Math Question!!! HELPPPP!!!?

Question

Marty has $1000 to invest. part of this he invests in Stock a part in Stock b.

At the end of the year stock a pays a 5% dividend and stock b a 10% dividend.

If his total dividends from the 2 stocks are $80 that year, how much did he invest in Stock a?

I have nooooo clue how to set it up to even begin solving!!!!~

Help please!!!~

Thanks so much everyone! the correct answer is $400, according to the back of the book. (lol) But now I actually understand it for my test tomorrow!!!~ Thanks soooo much!!!~

Answer 1

say he invests x in stock a
and then 1000-x in stock b

total dividend = dividend from stock a + div from stock b
80 = .05(x) +.1(1000 -x)
Solve for x
that will be the answer

Answer 2

First, consider the information:

There are $1,000 to invest. Lets say amount x was invested in Stock A and therefore 1000-x was invested in Stock B.

$80 dollars is the total dividend; therefore, he earns $80 dollars from 5% on x amount invested in Stock A plus 10% on 1000-x amount on Stock B.

The resulting formula:

80 = .05(x)+.1(1000-x)
= .05x+100-.1x
80 = 100-0.05x
-0.05x = -20
-0.05x/-0.05 = -20/-0.05
x = 400
1000-x = 600

Therefore, he invested $400 in stock A.

Answer 3

The dividend from the investment in stock A is 0.05A.
The dividend from the investment in stock B is 0.10B.

Total dividend from A and B is 0.05A + 0.10B = 80
Total invested in A and B is A + B = 1000

There's your equations,. I'll leave the rest for you to do

Answer 4

a + b = 1000

a + 0.05*a = a(1 + 0.05)
= a*1.05
= 1.05*a (worth Stock-A by year's end)

b + 0.10*b = b(1 + 0.10)
= b*1.10
= 1.10*b (worth Stock-B by year's end)

now, since a + b = 1000 and since
total dividends = 80 by year's end, it follows that
1.05*a + 1.10*b = 1080.

But the first equation at the top is the same as saying that
b = 1000 - a.

Substituting 1000-a into
1.05*a + 1.10*b = 1080 gives us
1.05*a + 1.10*(1000-a) = 1080 which is the same as
1.05*a + 1100 - 1.10*a = 1080 which is the same as
1.05*a - 1.10*a = - 20 which is the same as
1.10*a - 1.05*a = +20 which is the same as
(1.10-1.05)*a = 20 which is the same as
0.05*a = 20 which is the same as
a = 20/0.05 or, as a banker would say:

investment in a = $400 <<== ANSWER!!

(and b = $600).

Answer 5

use pascals triangle to discover the coefficient of the fourth term fro the growth of (x + a million)^6 =a million(x)^6(a million)^0 +6 (x)^5(a million)^a million +15(x)^4(a million)^2 + 20(x)^3(a million)^3 + 15 (x)^2(a million)^4 +6 (x)^a million(a million)^5 +a million(x)^0(a million)^6 =a million+ 7776x^5 + 50625x^4 + 8000x^3 + 225x^2 + 6x + a million =coefficient of the forth term is 8000 what proportion techniques can 4 apples 3 banana 5 kiwi and eight plums be allotted to twenty scholars it each and every is to get carry of one piece of fruit? so in complete you have 20 end result =1st way: distribute each and every fruit to each student =2d way would desire to be: divide each and every fruit into products and distribute them between the scholars 3.) in the event that they handshake as quickly as then one hundred handshakes occurred so each and every member handshakes 10 situations, as a result 10 contributors handshakes one hundred situations.

Answer 6

anymore info? because there are 2 possible answers

Answer 7

.05(x)+.1(1000-x)=80
_