Yes................................................
Answer:
Answer Expert Verified y = (slope) x + (y-intercept) . Right away, you know that this line goes through the origin ...
Answer:
16 < w < 21
Step-by-step explanation:
Given that :
Width if mirror = w
Length of mirror = l
L = 6 + w
Perimeter of mirror < 96 and > 76
Possible width of the mirror
Perimeter of a rectangle :
2(l + w)
2(6 + w + w)
= 2(6 + 2w)
= 12 + 4w
Hence,
76 < perimeter < 96
76 < 12 + 4w < 96
76 - 12 < 4w < 96 - 12
64 < 4w < 84
16 < w < 21
Answer:
Total amount that Matthew's bank will receive is $10099.81.
Step-by-step explanation:
We need to find the amount Matthew's bank will receive after lending him $8,000 for four years at an interest rate of 6 percent, compounded annually.
The formula for compound interest is:

Where A = future value
P= Principal Amount
r = interest rate
and n= time
So in the question we are given:
P= $8000
r = 6% or 0.06
t = 4 (since 4 yeras compounded annually)
A= 8000*(1+0.06)^4
A= 8000*(1.06)^4
A= 10099.81
So, total amount that Matthew's bank will receive is $10099.81.
So first multiply the whole numbers.
6x2=12
Now multiply 6 and 7. When multiplying a fraction like this, do the numerator ONLY. So it ends up being 42/10. That can be turned to a mixed number. To do that, find out how many times 10 can go into 42. The highest whole number is 4.
10x4=40 and there's 2 left over. So make it 2/10 which can be simplified to 1/5
Now add.
12+4=16+1/5= 16 1/5