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BabaBlast [244]
3 years ago
11

Ramona has a total of $5000 to invest. She puts part of it in an account paying 5% per year interest and the rest in a GIC payin

g 7.2% interest. If she has $349 in simple interest at the end of the year, how much was invested at each rate?
Mathematics
1 answer:
frosja888 [35]3 years ago
3 0
Let x represent the amount invested in the account paying 5% interest per year. 
Let y represent the amount invested in the GIC paying 7.2% interest. 
x + y = $5,000 ⇒ y = $5,000 - x
0.05x + 0.072 = $349 ⇒ (multiply by 1000 to get rid of decimals) ⇒
50x + 72y = $349,000
Then substitute the y equation into the second equation. 
50x + 72 (5,000 - x ) = 349,000
50x + 360,000 - 72x = 349,000
50x - 72x = 349,000 - 360,000
-22x = -11,000 (divide both sides by -22)
x = 500
∴ the amount invested in the account paying 5% interest per year is $500. 
Now solve for y. 
x + y = 5,000
500 + y = 5,000 
y = 5,000 - 500
y = 4,500 
∴ the amount in the GIC paying 7.2% interest is $4,500. 
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Step-by-step explanation:

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x_1 = -4

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Using the above formula

y_2 - y_1 / x_2 - x_1 = y - y_1 / x - x_1

-12 - 3 / -1 - 2 = y - 3 / x - 2

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Cross multiply

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Dividing through by 3 to find y

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6 0
2 years ago
A man bought 500 mangoes and found 1/4 of them rotten .If he sold the rest of mangoes at 3.36 each making 12% profit ,what was t
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Answer:

<em>The cost price of each mango was $3</em>

Step-by-step explanation:

The man bought 500 mangoes, but 1/4 of them were rotten. There were 1/4*500 = 125 rotten mangoes, thus the number of mangoes he sold is

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Selling them at $3.36 each, he had revenue of

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The polynomial passes through the point (1, 10), and having the roots 2, -3, and 4 is a cubic polynomial.

<h3>What is a polynomial?</h3>

A polynomial is a mathematical expression made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables.

The polynomial having the highest power of 3 is called the cubic polynomial.

Given that the roots 2, -3, and 4 that has to pass through the point (1, 10).

The polynomial will be written as,

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