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Anarel [89]
2 years ago
10

suppose you have a total of $4700 to invest in stocks and bonds. you are going to invest x dollars in stocks and y dollars in bo

nds. suppose stocks earn 4.5% and bonds earn 3% and that combined interest earned from both investments after one year is $180. Write a mathematical expression for the total amount of money invested.
Mathematics
1 answer:
kirill115 [55]2 years ago
8 0

The amount invested in stocks is $2600 and the amount invested in bonds is $2100.

The total sum of money I invested is $4700. I invest x in stocks and y in bonds. This can be represented with this equation:

x + y = 4700 equation 1

The total interest I earned is $180. The interest rate on stocks is 4.5% and the interest rate on bonds is 3%. This can be represented with the equation

0.045x + 0.03y = 180 equation 2

These two equations are simultaneous equations and can be solved using the elimination method.

x + y = 4700 equation 1

0.045x + 0.03y = 180 equation 2

The first step is to multiply equation 1 by 0.045

0.045 + 0.045y = 211.50 equation 3

The second step is to subtract equation 2 from 3

31.50 = 0.015y

Divide both sides by y

y = $2100

To determine the value of x, substitute for x in equation 1

x + $2100 = $4700

x = $4700 - $2100

x = $2600

To learn more about simultaneous equations, please check: brainly.com/question/23589883?referrer=searchResults

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3 years ago
X<br> For f(x)=0.01(2) , find the average rate of change from x=3 to x=8.
NikAS [45]
  • Answer:

Option b. 0.496

  • Step-by-step explanation:

we know that

f(x)=0.01(2^{x})

The average rate of change is equal to

\frac{f(b)-f(a)}{b-a}

where

a=3

b=8

f(a)=f(3)=0.01(2^{3})=0.08

f(b)=f(8)=0.01(2^{8})=2.56

Substitute

\frac{2.56-0.08}{8-3}

\frac{2.48}{5}

0.496

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2 years ago
(6x2 + 3x) and (2x2 + 6x)<br> Use horizontal format
balu736 [363]
(12 + 3x) and (4 + 6x)
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3 years ago
Jacob used 1/7 of a liter of water to fill 1/9 of the fish aquarium. How many liters of water are needed to fill the aquarium?
laila [671]
Jacob used 1/7 of a liter of water.
He needs to fill 1/9 of the fish aquarium.
Find how many liters would Jacob need to fill the aquarium
=> Let x = liters of water need to fill the aquarium
=> x/1 = 1/7 divided by 1/9
=> x = 1/7 x 9/1
=> x = 9/7, since this is an improper fraction, let’s convert it to mixed fraction
=> x  = 1 and 2/7
So, Jacob need 1 and 2/7 liter of water to fill the whole aquarium.



3 0
3 years ago
Please help and thank you​
ziro4ka [17]

Answer:

Step-by-step explanation:

2)  

x + 14 \frac{13}{25}  =  -0.87

x + \frac{363}{25} = - \frac{87}{100}

x + \frac{1452}{100} = - \frac{87}{100}

x  = - \frac{87}{100} - \frac{1452}{100}

x = - \frac{1539}{100}

3)

x -8 \frac{5}{6} = 1.5

x - \frac{53}{6} = \frac{9}{6}

x =  \frac{9}{6} + \frac{53}{6}

x = \frac{62}{6}

x = \frac{31}{3}

4)

x - \frac{7}{12} = - 7 \frac{7}{16}

x - \frac{28}{48} = - \frac{119}{16}

x = - \frac{357}{48} + \frac{28}{48}

x = - \frac{329}{48}

5)

\frac{8}{9} - x = 6 \frac{1}{15}

\frac{8}{9}  = \frac{91}{15} + x

\frac{40}{45} - \frac{273}{45} = x

- \frac{233}{45} = x

x = - \frac{233}{45}

6)

-33.754 - x = 28.05

-33.754  - 28.05 = x

- 61.804 = x

x = - 61.804

7 0
3 years ago
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