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Karolina [17]
3 years ago
12

Translate the verbal statements into a system of linear equations: Fatima invested a total of $1000 in two simple-interest bank

accounts. One account paid 5% annual interest; the other paid 6% annual interest. The total amount of interest she earned after 1 year was $56
Mathematics
1 answer:
mixas84 [53]3 years ago
6 0

Answer:

Step-by-step explanation:

Translate the verbal statements into a system of linear equations: Fatima invested a total of $1000 in two simple-interest bank accounts. One account paid 5% annual interest; the other paid 6% annual interest. The total amount of interest she earned after 1 year was $56

Simple interest formula =

I = PRT

We are to find the Amount = Principal invested

For Account 1

I1 = P × 5% × 1

= 0.05P

Account 2

I2 = P × 6% × 1

= 0.06P

Therefore:

0.05P + 0.06P = $56

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The answer would be 1.69736842105 but usually you have to round it to the hundredths so the answer is 1.70.

hope this answer helps! feel free to ask any additional questions :)
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3 years ago
Read 2 more answers
Part 1!
kondaur [170]
1.  We have to find the fifth term of f(n) = 7 - 4(n - 1). 
That means x = 5. Substitute 5 into the equation for x. 
f(n) = 7 - 4(5 - 1) 
Subtract 5 - 1. 
f(n) = 7 - 4(4) 
Multiply 4 by 4. 
f(n) = 7 - 16 
Subtract 16 from 7. 
f(n) = -9 
The answer is D. 

2. Since we have to find the first 4 terms, we have to solve for x = 1, 2, 3, & 4. 
Multiply 1, 2, 3, and 4 by 6. We now have: 
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Subtract 25 from the first term: 6, 12, 18, and 24. 
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3. Now, we have to find the first 3 terms of f(x) = 10(2)^x.  So x is 1, 2, & 3. 
Raise 2 to the powers of 1, 2, and 3. The equations are now: 
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f(x) = 20   f(x) = 40   f(x) = 80 
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4. Find the 21st term of f(n) = 2 + 9(n - 1). Substitute 21 for n. 
f(n) = 2 + 9(21 - 1) 
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5. Which sequence is described by f(n) = 2(3)^x-5. 
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Raise 1/2 to the power of 8.
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Hope this helped!
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Answer:

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Step-by-step explanation:

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x = 5 - 1316

Which simplifies to:

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