Answer:

Step-by-step explanation:

Rewrite the expression

Add

Therefore,
is equal to
.
I hope this helps!
Answer:
~96.6
Step-by-step explanation:
120/124 is 30/31 or 60/62 or 96.6/99.82
The Compound Interest of 10400 at 12.7% for 4 years is 6378.
The principal amount is given as 10400.
The rate of interest is given as 12.7%.
The time period to be calculated is given as 4 years.
The compound interest for the given above is to be calculated.
<h3>What is
compound interest?</h3>
Compound interest is the interest that we earn both on the principal amount and the interest we earn.
The formula used to calculate compound interest is:
![P [ (1 + \frac{R}{100} )^n - 1 ]](https://tex.z-dn.net/?f=P%20%5B%20%281%20%2B%20%5Cfrac%7BR%7D%7B100%7D%20%29%5En%20-%201%20%5D)
Where P = principal amount, R = rate of interest, and n = number of years.
We have,
P = 10400
R = 12.7%
n = 4 years
Compound interest:
![P [ (1 + \frac{R}{100} )^n - 1 ]\\\\10400 [ (1 + \frac{12.7}{100} )^4 - 1 ]](https://tex.z-dn.net/?f=P%20%5B%20%281%20%2B%20%5Cfrac%7BR%7D%7B100%7D%20%29%5En%20-%201%20%5D%5C%5C%5C%5C10400%20%5B%20%281%20%2B%20%5Cfrac%7B12.7%7D%7B100%7D%20%29%5E4%20-%201%20%5D)
Now,
10400 [ ( 1 + 0.12.7 )^2 - 1 ]
10400 [ 1.127^4 - 1 ]
10400 [ 1.61322 - 1 ]
10400 x 0.6132
6377.56
Rounding to the nearest whole number.
We have,
Compound Interest = 6378.
Thus the Compound Interest of 10400 at 12.7% for 4 years is 6378.
Learn more about Compound Interest here:
brainly.com/question/13155407
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Answer:
53.33% probability that one woman and one man will be chosen to be on the committee
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The order in which the members are chosen is not important, so we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.

What is the probability that one woman and one man will be chosen to be on the committee?
Desired outcomes:
One woman, from a set of 2, and one man, from a set of 4. So

Total outcomes:
Two members from a set of 2 + 4 = 6. So

Probability:

53.33% probability that one woman and one man will be chosen to be on the committee
Given equation, y = – 1.3(x + 3)2 – 9 is in slope intercept form.
Step-by-step explanation:
Slope intercept form standard formula:
y = mx + c
where,
y= y intercept
x= x intercept
m = slope
c = constant
We are given:
y = - 1.3(x + 3)2 - 9
y = - 2.6x + 7.8 - 9
y = -2.6x -1.2
So,
Slope = m = -2.6
constant = 1.2