Step-by-step explanation: The base of the power in the original equation becomes the base of the log. So we have 
.
Next, the exponent in the original equation goes on the other side of the equation and finally, the result in the original equation goes inside the log.
So we have 
which is 3² = 9 written in logarithmic form.
This can also be switched around to read 
.
So the first choice will be your answer.
My work is also show in the image attached,
I just didn't switch it.
If she deposited $600 and had $621.60 after four years, then she earned: $621.60 - $600 = $21.60 in four years. It means in one year she earned $21.60 ÷ 4 = $5.40. Now we have to find out how many percent of $600 is $5.40:
$5.40 = x% from $600
5.4 = x/100 * 600
5.4 = 600x/100 / * 100 (both sides)
540 = 600x / ÷ 600 (both sides)
x = 0.9
So the interest rate was 0.9% annually.
Now we have to find out how much is 0.9% from $1100:
$1100 * 0.9% =
= 1100 * 9/1009 =
= 9900/1000 =
= 9.9
It means in one year she would earn $9.90. After 7 years she would earn $9.90 * 7 = $69.30, so she would have in her account:
$1100 + $69.30 = <u>$1169.30</u>
Answer:
To plot point A, you would count over to the left six places on the x-axis. Then, count up two places on the y-axis.
Answer:
7.405882353 years
Step-by-step explanation:
Simple interest is
A = P(1+rt)
Where A is the amount in the account
P is the principle invested
r is the rate and
t is the time
6593.75 = 5000( 1+ .0425*t)
Divide each side by 5000
6593.75/5000 = ( 1+ .0425*t)
1.31475 = ( 1+ .0425*t)
Subtract 1 from each side
.31475 = .0425t
Divide each side by.0425
.31475/.0425 = .0425t/.0425
7.405882353 = t
7.405882353 years
