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Elanso [62]
3 years ago
11

1. What is the simple interest on $4,500 for 2 and a half years at 4% per year?

Mathematics
2 answers:
Goryan [66]3 years ago
7 0

Answer:

1. $450

2. $4950

3. $48,000

4. $88,000

Step-by-step explanation:

I took a test and got these questions correct. I hope this helps!

allochka39001 [22]3 years ago
6 0

Answer: 1st is 180$ sorry if I’m wrong

Step-by-step explanation:

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MCR3U1 Culminating 2021.pdf
11111nata11111 [884]

Answer:

(a) y = 350,000 \times (1 + 0.07132)^t

(b) (i) The population after 8 hours is 607,325

(ii) The population after 24 hours is 1,828,643

(c) The rate of increase of the population as a percentage per hour is 7.132%

(d) The doubling time of the population is approximately, 10.06 hours

Step-by-step explanation:

(a) The initial population of the bacteria, y₁ = a = 350,000

The time the colony grows, t = 12 hours

The final population of bacteria in the colony, y₂ = 800,000

The exponential growth model, can be written as follows;

y = a \cdot (1 + r)^t

Plugging in the values, we get;

800,000 = 350,000 \times (1 + r)^{12}

Therefore;

(1 + r)¹² = 800,000/350,000 = 16/7

12·㏑(1 + r) = ㏑(16/7)

㏑(1 + r) = (㏑(16/7))/12

r = e^((㏑(16/7))/12) - 1 ≈ 0.07132

The  model is therefore;

y = 350,000 \times (1 + 0.07132)^t

(b) (i) The population after 8 hours is given as follows;

y = 350,000 × (1 + 0.07132)⁸ ≈ 607,325.82

By rounding down, we have;

The population after 8 hours, y = 607,325

(ii) The population after 24 hours is given as follows;

y = 350,000 × (1 + 0.07132)²⁴ ≈ 1,828,643.92571

By rounding down, we have;

The population after 24 hours, y = 1,828,643

(c) The rate of increase of the population as a percentage per hour =  r × 100

∴   The rate of increase of the population as a percentage = 0.07132 × 100 = 7.132%

(d) The doubling time of the population is the time it takes the population to double, which is given as follows;

Initial population = y

Final population = 2·y

The doubling time of the population is therefore;

2 \cdot y = y \times (1 + 0.07132)^t

Therefore, we have;

2·y/y =2 = (1 + 0.07132)^t

t = ln2/(ln(1 + 0.07132)) ≈ 10.06

The doubling time of the population is approximately, 10.06 hours.

8 0
2 years ago
Follow the process of completing the square to solve 2x2 + 8x - 12 = 0. After adding B2 to both sides of the equation in step 4,
valentina_108 [34]
 2x2 + 8x - 12 = 0
4 + 8x - 12 = 0
8x = 12 - 4
8x = 8
x = 1
4 0
3 years ago
A car travels 279 miles in 4 1/2 hours. How many miles would the car travel<br> in 12 hours? *
Liono4ka [1.6K]

Answer:

744 miles in 12 hours.

Step-by-step explanation:

MATH

4 0
2 years ago
between 1995 and 2006, the population of samburg, usa(in thousands) can be modeled by f(x) = 0.35x(squared) - 2.1x+15.8 where x=
Juli2301 [7.4K]
\bf f(x)=0.35x^2-2.1x+15.8\qquad &#10;\begin{cases}&#10;x=\textit{year since 1995}\\&#10;f(x)=\textit{population amount}&#10;\end{cases}

the equation is a quadratic one, and it has a positive coefficient on the leading term, meaning, is opening upwards, so it has a "burrow" for the vertex.

the minimum or lowest point for a quadratic opening upwards is, well, the vertex point :),   the "x" value is the year, the "y" or f(x) value is the population, we're asked for the year, or the x-coordinate of the vertex

well   \bf \begin{array}{llll}&#10;f(x)=&0.35x^2&-2.1x&+15.8\\&#10;&\quad \uparrow &\quad \uparrow&\uparrow \\&#10;&\quad  a&\quad  b &c&#10;\end{array}&#10;\\\\&#10;&#10;\\\\&#10;\qquad  \textit{vertex of a parabola}\\ \quad \\&#10;\qquad &#10;&#10;\left(\boxed{-\cfrac{{{ b}}}{2{{ a}}}}\quad ,\quad  {{ c}}-\cfrac{{{ b}}^2}{4{{ a}}}\right)
5 0
3 years ago
Is the percent increase from 50 to 70 equal to the percent decrease from 70 to 50? Explain.
Salsk061 [2.6K]

Answer:

  • No

Step-by-step explanation:

  • <em>Percent change is the difference in numbers divided by initial number converted to percent value.</em>

<u>Percent increase:</u>

  • (70 - 50)/50*100% = 40%

<u>Percent decrease:</u>

  • (70 - 50)/70*100% = 28.57%

<u>Compare:</u>

  • 40% ≠ 28.57%
4 0
2 years ago
Read 2 more answers
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