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2 years ago

9

Sally borrowed $9,000 from the bank to buy a new car. She has to pay back the money in 5 years. After 5 years, she will owe $1,8

00 in interest. What the simple interest rate on her loan? *

1 answer:

Aneli [31]2 years ago

6 0

7.42 would be her interest rate.

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180 students in a tenth grade high school class take a survey about which video game consoles they own.

Fantom [35]

Answer:

P(A) = 44.44%

P(B) = 50%

P(B|A) = 37.5%

P(B|A) different from P(B).

A and B are independent.

Step-by-step explanation:

If we have a total of 180 students, and 80 of them have a Playstation, we have that P(A) = 80/180 = 0.4444 = 44.44%

If we have 90 students that have a Xbox, we have that P(B) = 90/180 = 0.5 = 50%

If we have 30 students that have both consoles, we have that P(A and B) = 30/180 = 0.1667 = 16.67%

To find P(B|A), we will find for a student that has an Xbox inside the group of students that has a Playstation, that is, we have 30 students in a total of 80 students, so P(B|A) = 30/80 = 0.375 = 37.5%

P(B|A) is different from P(B), the first is 37.5% and the second is 50%, so events A and B are independent events.

5 0

2 years ago

Given limit f(x) = 4 as x approaches 0. What is limit 1/4[f(x)]^4 as x approaches 0?

stepladder [879]

Answer:

$\displaystyle 64$

General Formulas and Concepts:

<u>Calculus</u>

Limits

Limit Rule [Variable Direct Substitution]: $\displaystyle \lim_{x \to c} x = c$

Limit Rule [Variable Direct Substitution Exponential]: $\displaystyle \lim_{x \to c} x^n = c^n$

Limit Property [Multiplied Constant]: $\displaystyle \lim_{x \to c} bf(x) = b \lim_{x \to c} f(x)$

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

$\displaystyle \lim_{x \to 0} f(x) = 4$

<u>Step 2: Solve</u>

Rewrite [Limit Property - Multiplied Constant]: $\displaystyle \lim_{x \to 0} \frac{1}{4}[f(x)]^4 = \frac{1}{4} \lim_{x \to 0} [f(x)]^4$
Evaluate limit [Limit Rule - Variable Direct Substitution Exponential]: $\displaystyle \lim_{x \to 0} \frac{1}{4}[f(x)]^4 = \frac{1}{4}(4^4)$
Simplify: $\displaystyle \lim_{x \to 0} \frac{1}{4}[f(x)]^4 = 64$

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Limits

Book: College Calculus 10e

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2 years ago

Mario needs 1024 MB to make a backup of his computer files, for this he has 3 USB memories with a capacity of 256 MB. How many U

Brut [27]

256 x 3 is uhh 768 so it would be 2 of the 128 sticks

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2 years ago

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When 59,527 is divided by 23, the quotient is 2,588 R ____

Katyanochek1 [597]

Answer: the answer is 59,527 is divided by 23, the quotient is 2,588 R 3

the answer is 3 or remainder 3

Step-by-step explanation: brainlest please

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3 years ago

What are the measures of Q and M for parallelogram. (32x-18)°M (25x+10)°

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Answer: this is what i know

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3 years ago