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IgorC [24]
3 years ago
9

Four years after opening an account that paid simple interest of 4.25% annually, a depositor withdrew the $2,380 in interest ear

ned. How much money was left in the account? $
Mathematics
1 answer:
satela [25.4K]3 years ago
7 0

Answer:

Step-by-step explanation:

In order to figure out how much money was left in the account after the interest was withdrawn, we have to first find out how much money was initially deposited to earn that amount of interest! The means to find that initial investment is found in the simple interest formula

prt = I, where

p is the initial investement,

r is the interest rate in decimal form,

t is the time in years, and

I is the interest earned. Notice that we have all those things but the p.

Filling in:

p(.0425)(4) = 2380 and

.17p = 2380 so

p = 14000

That means that 14000 was initially invested. If the depositor withdrew the 2380, then

14000 - 2380 is the amount left in the account, namely, $11620

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2 years ago
The pep club and honor society are joining forces to raise money for school improvements.
Fittoniya [83]

Answer:

Part a) The graph in the attached figure

Part b) see the explanation

Part c) see the explanation

Step-by-step explanation:

Let

x ----> represent pep club donations

y ---> represent donations raised by the honor society

we have

x+y\geq 500 ----> inequality A

The solution of the inequality A is the shaded area above the solid line x+y=500

x\geq 100 ----> inequality B

The solution of the inequality B is the shaded area at right of the solid line x=100

Part a) Graph the system of inequalities

using a graphing tool

The solution of the system of inequalities is the shaded area

Remember that the variables x and y cannot be a negative number

see the attached figure

Part b) What does the point (300,100) represent? Is it a viable solution?

The point (300,100) means that the donations raised for pep club  was $300 and the donations raised by the honor society was $100

The point  (300,100) is not a viable solution, because the point not belong to the shaded area of the solution of the system of inequalities

<u><em>Verify</em></u>

If the ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequality  

For x=300, y=100  

<em>Inequality A</em>

300+100\geq 500      

400\geq 500  ----> is not true

The ordered pair not satisfy the inequality A

therefore

The point (300,100) is not a viable solution  

Part c) What does the point (500,200) represent? Is it a viable solution?

The point (500,200) means that the donations raised for pep club  was $500 and the donations raised by the honor society was $200

The point  (500,200) is a viable solution, because the point belong to the shaded area of the solution of the system of inequalities

<u><em>Verify</em></u>

If the ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequality  

For x=500, y=200  

<em>Inequality A</em>

500+200\geq 500      

700\geq 500  ----> is true

The ordered pair satisfy the inequality A

<em>Inequality B</em>

500\geq 100 ---> is true

The ordered pair satisfy the inequality B

therefore

The point (500,200) is a viable solution  

3 0
3 years ago
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