A = Pe^(rt)
A = Final Amount = ?
P = Principal = 4,700
e = <span>euler's number = 2.7183
r = rate = 3/100 = 0.03
t = time (in years) = 3
A = 4,700 * e^(0.03*3)
A = 4,700 * 1.094
A = 5142.62
Therefore, </span>the account balance after 3 years will be $5142.62
1.56%<span> 1/8 of the original source (25 counts) remains at 3:00pm. This means that the </span>half-life<span> is 1 hour. Continue to find the fraction at 6:00pm.</span>
Answer:
53
Step-by-step explanation:
i used an angle of 45 degrees.
Distance from ground = 3feets
Angle = 45⁰
U is the initial velocity = 80ft/sec
g = 32
The question wants us to vfind maximum height
We have
r(t) = (80cos45⁰)ti + [3 + 80sin45⁰]t - 0.5(32)t²
We know cos 45 is also sin45 = 1/√2
r(t) = (40√2)ti + [3+40√2]t - 16t²
When we differentiate with respect to t:
r'(t) = (40√2)i + (40√2 - 32t)
= 40√2 =32t
t = 40√2/32
t= 20√2/16
We put the value of t into (3 + 40√2)t -16t²
When we substitute and simplify this we have
3 + 56.57 + 1.77 -16 +8
= 53.34
Which is approximately 53.
It is c.
explanation:
20+130+h =180
when you solve you get h=50
130+g = 180
g= 50
50+60+f = 180
f=70
Answer:
The image of OH is ON.
Step-by-step explanation:
Te figure GIKMPR is a regular hexagon. The number of vertices of a regular hexagon is 6. The central angle between any two consecutive vertices is 60 degree.
The dashed line segments form 30 degree angles.
If we rotate the hexagon 180 degree about O, then the each point shifts to 6th place from its original place.
Since we rotate the hexagon 180 degree about O, so the image and preimage lies on a straight line. Because a straight line make angle of 180 degree.
The line OH and ON lies on a straight line therefore the image of OH is ON.
