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: it’s 26
Step-by-step explanation:
29.90 divided by 1.15= 26
Lets approach this problem differently
15 gallons ....you drive ......330 miles lets divide both numbers by 15 to find out how much you can go with 1 gallon
1 gallon..... you drive.....330/15=22
you car goes 22 miles per 1 gallon
if you put 20 gallons
20*22=440 miles
Answer: A. 664
Step-by-step explanation:
Given : A marketing firm is asked to estimate the percent of existing customers who would purchase a "digital upgrade" to their basic cable TV service.
But there is no information regarding the population proportion is mentioned.
Formula to find the samples size , if the prior estimate to the population proportion is unknown :

, where E = Margin of error.
z* = Two -tailed critical z-value
We know that critical value for 99% confidence interval =
[By z-table]
Margin of error = 0.05
Then, the minimum sample size would become :

Simplify,

Thus, the required sample size= 664
Hence, the correct answer is A. 664.
Answer:
165.628° (The 8 has a line over it signalizing that it repeats forever, but I didn't know how to put it in.)
Step-by-step explanation:
Since 165 is whole number, it is a full degree. Since each minute is equal to 1/60 degrees, you need to multiply 37 by 1/60. Since each second is equal to 1/3600 degrees, multiply it 1/3600 by 44. Add them all together.
165 + 37 x 1/60 + 44 x 1/3600
simplify: 74533/450
Convert the fraction into a decimal by dividing the numerator by the denominator and you get 165.628° (with a repeating 8).