Answer:
$6750 in the bank account and $20,250 in the stock fund
Step-by-step explanation:
If B is the money they put in the bank and S is the amount they put in the stock fund, then:
B + S = 27000
1.024 B + 1.072 S = 1.06 × 27000
Solving the system of equations:
1.024 (27000 − S) + 1.072 S = 28620
27648 − 1.024 S + 1.072 S = 28620
0.048 S = 972
S = 20250
B = 27000 − S
B = 6750
They should put $6750 in the bank account and $20,250 in the stock fund.
Answer:
<h2><u><em>
3.2$ and 4.8$</em></u></h2>
Step-by-step explanation:
divide $8 in the ratio 2:3
8 : (2 + 3) = 1.6 (unity)
1.6 * 2 = 3.2 (ratio2)
1.6 * 3 = 4.8 (ratio 3)
----------
3.2 + 4.8 = 8
the answer is good
aerage rate of change is just the slope from the endpoints of teh interval
ie ![averagerateofchange=slope=\frac{f(5)-f(1)}{5-1}](https://tex.z-dn.net/?f=averagerateofchange%3Dslope%3D%5Cfrac%7Bf%285%29-f%281%29%7D%7B5-1%7D)
assuming you mean ![f(x)=480(0.3)^x](https://tex.z-dn.net/?f=f%28x%29%3D480%280.3%29%5Ex)
evalaute f(5) and f(1)
f(5)=480(0.3)^5=1.1664
f(1)=480(0.3)^1=144
average rate of change=(1.1664-144)/(5-1)=-35.7084
the average rate of change of the function on the interval x=1 to x=5 is -35.7084
Answer:
2:1 that is 2 inches in real life is equal to 1 inch in the drawing.
Step-by-step explanation:
We are given the following in the question:
Longest side of the pool = 10 inches
Longest side of the pool in drawing = 5 inches
Scale:
We find the ratio of the real length of pool and the measurement of the length of the pool in the drawing.
![\text{Scale} = \dfrac{10\text{ inches}}{5\text{ inches}} = 2:1](https://tex.z-dn.net/?f=%5Ctext%7BScale%7D%20%3D%20%5Cdfrac%7B10%5Ctext%7B%20inches%7D%7D%7B5%5Ctext%7B%20inches%7D%7D%20%3D%202%3A1)
Thus, we can say Paco's new drawing follows a scale of 2:1 that is 2 inches in real life is equal to 1 inch in the drawing.
The to this question is 5/4 because i found the common denominator and added my numerator. so thats how i got my answer