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gmanbom
31.12.2019 •
Mathematics
Three slices of bread are to be toasted under a grill. the grill can hold two slices at once but only one side is toasted at a time. it takes 30 seconds to toast one side of a piece of bread, 5 seconds to put a piece in or take a piece out and 3 seconds to turn a piece over. what is the shortest time in which the three slices can be toasted?
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Ответ:
Ответ:
175 seconds,
32 slices of toast
Step-by-step explanation:
20/5 = 5 times
5 (35) = 175 Seconds to make 20 slices of toast
2> 35 seconds to make 4 pieces of toast
60 (4) = 240
240 + 40 = 280
35/280 = 8
8 (4) = 32 slices of toast
So, Anwers are:
1> 175 seconds to make 20 slices of toast.
2> 32 slices of toast they can make as many times as possible in
4 minutes and 40 seconds.
Hope that helps :)
02/16/2021
Ответ:
The decay function is![y(t)=a(1-r)^{t}](/tpl/images/0858/0862/7cdc4.png)
The graph is attached down
The domain is {t: t ≥ 0}
The range is {y: y > 0}
The y-intercept represents the initial value of the couch
The value of the couch in 2014 is $781.25 to the nearest penny
Step-by-step explanation:
The form of the decreasing exponential function is
, where
a is the y-intercept ⇒ initial amountr is the rate of in decimaly is the dependent amountx is the independent amount∵ The value of a couch is decreasing at a rate of 6.3% per year
∴![y(t)=a(1-r)^{t}](/tpl/images/0858/0862/7cdc4.png)
∴ y represents the amount of money
∴ t represents the number of years
∴ r = 6.3% = 6.3/100 = 0.063
∵ In 2007, the couch was worth $1,232
∴ The initial value is $1,232
∴ a = 1,232
∵ We need to find the value of the couch in 2014
∴ t = 2014 - 2007 = 7 years
→ Substitute the values of a, r, and t in the function above
∵ The decay function is![y(t)=1,232(1-0.063)^{t}](/tpl/images/0858/0862/872af.png)
∵![y(7)=1,232(1-0.063)^{7}](/tpl/images/0858/0862/ea771.png)
∴![y(7)=1,232(0.937)^{7}](/tpl/images/0858/0862/7b6d6.png)
∴ y(7) = 781.2460671
→ Round it to the nearest penny (2 d.p)
∴ y(7) = 781.25
∴ The value of the couch in 2014 is $781.25 to the nearest penny
∵ The y-intercept is the value of y at t = 0
∴ The y-intercept represents the initial value of the couch
→ The graph is attached down
→ The domain is {t: t ≥ 0}
→ The range is {y: y > 0}