Answer:
$36,566
Step-by-step explanation:
"The calculator provided" will tell you the monthly payment is $338.57, so the 108 payments made over the period of 9 years will total ...
108 × $338.57 = $36,565.56
Rounded to the nearest dollar, the amount is $36,566.
Answer:
8.923 to the nearest half is 8.9
Step-by-step explanation:
Answer:
Area of field = 10 cm²
Step-by-step explanation:
Given field is a trapezium;
Parallel sides of given field are; 1¹/₂ cm and 3¹/₂ cm
Height of trapezium = 4 cm
Find:
Area of field
Computation:
Area of field = Area of trapezium
Area of trapezium = [Sum of Parallel sides / 2][h]
Area of field = [(1¹/₂ + 3¹/₂) / 2][4]
Area of field = [(5) / 2][4]
Area of field = [2.5][4]
Area of field = 10 cm²
How to do the vertex is using the formula -b/2a
your a=-9 and b is -18 but it going to become +18 because you are multiplying the -(-18) which there a 1 in front the neg. you going to multiply the -9 by 2 and do 18/18 so your x= -1. You got your x, you going to put in the equation as y=-9(-1)^2-18(-1)-1 then you got your y... hope this is helpful :)
Answer:
Proofs are in the explantion.
Step-by-step explanation:
We are given the following:
1) 
for integer 
.
1) 
for integer 
.
a)
Proof:
We want to show 
.
So we have the two equations:
a-b=kn and c-d=mn and we want to show for some integer r that we have
(a+c)-(b+d)=rn. If we do that we would have shown that .
kn+mn = (a-b)+(c-d)
(k+m)n = a-b+ c-d
(k+m)n = (a+c)+(-b-d)
(k+m)n = (a+c)-(b+d)
k+m is is just an integer
So we found integer r such that (a+c)-(b+d)=rn.
Therefore, .
//
b) Proof:
We want to show 
.
So we have the two equations:
a-b=kn and c-d=mn and we want to show for some integer r that we have
(ac)-(bd)=tn. If we do that we would have shown that .
If a-b=kn, then a=b+kn.
If c-d=mn, then c=d+mn.
ac-bd = (b+kn)(d+mn)-bd
= bd+bmn+dkn+kmn^2-bd
= bmn+dkn+kmn^2
= n(bm+dk+kmn)
So the integer t such that (ac)-(bd)=tn is bm+dk+kmn.
Therefore, .
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