All categories

3 years ago

If a person invested half of her money at 9% and half at 7% and received $160 interest, find the total amount of money invested.

Mathematics

2 answers:

mr Goodwill [35]3 years ago

5 0

Answer:

$2000

Step-by-step explanation:

let x be the money she invested

lets assume this was for 1 year

0.09(x/2) + 0.07(x/2) = 160

multiply each side by 2 to cancel the denominators:

0.09x + 0.07x = 320

0.16x = 320

x = 2000

Cloud [144]3 years ago

5 0

Answer: $2000

Let the amount of money she invested be x

Lets assume the time of investment as 1 year

ATQ

0.09(x/2) + 0.07(x/2) = 160

0.09x + 0.07x = 320

0.16x = 320

x = 2000

Must click thanks and mark brainliest

You might be interested in

Write the following expression in radical form

zlopas [31]

Answer:

See below

Step-by-step explanation:

<u>Write the following expression in radical form </u>

(8x)¹/² = $\sqrt{8x}$

<u>Write the following expression in exponential form. </u>

<u /> $\sqrt{19}$ = 19¹/²

8 0

3 years ago

58 = –2(m + 4) + m –22 –50 –66 –33

Anika [276]

Assignment: $\bold{Solve \ Equation: \ 58=-2\left(m+4\right)+m}$

<><><><><>

Answer: $\boxed{\bold{m=-66}}$

<><><><><>

Explanation: $\downarrow\downarrow\downarrow$

<><><><><>

[ Step One ] Switch Sides

$\bold{-2\left(m+4\right)+m=58}$

[ Step Two ] Expand $\bold{-2\left(m+4\right)+m}$

$\bold{-m-8}$

[ Step Three ] Rewrite Equation

$\bold{-m-8=58}$

[ Step Four ] Add 8 To Both Sides

$\bold{-m-8+8=58+8}$

[ Step Five ] Simplify

$\bold{-m=66}$

[ Step Six ] Divide Both Sides By -1

$\bold{\frac{-m}{-1}=\frac{66}{-1}}$

[ Step Seven ] Simplify

$\bold{x=-66}$

<><><><><><><>

$\bold{\rightarrow Mordancy \leftarrow}$

3 0

4 years ago

Read 2 more answers

(Score for Question 2: ___ of 10 points)

Vedmedyk [2.9K]

The area of room is 812 square feet, cost of carpet to cover the room is $6739.6 and the remaining square feet of carpet are covered by furniture is 203 square feet.

<h3>What is the area of trapezoid?</h3>

The area of the trapezoid is the space occupied by it on the two dimensional plane. The area of this figure is half of the product of height and sum of sides.

$A=\dfrac{(a+b)h}{2}$

Here, (a and b) are the base sides of the trapezoid and (h) is the height.

A room is shaped like a trapezoid which has the height of 28 feet and the length of sides as 23 ft and 35 ft. Thus, the area of it is,

$A=\dfrac{(a+b)h}{2}\\A=\dfrac{(23+35)28}{2}\\A=812\rm\; ft^2$

Carpet costs $8.30 per square foot. Thus, the cost of carpet with area 812 ft² is,

C=812×$8.30

C=$6739.6

Furniture covers 25% of the floor. Thus, the remaining square feet of carpet are covered by furniture is,

$A=\dfrac{25}{100}\times812\\A=203\rm\; ft^2$

Thus, the area of room is 812 square feet, cost of carpet to cover the room is $6739.6 and the remaining square feet of carpet are covered by furniture is 203 square feet.

Learn more about the area of trapezoid here;

brainly.com/question/1410008

#SPJ1

4 0

2 years ago

Pease help, thank you

andreyandreev [35.5K]

Answer: -2

=====================================================

Draw a vertical line through 4 on the x axis. This vertical line crosses the parabola at some point (which we'll call point A). Draw a horizontal line from point A to the y axis and note how it lands on y = 12. Therefore the point (4,12) is on this parabola.

Repeat the same steps as before to find that (8,4) is also on the parabola

We need to find the slope of the line through (4,12) and (8,4)

m = (y2 - y1)/(x2 - x1)

m = (4-12)/(8 - 4)

m = -8/4

m = -2

The slope of this line is -2 meaning that the average rate of change from x = 4 to x = 8 is -2.

The line goes down 2 units each time you move to the right 1 unit.

6 0

3 years ago

You are a delivery manager at MN Company, a wholesale lollipop. The

Nady [450]

For the new expectation, 3 drivers and 2 vans are needed.

To determine, for the new expectation, how many drivers and vans do you need, the following calculation must be performed:

8500 x 1.5 = 12750
5000 x 3 = 15000

Therefore, for the new expectation, 3 drivers and 2 vans are needed.

Learn more about maths in brainly.com/question/26173296

3 0

2 years ago