Answer:
$13842.43
Step-by-step explanation:
Given data
Value of car=$15,250
Rate of depreciation= 16%
Time = 6 years
We can use the exponential function below to model the value of the car after 6 years
v(t)= a(r)^x
But r= 1-0.016----------Because the value is depreciating
a=15,250
r=0.016
x=6
Substitute
v(t)= 15250(1-0.016)^6
v(t)= 15250(0.984)^6
v(t)= 15250*0.9077
v(t)= $13842.43
Hence the value will be $13842.43 after 6 years
The fraction for 0.21 would be 21/100
Answer: The probability is 1/8
Explanation:
Probability is a ratio of the number of relevant outcomes and total number of possible outcomes.
We are flipping the coin three times.
The number of relevant outcomes is 1 (one triple {Head, Head, Tail})
The number of all possible outcomes is the product of 2 possibilities (Head or Tail) on first toss, times another 2 on second, times another 2 on third, so 2^3 = 8.
The probability P = 1/8
Answer:
0.66
Step-by-step explanation:
The exponential growth equation is expressed as;
S(t) = S0e^kt
S(t) is the number of stores after t years
S0 is the initial number of stores
If a chain of retail computer stores opened 2 stores in its first year of operation then at t = 1, S(t) = 2. Substitute into the equation;
2 = S0e^k(1)
2 = S0e^k .... 1
Also if after 8 years of operation, the chain consisted of 206 stores, this means at t = 8, S(t) = 206. Substitute into the equation;
206 = S0e^k(1)
206 = S0e^8k .... 2
Next is to calculate the value of k
Divide equation 2 by 1;
Hence the value of k to the nearest hundredth is 0.66
Answer:
7.18 light-years
Step-by-step explanation:
6.8 x 10^13 = 68,000,000,000,000
9.46 x10 ^12 = 9,460,000,000,000
6.8 x 10^13 * 1 light year / 9.46 x 10^12 = 7.188 light years.
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