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g100num [7]
2 years ago
5

Alexa opens a savings account with a starting balance of $10,000. She will not make any additional deposits or withdrawals. The

account earns 5% simple interest. What is the total amount that Alexa will have in her account at the end of 4 years?
Mathematics
1 answer:
Mice21 [21]2 years ago
5 0

Answer:

$12,000

Step-by-step explanation:

Use the simple interest formula: P = A(1 + rt)

P = final balance (?)

A = starting balance (10,000)

r = interest rate (0.05)

t = years (4)

P = 10,000(1 + 0.05 · 4)

P = 10,000(1 + 0.2)

P = 10,000(1.2)

P = 12,000

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Alice and Bob have two positive integers, x and y respectively, glued to their foreheads, so that each can read the other’s numb
vazorg [7]

Step-by-step explanation: |x − y| = 1, ok lets play as Alice, my number is y, and the bob number is x.

the condition says that x-y = 1 or x-y = -1.

so, if you know x, then y = 1 +y or y = y - 1. so you have two possibilities.

let's see two cases : first, let's suppose there are no code in the conversation. Then the only way of being shure of your number, is if one of them have the lowest positive number, so the other should have the next one. So if Bob have the number one, Alice knows for shure that she has the  2. Bob knows that she has a 2, but that means he could have a 1 or a 3, but when he sees that Alice is shure about her number, he knows that his number is the 1.

the second case is where the conversation may be a sort of code, saying a phrase x times and changing when x = the number of the other person, in this case, bob will have the 201 and alice the 202.

7 0
2 years ago
The first- and second-year enrollment values for a technical school are shown in the table below: Enrollment at a Technical Scho
lyudmila [28]

Answer:

  • <u><em>The solution to f(x) = s(x) is x = 2012. </em></u>

Explanation:

<u>Rewrite the table and the choices for better understanding:</u>

<em>Enrollment at a Technical School </em>

Year (x)       First Year f(x)      Second Year s(x)

2009                  785                        756

2010                   740                        785

2011                    690                        710

2012                   732                         732

2013                   781                          755

Which of the following statements is true based on the data in the table?

  • The solution to f(x) = s(x) is x = 2012.
  • The solution to f(x) = s(x) is x = 732.
  • The solution to f(x) = s(x) is x = 2011.
  • The solution to f(x) = s(x) is x = 710.

<h2>Solution</h2>

The question requires to find which of the options represents the solution to f(x) = s(x).

That means that you must find the year (value of x) for which the two functions, the enrollment the first year, f(x), and the enrollment the second year s(x), are equal.

The table shows that the values of f(x) and s(x) are equal to 732 (students enrolled) in the year 2012,<em> x = 2012. </em>

Thus, the correct choice is the third one:

  • The solution to f(x) = s(x) is x = 2012.
5 0
3 years ago
What is the equation of the following line? Be sure to scroll down first to see
Marianna [84]
Y=2/7x is the correct answer
6 0
2 years ago
Help please...I don't get this (40 points and I'll give brainliest)
dexar [7]

A x = 0

using the law of exponents a^{0} = 1

for (6² )^ x = 1 then x = 0

B note that 6^{0} = 1 ⇒ x = 1

2 → 2^8 × 3^(-5) × 1^(-2) × 3^(-8) × 2^(-12) × 2^(28)

= 2^(8 -12 + 28) × 1 × 3^(- 5 - 8)

= 2^24 × 3^(- 13) = 2^(24)/3^(13) = 10.523 ( 3 dec. places)




6 0
3 years ago
Hank and his two friends are attending a concert. They purchase tickets and parking for a total of 129.00 they decide to split i
Irina-Kira [14]

Answer:

$43.00

Step-by-step explanation:

$129.00 / 3=$43.00

3 0
2 years ago
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