The Gross Domestic Product measures the value of economic activity within a country. Strictly defined, GDP is the sum of the market values, or prices, of all final goods and services produced in an economy during a period of time.
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Answer:
A. 9(x + 8) = 9(x + 12)
Step-by-step explanation:
Simplify the probelm;
9(x + 8) = 9(x + 12)
Distribute;
9x + 72 = 9x + 108
Inverse opreations;
9x + 72 = 9x + 108
-9x -9x
72 = 108
This statement is not true, hence the equation has no solutions;
The one time investment of $1000 would worth $10285.72 after 40 years at 6% rate of return
What is annual compounding?
Annual compounding means that the number of times interest is compounded annually is once, compared to semiannual compounding where the interest on the investment is calculated twice a year.
The worth of the investment after 40 years means its future value after having invested $1000 for 40 years using the below formula for future value of a single cash flow:
FV=PV*(1+r)^N
FV=future worth of investment=unknown
PV=initial investment=$1000
r=rate of return=6%
N=number of years of investment=40
FV=$1000*(1+6%)^40
FV=$1000*1.06^40
FV=$1000* 10.2857179371259
FV=$10285.72
Find out more about future value on :brainly.com/question/24703884
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Answer:
61 degrees
Step-by-step explanation:
==>Given ∆MNO,
MO = 18,
MN = 6
m<O = 17°
==>Required:
Measure of <N
==>SOLUTION:
Use the sine formula for finding measure of angles which is given as: Sine A/a = Sine B/b = Sine C/c
Where,
Sine A = 17°
a = 6
Sine B = N
b = 18
Thus,
sin(17)/6 = sin(N)/18
Cross multiply
sin(17)*18 = sin(N)*6
0.2924*18 = 6*sin(N)
5.2632 = 6*sin(N)
Divide both sides by 6
5.2632/6 = sin(N)
0.8772 = sin(N)
sin(N) = 0.8772
N = sin^-1(0.8772)
N ≈ 61° (approximated)
Answer:
Step-by-step explanation:
The equation for the amount of money in an account after a certain amount is deposited and compounded after t years once per year is
![A(t)=P(1+r)^t](https://tex.z-dn.net/?f=A%28t%29%3DP%281%2Br%29%5Et)
Our A(t) = 33800, P = 4400, r = .075 and we are looking for t. Filling in:
and
![33800=4400(1.075)^t](https://tex.z-dn.net/?f=33800%3D4400%281.075%29%5Et)
Begin by dividing both sides by 4400 to get
![7.681818182=1.075^t](https://tex.z-dn.net/?f=7.681818182%3D1.075%5Et)
The only way to move that t our from its current position as an exponent is to take the natural log of both sides and follow the rules for natural logs:
![ln(7.6181818182=ln(1.075)^t](https://tex.z-dn.net/?f=ln%287.6181818182%3Dln%281.075%29%5Et)
The power rule of natural logs says we can move that exponent down in front, giving us:
![ln(7.681818182)=t*ln(1.075)](https://tex.z-dn.net/?f=ln%287.681818182%29%3Dt%2Aln%281.075%29)
Divide both sides by ln(1.075) to get
![\frac{ln(7.61818182)}{ln(1.075)} =t](https://tex.z-dn.net/?f=%5Cfrac%7Bln%287.61818182%29%7D%7Bln%281.075%29%7D%20%3Dt)
Do this division on your calculator to get
t = 28.2 years