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.
B: 140 fruit slices 70 minus 35 equals 35 right? Add 70 to 35, and that's 105 which is in the table. 105+35=140
Hope it helps
Answer:
k=2.1
Step-by-step explanation:
7/10k=21
x7 x7 Multiply seven from each side of the equation.
10k=21
/10 /10 Divide ten from each side of the equation. 21/10=2.1
k=2.1
Step-by-step explanation:
angle ABC= angle ACB= 37° --------- because AB=AC
angle ACB+ angle ACD=180°
37+angle ACD=180
angle ACD=143°
Answer:
32 and 27
Step-by-step explanation:
59 - 5 = 54
54 ÷ 2 = 27( smallest no. )
27 + 5 = 32( largest no. )