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ikadub [295]
3 years ago
14

Dixon deposited $2000.00 in an account that paid 5% interest compounded annually. How much interest will the account earn in two

years?
Mathematics
1 answer:
anastassius [24]3 years ago
4 0
Dixon will earn $2,205.00 in two years. Every year he earns 5% of the original amount each year. Multiply 2000 by 0.05 (which is 5% in decimal form). This equals to 100. Add this to 2000 to get 2100. Multiply that number by 0.05 also to get 105. Add that to 2100 and get $2205. (Hopefully this is correct, i learned this a while ago and this is what I thought of on the top if my head).
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A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the
kenny6666 [7]

Given:

The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation

y=-29x^2+1388x-10040

To find:

The maximum amount of profit the company can make, to the nearest dollar.

Solution:

If a quadratic equation is f(x)=ax^2+bx+c, then the vertex is

Vertex=\left(-\dfrac{b}{2a},f(-\dfrac{b}{2a})\right)

If a>0, then vertex is the minimum point and if a<0, then the vertex is the maximum point.

We have,

y=-29x^2+1388x-10040

Here, a=-29,b=1388, c=-10040. Clearly, a<0. So, the vertex is the point of maxima.

-\dfrac{b}{2a}=-\dfrac{1388}{2(-29)}

-\dfrac{b}{2a}=-\dfrac{1388}{-58}

-\dfrac{b}{2a}\approx 23.931

Putting x=23.931 in the given equation, we get

y=-29(23.931)^2+1388(23.931)-10040

y=-16608.09+33216.228-10040

y=6568.138

The vertex is at (23.931,6568.138).

Therefore, the maximum profit is $6568.138 when x=23.931.

5 0
3 years ago
Due today...
natita [175]

Answer:

If you draw a diagonal across the parallelogram from one vertex to the opposite vertex, you divide the parallelogram into two congruent triangles. Each triangle thus has 1/2 of the area of the parallelogram.

8 0
2 years ago
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dimaraw [331]
What do you need help with and what subject
4 0
3 years ago
In a random sample of 5 residents of the state of Texas, the mean waste recycled per person per day was 1.9 pounds with a standa
sammy [17]
<h2>Answer with explanation:</h2><h2 />

The confidence interval for population mean is given by :-

\overline{x} \pm\ t_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}

Given : Sample size : n= 5, since n<30 , so the test we use here is t-test.

Sample mean : \overline{x}=1.9\text{ pounds}

Standard deviation: \sigma=0.89\text{ pounds}

Significance level : 1-\alpha:1-0.99=0.01

By using the standard normal distribution table , the critical value corresponds to the given significance level will be :-

t_{n-1,\alpha/2}=t_{5-1,0.01/2}=t_{4,0.005}=4.604

Now, the 99% confidence interval for the mean waste recycled per person per day for the population of Texas will be :-

1.9\pm\ (4.604)\dfrac{0.89}{\sqrt{5}}\\\\\approx1.9\pm1.832\\\\=(1.9-1.832,1.9+1.832)=(0.068,\ 3.732)

Hence, the 99% confidence interval for the mean waste recycled per person per day for the population of Texas  = (0.068, 3.732)

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3 years ago
Fractions that have the same value
Lelechka [254]

Yes, they certainly do exist.

Do you have a question to ask ?

6 0
3 years ago
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