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VMariaS [17]
3 years ago
6

What two mixed numbers between 3 and 4 have a product between 9 and 12

Mathematics
1 answer:
madreJ [45]3 years ago
4 0
Here's an answer: 

3 1/4 and
3  1/2
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In a right triangle, one of the exterior angles measures 155°. What is the measure of the non-adjacent, non-right angle?
tangare [24]
180 - 155 = 25
90 - 25 = 65
<span>B: 65 </span>°
3 0
3 years ago
Last one anyone that can help me out?
Usimov [2.4K]

Answer:

Part a. t = 7.29 years.

Part b. t = 27.73 years.

Part c. p = $3894.00

Step-by-step explanation:

The formula for continuous compounding is: A = p*e^(rt); where A is the amount after compounding, p is the principle, e is the mathematical constant (2.718281), r is the rate of interest, and t is the time in years.

Part a. It is given that p = $2000, r = 2.5%, and A = $2400. In this part, t is unknown. Therefore: 2400 = 2000*e^(2.5t). This implies 1.2 = e^(0.025t). Taking natural logarithm on both sides yields ln(1.2) = ln(e^(0.025t)). A logarithmic property is that the power of the logarithmic expression can be shifted on the left side of the whole expression, thus multiplying it with the expression. Therefore, ln(1.2) = 0.025t*ln(e). Since ln(e) = 1, and making t the subject gives t = ln(1.2)/0.025. This means that t = 7.29 years (rounded to the nearest 2 decimal places)!!!

Part b. It is given that p = $2000, r = 2.5%, and A = $4000. In this part, t is unknown. Therefore: 4000 = 2000*e^(2.5t). This implies 2 = e^(0.025t). Taking natural logarithm on both sides yields ln(2) = ln(e^(0.025t)). A logarithmic property is that the power of the logarithmic expression can be shifted on the left side of the whole expression, thus multiplying it with the expression. Therefore, ln(2) = 0.025t*ln(e). Since ln(e) = 1, and making t the subject gives t = ln(2)/0.025. This means that t = 27.73 years (rounded to the nearest 2 decimal places)!!!

Part c. It is given that A = $5000, r = 2.5%, and t = 10 years. In this part, p is unknown. Therefore 5000 = p*e^(0.025*10). This implies 5000 = p*e^(0.25). Making p the subject gives p = 5000/e^0.25. This means that p = $3894.00(rounded to the nearest 2 decimal places)!!!

4 0
3 years ago
What is 1.16 as afraction
saul85 [17]

Answer:

23.2/20

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
The sum of two numbers is equal to 70. Which of the following functions can be use to find the product of the two numbers if one
Temka [501]
Let x=number 1 let y=number2
there sum is equal to 70
then

number1+number2=70

substituting

x+y=70

y=70-x
let there product will be p
p=xy
substituting
p=x(70-x)
which is choice c

4 0
3 years ago
jamie and emily are married and make a total annual gross pay of 91,500. Use the table below to calculate their total and federa
olya-2409 [2.1K]

Their total income tax is $10,980.

<h3><u /></h3><h3><u>Percentages</u></h3>

Given that Jamie and Emily are married and make a total annual gross pay of $91,500, to determine their total income tax at 12% rate, the following calculation must be performed:

  • 91500 x 12/100 = X
  • 91500 x 0.12 = X
  • 10980 = X

Therefore, their total income tax is $10,980.

Learn more about percentages in brainly.com/question/1691136

8 0
2 years ago
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