This is an arithmetic sequence with first term (a) = 11, number of terms (n) = 57, sum of nth term (Sn) = 19,779.
Let the amount of money she saved more each month be d, then
Sn = n/2(2a + (n - 1)d)
19,779 = 57/2(2(11) + (57 - 1)d)
19,779 = 28.5(22 + 56d)
19,779 = 627 + 1,596d
19,779 - 627 = 1,596d
d = 19,152/1,596 = 12
Therefore, she saved $12.00 more each month.
Answer:
-90
Step-by-step explanation:
(8-h)(jh+jh)
Since the values of h and j are given, we use substitution to replace the variables with their number values
(8-(-1))(j(-1)+j(-1) replaced all the h with -1
(8-(-1))((5)(-1) + (5)(-1)) replaced all the j with 5
Then we solve inside the parenthesis first
(8+1)(-5+(-5))
(9)(-10)
Then, multiply
-90
Answer:
30 inches
Step-by-step explanation:
We know that the formula for calculate the volume of a cube is:
∨=8³
Where "s" is the length of each side.
Since the volume of each cube-shaped box is 125 cubic inches, we can find "s":
125 in³=8³
∛125 in³=8
8=5 in
We know that the display has six layers of boxes, then , to calculate the height of the display, we can multiply the value of "s" obtained before by 6.
Then:
height= (5 in)(6)=30 in
Answer:
1 31/36 is your answer
Step-by-step explanation:
Find common denominators. Note that what you do to the denominator, you must do to the numerator;
(-7/18)(2/2) = (-14/36)
(-9/4)(9/9) = (-81/36)
Combine the terms:
(-14/36) - (-81/36)
Note that two negative signs directly next to each other equals a positive sign.
(-14/36) + 81/36
-14/36 + 81/36
(-14 + 81)/36
Combine like terms. Solve the parenthesis:
(67)/36
Change to a mixed fraction:
(67/36) = 1 31/36
1 31/36 is your answer.
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