compare the 5 and 10 dimension then the 7 and 14 dimensions
10/5 =2
14/7 =2
they both are the same ratio/factor
the factor is 2
Your given expression has no "b", so you can rule out selections b, c, e.
The expression is not equal to 1, so you can rule out selection a.
That leaves selection d, which is the correct choice:
... d. 1/x^a
_____
The rule for exponents is that an exponent in the numerator is the same as its opposite in the denominator, and vice versa.
The exponent of <em>-a</em> in the numerator is the same as an exponent of <em>a</em> in the denominator.
Answer: $7800 was invested at 9%
$5900 was invested at 3%
Step-by-step explanation:
Let x represent the amount invested in the fund that paid a dividend of 9%.
Let y represent the amount invested in the fund that paid a dividend of 3%.
Last year, the first fund paid a dividend of 9% and the second a dividend of 3%, and you received a total of $879. This means that
0.09x + 0.03y = 879- - - - - - - - - 1
This year, the first fund paid a 10% dividend and the second only 1%, and you received a total of $839. It means that
0.1x + 0.01y = 839 - - - - - - - - - -2
Multiplying equation 1 by 0.1 and equation 2 by 0.09, it becomes
0.009x + 0.003y = 87.9
0.009x + 0.0009y = 75.51
Subtracting, it becomes
0.0021y = 12.39
y = 12.39/0.0021
y = 5900
Substituting y = 5900 into equation 1, it becomes
0.09x + 0.03 × 5900 = 879
0.09x + 177 = 879
0.09x = 879 - 177
0.09x = 702
x = 702/0.09
x = 7800
Answer:
$4,523.40
Step-by-step explanation:
The cell phone cost is $124.65 per month. With 12 months in a year, we multiply $124.65 x 12 to get the answer $1,507.80. Since one year equals $1,507.80, we multiply this answer by 3 for 3 years to get $4,523.40. Thus three years of service with $124.65 a month would equal $4,523.40.
Answer:
900
Step-by-step explanation:
A candidate got 82%votes.
Loosing candidate get=(100-82)=18%
Difference between two votes.
=(82-18)%=64%
Let be the Total vote is=x.
64% of the total vote=576
∴The total votes that were polled are 900.
