4 hrs tutor + 3 hrs babysit = 7 hrs, 7 hours < 10 hours its within the requirements

Minimum # of hours babysitting = 3 hours

Step-by-step explanation:

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$8.75

Step-by-step explanation:

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Usethe distributive property to express28+42
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What is the compound interest of 10400 at 12.7% for 4 year
Naddik [55]

The Compound Interest of 10400 at 12.7% for 4 years is 6378.

The principal amount is given as 10400.

The rate of interest is given as 12.7%.

The time period to be calculated is given as 4 years.

The compound interest for the given above is to be calculated.

<h3>What is compound interest?</h3>

Compound interest is the interest that we earn both on the principal amount and the interest we earn.

The formula used to calculate compound interest is:                                  

   P [ (1 + \frac{R}{100} )^n - 1 ]

Where P = principal amount, R = rate of interest, and n = number of years.

We have,

P = 10400

R = 12.7%

n = 4 years

Compound interest:

P [ (1 + \frac{R}{100} )^n - 1 ]\\\\10400 [ (1 + \frac{12.7}{100} )^4 - 1 ]

Now,

10400 [ ( 1 + 0.12.7 )^2 - 1 ]

10400 [ 1.127^4 - 1 ]

10400 [ 1.61322 - 1 ]

10400 x 0.6132

6377.56

Rounding to the nearest whole number.

We have,

Compound Interest = 6378.

Thus the Compound Interest of 10400 at 12.7% for 4 years is 6378.

Learn more about Compound Interest here:

brainly.com/question/13155407

#SPJ1

8 0
1 year ago
Which equation represents a circle with the same radius as
sattari [20]

Answer :

(x+1)^2+(y-1)^2=4^2 and (x+1)^2+(y-1)^2=16

Step-by-step explanation:

Given : A circle with the same radius as  the circle shown but with a center at (-1.1).

To find : Which equation represents a circle ?

Solution :

The equation of a circle with center (h,k) and radius r is given by :

(x-h)^2+(y-k)^2=r^2

Here, we are given (h,k)=(-1,1)

and radius r=4 units

So, equation of circle will be :

(x-(-1))^2+(y-1)^2=4^2

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or (x+1)^2+(y-1)^2=16

Therefore, the required equations of circle are

(x+1)^2+(y-1)^2=4^2 and (x+1)^2+(y-1)^2=16

7 0
3 years ago
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