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2 years ago

Dan invests £1200 into his bank account. He receives 5% per year compound interest. How much will dan have after5 years?

Mathematics

1 answer:

solmaris [256]2 years ago

7 0

Answer:

Dan will have $1,531.53 after 5 years.

Step-by-step explanation:

To find the answer, you can use the following formula to calculate the future value:

F= P(1 + r)^t

F= Future value

P= Present value= 1200

r= rate of interest= 5%

t= time= 5

F=1200(1+0.05)^5

A=1200(1.05)^5

A=1531.53

According to this, the answer is that Dan will have $1,531.53 after 5 years.

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Mashcka [7]

Answer:

hmax = 194 ft

The maximum height is 194 ft

Step-by-step explanation:

According to the given equation for the model of the vertical motion. The height at any point in time can be written as;

h(t) = -16t^2 + v0t + h0 .......1

Where;

h(t) = height at time t

t = time

v0 = initial velocity = 96 ft/s

h0 = initial height = 50 ft

To determine the maximum height we need to differentiate the equation 1 to find the time at which it reaches maximum height;

At the highest point/height h' = dh/dt = 0

h'(t) = -32t +v0 = 0

-32t + v0 = 0

t = v0/32

t = 96/32

t = 3 s

At t=3 it is at maximum height.

The maximum height can be derived from equation 1;

Substituting the values of t,v0,h0 into equation 1;

h(t) = -16t^2 + v0t + h0 .......1

hmax = -16(3)^2 + 96(3) + 50 = 194 ft

hmax = 194 ft

The maximum height is 194 ft

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3 years ago

2. An online bookstore sells both print books and e-books (books in an electronic format). Customers can pay with either a gift

Fudgin [204]

Answer:

a.0.12

b. Dependent

Step-by-step explanation:

a. The two events mentioned here are " print book is purchases" and "customer using gift card". P(P)=0.6 and P(C)=0.2. we have to calculate the probability of print book selection for purchase and payment is made through gift card i.e. P(P∩C). P(P∩C)=P(P)*P(C)=0.6*0.2=0.12.

b. If P(A∩B)=P(A)*P(B), then the two events are independent. Here in the given situation two independent variables are "purchase of e-book" and "payment made using gift card"

P(E)=0.4

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P(E and G)=P(E∩G)=0.1

P(E)*P(G)=0.4*0.2=0.08 that is not equal to 0.1. So, the two events "e-book is purchased" and "Payment made by customer using gift card" are not independent.

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3 years ago

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Mila [183]

Answer:

1/8

Step-by-step explanation:

1/2 of 1/4 = 1/2*1/4 = 1/8

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You can't solve it, but you can simplify it
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