Answer:
The average weight of okapi is 290 kg
The average weight of llama is 160 kg
Step-by-step explanation:
To solve the question, we are to resolve the word problem as follows;
Let the average weight of Okapi be X
The average weight of llamas be Y
X + Y = 450 and
3 Y = X + 190
Solving the above simultaneous equation, we have
X = 450 - Y
∴ 3·Y = 450-Y+190
4·Y =640
Y = 160 and X = 450 - 160 = 290
Therefore, the average weight of okapi = 290 kg while the average weight of llama = 160 kg.
Answer:
Step-by-step explanation:
The interest rate will be equal to 24% in 2 years.
<h3>What is compound interest?</h3>
Compound interest is the interest levied on the interest. The formula for the calculation of compound interest is given as:-
Given that:-
- Find the interest rate if $32 increased to $50 in 2 years.
The interest rate will be calculated by using the following formula:-
![A = P[1+\dfrac{r}{n}]^{nt}](https://tex.z-dn.net/?f=A%20%3D%20P%5B1%2B%5Cdfrac%7Br%7D%7Bn%7D%5D%5E%7Bnt%7D)
![50=32[1+\dfrac{r}{1}]^{2}](https://tex.z-dn.net/?f=50%3D32%5B1%2B%5Cdfrac%7Br%7D%7B1%7D%5D%5E%7B2%7D)

1.56 = ( 1 + r )²
√1.56 = ( 1 + r )
r = 1.24 - 1
r = 0.24
r = 24%
Therefore interest rate will be equal to 24% in 2 years.
To know more about Compound interest follow
brainly.com/question/24924853
#SPJ1
Answer:
slope = -3/2
Step-by-step explanation:
The slope of a line passing through the two points P=(x1,y1) and Q=(x2,y2) is given by m=y2−y1/x2−x1.
We have that x1=2, y1=5, x2=8, y2=−4.
Plug the given values into the formula for slope: m= (-4)-(5)/ (8)-(2) = -9/6 = -3/2
the slope of the line is m = -3/2
The art teacher still needs 68 sticks of clay