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3 years ago

A model satellite is 7 in wide. If it was built with a scale of 1 in: 2 yd, then how wide is the real satellite?

Mathematics

1 answer:

miskamm [114]3 years ago

8 0

Answer:

14yd

Step-by-step explanation:

Scale of the model:

1in to 2yd

This suggest that for every 1in on the model, the actual distance is 2yd.

So;

A model 7in wide will actually be:

1in to 2yd

7in will be 7 x 2 = 14yd

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A certain college graduate borrows 7864 dollars to buy a car. The lender charges interest at an annual rate of 13%. Assuming tha

White raven [17]

Answer:

Therefore rate of payment = $ 3145.72

Therefore the rate of interest = =$1573.17

Step-by-step explanation:

Consider A represent the balance at time t.

A(0)=$ 7864.

r=13 % =0.13

Rate payment = $k

The balance rate increases by interest (product of interest rate and current balance) and payment rate.

$\frac{dB}{dt} = rB-k$

$\Rightarrow \frac{dB}{dt} - rB=-k$ .......(1)

To solve the equation ,we have to find out the integrating factor.

Here p(t)= the coefficient of B =-r

The integrating factor $=e^{\int p(t) dt$

$=e^{\int (-r)dt$

$=e^{-rt}$

Multiplying the integrating factor the both sides of equation (1)

$e^{-rt}\frac{dB}{dt} -e^{-rt}rB=-ke^{-rt}$

$\Rightarrow e^{-rt}dB - e^{-rt}rBdt=-ke^{-rt}dt$

Integrating both sides

$\Rightarrow \int e^{-rt}dB -\int e^{-rt}rBdt=\int-ke^{-rt}dt$

$\Rightarrow e^{-rt}B=\frac{-ke^{-rt}}{-r} +C$ [ where C arbitrary constant]

$\Rightarrow B(t)=\frac{k}{r} +Ce^{rt}$

Initial condition B=7864 when t =0

$\therefore 7864= \frac{k}{r} - Ce^0$

$\Rightarrow C= \frac{k}{r} -7864$

Then the general solution is

$B(t)=\frac{k}{r}-( \frac{k}{r}-7864)e^{rt}$

To determine the payment rate, we have to put the value of B(3), r and t in the general solution.

Here B(3)=0, r=0.13 and t=3

$B(3)=0=\frac{k}{0.13}-( \frac{k}{0.13}-7864)e^{0.13\times 3}$

$\Rightarrow- 0.48\frac{k}{0.13} +11614.98=0$

⇒k≈3145.72

Therefore rate of payment = $ 3145.72

Therefore the rate of interest = ${(3145.72×3)-7864}

=$1573.17

4 0

3 years ago

James and Tyson are buds. The sum of their ages is 97. The difference of their ages is 19. Find their ages.

sweet [91]

Answer:

James is 58 and Tyson is 39 years old.

Step-by-step explanation:

x + y = 97

x - y = 19 +

--------------

2x = 116

x = 58

--------------

y = 97 - 58

y = 39

7 0

2 years ago

AYO HELP ME PLEASE

myrzilka [38]

Answer:

Start at 80(y) go to 10:00(x)

Step-by-step explanation:

Joey's house is the same distance to his friend's house as his friend's house is to his. This means that if the travel at the same rate the rate of change (slope) will be the same. However because the friend is going the opposite direction of joey the rate of change (slope) will have the opposite sign (negative vs positive, down vs up)

6 0

2 years ago

Can someone please explain this

Pani-rosa [81]

Answer:

x = 7

Step-by-step explanation:

There is a total of 180 degrees in a triangle. To solve you add the other angles and set = to 180 then solve for x

180 = 33 + 90 + 7x +8

172 = 33 + 90 + 7x

139 = 90 +7x

49 = 7x

7 = x

6 0

2 years ago

HELP ASAP

lora16 [44]

I solved it on a piece of paper. I can not answer why I got the same answer, but I hope my method helped

3 0

2 years ago

A model satellite is 7 in wide. If it was built with a scale of 1 in: 2 yd, then how wide is the real satellite?​

A model satellite is 7 in wide. If it was built with a scale of 1 in: 2 yd, then how wide is the real satellite?