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V125BC [204]
3 years ago
14

A spacecraft travels at a speed of 5 x 10^4 miles per day. How long will it travel in 1.5 x 10^2 days?

Mathematics
1 answer:
Dimas [21]3 years ago
6 0

Answer:

7.5 \times 10^6 miles

Step-by-step explanation:

(5\times 10^4)\times (1.5 \times 10^2)=\\(5\times 1.5) \times (10^4 \times 10^2)=\\7.5 \times 10^6

Hope this helps!

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A new online music service has a collection of 1,500 songs. It expects to triple the number of songs each year for the next few
Rzqust [24]

Answer: y = (3^(x-1))*1500

Step-by-step explanation:

We want the relationship

y = f(x)

where y is the number of songs, and x is the number of years.

We know that in the first year, x = 1, the site has 1,500 songs.

The next year, x = 2, the number of songs is tripled, then we will have:

1,500*3 = 4500 songs.

The next year, x = 3, we will have: 3*(3*1500) = (3^2)*1500.

when x = 4, the number is tripled again:

3*(3^2)*1500 = (3^3)*1500

We already can see the pattern, for the year x, the site will have:

y = (3^(x-1))*1500 songs.

This is the equation we are looking for.

7 0
3 years ago
I bought a pear of pants that were $65 they had 25% off
CaHeK987 [17]
How much you need pay?
65x(1-25%)
=65x75%
=65x0.75
=48.75
Your answer should be $48.75.
8 0
3 years ago
Read 2 more answers
Choose the correct classification of 3x^4 − 9x^3 − 3x^2 + 6.
aliina [53]
It's a 4th degree polynomial since the largest degree (exponent) is 4
6 0
3 years ago
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A person invests 10000 dollars in a bank. The bank pays 4.5% interest compounded
Greeley [361]

The person would have to leave the money in the bank for 7.8 years for it to reach 13,500 dollars.

Step-by-step explanation:

Step 1; First we must calculate how much interest is generated for a single year. The annual interest rate is 4.5% i.e. 4.5% of 10,000 dollars which equals 0.045 × 10,000 = 450 dollars a year. As the years pass, more and more will be put into the account due to interest.

Step 2; For there to be 13,500 dollars in the bank account we need to calculate how much money is added due to interest.

The money needed to be added through interest = 13,500 - 10,000 = 3,500 dollars.

So we need to determine how long it will take for the bank to add 3,500 dollars by adding 450 dollars a year.

The number of years to reach 13,500 dollars = \frac{3,500}{450} = 7.777 years. By rounding this value to the nearest tenth, we get 7.8 years.

7 0
3 years ago
The circumference of a circle is 78π cm. Find the diameter, the radius, and the length of an arc of 140°.
jasenka [17]
 The correct answer is the option D, which is: <span>D. 78 cm; 39 cm; 30.3π cm
 The explanation is shown above:
 1-The formula for calculate the circumference of a circle is:
 C=2</span>πr
 78π=2πr
 2- The radius is:
 r=78π/2π
 r=39 cm
 3- The diameter is:
 D=39 cm x 2
 D=78 cm
 4- The arc length is:
 arc length=(140°π/180°)(39 cm)
 arc length=30.3π cm
 
5 0
3 years ago
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