Answer: the amount of interest after 3 years is $60
Step-by-step explanation:
The formula for determining simple interest is expressed as
I = PRT/100
Where
I represents interest paid on the amount of money deposited.
P represents the principal or amount of money deposited.
R represents interest rate on the deposit.
T represents the duration of the deposit in years.
From the information given,
P = $500
R = 4%
T = 3 years
Therefore,
I = (500 × 4 × 3)/100
I = $60
The answer
the question is not very clear,
its complement may be <span>Which is equivalent to 16 ^ 3/4x?
-4√16^3x
-4√16^3
-3√16^4x
-3√16^4
perhaps the </span>16 3/4x should be written as [16 ^ 3] / 4x, or 16 ^ (3 / 4x)
or - [16 ^ (3 / 4)] x
If the question is [16 ^ 3] / 4x, then none of the choices is equivalent to this
if the question is 16 ^ (3 / 4x), it is equivalent to 4x-th root of 16^3
so if the question is - [16 ^ (3 / 4)] x
so - [16 ^ (3 / 4)] x =( - 4√16^3)x it is 4th root of 16^3 times x
so the choice is -4√16^3x
Part A
Answer: The common ratio is -2
-----------------------------------
Explanation:
To get the common ratio r, we divide any term by the previous one
One example:
r = common ratio
r = (second term)/(first term)
r = (-2)/(1)
r = -2
Another example:
r = common ratio
r = (third term)/(second term)
r = (4)/(-2)
r = -2
and we get the same common ratio every time
Side Note: each term is multiplied by -2 to get the next term
============================================================
Part B
Answer:
The rule for the sequence is
a(n) = (-2)^(n-1)
where n starts at n = 1
-----------------------------------
Explanation:
Recall that any geometric sequence has the nth term
a(n) = a*(r)^(n-1)
where the 'a' on the right side is the first term and r is the common ratio
The first term given to use is a = 1 and the common ratio found in part A above was r = -2
So,
a(n) = a*(r)^(n-1)
a(n) = 1*(-2)^(n-1)
a(n) = (-2)^(n-1)
============================================================
Part C
Answer: The next three terms are 16, -32, 64
-----------------------------------
Explanation:
We can simply multiply each previous term by -2 to get the next term. Do this three times to generate the next three terms
-8*(-2) = 16
16*(-2) = -32
-32*(-2) = 64
showing that the next three terms are 16, -32, and 64
An alternative is to use the formula found in part B
Plug in n = 5 to find the fifth term
a(n) = (-2)^(n-1)
a(5) = (-2)^(5-1)
a(5) = (-2)^(4)
a(5) = 16 .... which matches with what we got earlier
Then plug in n = 6
a(n) = (-2)^(n-1)
a(6) = (-2)^(6-1)
a(6) = (-2)^(5)
a(6) = -32 .... which matches with what we got earlier
Then plug in n = 7
a(n) = (-2)^(n-1)
a(7) = (-2)^(7-1)
a(7) = (-2)^(6)
a(7) = 64 .... which matches with what we got earlier
while the second method takes a bit more work, its handy for when you want to find terms beyond the given sequence (eg: the 28th term)
When you multiply or divide two positives or two negatives, the answer is positive.
72/9 = 8
-72/(-9) = 8
Correct answer: Choice D.
B. 33 pepperoni and 20 ham slices
D. 43 pepperoni and 25 ham slices
