Answer:
-1078
Step-by-step explanation:
To find the nth term in an arithmetic sequence we use the following formula
aₙ=a₁+(n-1)*d
Where a₁ is the first time, and d is the common difference (in this case -20)
So we have
2+(55-1)*-20
2+(54)*-20
2-1080
-1078
It is given that the scale model of a rectangular garden is 1.5 ft by 4 ft. The scale model is enlarged by a scale factor of 7 to create the actual garden.
Therefore, we can see clearly that the width of the scale model is 1.5 feet. Hence, the width of the actual garden which has been enlarged by a scale factor of 7 will be 7 times the width of the scale model.
Thus the width of the actual garden will be:
feet
In a similar fashion the length of the actual garden will be
feet
Thus, the area of the actual garden will be:

As we can see, out of the given options, the last option is the correct one.
Answer:
The average rate of change for the given function in the interval (-5, -1) is 0 (zero)
Step-by-step explanation:
The average rate of change of a function over an interval is the quotient between the difference between the function evaluated at the ends of the interval divided by the length of the interval. That is for our case:
the average rte of change of h(t) in the interval (-5, -1) is:

so we find:

then the average rate of change becomes:

Answer:
Step-by-step explanation
- Amount of discount: 20%= 0.20; 0.20×42= $8.4
- Sale price: $42-$8.4= $33.6
For interest question, plug in the values:
P= $3200
r= 3%÷100 = 0.03
t= 4 years
Calculate:
I=Prt
= 3200×0.03×4
=$384