Answer:
(-4, -3)
(-4,3)
(4,3)
The clock wise rotation of the coordinate will be
(3,4)
(3,-4)
(-3,-4)
(-3,4)
Answer:
<h3>$4,789.99</h3>
Step-by-step explanation:
Using the formula for calculating the compound interest
A = P(1+r)^t
P is the principal = $3500
r is the rate = 4% = 0.04
T is the time = 8 years
Substitute
A = 3500(1+0.04)^8
A = 3500(1.04)^8
A = 3500(1.3686)
A = 4,789.99
Hence the resulting balance is $4,789.99
Answer:
a)5/9 yards=0.556yards
b)10/9 yards=1.11 yards
Step-by-step explanation:
for the part a
To solve this exercise we must divide the total distance traveled by the grasshopper (5 yards) by the number of jumps that were made (9).

if you use the calculator you will realize that the value is 0.55yards
for the part b
knowing the distance traveled in a jump, we multiply this value by two to find out how much is the distance traveled in 2 jumps

if you use the calculator you will realize that the value is 1.11 yards
Answer:
Step-by-step explanation:
Part A:
-mk-120 > 95
-mk > 215
Divide both sides by -k
Since we are dividing by a negative, the inequality sign flips
m < 215/-k
Part B:
2c-9fb = 45
Subtract 2c from both sides
-9fb = 45-2c
Divide both sides by -9b
f = (45-2c) / -9b
Please let me know if this helps :)!
Answer:
The average rate of change over the interval [9,10] is greater than that over the interval [5,8] by 6490.
Step-by-step explanation:
The value of f(x) = 4052 for x = 9 and f(x) = 11014 for x = 10.
Therefore, the average rate of change of f(x) with respect to x over the interval [9,10] is given by
=
=
Now, the value of f(x) = 75 for x = 5 and f(x) = 1491 for x = 8.
Therefore, the average rate of change of f(x) with respect to x over the interval [5,8] is given by
=
=
Therefore, the average rate of change over the interval [9,10] is greater than that over the interval [5,8] by (6962 - 472) = 6490. (Answer)