Explanation:The initial number of horses = 24
year = 2011
Coordinates (2011, 24)
when the number of horses became 32, year was 2014
Coordinates (2014, 32)
We find the slope = rate of change
slope = change in number of horses/change in number of years
slope = (32-24)/(2014-2011)
slope = 8/3
The point slope formula:


The number of horses in year 2020
using points: (2011, 24) and (2020, y), we equate with the slope since it is constant for any two points on this model.
8/3 = (y - 24)/(2020 - 2011)
8/3 = (y - 24)/9
cross multiply:
8(9) = 3(y - 24)
72 = 3y - 72
72 + 72 = 3y
144 = 3y
144/3 = 3y/3
y = 48
Hence, there will be 48horses in 2020 (option A)
Answer: 1/2x + 1/3
Step-by-step explanation:
Given:
1/4(x) + 3/4(x) - 1/2(x) + 1 - 2/3
Step 1: Combine like terms
1/4(x) and 3/4(x) have a common denominator of 4. This means that you can add them together.
1/4(x) + 3/4(x) = 4/4(x) = x
Step 2: Find the common denominator of x in step 1 and combine like terms
x - 1/2(x) = 2/2(x) - 1/2(x)
Now that we have the common denominator of x, we can combine like terms. Its the same as adding or subtracting fractions without a variable. In this case, you must subtract 1/2(x) from 2/2(x).
2/2(x) - 1/2(x) = 1/2(x)
Step 3: Find the common denominator of the constants and combine like terms
1 - 2/3 = 3/3 - 2/3
Now combine like terms. Simply subtract 2/3 from 3/3.
3/3 - 2/3 = 1/3
Step 4: Write the simplified equation
1/2(x) + 1/3
This is the answer
<u>Answer:</u>
The yield to maturity of the bonds is 11%
<u>Explanation:</u>
Price at which the bonds is currently trading = 283.30$
Face Value = $1000
Coupon rate = 2%
Hence the coupon bond rate = $1000 ×2%
= 
=$20
Years to maturity: 20 years
Formula used:
=
Where C is the bond coupon rate
F is the face value
P is the price
N is the number of years
=
=11%
The yield to maturity of the bonds is 11%
Answer:
I’m coming back to this hold on a sec brotha and be patient
Step-by-step explanation: