The thirty-second term is 143
Further explanation:
As it is already given that the given sequence is an arithmetic sequence
We have to find the common difference first
So,


The common difference is 5.
And first term is -12
The explicit formula for arithmetic sequence is:

Putting the values in the formula

Putting n=32 in explicit formula

The thirty-second term is 143
Keywords: Common difference, Arithmetic Sequence
Learn more about arithmetic sequence at:
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So is 4 floors / 10 seconds
If you have 60 seconds you can multiple 10 by 6 because 10×6=60
so you also have to multiple 4 by 6
4×6=24
and because it's descending it's 100-24= 76
Answer:
$1,179
Step-by-step explanation:
Lets use the compound interest formula provided to solve this:

<em>P = initial balance</em>
<em>r = interest rate (decimal)</em>
<em>n = number of times compounded annually</em>
<em>t = time</em>
<em />
First, lets change 2.6% into a decimal:
2.6% ->
-> 0.026
Since the interest is compounded quarterly, we will use 4 for n. Lets plug in the values now:


The account balance after 10 years will be $1,179
Answer:
The constant of proportionality is 2
The equation is y=2x
Step-by-step explanation:
The unit price or unit rate is $2
Let y represent the price of tomatoes, then the price of x tomatoes is
dollars.
This represents a direct variation.
This equation is of the form
, where k=2 is the constant of proportionality.
Answer:
If only Jim purchased a cup of coffee, we will subtract its cost from the total;
9.50 - 1.00 = 8.50
Assuming that the two purchased nothing else for breakfast, and that the cost of an egg scramble was the same for both, let's call the price of the egg scramble x.
Since they both bought eggs, then 2x = 8.50
x = $4.25, the price for each egg scramble