Mackey invested some money in an account paying 6% interest for one year. She invested $1000 more than this amount in an account paying 8.5%. How much did she invest in total if the total interest earned in the year was $737.50?

Answers

Answer 1

Step-by-step explanation:

Let's assume the amount Mackey initially invested in the 6% account is x dollars.

According to the given information, Mackey invested $1000 more than x in the 8.5% account, which means she invested (x + $1000) dollars in that account.

The total interest earned from the 6% account would be 0.06x dollars, and the total interest earned from the 8.5% account would be 0.085(x + $1000) dollars.

The total interest earned in the year is given as $737.50, so we can set up the equation:

0.06x + 0.085(x + $1000) = $737.50

Simplifying the equation:

0.06x + 0.085x + 0.085($1000) = $737.50

Combining like terms:

0.145x + $85 = $737.50

Subtracting $85 from both sides:

0.145x = $737.50 - $85

0.145x = $652.50

Dividing both sides by 0.145:

x = $652.50 / 0.145

x ≈ $4500

Therefore, Mackey initially invested approximately $4500 in the 6% account, and she invested $1000 more, which means she invested a total of $5500.

Answer 2

$4500

$4500

$4500

$4500


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Step-by-step explanation:

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2 m       100 cm

------ * ---------------- = 200 cm

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200 cm

--------------------- = 20 sections

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Step-by-step explanation:

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The formula for the axis of symmetry is x  = - ------

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Step-by-step explanation:

your welcome✌✨

どういたしまして✌✨

欢迎您✌✨

de nada✌✨

a) The properties that both rectangles and parallelograms always share is 2 pairs of parallel sides

b) The properties that equilateral triangles and isosceles triangles have in common is 2 sides of equal length

What is a Parallelogram?

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure

The sum of angles of a parallelogram is 360°

The four types are parallelograms, squares, rectangles, and rhombuses

Properties of Parallelogram

Opposite sides are parallel

Opposite sides are congruent

Opposite angles are congruent.

Same-Side interior angles (consecutive angles) are supplementary

Each diagonal of a parallelogram separates it into two congruent triangles

The diagonals of a parallelogram bisect each other

Given data ,

a)

Let the figure be represented as ABCD

Now , the figure ABCD is a rectangle

And , the opposite sides are parallel for a rectangle

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b)

An equilateral triangle is a triangle is 3 equal sides

An isosceles triangle is a triangle with 2 equal sides

Therefore , the property that equilateral triangles and isosceles triangles have in common is 2 sides of equal length

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Step-by-step explanation:

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the approximate annual interest rate on the savings account is 7.2%.

What is simple interest?

Simple interest is the amount of interest charged on a specific principal amount at a specific interest rate. Compound interest, on the other hand, is the interest that is computed using both the principal and the interest that has accumulated over the preceding period.

Given, Eight years after opening her savings account, Macy had $7,880 in the account which earns annual simple interest.

from the general formula of Simple interest:

Simple interest(SI) = p*r*t/100

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in our case

p = 5000,

SI = 7880 - 5000 = 2880

t = 8

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