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-Dominant- [34]

3 years ago

12

the angle of depression from the top ski lift is 57 degrees if the vertical distance from the top and bottom ot the lift is 1200

feet, determine the length of the cable between them

1 answer:

dedylja [7]3 years ago

7 0

Answer:

1200

Step-by-step explanation:

ghgvhjhv g fty ftvyuibn

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Give the largest interval over which the general solution is defined. (Think about the implications of any singular points. Ente

Leto [7]

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

No singular point due to the exponent in the solution

The interval is $-\infty$

b

NONE

Step-by-step explanation:

From the question we are told that

$\frac{dy}{dx} = 9y$

The generally solution is mathematically represented as

$\frac{dy }{dx} = 9y$

=> $\frac{dy}{y} = 9dx$

integrating both sides

$\int\limits {\frac{ dy}{y} } \, = \int\limits {9} \, dx$

=> $lny = 9x + c$

=> $y = e^{9x +c }$

=> $y = e^{9x} e^{c}$

Here $e^c = C$

=> $y = C e^{9x}$

From the above equation we see that the domain for x has no singular point the interval is

$-\infty$

Also there is no transient term in the general solution obtained because as $x \to \infty$ there no case where $y \to 0$

7 0

3 years ago

You are applying for an 80/20 mortgage to buy a house costing $145,000. The first (80%) mortgage has an interest rate of 4.75%,

babymother [125]

Answer:

$291,016.80

A is correct.

Step-by-step explanation:

You are applying for an 80/20 mortgage to buy a house costing $145,000.

Loan Formula:

$EMI=\dfrac{P\cdot r}{1-(1+r)^{-n}}$

Case 1:

Loan amount, P = 80% of 145000 = $ 116,000

Rate of interest, r = 4.75% = 0.0475

Time of loan, n = 30 years = 360 months

Substitute the values into formula.

$EMI=\dfrac{116000\cdot \frac{0.0475}{12}}{1-(1+\frac{0.0475}{12})^{-360}}$

$EMI=605.11$

Total payment for case 1: 605.11 x 360 = $217,839.60

Case 2:

Loan amount, P = 20% of 145000 = $ 29,000

Rate of interest, r = 4.75% = 0.07525

Time of loan, n = 30 years = 360 months

Substitute the values into formula.

$EMI=\dfrac{29000\cdot \frac{0.07525}{12}}{1-(1+\frac{0.07525}{12})^{-360}}$

$EMI=203.27$

Total payment for case 1: 203.27 x 360 = $73,177.20

Total amount of the mortgage = $217,839.60 + $73,177.20

= $291,016.80

Hence, The total amount of the mortgage is $291,016.80

3 0

3 years ago

X<br> ſocm<br> Jicm<br> A) 2V5 cm<br> B) V13 cm<br> D) V19 cm<br> C) 1 cm<br> ASAP

bulgar [2K]

Answer:

using pythagoras theorem

hyp 2=opp 2+adj 2

=( √6)(√6)+(√7)(√7)

hyp 2=13

hyp=√13

3 0

3 years ago

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Mr. Twain asked the students in his class to draw the figure below using a scale factor

arsen [322]

Answer:Mark

Step-by-step explanation:Diva

3 0

3 years ago

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267.26 rounded to the nearest tenth

Lady_Fox [76]

267.3
1 2 3 4 STAYS THE SAME
5 6 7 8 9 ROUNDS UP

6 0

3 years ago