Answer:
17
Step-by-step explanation:
Variance=(standard deviation)^2
√289=standard deviation
Standard deviation=17
Recognize that "( ) over 2^3" means ( ) • 2^-3. Use the rule of exponents
.. (a^b)^c = a^(b•c)
= 2^-16•5^10•19^-2 • 5^-8*2^-12 • 2^28
Now, you can use the rule of exponents
.. (a^b)*(a^c) = a^(b+c)
= 2^(-16 -12 +28) • 5^(10 -8) • 19^-2
= 5^2 • 19^-2
= 5^2 / 19^2
= 25/361
18.5 you’d add 2.5 to 16 since 12.5 - 10 is 2.5 hope this helps
Answer:
Step-by-step explanation:
Use the basic simple interest formula:
P * r * t = I and put the info into a table with those variables along the top, formig the columns we need:
P * r * t = I
Acct 1
Acct 2
If we have a total of 1500 to split up between 2 accounts, we put x amount of money into one and then have 1500-x left to put into the other. We will fill those in along with the interest rates in decimal form and the time of 1 year:
P * r * t = I
Acct 1 x .04 1
Acct 2 1500-x .05 1
Looking at the formula we are told that Prt = I, so we will multiply P times r times t and fill in the I column:
P * r * t - I
Acct 1 x .04 1 .04x
Acct 2 1500-x .05 1 .05(1500-x)
The total Interest earned by the addition of the interest earned from both accounts is 69.50. So we add the interest column together and set it equal to 69.50:
.04x + .05(1500 - x) = 69.50 and
.04x + 75 - .05x = 69.50 and
-.01x = -5.5 so
x = 550
That's how much money is in the account earning 4% interest.
