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sdas [7]
3 years ago
12

you invested $12000 part of it in stock that paid 14% annual interest. however,the rest of the money suffered a 6% loss. if the

total annual income from both investments was $680, how much was invested at each rate?
Mathematics
1 answer:
Tamiku [17]3 years ago
6 0

Total investment = 12,000

Let x be invested in Stock at a return of 14%

The rest (12,000-x) invested at a loss of 6%

0.14*x - 0.06*(12,000-x) = 680

0.14x -720 +0.06x = 680

0.2x = 1400

x = 7000

So $7,000 was invested at a rate of 6% and  $5,000 (12000-7000) was invested at a loss of 6%

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Dimas [21]
The function notation f(x)=2x-4 means replace the x on the right-hand side with the value in parentheses on the left.
For example, f(y)=2y-4; f(4)=2(4)-4=4; f(1)=2(1)-4=-2 and so on.
The same principle applies to g(x), for example
g(2)=4(2^2)-3=13,
g(x+1)=4(x+1)^2-3=4(x^2+2x+1)-3=4x^2+8x+4-3=4x^2+8x+1
and so on.

(g of f)(x) is another way to write g(f(x)), therefore
g(f(x))
=g(2x-4)   [because f(x)=2x-4
=4(2x-4)^2-3
=4(4x^2-16x+16)-3
=16x^2-64x+64-3
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7 0
2 years ago
Read 2 more answers
Help pls ! I’ll mark brainliest!
kogti [31]

Answer:

The first and third answers are correct

Step-by-step explanation:

First answer=11/4=2.75

Second answer=4/9=0.444...

Third answer=4/3=1.333...

Fourth answer=5/9=0.5555555556

2/3=0.66666666667

5 0
2 years ago
Read 2 more answers
14. Which of the following pairs of equation are equivalent
Bogdan [553]

Answer:

the second equatin

2x+(-6)=14 that give x=10 and the other 2x=14+6 gives x= 10 so this pair is equal

5 0
2 years ago
It takes Kay 20 minutes to drive to work traveiling 45 mph. Two minutes after she left home this morning, her husband, Dan, star
BARSIC [14]

Answer:

Kay's husband drove at a speed of 50 mph

Step-by-step explanation:

This is a problem of simple motion.

First of all we must calculate how far Kay traveled to her job, and then estimate the speed with which her husband traveled later.

d=vt

v=45 mph

t= 20 minutes/60 min/hour = 0.333 h (to be consistent with the units)

d= 45mph*0.333h= 15 miles

If Kay took 20 minutes to get to work and her husband left home two minutes after her and they both arrived at the same time, it means he took 18 minutes to travel the same distance.

To calculate the speed with which Kate's husband made the tour, we will use the same initial formula and isolate the value of "V"

d=vt; so

v=\frac{d}{t}

d= 15 miles

t= 18 minutes/60 min/hour = 0.30 h  (to be consistent with the units)

v=\frac{d}{t}=\frac{15 miles}{0.3 h}=50mph

Kay's husband drove at a speed of 50 mph

8 0
3 years ago
4x – 7y + 3z - 10<br><br> What's the coefficient of the 2nd term?
Illusion [34]
That would be 7 because it is placed in front of the y

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