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Leviafan [203]
3 years ago
10

You have already invested $550 in a stock with an annual return of 11%.  How much more should be invested at 15% so that the ret

urn on the total investment is 12%?
Mathematics
2 answers:
Naya [18.7K]3 years ago
6 0

Solution: Let x be the amount to be invested (15%).

Then,

x*0.15 + 550*0.11 = (x+550)*0.12

x*0.15 - x*0.12 = 550*0.12 - 550*0.11

0.03x = 550*(0.12-0.11)

0.03x = 550*0.01

0.03x = 5.5

x =5.5÷0.03

x=183.33

Answer: $183.33 more to be invested for 12 % total return.

klemol [59]3 years ago
5 0

Answer:

You need to invest $183.3 in a stock with an annual return of 15% so that the return on the total investment is 12%.

Step-by-step explanation:

Consider the provided information.

You have already invested $550 in a stock with an annual return of 11%. The interest earn will be: 550\times \frac{11}{100}

Let x amount invested at 15%, the interest earn will be: x\times \frac{15}{100}

It is given that we want that the return on the total investment is 12%

This can be written as

550\times \frac{11}{100} +x\times \frac{15}{100}=\frac{12}{100}(x+550)

Now solve the above equation for x.

550\times 0.11+x\times 0.15=0.12(x+550)

60.5+0.15x=0.12x+66

0.15x-0.12x=66-60.5

0.03x=5.5

x=183.333..

Hence, you need to invest $183.3 in a stock with an annual return of 15% so that the return on the total investment is 12%.

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Flying against the wind, an airplane travels 7520 kilometers in 8 hours. Flying with the wind, the same plane travels 6500 kilom
bezimeni [28]

Answer:

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Given that against the wind, airplane travels 7520 km in 8 hours.

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Against the wind, speed = (u -v ) km/h

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(u-v) = \dfrac{7520}{8} km/h\\(u-v) = 940 km/h ..... (1)

Given that with the wind, airplane travels 6500 km in 5 hours.

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So, the answers are:

<em>Rate of plane in still air = 1120 km/h</em>

<em>Rate of wind = 180 km/h</em>

<em></em>

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