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andreyandreev [35.5K]
2 years ago
9

Isabella has twice as much money invested at 4% as she has invested at 3%, and she has $500 more invested at 5% than she has at

3%. If the annual income from these three investments is $2025, how much does she have invested at 4%
Mathematics
1 answer:
adell [148]2 years ago
3 0
Invested at 3% = x
invested at 4% = 2x
invested at 5% = x+500

0.03x + 0.04(2x) + 0.05(x+500) = 2025
0.03x + 0.08x +0.05x +25 = 2025
0.16x = 2000
x= 12,500
4% = 2x = 12,500 * 2 = $25,000
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Any one that knows this please help thanks!
yulyashka [42]

Replace the x with 9, and the y with 1.

(x · y²)/-5 becomes (9 · 1²)/-5

1² is just 1, so you're doing 9 × 1 (which is = 9) over -5.

Therefore, your final answer is -9/5.

4 0
3 years ago
Can someone help me? In this net, the two triangles are right triangles. All quadrilaterals are rectangles. What is its surface
Nikitich [7]

Answer:

Net Area = 168

Step-by-step explanation:

See attachment for complete question

I'll make reference to the attachment, when needed.

The shapes that make up the net are labelled 1 to 5.

So, to calculate the surface area of the net, we simply calculate the surface area of each label.

Label 1: Rectangle

Area = Length * Width

Area = 10 * 5

Area = 50

Label 2: Rectangle

Area = Length * Width

Area = 8 * 5

Area = 40

Label 3: Rectangle

Area = Length * Width

Area = 6 * 5

Area = 30

Label 4: Triangle

Area = ½Base * Height

Base = 6 and Height = 8

So:

Area = ½ * 6 * 8

Area = 24

Label 5: Triangle

Area = ½Base * Height

Base = 6 and Height = 8

So:

Area = ½ * 6 * 8

Area = 24

So, the net area is the summation of the calculated areas of label 1 to 5

Net Area = 50 + 40 + 30 + 24 + 24

Net Area = 168

5 0
3 years ago
Charlotte is driving at 52.7 mi/h and receives a text message. She looks down at her phone and takes her eyes off the road for 4
likoan [24]

Answer:

  385.7 ft

Step-by-step explanation:

The relation between speed, distance, and time is ...

  distance = speed × time

<h3>Compatible units</h3>

The speed is given in miles per hour, but the time is given in seconds and the distance is wanted in feet. This suggests a conversion of speed to feet per second is appropriate.

  \dfrac{52.7\text{ mi}}{\text{h}}\times\dfrac{1\text{ h}}{3600\text{ s}}\times\dfrac{5280\text{ ft}}{1\text{ mi}}=\dfrac{52.7\cdot22\text{ ft}}{15\text{ s}}=77.29\overline{3}\text{ ft/s}

<h3>Distance</h3>

The distance traveled is the product of this speed and the time period.

  \dfrac{77.29\overline{3}\text{ ft}}{1\text{ s}}\times4.99\text{ s}=385.6937\overline{3}\text{ ft}\approx\boxed{385.7\text{ ft}}

7 0
1 year ago
What number Could be added in the expression -4 -9 that the value of the expression is 0
Anton [14]
If i’m understanding this correctly -9 + -4 is equal to -13 so wouldn’t you just add 13 to make it 0?

sorry if this is confusing
8 0
2 years ago
Read 2 more answers
Find the dimensions of the box described.
Rina8888 [55]

The dimensions of the box are 6 inches, 12 inches and 10 inches

Step-by-step explanation:

There is a box, with dimensions length, width and height

  • The length is twice as long as the width
  • The height is 4 inches greater than the width
  • The volume is 720 cubic inches

We need to find its dimensions

Assume that the width of the box is x

∵ The width of the box is x

∵ The length is twice as long as the width

- Twice means times 2

∴ The length of the box = 2(x) = 2x

∵ The height is 4 inches greater than the width

- 4 inches greater means add 4

∴ The height of the box = x + 4

∵ The volume of the box = length × width × height

∵ length = 2x , width = x , height = x + 4

∴ The volume of the box = (2x) × (x) × (x + 4)

∵ (2x) × (x) = 2x²

∵ 2x²(x + 4) = (2x²)(x) + (2x²)(4) = 2x³ + 8x²

∴ The volume of the box = 2x³ + 8x²

∵ The volume of the box is 720 inches³

∴ 2x³ + 8x = 720

- Subtract 720 from both sides

∴ 2x³ + 8x² - 720 = 0

- Use your calculator to solve the equation and find the value of x

∴ x = 6

∴ The width of the box = 6 inches

∴ The length of the box = 2(6) = 12 inches

∴ The height of the box = 6 + 4 = 10 inches

The dimensions of the box are 6 inches, 12 inches and 10 inches

Learn more:

You can learn more about volume in brainly.com/question/12497249

#LearnwithBrainly

5 0
3 years ago
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