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jeka57 [31]
3 years ago
14

Jeff is responsible for buying supplies of food and medication for the dogs and cats at a local shelter. The food and medication

for a dog cost twice as much as for a cat. He needs to provide supplies for 164 cats and 24 dogs, and his budget is $4,240. How much can he spend on each dog for food and medication?
Mathematics
1 answer:
Maru [420]3 years ago
5 0
164x + 24(2x) < = 4240
164x + 48x < = 4240
212x < = 4240
x < = 4240/212
x < = 20

for a dog.....2x = 2 * 20 = 40.....so it costs 40 per dog and 20 per cat
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3 years ago
If Tanisha has ​$nbsp 100 100 to invest at 66​% per annum compounded semiannuallysemiannually​, how long will it be before she h
Oxana [17]

Answer:

time is 6.76 years

Step-by-step explanation:

given data

amount = $150

payment = $100

rate r = 6%  = 0.06

to find out

time period t

solution

we know it is compounding continuous

so we will apply here formula that is

amount = payment × e^{rt}   ..........1

put here all value we get

amount = payment × e^{rt}  

150 = 100 × e^{0.06t}  

take ln both side

ln 1.5 =  e^{0.06t}  

0.40546 = 0.06t

t = 0.40546 / 0.06

t = 6.76

so time is 6.76 years

7 0
3 years ago
The speed of the current in a river is 6 mph. A ferry operator who works that part of the river is looking to
Morgarella [4.7K]

Answer:

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Step-by-step explanation:

Let he speed of the boat on the lake is x.

<u>Considering the speed of the current it will take him:</u>

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  • 2.5 / (x  + 6) + 2.5 / (x - 6) = 1
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  • 2.5*2x = x² - 36
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  • x = (5 ± √(5² + 4*36))/2 = (5 ± 13) / 2
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2 years ago
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Answer:

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If Carbon 12 is named 12 because it has 6 protons
tester [92]

Answer:

6

Step-by-step explanation:

8 0
2 years ago
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