What is the volume of a cylinder with the following dimensions Radius 6ft Height 24ft

Adisa borrows $5,000 at 14% interest, compounded twice a year. How much does she owe at the end of 8 years?

N76 [4]

The borrower owes $14,760.82 at the end of 8 years

What is compounding interest?

Compounding interest means that earlier interest would earn more interest in the future alongside the loan principal.

Note that in this case the loan continues to accumulate interest because there no repayments, in other words, the loan balance after 8 years, which comprises of the principal and interest for 8 years can be computed using the future value formula of a single cash flow(the single cash flow is the principal) as shown thus:

FV=PV*(1+r/n)^(n*t)

FV=loan balance after 8 years=unknown

PV=loan amount=$5,000

r=annual interest=14%

n=number of times in a year that interest is compounded=2(twice a year)

t=loan period=8 years

FV=$5000*(1+14%/2)^(2*8)

FV=$5000*(1.07)^16

FV=$5000*2.95216374856541

FV=loan balance after 8 years=$14,760.82

Find out more about semiannual compounding on:brainly.com/question/7219541.

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4 0

2 years ago

The probability distribution function for the discrete random variable where x is equal to the number of red lights drivers typi

Ivahew [28]

Using probability concepts, it is found that:

a) The missing value is 0.04.

b) The mean is of 0.37.

The distribution is given by:

$P(X = 0) = 0.76$

$P(X = 1) = 0.15$

$P(X = 2) = 0.05$

$P(X = 3) = x$

Item a:

The sum of all the probabilities has to be 1, that is:

$\sum_{i = 0}^{3} P(X = i) = 1$

Thus:

$0.76 + 0.15 + 0.05 + x = 1$

$0.96 + x = 1$

$x = 0.04$

The missing value is 0.04.

Item b:

The mean is given by the sum of each outcome multiplied by it's probability, thus:

$E(X) = 0(0.76) + 1(0.15) + 2(0.05) + 3(0.04) = 0.37$

The mean is of 0.37.

A similar problem is given at brainly.com/question/20709747

7 0

2 years ago

PLEASE ANSWR DUE BY 11:59 P.M TODAY 50 POINTS

hoa [83]

Answer:

1) 1/4

3) 1/12

4) 5/6

Step-by-step explanation:

1) P(Red) = 1/4

4 options out of which 1 is red

2)

Black --> Black, White, Yellow

Green --> Black, White, Yellow

Red --> Black, White, Yellow

White --> Black, White, Yellow

First 4 branches for buttons.

From each of these 4 branches, make 3 further branches for ribbons

3) In the tree diagram, there are

12 (4×3 = 12) equally likely outcomes

Out of which 1 is (Black, Black)

So, P(Black & Black) = 1/12

4) out of the 12 outcomes, only 2 have same colour of bottom ribbon:

(Black, Black) & (White,White).

Other 10 have different colours.

P(different) = 10/12 = 5/6

5 0

3 years ago

Every day a zookeeper feeds 4 adult gorillas a total of 160 lb of food,. At this rate how many pounds of food would the zookeepe

SCORPION-xisa [38]

To get the answer first you need to divide 160 by 4 and you should get 40 then you multiply 40 by 6 and get 240.the answer is 240

7 0

3 years ago

Help again please........

Cerrena [4.2K]

Answer:

D

Step-by-step explanation:

-7 cubed = -343

-3 squared = -9

-343 - (-9) = -334

5 0

2 years ago