9514 1404 393
Answer:
- interest: $63
- balance: $9063
Step-by-step explanation:
After 6 months, the interest accrued is ...
I = Prt
I = $9000·0.014·(6/12) = $63
This is added to the principal to get the balance at that point in time.
$9000 +63 = $9063
__
The interest earned in the first 6 months is $63. The balance after 6 months is $9063.
_____
The compound interest formula will give you the same result for one compounding period. It tells you the balance is ...
A = P(1 +r/n)^(nt)
where n is the number of times interest is compounded in a year (2), and t is the number of years (1/2). For annual rate r = 1.4%, this is ...
A = $9000(1 +0.007)^(2×1/2) = $9000·1.007 = $9063
Answer:
Option C. 10.5(12 + x) square feet
Option E. (126 + 10.5x) square feet
Step-by-step explanation:
step 1
Find the area of the original living room
we know that
The area of the original living room is equal to
we have
substitute
step 2
Find the new area of the living room
The length of the room is being expanded by x feet
so
we have
The new area is
The expanded form of the expression is
Apply distributive property
Answer:
Answer 1. 5 Answer 2. 60 Answer 3. 37
Step-by-step explanation:
Answer:
C and E
Step-by-step explanation:
To answer this question, we plug in the X values of the coordinates into the equation to see if they'll give us the corresponding Y value.
(X, Y)
Example:
Y = 5X
6 != 5 * 3
We do this for every coordinate point. If the problem doesn't make sense, it doesn't fall on the line. Let's test every one of these.
B. (0, 1)
1 != 5 * 0
C. (3, 15)
15 = 5 * 3
D. (4, 2)
2 != 5 * 4
E. (-1, -5)
-5 = 5 * -1
F. (-1, 5)
5 != 5 * -1
* For those who don't know, the != is how to say "not equal to" in computer science.
The thing you have to figure out about this is the distance for each person and the time it takes for the biker to meet the runner. The rates we are told. The formula is distance = rate times time. Let's do that for the runner first. His rate is 6 so the formula so far is d = 6t. Now let's work on the time. If the biker left an hour later than the runner, then the runner has been running an hour more than the biker. Therefore, the runner's time is t + 1. Hold off on the distance part til we do for the biker what we just did for the runner. The biker's rate is 14, and we already decided that his time is t. His equation is d = 14t. Now at the exact moment the biker meets the runner their distances are the same. So if the equation for the runner is d = 6t + 6 and the equation for the biker is d = 14t and their distances are the same, by the transitive property, their rates and times are the same as well, meaning we set them equal to each other and solve for t. 6t + 6 = 14t. 6 = 8t and t = 3/4. This means that it took 45 minutes for the biker to meet the runner.
