Answer:
The car will be worth £2516.22 in 5 years
Step-by-step explanation:
The rule of depreciating is
, where
- <em>A</em> is the new value
- <em>P</em> is the original value
- <em>r</em> is the rate in decimal
- <em>t</em> is the time in years
∵ Dan buys a car for £2700
∴ <em>P</em> = 2700
∵ It depreciates at a rate of 1.4% per year
∴ <em>r</em> = 1.4% = 1.4/100 = 0.014
∵ We need to find how much it will be worth in 5 years
∴ <em>t</em> = 5
→ Substitute all of these values in the rule above to find A
∵ 
→ Use your calculator to find the answer
∴ <em>A</em> = 2516.22
∴ The car will be worth £2516.22 in 5 years
Answer:
1) x<u><</u>55
2)x<u><</u>60
Step-by-step explanation:
The bus can hold at most 55 passengers
The bulb can hold the same 60 watts or less
Answer:
The answer is 15 because that absolute value for anything is 15. No matter what number
Step-by-step explanation:
Where the function f is discontinuous and continuous is mathematically given as
- f(x) is not continuous at x = 0.
- f(x) is left continuous at x = 1
- f(x) is right continuous for all x =5
<h3>What
are the numbers at which f is discontinuous or continuous?</h3>
Generally, the equation for is mathematically given as
Since x+1, 1/x, and (x-5), the function does not "break" since these three terms are continuous. at
According to the dictionary definition of continuity, the function f(x) is continuous at x = a if:
lim (x->a-) f(x) = lim (x->a+) f(x) = f(a).
for x = 0
lim (x->0-) f(x)
= lim (x->0-) (x+1),
since f(x) = x+1 for 
f(x<=1) = 1 + 0
f(x<=1)= 1
lim (x->0+) f(x)= lim (x-->0+) ( √(x-5) ), since f(x)
lim (x->0+) f(x)= √(x-5 for x>=5
lim (x->0+) f(x)= 5
In conclusion,
- f(x) is not continuous at x = 0.
- f(x) is left continuous at x = 1
- f(x) is right continuous for all x =5
Read more about discontinuous
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Complete Question
Find the numbers at which f is discontinuous. Then determine whether f is continuous from the right, from the left, or neither at each point of discontinuity.
f(x)={ x+1 if x< 1
1/x if 1<x<5
√(x-5) if x> 5
Answer:
0
Step-by-step explanation:
Using the algebraic expansion
x³ + y³ = (x + y)³ - 3xy(x + y)
Given
x³ + y³ - 12xy + 64
= (x + y)³ - 3xy(x + y) - 12xy + 64
Substitute x + y = - 4 into the expression
= (- 4)³ - 3xy(- 4) - 12xy + 64
= - 64 + 12xy - 12xy + 64
= 0
