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Tpy6a [65]
3 years ago
15

On the ceiling of a cavern, a stalactite grows downward

Mathematics
1 answer:
Tcecarenko [31]3 years ago
4 0
The stalactites become 0.004 + 0.006 = 0.01 inches closer each year, and begin 10 feet apart, or 120 inches apart. 

let y be the distance between them, and x be the number of years that go by:
y = -0.01x + 120

We want to find where y = 0, where they meet:
0 = -0.01x + 120        Add 0.01x to both sides
0.01x = 120               Multiply both sides by 100
x = 12,000 

The stalagmite and stalactite will meet in 12,000 years
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Use the compound interest formulas A=P1+
Bingel [31]

The accumulated value of an investment if the money is a. compounded​ semiannually; b. compounded​ quarterly; c. compounded​ monthly; d. compounded continuously is $30731.4 $ , $30785.98  $30823.14 , 30841.95

<h3>What is Interest ?</h3>

Interest is the amount received by a person as a result of investing certain amount of money for a certain period of time.

It is given that

Principal = $ 25000

Time = 3 years

Interest Rate = 7 %

The amount is given by

\rm A = P( 1+ \dfrac{r}{n}) ^{nt}

Compounded semiannually

n = 2

Compounded Quarterly

n = 4

Compounded Monthly

n =12

Compounded Continuously

P = P₀ \rm e ^{rt}

Therefore the accumulated value for

compounded Semiannually is

\rm A = 25000( 1+ \dfrac{7}{200}) ^{2*3}

A = $30731.4

Compounded Quarterly

\rm A = 25000( 1+ \dfrac{7}{400}) ^{4*3}

A = $30785.98

Compounded Monthly

\rm A = 25000( 1+ \dfrac{7}{1200}) ^{12*3}

A = $30823.14

Compounded Continuously

\rm P = 25000 e ^{ 7 * 3 }

P = $30841.95

Therefore the accumulated value of an investment if the money is

a. compounded​ semiannually; b. compounded​ quarterly; c. compounded​ monthly; d. compounded continuously is

$30731.4 $ , $30785.98  $30823.14 , 30841.95

To know more about Interest

brainly.com/question/13324776

#SPJ1

5 0
2 years ago
Need help with homework
zubka84 [21]

Answer:

5. the other angle has to be 2x because of the other lines being equals so

2x+2x+x-15=180

5x-15=180

5x=195

x=19

6. the other two angle is ajacent to the other two so

3x+17+3x+17+x-9+x-9=360

8x+16=360

8x=344

x=43

7. this ones pretty simple

2x-4+3x+5+2x+11=180

7x+12=180

7x=168

x=24

8. this one to

x+x+4+3x-9=90

5x+5=90

5x=85

x=17

Hope This Helps!!!

5 0
2 years ago
Find the Volume of the retangular prism
patriot [66]

Answer: 28

Step-by-step explanation: 3 1/2 x 4 = 14 x 2 = 28

8 0
3 years ago
Read 2 more answers
Use the quadratic model y = −4x2 − 3x + 4 to predict y if x equals 5.
REY [17]

Answer:

-111

Step-by-step explanation:

substitute 5 in place of each x

    -4(5)^2 - 3(5) + 4

then evaluate or type it into your calculator

    -100 - 15 + 4

7 0
3 years ago
Read 2 more answers
Please help ASAP!!! Will give Brainly!!! What are the x-intercepts of the parabola?
svetoff [14.1K]

Answer:

I think it's

4.5

5

0.4

0

0

5

4

maybe, maybe not.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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