We invested $10000 into two bank accounts. One account earns 14% per year, the other account earns 8% per year. How much did we invest into each account if after the first year, the combined interest from the two accounts is $1238?

Answers

Answer 1

Answer:

$7,300 was invested in the 14% account while $2,700 was invested in the 8% interest account

Step-by-step explanation:

Let the amount invested in first account be $x while the amount for second account is $y

Mathematically;

x + y = 10,000 •••••••••(i)

Interest on first account

= 14% of x = 14/100 * x

Interest on second account

= 8% of y= 8/100 * y

Adding all together will give total

14/100 * x + 8/100 * y = 1238

Multiply through by 100

14x + 8y = 123800 •••••••(ii)

From equation 1, x = 10,000 - y

Insert this into second equation

14(10,000-y) + 8y = 123,800

140,000 - 14y + 8y = 123,800

140,000 - 6y = 123,800

6y = 140,000 - 123,800

6y = 16,200

y = 16,200/6

y = $2,700

Recall

x + y = 10,000

x = 10000 - y

x = 10,000 - 2,700

x = $7,300


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Step-by-step explanation:

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A kennel owner has 400 feet of fencing to enclose a rectangular dog exercise pen. Express the area of the exercise pen, A, as a function of one of its dimensions, x. A(x) = x(x - 200) A(x) = x(x - 200) A(x) = x(400 - x) A(x) = x(400 - x) A(x) = x(200 - x) A(x) = x(200 - x) A(x) = (200 - x)2

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Answer:

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Step-by-step explanation:

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Answers

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Answers

Answer:

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Step-by-step explanation:

6(8−2x)=4x

Step 1: Simplify both sides of the equation.

6(8−2x)=4x

(6)(8)+(6)(−2x)=4x(Distribute)

48+−12x=4x

−12x+48=4x

Step 2: Subtract 4x from both sides.

−12x+48−4x=4x−4x

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Step 3: Subtract 48 from both sides.

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Answers

Answer:

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Answers

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Step-by-step explanation:

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Factor completely by grouping.
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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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I believe this question is incomplete. I don’t see a table or image attached. Comment if you believe this is wrong and I will do my best to help you

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Answers

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Answers

Let's check:

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Eleanor was looking to save money and make her home more energy efficient. She heard about LED
light bulbs but wanted to calculate the actual cost per year before buying them. Eleanor found that
incandescent bulbs cost $0.01 per hour in electricity, while LED's cost $0.0022 per hour. If the average
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It’s going be 200 per hour and 70 min

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Step-by-step explanation:

HELP PLEASE

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Answers

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Step-by-step explanation:

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Han rides his bike for 50 miles over 4 hours. How long will it take him to ride 75 miles?

Answers

Answer:

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Step-by-step explanation:

[tex]75 \times 4 = 300[/tex]

[tex]300 \div 50 = 6[/tex]

the answer is 6

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6 miles

Step-by-step explanation:

The temperature at 5:00 a.m. was –6 °F. By 3:00 p.m., the temperature had risen to a high of 36 °F. If the temperature at 8:00 p.m. decreased from the high by latex of the change in temperature in Fahrenheit degrees from 5:00 a.m. to 3:00 p.m., what was the temperature at 8:00 p.m.?

Answers

Complete question :

The temperature at 5:00 a.m. was –6 °F. By 3:00 p.m., the temperature had risen to a high of 36 °F. If the temperature at 8:00 p.m. decreased from the high by the change in temperature in Fahrenheit degrees from 5:00 a.m. to 3:00 p.m., what was the temperature at 8:00 p.m.?

Answer:

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Step-by-step explanation:

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Answers

Answer:

<DBC= 78

Step-by-step explanation:

since you already know what they equal all together

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Answers

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Answers

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Answer:

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Step-by-step explanation:

So, you can also write this equation as:

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You owe your friend $6.

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Hope I helped :)

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Answers

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Answers

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