Answer:
see below
Step-by-step explanation:
The way the problem is worded, we expect "n" to represent the year number we're at the beginning of. That is the initial balance is that when n=1, and the balance at the beginning of year 5 (after interest accrues for 4 years) is the value of obtained when n=5.
After compounding interest for 4 years, the balance will be ...
500·1.04^4 = 584.93
The matching answer choice is shown below.
Answer:
He made 40 grams of 20% sugar syrup.
Step-by-step explanation:
Alan threw 8 grams of sugar into 32 grams of water and got 8 + 32 = 40 grams of sugar syrup.
To determine the percent of sugar, note that
40 g - 100%,
8 g - x%,
then
The complete question is
<span>-2 2/3, -5 1/3, -10 2/3, -21 1/3, -42 2/3, ... Which formula can be used to describe the sequence?
a. f(x + 1) = –2f(x)
b. f(x + 1) = f(x)
c. f(x + 1) = -f(x)
d. f(x + 1) = 2f(x)
case a) </span>f(x + 1) = –2f(x)
for f(x)=-2 2/3
f(x+1)=-2*[-2 2/3]=5 1/3
5 1/3 is not -5 1/3
therefore
this is not the formula
case b) f(x + 1) = f(x)
for f(x)=-2 2/3
f(x+1)=-2 2/3
-2 2/3 is not -5 1/3
therefore
this is not the formula
case c) f(x + 1) = -f(x)
for f(x)=-2 2/3
f(x+1)=2 2/3
2 2/3 is not -5 1/3
therefore
this is not the formula
case d) f(x + 1) =2f(x)
for f(x)=-2 2/3
f(x+1)=2*[-2 2/3]=-5 1/3
for f(x)=-5 1/3
f(x+1)=2*[-5 1/3]=-10 2/3
for f(x)=-10 2/3
f(x+1)=2*[-10 2/3]=-21 1/3
for f(x)=-21 1/3
f(x+1)=2*[-21 1/3]=-42 2/3
therefore
the answer is the option
d. f(x + 1) = 2f(x)
Answer:
3125
Step-by-step explanation:
5 x 5 x 5 x 5 x 5
25 x 5 x 5 x 5
125 x 5 x 5
625 x 5
3125
