Answer:
The answer is 16 years.
Explanation:
The formula for calculating the value of an investment that is compounded annually is given by:
![V(n)=(1+R)^nP](https://tex.z-dn.net/?f=V%28n%29%3D%281%2BR%29%5EnP)
Where:
is the number of years the investment is compounded,
is the annual interest rate,
is the principal investment.
We know the following:
![25000=(1+0.06)^n \times 10000](https://tex.z-dn.net/?f=25000%3D%281%2B0.06%29%5En%20%5Ctimes%2010000)
And we want to clear the value <em>n</em> from the equation.
The problem can be resolved as follows.
<u>First step:</u> divide each member of the equation by
:
![\frac{ 25000}{10000}=(1+0.06)^n \times \frac{ 10000}{10000}](https://tex.z-dn.net/?f=%5Cfrac%7B%2025000%7D%7B10000%7D%3D%281%2B0.06%29%5En%20%5Ctimes%20%5Cfrac%7B%2010000%7D%7B10000%7D)
![2.5=(1.06)^n](https://tex.z-dn.net/?f=2.5%3D%281.06%29%5En)
<u>Second step:</u> apply logarithms to both members of the equation:
![log(2.5)=log (1.06)^n](https://tex.z-dn.net/?f=log%282.5%29%3Dlog%20%281.06%29%5En)
<u>Third step:</u> apply the logarithmic property
in the second member of the equation:
![log(2.5)=n.log (1.06)](https://tex.z-dn.net/?f=log%282.5%29%3Dn.log%20%281.06%29)
Fourth step: divide both members of the equation by ![log1.06](https://tex.z-dn.net/?f=log1.06)
![\frac{log(2.50)}{log (1.06)} =n](https://tex.z-dn.net/?f=%5Cfrac%7Blog%282.50%29%7D%7Blog%20%281.06%29%7D%20%3Dn)
![n= 15.7252](https://tex.z-dn.net/?f=n%3D%2015.7252)
We can round up the number and conclude that it will take 16 years for $10,000 invested today in bonds that pay 6% interest compounded annually, to grow to $25,000.
Answer:
b. supply, raising the equilibrium price and lowering the equilibrium quantity in the market for artificially sweetened beverages.
Explanation:
In the case when the government impose the tax of 20% on sweetened beverages so here the price should be increased but at the same time the quantity is decreased as the supply curve shifted to the leftward where the demand curve is not impacted at all due to this things the price increased and the demand is decreased
Therefore the option b is correct
Answer:
B. the set of plans for product, price, place, and promotion that the marketer will use
Sometimes they don’t want loose change in their wallets, pockets, etc. Coins are pretty heavy as well.
Answer: Please refer to Explanation
Explanation:
M1 is the narrowest definition of money supply. It refers to the most liquid or instruments and includes actual currency as well as money in checking accounts.
M2 is the next type of of money. It includes EVERYTHING in M1 and then also includes savings deposits, time deposits, and money market funds.
Now,
Classifying the above will go as,
Gold - Neither M1 or M2
Traveler's check - M1 and M2
Balance in savings accounts - M2 only
Money market account balance - M2 only
Credit cards - Neither M1 or M2
Common stock - Neither M1 or M2
Certificates of deposit - M2 only
Currency - M1 and M2
Balance in Checking accounts - M1 and M2
It is worthy of note that there is no M1 only. This is because as stated in the definition, all M1s are in M2.