Answer:
Time taken by Franklin to shovel alone is 65.5 minutes.
Step-by-step explanation:
Let the time taken by Franklin to shovel alone = x minutes.
Since, the time taken by Angela to shovel = 180 minutes and the time taken by both = 48 minutes.
Then, we have,
Amount of shoveling done in 1 minute by Angela = 
Amount of shoveling done in 1 minute by both = 
Amount of shoveling done in 1 minute by Franklin= 
So, we have,
i.e. 
i.e. 
i.e. 
i.e. 
i.e. x= 65.5 minutes
Thus, the time taken by Franklin to shovel alone is 65.5 minutes.
1119.15×12=13,429.8 deposits per year
cost of principal
PVAO=13,429.8×((1−(1+0.04)^(−15))÷(0.04))=149,317.72
interest
13,429.8×15−149,317.72=52,129.28
down payment
178,000×0.15=26,700
intagible tax
178,000×0.002=356
Total cost
52,129.28+356+149,317.72+26,700
=228,503....answer
Answer: There were 350 hamburgers sold.
Step-by-step explanation:
x + (x +73)= 773 where x is the number of hamburgers sold and (x+ 73) is the number of cheese burgers sold.
x + (x+ 73)=773
2x + 73 = 773
2x + 700
x= 350
1(350)= 350
Answer:
D. The minimum y-value of g(x) approaches -3
Step-by-step explanation:
Form a table for values of x with corresponding values for f(x) and g(x)
<u>x </u> <u>f(x)=3x²-3 g(x)=2^x -3 </u>
-3 =3(-3²)-3=24 2⁻³ -3 = -2.88
-2 =3(-2²)-3=9 2⁻² -3 = -2.75
-1 =3(-1²)-3=0 2⁻¹-3 = -2.5
0 =3(0²)-3= -3 2⁰ -3 = -2
1 =3(1²)-3=0 2¹ -3 = -1
2 =3(2²)-3=9 2²- 3 = 1
3 =3(3²)-3=24 2³ -3= 5
From the table above, you can see the minimum value of y in g(x) -2.88 approaches -3
