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jenyasd209
1 month ago
10

Emily invests $5,000 in an

Mathematics
2 answers:
lawyer [12.5K]1 month ago
7 0

Answer:

50 years

Detailed breakdown:

Applying the simple interest formula:

PRT/100

Where P is the principal amount ($5000)

R represents the interest rate (4)

T signifies the time (x- unknown)

The total amount after time T is double the initial investment = 5000 * 2 = 10000

(5000 * 4 * x) / 100 = 10000

20000x / 100 = 10000

20000x = 100 * 10000

20000x = 1,000,000

x = 1,000,000 / 20,000

x = 50

It will require 50 years

Leona [12.6K]1 month ago
6 0

Answer:

50 years

Detailed breakdown:

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Solve the following problem: An investor earned triple the profits of what she earned last year. If she made $500,000.48 total f
PIT_PIT [12445]

Response:

$125,000.12 last year

$375,000.36 this year

Step-by-step clarification:

Last year, her earnings were x.

This year, her earnings are three times greater, thus they equal 3x.

For both years combined, the total earnings amount to x + 3x = 4x.

The earnings across both years together total $500,000.48

4x = 500,000.48

Dividing both sides by 4 gives us

x = 500,000.48/4

x = 125,000.12

Thus, last year's earnings were $125,000.12

This year, her profits amounted to 3x = 3(125,000.12) = 375,000.36, totaling $375,000.36

7 0
24 days ago
A disadvantage of the contention approach for LANs, such as CSMA/CD, is the capacity wasted due to multiple stations attempting
Zina [12379]

Response:

The problem is summarized in the following explanation segment.

Detailed explanation:

The estimate of the slots or positions lost due to simultaneous transmission attempts can be calculated as follows:

Evaluating the likelihood of transmitting gives us "p".

When considering two or more attempts, we arrive at

Fraction of slots wasted,

= [1-no \ attempt \ probability-first \ attempt \ probability-second \ attempt \ probability+...]

Substituting the values yields

= 1-no \ attempt \ probability-[N\times P\times probability \ of \ attempts]

= 1-(1-P)^{N}-N[P(1-P)^{N}]

Thus, the answer appears to be correct.

8 0
13 days ago
Given that P = (-5, 5) and Q = (-13, 10), find the component form and magnitude of 2 vector PQ.
tester [12383]
Define the unit vectors along the x and y axes as \hat{i}, \, \hat{j} correspondingly.

Consequently, the vector from P to Q is
\vec{PQ} = (-13+5)\hat{i} + (10-5)\hat{j} = -8\hat{i} + 5\hat{j}
In terms of components, vector PQ is represented as (-8,5).

The magnitude of vector PQ can be calculated as
√[(-8)² + 5²] = √(89) = 9.434

Answer:
Thus, vector PQ is (-8, 5), and its magnitude equals √89 (or 9.434).
4 0
1 month ago
Read 2 more answers
Threatened monarch butterflies are monitored by measuring the area occupied by overwintering butterflies in Mexico. According to
Leona [12618]

Answer:

14.2 hectares

Step-by-step explanation:

Fund Mexico reports that monarch butterflies occupied 1.13 hectares in one winter and 4.01 hectares the next winter (one year later)

The Geometric growth formula is

(Pt/ Po)^1/t

Where Pt = Size after t years = 4.01 hectares

Po = Initial size = 1.13

t = time = 1

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The area they will occupy in hectares after one more year = Current area × Geometric growth rate

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6 0
18 days ago
A bike wheel is 26 inches in diameter. What is the bike wheel's diameter in millimeters (1 inch = 25.4 millimeters)?
zzz [12365]

Answer:

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Step-by-step explanation:

The diameter of the wheel is 26 inches

as given

1 inch equals 25.4 millimeters

Multiplying both sides by 26

26 inches = 26*25.4 millimeters

=>26 inches = 660.4 mm.

Thus, the diameter of the wheel in millimeters is 660.4

3 0
1 month ago
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