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kari74 [83]
1 year ago
11

.

Mathematics
1 answer:
Mariana [72]1 year ago
3 0

The simple interest rate is $46,800

<h3>What is simple interest?</h3>

Simple interest  serves as the interest that is based on the  principal amount of a loan  or in some cases the  deposit in a savings account.

interest rate  = 6.5%= 6.5/100= 0.065

time = 12 years

principal = $60,000

Simple interest formular =(Principal x Interest Rate x Time)/100

Simple interest = (12* 0.065* 60000)/100

=$46,800

Therefore, simple interest rate is $46,800

Learn more about simple interest at:

brainly.com/question/20690803

#SPJ1

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Why is #2 the expression ln(2e)^3x equivalent to choice B?
motikmotik
Hello:
ln(2e^3x) =ln2+lne^3x
<span>                =ln2 +3xlne
                 = ln2+3x        .....lne=1       
               </span><span>choice B</span>
8 0
3 years ago
35. V112 + V63<br> How do I solve this please
konstantin123 [22]

Answer: 175V

Step-by-step explanation:

V112+V63=112v+63V

Add them together because the terms are like terms. Therfore, 112V+63V=175V

4 0
3 years ago
Does anybody know how to do time with exponential decay
My name is Ann [436]
<span>From the message you sent me:

when you breathe normally, about 12 % of the air of your lungs is replaced with each breath. how much of the original 500 ml remains after 50 breaths

If you think of number of breaths that you take as a time measurement, you can model the amount of air from the first breath you take left in your lungs with the recursive function

b_n=0.12\times b_{n-1}

Why does this work? Initially, you start with 500 mL of air that you breathe in, so b_1=500\text{ mL}. After the second breath, you have 12% of the original air left in your lungs, or b_2=0.12\timesb_1=0.12\times500=60\text{ mL}. After the third breath, you have b_3=0.12\timesb_2=0.12\times60=7.2\text{ mL}, and so on.

You can find the amount of original air left in your lungs after n breaths by solving for b_n explicitly. This isn't too hard:

b_n=0.12b_{n-1}=0.12(0.12b_{n-2})=0.12^2b_{n-2}=0.12(0.12b_{n-3})=0.12^3b_{n-3}=\cdots

and so on. The pattern is such that you arrive at

b_n=0.12^{n-1}b_1

and so the amount of air remaining after 50 breaths is

b_{50}=0.12^{50-1}b_1=0.12^{49}\times500\approx3.7918\times10^{-43}

which is a very small number close to zero.</span>
5 0
3 years ago
What values for q (0 ≤q≤2π)<br> satisfy the equation?<br><br> 22√sin q + 2 = 0
Vesna [10]
Answer:
\frac{3 \pi }{4} , \frac{7 \pi }{4}

Explanation:
2√2 sin(q) + 2 = 0
2√2 sin(q) = -2
sin(q) = \frac{-2}{2 \sqrt{2} }
sin(q) = \frac{- \sqrt{2} }{2}

Now, we know that:
sin (45) = \frac{ \sqrt{2} }{2}

From the ASTC rule, we know that the sine function is negative in the third and fourth quadrant.
This means that:
either q = 90 + 45 = 135° which is equivalent to \frac{3 \pi }{4}
or q = 270 + 45 = 315° which is equivalent to \frac{7 \pi }{4}

Hope this helps :)
6 0
3 years ago
Read 2 more answers
A professor using an open source introductory statistics book predicts that 10% of the students will purchase a hard copy of the
Likurg_2 [28]

Answer: The professor was not accurate with his hypothesis.

Null hypothesis: P1 = 12.5%, P2 = 42.5%, P3 = 45%

The alternate hypothesis: At least one proportion of the student will differ from the others.

Step-by-step explanation: To check if the professors hypothesis were inaccurate.

What percentage of student bought a hard copy of the book.

(25 ÷ 200) × 100 = 12.5%

What percentage of the student printed it from the web.

(85 ÷ 200) × 100 = 42.5%

What percentage of the students read it online.

(90 ÷ 200) × 100 = 45%

This means that the professor was not accurate with his hypothesis. Because the proportion of student in his hypothesis was not the same in the actual.

Therefore; the null hypothesis are

P1 = 12.5%, P2 = 42.5%, P3 = 45%

The alternative hypothesis will state that at least one of the proportion will be different from the others.

5 0
3 years ago
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