Answer:
5.1
Step-by-step explanation:
Compounded Annually:
A=P(1+r)^t
A=P(1+r)
t
A=27200\hspace{35px}P=20000\hspace{35px}r=0.062
A=27200P=20000r=0.062
Given values
27200=
27200=
\,\,20000(1+0.062)^{t}
20000(1+0.062)
t
Plug in values
27200=
27200=
\,\,20000(1.062)^{t}
20000(1.062)
t
Add
\frac{27200}{20000}=
20000
27200
=
\,\,\frac{20000(1.062)^{t}}{20000}
20000
20000(1.062)
t
Divide by 20000
1.36=
1.36=
\,\,1.062^t
1.062
t
\log\left(1.36\right)=
log(1.36)=
\,\,\log\left(1.062^t\right)
log(1.062
t
)
Take the log of both sides
\log\left(1.36\right)=
log(1.36)=
\,\,t\log\left(1.062\right)
tlog(1.062)
Bring exponent to the front
\frac{\log\left(1.36\right)}{\log\left(1.062\right)}=
log(1.062)
log(1.36)
=
\,\,\frac{t\log\left(1.062\right)}{\log\left(1.062\right)}
log(1.062)
tlog(1.062)
Divide both sides by log(1.062)
5.1116317=
5.1116317=
\,\,t
t
Use calculator
t\approx
t≈
\,\,5.1
5.1
Since there may be an easier way, you can find how many centimeters there may be for one meter by dividing both sides (3 cm = 5 m ) by 5.
So, .6 cm= 1 m
This will make it easy to divide to find the actual ticket size.
You have to find how many .6 there are in 9.4 by dividing:
The rocket would be
m tall.
8.5 minutes per mile is equivalent to
17 minutes
----------------
2 miles
and the reciprocal of that is
2 miles
-----------
17 min
Now multiply 26.2 miles by
17 min (17 min)* (26.2 mi)
------------ , obtaining ---------------------------
2 miles 2 mi
This simplifies to (17)(26.2)/2 minutes = 222.7 minutes,
or
222.7 minutes 1 hr
-------------------- * ------------ = 3.7 hours
1 60 min
Answer:
9.9
Step-by-step explanation:
a^2+b^c=c^2
15^2+b^2=18^2
225+b^2=324
b^2=99
b=9.94
x=9.94
In this problem, it will be helpful to know the vertex form of a parabola, which is listed below:
is a constant which helps to determine whether the parabola opens up or down. If 
, then the parabola opens downward and if 
, the parabola opens upwards
is the vertex of the parabola
By looking at the graph, we can first see that the graph opens downwards, meaning that . Thus, choices C and D are not valid. Now, let's use the vertex of the parabola to complete the equation.
The vertex of this parabola is (-1, 3), as shown by the graph. When we substitute this into our formula, we get:
The answer is a, 
.
