Step-by-step explanation:
The Nth power xN of the integer x was initially specified as x multiplied by itself, before the total number N is the same. By means of different generalizations, the concept may be generalized to any value of N that is any real number.
(2) The logarithm (to base 10) of any number x is defined as the power N such that
x = 10N
(3) Properties of logarithms:
(a) The logarithm of a product P.Q is the sum of the logarithms of the factors
log (PQ) = log P + log Q
(b) The logarithm of a quotient P / Q is the difference of the logarithms of the factors
log (P / Q) = log P – log Q
(c) The logarithm of a number P raised to power Q is Q.logP
log[PQ] = Q.logP
Answer:
Let X be the number of customer purchased coffee
Let Y be the number of customer purchased donuts
Then is the number of customer purchased both coffee and donuts
is the number of customer purchased both coffee or donuts
<em><u>The Number of customers purchased only Coffee:</u></em>
Number of customers purchased only donuts =n(X -Y)
n(X-Y) = 59 -16
n(Y - X) = 43
<em><u>The Number of customers purchased only donuts:</u></em>
Number of customers purchased only donuts =n(Y -X)
n(Y - X) = 39 -16
n(Y - X) = 23
<u>The Number of customers did not purchase either of these items:</u>
Number of customers did not purchase either of these items =
First lets find
= = 28
Answer:
16.42 years
Step-by-step explanation:
Use the Future value formula; FV = PV (1+r)^t
PV= Initial amount deposited, 500
r= interest rate or discount rate, 2.5%
t = total duration of the investment, ?
FV= future value of account, 750
Plug in the numbers into the formula
750 = 500* (1+0.025)^t
divide both sides by 500
750/500 = 1.025^t
put ln on both sides
ln 1.5 = ln
ln 1.5 = t ln 1.025
0.4054651 = 0.0246926 t
Divide both sides by 0.0246926
0.4054651/0.0246926 = t
t = 16.42
16.42 years
Answer:
99
Step-by-step explanation:
5x^2 -4x -9
5(-2)^2 -4(-2) -9
-10^2 +8 -9
100-1
99