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3 years ago

Travis will complete a 60-mile trip in _____ hours?

Mathematics

1 answer:

Natasha2012 [34]3 years ago

5 0

Answer: 2.5 hours is the answer

Step-by-step explanation:

It took Travis 2.5 hours to complete 3/4 of his trip. To find the average speed, we need to find his speed during 3/4 of the trip and then the 52.5 miles.

So you know that 52.5 is 1/4 of his total trip. That means if we multiply that by 3, that's how many miles he traveled in 2.5hrs. (157.5)

To calculate speed, divide distance by time.

For 3/4 of his trip (157.5), it took him 2.5 hours.

157.5/2.5 = 63mph

For the remaining 52.5 miles, it took him an hour.

52.5/1 = 52.5mph

Now average those two speeds to get the average speed for the whole trip.

(63+52.5)/2= 57.6mph

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What is the balance after 15 years in a savings account that earns 2% interest compounded bimonthly when the initial deposit is

Ierofanga [76]

Answer:

$1348.07

Step-by-step explanation:

Hello!

<h3>Compound Interest Formula: $A = P(1 + \frac rn)^{nt}$ </h3>

A = Account Balance
P = Principle/Initial Amount
r = Rate of Interest (decimal)
n = Number of times compounded (per year)
t = Number of Years

<h3>Given Information</h3>

Account Balance = ?
Principle Amount = $1000
Rate of Interest = 0.02

Why is the Rate 0.02?

This is because we are gaining money, so the multiplier should be greater than 1. We already added 1, which is 100% so you simply add the 0.02 for the extra 2%.

Number of times compounded per year = 6

This is because it is being compounded bi-monthly, or once every 2 months. 12 months divided by 2 months is 6 months, so 6 times a year.

Number of years = 15

<h2>Solve </h2>

Solve by plugging in the given values into the formula.

$A = P(1 + \frac rn)^{nt}$
$A = 1000(1 + \frac {0.02}{6})^{6*15}$
$A = 1000(1 + 0.00333...)^{90}$
$A = 1000(1.00333...)^{90}$
$A = 1000(1.145743)$
$A \approx 1457.43$

This is really close to the first option, and since there is rounding involved with the repeating decimal, the first option should be correct.

The answer is $1348.07.

3 0

2 years ago

Need help badly txt bck quicker

pogonyaev

The answer would be 10/12

5 0

3 years ago

Please answer, Thank you. Image below.

Bezzdna [24]

Answer:

88°

Step-by-step explanation:

The triangle is an isosceles triangle, so two of the angles are both 46°. We also know that the sum of all the angles in any triangle is 180°, so we can set up the following equation:

46° + 46° + e = 180°

Solving this gets e = 88°.

8 0

2 years ago

A dog is moving at a constant speed of 8 m/s. what is the dog’s acceleration

ozzi

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