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Naddik [55]
3 years ago
13

Samuel deposits $1,800 in an account that earns 12% simple annual interest. How many months will it take for Samuel's account ba

lance to reach $2,448?
Use the simple interest formula I = prt, where I = Interest, p = Principal or amount borrowed, r = Rate, and t = Time (in years).
Mathematics
1 answer:
Artemon [7]3 years ago
6 0
In order to use the simple interest formula, we first define the variables. The interest would be equal to Samuel's desired amount $ 2,488 minus the principal amount of $ 1,800 which is then equal to $ 688. The rate must be in decimal form which is equal to 0.12 while t is expressed in years. Substituting the values, t is equal to 3. Thus, it will take 36 <span>months for Samuel's account balance to reach $2,448. </span>
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How does the order of the numbers affect the product in multiplication problems
GalinKa [24]

Answer:

Uneffected.

Step-by-step explanation:

The order of the numbers doesn't affect the product in multiplication problems.

For example, we need to multiply 2 × 10.

We can write it as : 2×5×2

2×(5×2) = 2×10 = 20

Also,

(2×5)×2 = 10×2 = 20

Hence, it will remain unaffected when we multiply numbers.

7 0
3 years ago
Assume that the probability of a defective computer component is 0.02. Components arerandomly selected. Find the probability tha
solmaris [256]

Answer:

0.0177 = 1.77% probability that the first defect is caused by the seventh component tested.

The expected number of components tested before a defective component is found is 50, with a variance of 0.0208.

Step-by-step explanation:

Assume that the probability of a defective computer component is 0.02. Components are randomly selected. Find the probability that the first defect is caused by the seventh component tested.

First six not defective, each with 0.98 probability.

7th defective, with 0.02 probability. So

p = (0.98)^6*0.02 = 0.0177

0.0177 = 1.77% probability that the first defect is caused by the seventh component tested.

Find the expected number and variance of the number of components tested before a defective component is found.

Inverse binomial distribution, with p = 0.02

Expected number before 1 defective(n = 1). So

E = \frac{n}{p} = \frac{1}{0.02} = 50

Variance is:

V = \frac{np}{(1-p)^2} = \frac{0.02}{(1-0.02)^2} = 0.0208

The expected number of components tested before a defective component is found is 50, with a variance of 0.0208.

5 0
3 years ago
Conplete the square to solve the quadratic equation. x<br><img src="https://tex.z-dn.net/?f=1%20%7Bx%7D%5E%7B2%7D%20%20-%206x%20
o-na [289]

Answer:

\large\boxed{x=4\pm2\sqrt6}

Step-by-step explanation:

x^2-6x+12=2x+20\qquad\text{subtract}\ 2x\ \text{and}\ 12\ \text{from both sides}\\\\x^2-8x=8\\\\x^2-2(x)(4)=8\qquad\text{add}\ 4^2=16\ \text{to both sides}\\\\x^2-2(x)(4)+4^2=8+4^2\qquad\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\(x-4)^2=24\iff x-4=\pm\sqrt{24}\\\\x-4=\pm\sqrt{4\cdot6}\\\\x-4=\pm\sqrt4\cdot\sqrt6\\\\x-4=\pm2\sqrt6\qquad\text{add 4 to both sides}\\\\x=4\pm2\sqrt6

6 0
3 years ago
Andrew received a raise from $14,580.00 per year to $25,317.40 per year. He received
skelet666 [1.2K]

Answer:

Step-by-step explanation:

$25,317.40 is about 57.5% higher than $14,580.00

57% doesn't fit the answers you provided, so either something is missing in the question, or the numbers may be messed up, or the answer is just 57.5%.

A 2% raise would be $14,871.60 per year.

A 3% raise would be $15,017.40 per year.

A 7.4% raise would be $15,658.92 per year.

A 29% raise would be $18,808.20 per year.

I hope this helps

7 0
3 years ago
Please help me i rlly need help
Mumz [18]

Answer:

3

Step-by-step explanation:

Given a line with points; (2, 5) (3, 8).

1. Find the slope of the given line

The formula for finding the slope is:

\frac{y_{2}-y_{1} }{x_{2} - x_{1}}

Substitute in the values;

x_{1} = 2\\y_{1} = 5\\x_{2} = 3\\y_{2} = 8

\frac{8-5}{3-2}

simplify;

\frac{3}{1}

= 3

2. Find the slope of the parallel line;

Remember, when two lines are parallel, they run alongside each other, of infinitely long, but they never touch. Hence two parallel lines have the same slope. Therefore, the slope of a line that is parallel to the given one will also have the same slope as the given one, which is 3.

5 0
3 years ago
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