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.
74 R28
So sorry if its incorrect!
Answer:
sin 2x + cos x = 2 sin x cos x + cos x = (2 sin x + 1)cos x
Step-by-step explanation:
Given the expression: sin 2x + cos x,
then we can use the formula: sin 2x = 2 sin x cos x, which gives:
sin 2x + cos x = 2 sin x cos x + cos x = (2 sin x + 1)cos x
So there you have two expressions in terms of sin x and cos x, as requested. :D
Answer:
4.94
Step-by-step explanation:
