Step-by-step answer:
The base of the exponential function is 1.29 for 7 days, as in
f(x) = 86*(1.29)^x
The new rate for days can be calculated by dividing x by 7 (where x remains the number of weeks), namely
f(x) = 86*1.29^(x/7)
Using the law of exponents, b^(x/a) = b^(x*(1/a)) = (b^(1/a))^x
we simplify by putting b=1.29, a=7 to get
f(x) = 86*(1.29^(1/7))^x
f(x) = 86*(1.037)^x since 1.29^(1/7) evaluates to 1.037
Rounding 1.037 to 1.04 we get a (VERY) approximate function
f(x) = 86 * (1.04^x)
1.04 is very approximate because 1.04^7 is supposed to get back 1.29, but it is actually 1.316, while 1.037^7 gives 1.2896, much closer to 1.29.
Answer:
For the first one on the left, you need to evaluate the expressions inside the parenthesis. For Question number 6, evaluate the exponent first.
Step-by-step explanation:
Think of PEMDAS, order of operations.
Parenthesis
Exponent
Multiplication
Division
Addition
Subtraction
Answer:
2000 meters per minute
Step-by-step explanation:
120 kilometers per hour=2000 meters per minute
1 m = 5 cm
6 m = 6 * 5 = 30 cm
20 m = 20 * 5 = 100 cm
dimensions are : 30 cm by 100 cm
