Answer:
yes
Step-by-step explanation:
ok lets substitute a for 6 and b for 7
it will look like this ((6)(7))^2
now lets solve
6x7=42
42^2=1764
ok now for the second one (6)(7)^2
i hope this helps
Answer: yes it is equivalent!
all you do is take away the parentheses and then it is the same exact thing!
Answer: the value of the car in 2019 is $5269
It loses 12% of its value every year. This means that the value of the car is decaying exponentially. We would apply the formula for exponential decay which is expressed as
A = P(1 - r)^t
Where
A represents the value of the car after t years.
t represents the number of years.
P represents the initial value of the car.
r represents rate of decay.
From the information given,
P = $21500
r = 12% = 12/100 = 0.12
t = 2019 - 2008 = 11 years
Therefore
A = 21500(1 - 0.12)^11
A = 21500(0.88)^11
A = 5269
126.5 years
N(t) = 384(1.13)^t
2,000,000,000 = 384(1.13)^t
(1.13)^t = 2,000,000,000/384
log [(1.13)^t) = log (2,000,000,000/384)
t × log 1.13 = log (2,000,000,000/384)
t = [log (2,000,000,000/384)]/(log 1.13)
t = 126.5
x =14
14x+24=18x-32
Subtract 14x from each side
14x-14x+24=18x-14x-32
24 = 4x -32
Add 32 from each side
24+32=4x-32+32
56 = 4x
Divide each side by 4
56/4 = 4x/4
14=x
(5.4k+7.9m+8.1n) centimeters
Given the side length of a triangle;
S1 = (1.3k+3.5m) cm
S2 = (4.1k-1.6n) cm
S3 = (9.7n+4.4m) cm
Perimeter of the triangle = S1+S2 + S3
Perimeter of the triangle = (1.3k+3.5m) + (4.1k-1.6n) + (9.7n+4.4m)
Collect the like terms;
Perimeter of the triangle = 1.3k+4.1k+3.5m+4.4m-1.6n+9.7n
Perimeter of the triangle = 5.4k+7.9m+8.1n
Hence the expression that represents the perimeter of the triangle is (5.4k+7.9m+8.1n) centimeters
