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stira [4]
3 years ago
10

How much money, invested at an interest rate of r % per year compounded continuously, will amount to A dollars after t years? (R

ound your answer to the nearest cent.)
A = 300,000, r = 3.8, t = 18
Mathematics
1 answer:
Alex Ar [27]3 years ago
8 0

Answer: $151377.5 should be invested.

Step-by-step explanation:

The formula for continuously compounded interest is

A = P x e (r x t)

Where

A represents the future value of the investment after t years.

P represents the present value or initial amount invested

r represents the interest rate

t represents the time in years for which the investment was made.

e is the mathematical constant approximated as 2.7183.

From the information given,

A = $300000

r = 3.8% = 3.8/100 = 0.038

t = 18 years

Therefore,

300000 = P x 2.7183^(0.038 x 18)

300000 = P x 2.7183^(0.684)

300000 = 1.9818P

P = 300000/1.9818

P = $151377.5

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Area=pi (radius^2) Plug in numbers. 206=3.14 (r^2) Divide both sides by 3.14 65.61=r^2 Then square root both sides. 8.1ft =r Then round to the nearest foot. r=8ft
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What is equivalent to 40/64
Nadya [2.5K]

Answer: 5/8


Step-by-step explanation:


8 0
3 years ago
RS = 4x – 9, ST = 19, RT = 80 – 14<br><br> Equation:<br><br> 82 – 14<br><br> RS<br><br> RT
algol13

Step-by-step explanation:

The expressions are not properly written

Given

RS = 4x – 9

ST = 19

RT = 8x – 14

Based on the given parameters, the addition postulate below is true

RS+ST = RT

Substitute

4x-9+19 = 8x-14

collect like terms

4x-8x = -14-19+9

-4x = -33+9

-4x = -24

x = -24/-4

x = 6

Get RS:

RS = 4x-9

RS = 4(6)- 9

RS = 24-9

RS = 15

Get RT:

RT = 8x - 14

RT = 8(6)-14

RT = 48-14

RT = 34

4 0
3 years ago
(9x + 7)(4x + 1)(3x + 4) = 0<br> 1 root<br> 3 roots<br> 4 roots<br> 9 roots
asambeis [7]

Answer:

3 roots

Step-by-step explanation:

(9x+7)(4x+1)(3x+4)=0

x=-7/9 or - 1/4 or - 4/3

3 0
2 years ago
I NEEEDDDD HELPPP ASAPPPP!!! it’s urgentttttt
Artist 52 [7]

Answer:

(x + 14)² + (y – 21/2)² = 1

Step-by-step explanation:

The equation of a circle can be written as seen below

(x – h)² + (y – k)² = r²

Where (h,k) is at the center and r = radius

We are given that the radius is 1

We are also given that the center is at (-14,21/2)

So we know that r = 1, h = -14, and k = 21/2

So to find the equation of the circle we simply substitute these values into the equation of a circle

Equation of a circle: (x – h)² + (y – k)² = r²

r = 1, h = -14, and k = 21/2

Substitute values

(x – (-14))² + (y – 21/2)² = 1²

1^2 = 1

The two negative signs before the 14 cancel out and it changes to + 14

The equation of a circle with a center at (-14,21/2) and a radius of 1 is (x + 14)² + (y – 21/2)² = 1

4 0
2 years ago
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