5x+y= -5 , i hope I help you
Answer:
48.06 to the nearest hundredth.
Step-by-step explanation:
f(x) = -16x^2 + 2x + 48
To find the maximum height we convert to vertex form:
= -16(x^2 + 1/8x) + 48
= -16[x + 1/16)^2 - 1/256] + 48
= -16(x + 1.16)^2 + 16/256 + 48
= 48.0625.
Answer:
x
=
10
,
y
=
2
Step-by-step explanation:
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>
Answer:
<u>If we remove 61 from the data set, the median changes from 87.5 to 93.</u>
Step-by-step explanation:
1. Let's calculate the median of the original data set:
Median = (3rd term + 4th term)/2 because the number of terms are even and our median mark is the average of the two middle marks, in this case, 82 and 93.
Median = (82 + 93)/2
Median = 87.5
2. Let's calculate the median of the data set removing 61:
Median = 3rd term because our median mark is the middle mark, in this case, 93. It is the middle mark because there are 2 scores before it (80 and 82) and 2 scores (94 and 98) after it.
Median = 93
