Answer:
$3027.80
Explanation:
The compound interest formula is the following.

where
A = final amount
P = principle amount
r = interest rate / 100
n = number of compounds per interval
t = time interval
Now in our case,
A = unknown
P = $1900
r = 10.4/100
n = 12 months / year ( because the interest is compounded monthly)
t = 4.5 yrs
Therefore, the compound interest formula gives

Using a calculator, we evaluate the above to get

which is our answer!
Answer:
a ≠ 2b
Step-by-step explanation:
The given expression is


Simplifying it, we have

For the above fraction to exist, the denominator must not be equal to zero.
i.e, a-2b ≠ 0
=> a≠2b
∴ The algebraic fraction exists when a≠2b.
Answer:
Sarah makes 8 rows of squares.
Step-by-step explanation:
Given:
Number of squares she uses = 48
Number of squares in each row = 6
We need to find the number of rows she can makes.
Solution:
Let the number of rows she can make be
.
Now we can say that;
Number of rows she can make is equal to Number of squares she uses divided by number of squares in each row.
framing in equation form we get;

Hence Sarah makes 8 rows of squares.
Only a function that actually shows the word "ln" or "log" or "log to the base b" is a log function.
Taking a closer look at #3: y = log 0.25^x, we see that this can be simplified by writing the base (10) as follows: 10 10
and then using y as the exponent of the first 10 and log 0.25^x as the exponent of the second 10:
10^y = 10^(log 0.25^x)
You were not asked to do this, but this discussion may be of interest and help to you down the line.
10^y = 0.25^x
X^2+19x+48
(x+16)(x+3)
Explanation:
Two factors of 48 that added together equal 19 are 16 and 3 so that’s why they are used