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
Answer:
A
Step-by-step explanation:
6 friends
Mean - 10
Median - 9.5
Range - 14
3 friends watched 12, 13, and 18 movies.
Let's find the sum, this will help us find the total number of movies the other 3 friends watched.
12 + 13 + 18 = 43
The mean is all their movies added toether, divided by the number of friends.
m = number of movies the other friends watched.
(43 + m) / 6 = 10 Multiply each side by 6
43 + m = 10 * 6
43 + m = 60 Subtract 43 from each side
m = 60 - 43
m = 17
So we know the total movies the other friends watched is 3.
A. 4+6+7 = 17
B. 4+4+7 = 15
C. 5+8+9 = 22
D. 2+3+5 = 10
We know the answer is A.
We can check it by looking at the Median, the median is the middle number, if there are an even number of samples, you add the 2 middle numbers together and divide by 2.
4, 6, 7, 12, 13, 18
So 7+12 = 19
19/2 = 9.5
So we know for sure A is correct!
.457/100 .797/100 .815/100 .242/100
When you estimate, you round each number, the add.
We round them to
700+620, which is 1320
So our non estimated answer is 1323
But our estimated answer is 1320
Answer:
(8, 0 )
Step-by-step explanation:
under a reflection in the line y = - x
a point (x, y ) → (- y, - x ) , then
(0, - 8 ) → (8, 0 )
