The percentage of eighth-graders that chose History as their favorite subject is 19%
<h3>Percentages and proportion</h3>
From the given table, we have the following parameters
Total students in the 8th grade = 124 students
Total number of 8th graders that chose history = 11 + 12
Total number of 8th graders that chose history = 23
Required percentage = 23/124 * 100
Required percentage = 19%
Hence the percentage of eighth-graders that chose History as their favorite subject is 19%
Learn more on percentages here: brainly.com/question/24304697
Answer:
Slope of PV = -4
Step-by-step explanation:
Coordinates of the vertices of the given triangle PSV,
P → (2, 4)
S → (3, 4)
V → (3, 0)
Slope of the segment between two points
and
is given by,
Slope = 
Therefore, slope of segment PV will be,
Slope = 
= -4
Slope of PV = -4
The simple interest formula is A = P(1 + rt) in which A is the total of money after interest, P is your principal (starting) amount, r is the interest rate, and t is the amount of time.
For 1), plug in your variables to get A = 1500(1 + (7/100*1.5)). Simplify, and you'll get A = 1500*1.105, and finally your answer, $1,657.50.
<span>For 2), add your interest and principal amount, then plug in your variables to get 676 = 520(1 + 5r). Distribute to get 676 = 520 + 2600r. Subtract 520 from 676 to get 156 = 2600r, then divide both sides by 2600 to get a rate of 0.06, or 6%.
For 3), add your interest and principal amount, then plug in your variables to get 1599 = 1300(1 + 5.75t). Distribute to get 1599 = 1300 + 7475t. Subtract 1300 from both sides to get 299 = 7475t, and then divide both sides by 7475 to get .04 = t, or a time period of four years.
The other two problems can be solved using the formula and steps described above. If you still need help with them, leave a comment and I will solve those as well. </span>