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jeka57 [31]
3 years ago
15

Finding present value in Exercise, determine the principal P that must be invested at interest rate r, compounded continously, s

o that $1,000,000 will be available for retirement in t years.
r = 7.5%, t = 40
Mathematics
1 answer:
ycow [4]3 years ago
6 0

Answer:

$49,787.16

Step-by-step explanation:

The expression that describes continuous compounding is:

FV = P*e^{rt}

The principal (p) that yields a future value of $1,000,000 at a rate of 7.5% for 40 years is given by:

1,000,000= P*e^{0.075*40}\\1,000,000=20.0855 P\\P=\$49,787.16

The principal value that must be invested is $49,787.16.

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What is 62/120 expressed as a percent rounded to the nearest whole number?
Afina-wow [57]

Answer:

52%

Step-by-step explanation:

62/120 * 100%

Divide by 2 on top and bottom

31/60 * 100 %

.5166666666 * 100 %

51.66666666 %

To the nearest whole number

Rounding the 1, we look at the 6   6>=5 so we round the 1 to 2

52%

6 0
3 years ago
Liam's breakfast was an egg and cheese biscuit with a carton of milk. He spent a total of $5.65. Finn spent $7.65 on an egg and
ruslelena [56]

Answer:

An egg and cheese biscuit was $3.65.

Step-by-step explanation:

Liam's breakfast was:

P = E + C + M

Where:

P: total price

E: egg

C: cheese biscuit

M: carton of milk  

P = E + C + M

5.65 = E + C + M   (1)

Now, Finn's breakfast was:

P = E + C + 2*M

7.65 = E + C + 2*M   (2)      

By subtracting equation (2) from (1) we have:

7.65 - 5.65 = 2M - M

M = 2

Hence, the price of a carton of milk is $2, so by entering this value into equation (1) we can find the price of an egg and cheese biscuit:

5.65 = E + C + M

5.65 - 2 = E + C

E + C = 3.65

Therefore, an egg and cheese biscuit was $3.65.

I hope it helps you!

7 0
3 years ago
Plzzz help<br> thank u for those who help
IRISSAK [1]

Answer:

SAS

Step-by-step explanation:

As per the given diagram, the following facts are evident.

(BR) = (CR), Both sides have two small orange lines on them. This shows that these sides are congruent.

(<B) = (<C), this is shown by the box around both angles, indicating that both angles have a measure of (90) degrees.

(AB) = (AC), Both sides have one small orange line on them. This indicates that these sides are congruent to each other.

Therefore, the sides are congruent by the theorem (SAS); side-angle-side, congruence.

8 0
3 years ago
DO ANYONE KNOW HOW TI FIND THE AREA OF A REGULAR POLYGON?? ill give brainlest and points​
zloy xaker [14]

Answer:

see explanation

Step-by-step explanation:

The area (A) of a regular decagon ( 10 sided ) is calculated as

A = 0.5 × perimeter × apothem

Here side length = 3.25, hence perimeter = 10 × 3.25 = 32.5 m, thus

A = 0.5 × 32.5 × 5 = 81.25 m²

7 0
4 years ago
Read 2 more answers
Find x and measurement of each side ..
elena55 [62]

LM = LN
3x - 2 = 2x + 1
x = 3
LM = LN = 7

MN = 5x - 2 = 13

7 0
3 years ago
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