Answer:
Here we have an exponential growth, where the rate of growth is 2% or 1.02, and the initial value is $250.
Then we can write this as:
M(y) = $250*(1.02)^y
where y is the number of years and M is the amount of money.
the graph of this equation will help you to find the number of years needed to have $282 in the account, but we can solve it also only with math.
M(y) = $282 = $250*(1.02)^y
$282/$250 = 1.02^y
1.128 = 1.02^y
ln(1.128)/ln(1.02) = y = 6.08
So the graph is correct.
Answer:
Decrease in temperature = 4.6714°C
Step-by-step explanation:
We know that the formula fro deflection is:
δ = PL/AE + LαΔT
As deflection is equal to zero in this case, the formula becomes
ΔT = -P/αAE -------------- equation (1)
Now,
we see that only vertical force acting is weight
W = mg = 100*9.81
W = 981N = ∑
where 1N = 1kgm/s²
Now,
for horizontal forces
As we know that, Sum of all horizontal forces = 0
P - μN = 0
P - μW = 0
P = μW
P = 0.6 * 981
P = 588.8N or 589N
Now we need to calculate the area
area = width * thickness = 20 * 3
area = 60 mm²
Now by substituting all these values in equation 1, wee get
ΔT = -P/αAE = - 588.6/(20*10⁻⁶*60*10⁻⁶*105*10⁹)
ΔT = - 4.6714°C (negative sign indicates decrease)
I know 6% of $3000 is $180
But I don't understand the rest of the question.
To find out end behavior, we always look at the largest exponent (3 in this case) and the sign of the term with the largest exponent (negative in this case). We can rule out the first two choices because since it is a cubic graph (exponent of 3) the graph will be pointing in opposite directions. Then, the negative tells us that as the x values approache infinity, the y values will approach negative infinity. So the correct answer is the last choice.
Hope this helps
Answer:
The total length of the trip was 400 miles.
Step-by-step explanation:
He fell asleep at 44% through the trip, they already had traveled 176 miles.
.44x = 176 ⇒
176 ÷ .44 ⇒
x = 400
