Solve for h v=pie*r^2h

Ana has won a lottery. She was offered two options to receive the award: She can either take it in five installments of $60,000

AleksandrR [38]

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

She can either take it in five installments of $60,000 annually, starting from now; or she can take a lump-sum of $255,000 now.

First, we determine the value of the 5 installments using a 5% annual compounded rate.

We calculate the future value, and then the present value:

FV= {A*[(1+i)^n-1]}/i

A= annual payments

FV= {60,000*[(1.05^5) - 1]} / 0.05

FV= $331.537.88

PV= FV/(1+i)^n

PV= $259,768.60

At an annual rate of 5% compounded annually, she should choose the five installments instead of the $255,000.

Now, if the annual rate is 6% continuously compounded.

First, we need to calculate the effective interest rate:

r= e^i - 1

r= effective inerest rate

r= e^0.06 - 1

r= 0.0618

FV= {60,000*[(1.0618^5) - 1]} / 0.0618

FV= 339,443.23

PV= 339,443.23/1.0618^5

PV= $251,509.01

At an annual rate of 6% compounded continuously, she should choose the $255,000.

5 0

2 years ago

find the column which has products that are the sum of the yellow shaded numbers in each row Shaded the column what pattern do y

BaLLatris [955]

Answer:

They are even numbers (divisible by two)

Step-by-step explanation:

The number column starts from 2 and is incremented by two for every number in the column. The remainder of the division of each number in the sequence is zero and the result of the division is sequence 1,2,3,4,5,6,7...

Therefore, the numbers in the column are even numbers.

6 0

2 years ago

60 EXTRA POINTS!!!! I need help with writing an inequality for a graph. It is below. :)

ch4aika [34]

Answer:

The answer to your question is: y ≥ - x + 6 and y ≥ x - 4

Step-by-step explanation:

Look of a pairs of points for each graph

Line 1 Line 2

A(0, 6) B (5, 1) C (7,3) D(5, 1)

m = (1- 6) / (5- 0) m = (1 - 3) / (5 - 7)

m = -5/5 = -1 m = -2 / -2 = 1

Find the line equation for each slope (y - y1) = m (x - x1)

(y - 1) = -1 (x - 5) (y - 1) = 1 (x - 5)

y - 1 = -x + 5 y -1 = x - 5

y = -x + 5 + 1 y = x - 5 + 1

y = -x + 6 y = x - 4

Inequality

y ≥ - x + 6 y ≥ x - 4

8 0

2 years ago

D+7/−3=4 What is d? Thanks!

givi [52]

Answer

$\boxed {d= \frac{19}{3}}$

Solution

Simplify both sides of the equation.

$\frac{7}{3} + \frac{-7}{3}$

We are left with d = 4+ $\frac{7}{3}$

Add

$\frac{12}{3}+\frac{7}{3} =\frac{19}{3}$

Hence, d = $\frac{19}{3}$

7 0

2 years ago

Home Depot wants to buy a new line of fertilizers. Manufacturer A offers a 22/19 chain discount. Manufacturer B offers a 25/14 c

Temka [501]

Answer: A is 36.82%. B is 35.5%

Step-by-step explanation: For manufacturer A 22/19 chian discount simply means 22% discount followed by 19% discount.

Therefore we have 100-22= 78 and 100-19=81.

The final price would be 0.78*0.81=0.6318

Therefore discount would be

1 - 0.6318=0.3682

Hence, percentage discount would be 0.3682*100%=36.82%.

For manufacturer B 25/14 chian discount means 25% discount followed by 14% discount. So we have 100-25=75% and 100-14= 86%

Final price would be 0.86*.75=0.645.

Discount= 1 - 0.645= 0.355.

Percentage discount would be 0.355*100%=35.5%.

3 0

2 years ago