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Answer: $135
Explanation:
First find the future value of the proceeds.
= 10,000 * (1 + 5%)⁷
= $14,071
The monthly payments are equal so X is an annuity and as the payment is made immediately, this is an Annuity due.
Convert the interest rate into monthly figure:
= 3%/12
= 0.25%
Present value of annuity = Annuity * (( 1 - (1 + r)^-n ) / r) * (1 + r)
14,071 = Annuity * ((1 - (1 + 0.25%) ⁻¹²⁰) / 0.25%) * (1 + 0.25%)
14,071 = Annuity * 103.82
Annuity = 14,071 / 103.82
= $135.53
= $135
Answer:
n = ㏒ P ÷ ㏒ (1.08)
Explanation:
Compound interest rate
A = P × 
where
P = principal amount (the initial amount you borrow or deposit)
r = annual rate of interest (as a decimal)
A = amount of money accumulated after n years, including interest.
n = number of years
Since we want the principle amount to double i.e., A = 2P
put this in above equation
2P = P ×
divide both sides by P, we get
P =
put r = 0.08
P = 
P = 
Taking log on both sides
㏒ P =㏒
㏒ P = n ㏒ (1.08)
n = ㏒ P ÷ ㏒ (1.08)
Answer:
If the effective tax rate increases then the net savings coming from investments will get lowered as a result the investment will have higher payback period (The increase in effective tax rate would lower demand of the product which means there is decline in net saving arising from the sale of the product). Likewise this decrease in annual net savings will also decrease the internal rate of return which shows that their are increased chances of project rejections. The NPV method is based on cash flows and relevant costing just like IRR and payback method but the only difference is that it assumes that the cash earned would be reinvested at cost of capital. The NPV will also decrease due to increased effective tax rate.
Answer:
Searching for 'electronic music schools' was the signal to target you with that ad.
Explanation:
Searching engines are a whole discipline right now. The power to offer what you probably like increase sales on internet.
When we search something, there's algorithms that save the key words you used. This is immediately is linked to the ad's algorithms to offer you some service or product related.
That's how Google, for example, offer you products related with your key words searched it before. The same happens with Spotify, algorithms save your key words (artist, specific songs, albums...) to offer you in the future a whole list related with your previous search.
