Answer:
slope=0
Step-by-step explanation:
Slope (m) = ΔY
/ΔX
=0
ΔX = -3 – 6 = -9
ΔY = 8 – 8 = 0
Distance (d) = √ΔX2 + ΔY2 = √81 = 9
Equation of the line:
y = 0x + 8
When x=0, y = 8
Answer:
<h2>
19/3</h2>
Step-by-step explanation:
Given the expression
, we are to find the value of q;

Hence the value of q is 19/3
Answer:
4÷7=0.57142857
Step-by-step explanation:
nearest thousandths...
0.517
in decimals... we start in the tenths, hundredths then thousandths.
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.
Answer:
12
Step-by-step explanation:
This is a joint variation problem:
z varies directly as x and y
Interpreting this;
z ∝ xy
Therefore;
z = kxy
z = 6, x = 2, y = 6
Now find k,
6 = 2 x 6 x k
6 = 12k
k =
To find the value of z;
x = 3, y = 8
z =
x 3 x 8 = 12