Ask question

Ask question

All categories

3 years ago

9

Carlos buys a vintage automobile for $7300. He estimates that the value will increase by 3% every year. Estimate the value of th

e automobile in ten years.

1 answer:

lakkis [162]3 years ago

7 0

Answer:

$9810.59

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right<u> </u>

<u>Algebra I</u>

Simple Interest Rate Formula: $\displaystyle A = P(1 + r)^t$

<em>P</em> is principle amount
<em>r</em> is rate
<em>t</em> is time (in years)

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify variables</em>

<em>P</em> = 7300

<em>r</em> = 3% = 0.03

<em>t</em> = 10

<u>Step 2: Solve for </u><em><u>A</u></em>

Substitute in variables [Simple Interest Rate Formula]: $\displaystyle A = 7300(1 + 0.03)^{10}$
(Parenthesis) Add: $\displaystyle A = 7300(1.03)^{10}$
Evaluate exponents: $\displaystyle A = 7300(1.34392)$
Multiply: $\displaystyle A = 9810.59$

You might be interested in

John answered 80% of the questions correctly. There were 30 questions on the test. How many questions did John answer correctly?

Liula [17]

Answer:

he got 24 right

Step-by-step explanation:

30 time 80% is 24

7 0

3 years ago

What is the value of x?

djverab [1.8K]

Answer:

x = 55°

Step-by-step explanation:

Hello!

The sum of angles in a triangle is 180°.

To solve for x, we have to subtract the given angles from 180°.

<h3>Solve for x</h3>

180° = ∠1 + ∠2 + ∠x
180° = 75° + 50° + x°
180° - 75° - 50° = x°
55° = x°

The value of x is 55°.

6 0

2 years ago

Read 2 more answers

(A) A small business ships homemade candies to anywhere in the world. Suppose a random sample of 16 orders is selected and each

Leviafan [203]

Following are the solution parts for the given question:

For question A:

$\to (n) = 16$

$\to (\bar{X}) = 410$

$\to (\sigma) = 40$

In the given question, we calculate $90\%$ of the confidence interval for the mean weight of shipped homemade candies that can be calculated as follows:

$\to \bar{X} \pm t_{\frac{\alpha}{2}} \times \frac{S}{\sqrt{n}}$

$\to C.I= 0.90\\\\\to (\alpha) = 1 - 0.90 = 0.10\\\\ \to \frac{\alpha}{2} = \frac{0.10}{2} = 0.05\\\\ \to (df) = n-1 = 16-1 = 15\\\\$

Using the t table we calculate $t_{ \frac{\alpha}{2}} = 1.753$ When $90\%$ of the confidence interval:

$\to 410 \pm 1.753 \times \frac{40}{\sqrt{16}}\\\\ \to 410 \pm 17.53\\\\ \to392.47 < \mu < 427.53$

So $90\%$ confidence interval for the mean weight of shipped homemade candies is between $392.47\ \ and\ \ 427.53$ .

For question B:

$\to (n) = 500$

$\to (X) = 155$

$\to (p') = \frac{X}{n} = \frac{155}{500} = 0.31$

Here we need to calculate $90\%$ confidence interval for the true proportion of all college students who own a car which can be calculated as

$\to p' \pm Z_{\frac{\alpha}{2}} \times \sqrt{\frac{p'(1-p')}{n}}$

$\to C.I= 0.90$

$\to (\alpha) = 0.10$

$\to \frac{\alpha}{2} = 0.05$

Using the Z-table we found $Z_{\frac{\alpha}{2}} = 1.645$

therefore $90\%$ the confidence interval for the genuine proportion of college students who possess a car is

$\to 0.31 \pm 1.645\times \sqrt{\frac{0.31\times (1-0.31)}{500}}\\\\ \to 0.31 \pm 0.034\\\\ \to 0.276 < p < 0.344$

So $90\%$ the confidence interval for the genuine proportion of college students who possess a car is between $0.28 \ and\ 0.34.$

For question C:

In question A, We are $90\%$ certain that the weight of supplied homemade candies is between 392.47 grams and 427.53 grams.
In question B, We are $90\%$ positive that the true percentage of college students who possess a car is between 0.28 and 0.34.

Learn more about confidence intervals:

brainly.in/question/16329412

7 0

3 years ago

What is the distance from the point (−3, −b, c) to the origin?

lord [1]

Answer:

$\sqrt{9+b^2+c^2}\,\text{units}$

Step-by-step explanation:

The distance formula tells you the distance d between the points (0, 0, 0) and (-3, -b, c) is ...

d = √((x2 -x1)² +(y2 -y1)² +(z2 -z1)²) = √((-3-0)² +(-b-0)² +(c-0)²)

= √(9 +b² +c²)

4 0

3 years ago

Read 2 more answers

Hector has a part-time job at a garage. He gets a paycheck of $820 every for

ElenaW [278]

Answer:

<u>A. Hector pays $ 123 in taxes each paycheck.</u>

<u>B. Hector should expect to receive $615 or 75% of his regular pay.</u>

<u>C. Hector will be paid $ 902 when he receives his next 4- week paycheck.</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the questions correctly:

Paycheck Hector gets every four weeks = $ 820

2. Hector has to pay 15% of his income in taxes. How much money does he

pay in taxes each paycheck? Show your thinking with a diagram and

calculations.

Taxes = 15% of 820

Taxes = 0.15 * 820

Taxes = $ 123

Hector's paycheck: ←------------------------------820--------------------------------------→

Taxes: ←----123---→

3. Hector took a 1-week vacation, so his next paycheck will only be for 3

weeks of work. What percentage of his regular pay should he expect to

receive? How much is that?

We can answer this question using the Direct Rule of Three, this way:

Weeks Paycheck

4 820

3 x

***********************************

4x = 820 * 3

4x = 2,460

x = 2,460/4

x = 615

615/820 = 0.75 = 75%

4. The garage owner is impressed with Hector's work and is giving him a

10% raise. How much will Hector be paid when he receives his next 4- week paycheck?

Raise = 10% of 820

Raise = 0.1 * 820 = 82

Next 4- week paycheck = 820 + 82 = 902

4 0

3 years ago