Answer:
To convert binary into decimal, multiply each binary digit with a power of 2 corresponding to its position.
So for example 1010 would be 1·2³ + 0·2² + 1·2¹ + 0·2⁰ = 8+2 = 10 in decimal.
now you can calculate the answers yourself!
To convert decimal into binary, you can use the following approach:
Write down the answer from right to left
A. if your number is odd, write down a 1, if it is even, write a 0
B. divide the number by 2 and round down, ie. discard any decimals (e.g., 7 / 2 = 3)
C. repeat step A until your number is 0.
example:
18 -> write down 0
18/2 = 9 -> write down 1
9/2 = 4 -> write down 0
4/2 = 2 -> write down 0
2/2 = 1 -> write down 1
1/2 = 0 finished
The result is 10010.
Answer:
h = 84
f = 132
g= 28
Step-by-step explanation:
h = 180 - 48 - 48 = 84
f = 180 - 48 = 132
g = 180 -132 - 20 = 28
Answer:
The correct answer to the following question will be "70.56".
Step-by-step explanation:
The given values are:
Loan requires, PV = $100,000
Years = 20
Number of months, n = 240
Rate interest = 4.90000%
Monthly rate, r = 0.408333%
Monthly rental payment = $725
As we know,
![PV=PMT\times (\frac{1}{r})\times [1-[\frac{1}{(1+r)^n}]]](https://tex.z-dn.net/?f=PV%3DPMT%5Ctimes%20%28%5Cfrac%7B1%7D%7Br%7D%29%5Ctimes%20%5B1-%5B%5Cfrac%7B1%7D%7B%281%2Br%29%5En%7D%5D%5D)
On putting the values in the above formula, we get
⇒ ![100000=PMT\times (\frac{1}{0.004083333})\times [1-(\frac{1}{(1+0.004083333^{240})})]](https://tex.z-dn.net/?f=100000%3DPMT%5Ctimes%20%28%5Cfrac%7B1%7D%7B0.004083333%7D%29%5Ctimes%20%5B1-%28%5Cfrac%7B1%7D%7B%281%2B0.004083333%5E%7B240%7D%29%7D%29%5D)
⇒ 
⇒ 
⇒ 
Now,
On putting the values, we get
⇒ 
⇒ 
Linear functions have to have the same slope between any 2 points
find the slope betwen them
slope betwen 2 points (x1,y1) and (x2,y2) is
(y1-y1)/(x2-x1)
given
(1,12) and (3,9)
slope=(9-12)/(3-1)=-3/2
if we wanted to chek furthere, we check (3,9) and (5,6) and fnd that the slope is also -3/2
so
y=mx+b
m=slope
b=yint
y=-3/2x+b
find b
if x=1 then y=12
12=-3/2+b
add 3/2 both sides
12+3/2=b
13+1/2=b
26/2+1/2=b
27/2=b
y=-3/2x+27/2
try them
we have 2 x values
7 and 3
input them and see their outputs
for x=7
y=-3/2(7)+27/2
y=-21/2+27/2
y=6/2
y=3
(7,3) is a valid point
for x=3
hold a second, we already have a x=3
it is (3,9)
none of them
answer is (7,3)
Let's solve your equation step-by-step.
<span>0=<span>4+<span>n/5
</span></span></span>Step 1: Simplify both sides of the equation.<span>0=<span><span><span>1/5</span>n</span>+4
</span></span>Step 2: Flip the equation.<span><span><span><span>1/5</span>n</span>+4</span>=0
</span>Step 3: Subtract 4 from both sides.<span><span><span><span><span>1/5</span>n</span>+4</span>−4</span>=<span>0−4
</span></span><span><span><span>1/5</span>n</span>=<span>−4
</span></span>Step 4: Divide both sides by 1/5.<span><span><span><span>1/5</span>n/</span><span>1/5 </span></span>=<span><span>−4/</span><span>15</span></span></span><span>n=<span>−20
</span></span>Answer:<span>n=<span>−<span>20</span></span></span>
