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omeli [17]
3 years ago
8

You have won the state lottery. There are two ways in which you can receive your prize. You can either have $1 million in cash n

ow, or you can have $1.2 million that is paid out as follows: $300,000 now, $300,000 in one year’s time, $300,000 in two years’ time, and $300,000 in three years’ time. The interest rate is 20%. The present value of the payments over three years is:
Mathematics
1 answer:
Oxana [17]3 years ago
5 0

Answer:

pv=z/(1+R)^N

Step-by-step explanation:

I hope this helps!!!

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Two certificates of deposit pay interest that differ by 3%. Money invested for one year in the first CD earns $240 interest. The
Soloha48 [4]

a = interest rate of first CD

b = interest rate of second CD

and again, let's say the principal invested in each is $X.

\bf a-b=3\qquad \implies \qquad \boxed{b}=3+a~\hfill \begin{cases} \left( \frac{a}{100} \right)X=240\\\\ \left( \frac{b}{100} \right)X=360 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \left( \cfrac{a}{100} \right)X=240\implies X=\cfrac{240}{~~\frac{a}{100}~~}\implies X=\cfrac{24000}{a} \\\\\\ \left( \cfrac{b}{100} \right)X=360\implies X=\cfrac{360}{~~\frac{b}{100}~~}\implies X=\cfrac{36000}{b} \\\\[-0.35em] ~\dotfill\\\\

\bf X=X\qquad thus\qquad \implies \cfrac{24000}{a}=\cfrac{36000}{b}\implies \cfrac{24000}{a}=\cfrac{36000}{\boxed{3+a}} \\\\\\ (3+a)24000=36000a\implies \cfrac{3+a}{a}=\cfrac{36000}{24000}\implies \cfrac{3-a}{a}=\cfrac{3}{2} \\\\\\ 6-2a=3a\implies 6=5a\implies \cfrac{6}{5}=a\implies 1\frac{1}{5}=a\implies \blacktriangleright 1.2 = x\blacktriangleleft

\bf \stackrel{\textit{since we know that}}{b=3+a}\implies b=3+\cfrac{6}{5}\implies b=\cfrac{21}{5}\implies b=4\frac{1}{5}\implies \blacktriangleright b=4.2 \blacktriangleleft

3 0
3 years ago
For what value of a is (a,9) a solution for the equation y=2x+1?
Ivahew [28]

Answer:

Step-by-step explanation:

(a,9).......we dont know " a " (or x) but we do know y...it is 9

so sub in 9 for y and solve for x

y = 2x + 1

9 = 2x + 1

9 - 1 = 2x

8 = 2x

8/2 = x

4 = x <======= ur answer is D

5 0
3 years ago
Ted says that 7 tenths multiplied by 10 equals 70 hundredths. Is he correct? Use a place value chart to explain your answers
shutvik [7]
No he isn't..
. 7×10=7
for each time it's multiplied by ten, the decimal point goes back one.
3 0
3 years ago
12. A man planted trees on both sides of
netineya [11]

Answer:

1000 trees : Can u plz give me the brainliest answer? Plz!!!!!!!!!!!!!!!

Step-by-step explanation:

5000m divided by 5m = 1000 trees

Have a nice day!!!!!! :-)

<u>KA</u>

3 0
3 years ago
Read 2 more answers
What is the slope of the line <br><br>​
prisoha [69]
Answer :

The slope of the line is 0


3 0
3 years ago
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