Answer:
5x-42
Step-by-step explanation:
5x-7(2)-7(4)
5x-14-28
5x-42
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)!!!
The way to find this out is you want to take the number of seeds and divide it by the amount he would like in the pack. You want to see how many 12s can fit into 360. 360/12 if you divide 360 by 12, you will come to your total and final answer of 30 :)
Answer:
10°
Step-by-step explanation:
the sum of interior angles of triangle is 180°
so. 8x+x+90°=180°
9x=90°
x=10°
Answer:
The statement that is true about dot plot is:
A dot plot shows the frequency of the individual values of any given data set
Step-by-step explanation:
A dot plot also known as a dot chart or a strip plot is just a display of the data depending upon the frequency of the values.
The dot plot is somewhat like the histogram but the difference is:
A histogram shows the frequency of an interval of values of any given data set.
for example:
we may make a histogram for the weight of students of a class.
since we may divide the weight of the students into some interval.
whereas the dot plot gives the frequency of the individual data points or discrete data points.
for example:
we may plot a dot plot for rolling a number cube 20 times.
Hence, the correct statement is:
A dot plot shows the frequency of the individual values or of any given data set.
