9514 1404 393
Answer:
q - p
Step-by-step explanation:
For complementary angles B and C, ...
cos(C) = sin(B) = p
sin(C) = cos(B) = q
Then the difference is ...
sin(C) -cos(C) = q - p
Alright, so you have the basic formula- good.
You have the A value (400), the interest rate r (7.5% -> .075 in decimal), and the final P value (8500). So, we only need to solve for t.
8500 = (400)(1+.075)^t
/400 /400
21.25 = 1.075^t
logarithms are the inverse of exponents, basically, if you have an example like
y = b^x, then a logarithm inverts it, logy(baseb)=x
Makes sense if you consider a power of ten.
1000 = 10^3
if you put logbase10(1000), you'll get 3.
Anyways, though, to solve the problem make a log with a base of 1.075 in your calculator
log21.25(base 1.075) = t
also, because of rules of change of base (might want to look this up to clarify), you can write this as log(21.25)/log(1.075) = t
Thus, t is 42.26118551.
Rounded to hundredths, t=42.26
The mean of a dataset is the sum of all data elements divided by the count of the elements.
The location of the 6th score relative to the mean is 5 points below the mean
Let:
<em> Mean</em>
<em> 5 scores</em>
<em> 6th scores</em>
Given that:
The 5 scores that are 1 above the mean implies that:
The mean of a dataset is calculated using:
So, we have:
Open brackets
Multiply both sides by 6
Make b the subject
This means that the 6th score is 5 points below the mean
Read more about mean at:
brainly.com/question/17060266
5/4 is the constant of proportionality
Simple
scientific notation
8.009 × 10-3
