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tamaranim1 [39]
4 years ago
13

Explain why the amount of money in the account at the end of t years is given by the formula:

Mathematics
1 answer:
nevsk [136]4 years ago
3 0

Answer:


Step-by-step explanation:

The initial amount invested is P0

Say it is compounded periodically either quarterly or monthly or semi annually with interest r%

If for a period interest is r%

Then after first period principal = principal+simple interest

=P_{0}+\frac{P_{0}r }{n}

where n is the no of times in a year it is compounded. n = 4 if quarterly, 12 if annually, etc

At the end of II period we have

Principal =P_{0}+\frac{P_{0}r }{n}

So for interest again the process is repeated

Thus we repeat this nt times which result in power with nt

Hence the formula


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Fine the volume of the shaded region.
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8 0
3 years ago
The Apollo's chariot, a rollercoaster at Busch gardens, moves at 110 feet per second. The equation of the ride can be represente
GREYUIT [131]

Answer:

169.39 feet.

Step-by-step explanation:

We have been given that the Apollo's chariot, a roller coaster at Busch gardens, moves at 110 feet per second. The equation of the ride can be represented by the equation h(t)=-16t^2+101t+10. We are asked to find the maximum height that the ride can reach.

To  find the maximum height that the ride can reach, we need to find y-coordinate of vertex of parabola because our given equation is downward opening parabola and its maximum point will be the vertex.

First of all, we will find x-coordinate of vertex using formula \frac{-b}{2a}.

\frac{-101}{2(-16)}=\frac{101}{32}=3.15625

Now, we will substitute t=3.15625 in our equation to find y-coordinate of vertex as:

h(3.15625)=-16(3.15625)^2+101(3.15625)+10

h(3.15625)=-16(9.9619140625)+101(3.15625)+10

h(3.15625)=-159.390625+318.78125+10

h(3.15625)=169.390625

h(3.15625)\approx 169.39

Therefore, the ride will reach to a maximum height of 169.39 feet.169.39 feet.

8 0
4 years ago
The area of a rectangle is 144cm squared.if the length is 16cm. What's the perimeter?​
wariber [46]

Answer:

50

Step-by-step explanation:

lxb=144

16xb=144

b=9

perimeter=2(l+b)

=2(16+9)

=50 cm

6 0
3 years ago
Read 2 more answers
If 4 is added to both numerator and denominator of 5/8, by how much is the fraction changed?
Misha Larkins [42]

(5 + 4) / ( 8 + 4) = 9/12 = 3/4

3/4 - 5/8 = 6/8 - 5/8 = 1/8  <== this much the fraction has changed.

8 0
3 years ago
Solve for all values of x by factoring.<br> x^2-11x+10=0
noname [10]

Answer:

x= 10, x=1

Step-by-step explanation:

(x-1)(x-10)=0

then solve for x

6 0
3 years ago
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