Answer:
A. 0
B. -66
C. 4
D. 998
E. -12
Step-by-step explanation:
A. By definition, the sum of anything and its additive inverse is zero.
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B. If you have trouble with sums, your calculator can help.
-22 + (-44) = -22 -44 = -66
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C. -36/x = -9 can be solved by multiplying by x and dividing by -9:
-36 = -9x
-36/-9 = x = 4
Since the product of the divisor and quotient is the dividend, dividing the dividend by either gives the other. Here, your dividend is -36 and your quotient is -9. To find the divisor, you can divide -36 by -9, as we did.
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D. The absolute value function changes the sign of negative numbers to positive:
|-998| = 998
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E. If you have trouble with sums, your calculator can help.
(−2)−[(−3)−(−7)−(−6)]
= -2 -(-3 +7 +6) = -2 -10 = -12
9514 1404 393
Answer:
(a) 26 units
Step-by-step explanation:
The left-side vertical line extends from y = -3 to y = +3, so is 3-(-3) = 6 units long.
The bottom side horizontal line extends from x = -5 to x = 2, so is 2 -(-5) - 7 units long.
The sum of these two sides is 6 + 7 = 13 units. These two sides make up half of the perimeter, which is the total length of all four sides.
The perimeter is 2 × 13 units = 26 units.
Got a picture for this question?
Answer:
8*2^(n-1)
Step-by-step explanation:
This is a geometric sequence since we multiply from the previous term.
a_n = a_1 * common ratio^(n-1) where a_n is the nth number and a_1 is the first.
The first term is 8, so we have
a_n = 8*<common ratio>^(n-1) = 8*2^(n-1)
Answer:
- $17,500 at 14%
- $16,000 at 12%
Step-by-step explanation:
Let x represent the amount loaned at 14%. Then the total interest earned is ...
0.14x +0.12(33,500 -x) = 4,370
0.02x = 350 . . . . . . . . . . subtract 4020 and simplify
x = 17500 . . . . . . . . . divide by 0.02
The amount loaned at 12% is $33,500 -17,500 = $16,000.
$17,500 was loaned at 14%
$16,000 was loaned at 12%
