The equation (5X-15=-75 is equal to B D and E because they all have -75 at they end of them!
10/12 = 5/6 probability that she will not win on the next roll
Answer:
x = 2.81 and 2.096
Step-by-step explanation:
Given the expression
10(2^x) + 7(3^x) = 6^x + 70
This can also be expressed as;
10(2^x) + 7(3^x) = (2*3)^x + 70
10(2^x) + 7(3^x) = 2^x*3^x + 70
Let a = 2^x and b = 3^x
10a + 7b = ab + 70
10a + 7b - ab = 70
10a-ab + 7b - 70 = 0
a(10-b)+7(b-10) = 0
a(10-b)-7(10-b) = 0
a-7 = 0 and 10-b = 0
a = 7 and b = 10
Since a = 2^x
7 = 2^x
log 7 = log2^x
log7 = xlog2
x = log7/log2
x = 2.81
Similarly
10 = 3^x
log 10 = log 3^x
log 10 = xlog3
x = log 10/log 3
x = 1/0.4771
x = 2.096
Hence the values of x that satisfies the equation are 2.81 and 2.096
Hey! Good Morning! (if its morning for you) Easy way to figure these things out is to just graph them an take a look. Since we know this is a parallelogram, we can use the basic rules of them to know for sure where that one last point is. (Or we can use the first way, your choice) So just by graphing those points and looking at the incomplete stricter it created,
We can know the last point lies at (0, 2) (I put this spaced so you don't have to read my entire message lol) Hope this helps and good luck!
Answer:
Future value = $755.61 ( to the nearest cent)
Step-by-step explanation:
The formula for calculating the future value of an invested amount compounded periodically for a number of years is given as:
where:
FV = future value = ???
PV = present value = $575
r = interest rate in decimal = 5.5% = 0.055
n = number of compounding periods per year = quarterly = 4
t = time of investment = 5 years
∴ 
∴ Future value = $755.61 ( to the nearest cent)
