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Bess [88]
3 years ago
5

A car traveled 330 miles during a 5½ hour period. If the speed at which the car traveled can be represented in the equation d=rt

, at what speed was the car traveling?
Mathematics
1 answer:
Alina [70]3 years ago
6 0

Answer:

The car was travelling at a speed of 60 miles per hour.

Step-by-step explanation:

Given:

Distance traveled = 330 miles

Time Period = 5 \frac12\ hr

we need to find the speed of the car .

Solution:

Time Period = 5 \frac12\ hr

Now we can say that;

\frac12\ hr =0.5\ hr

So Time period = 5+0.5 =5.5\ hr

Now we know that;

Distance traveled (d) is equal to Speed (r) multiplied by Time Period (t).

framing in equation form we get;

d=rt\\\\330 =r\times 5.5

Dividing both side by 5.5 we get;

\frac{330}{5.5}=\frac{5.5r}{5.5}\\\\r = 60\ mi/hr

Hence The car was travelling at a speed of 60 miles per hour.

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Determine how long it will take for a principal amount of $13,000 to double its initial value when deposited into an account pay
bezimeni [28]

Compound interest can be defined as the interest <em>on a deposited amount, an investment</em> that is <em>compounded based on its principal and interest rate.</em>

It will take about 3.239 years for the principal amount of $13,000 to double its initial value.

From the above question, we can deduce that we are to find the time "t"

The formula to find the time "t" in compound interest is given as:

t = ln(A/P) / r

where:

P = Principal = $13,000

R = Interest rate = 21.4%

A = Accumulated or final amount

From the question, the Amount "A" is said to be the double of the principla.

Hence,

A = $13,000 x 2

= $26,000

  • Step 1: First, convert R as a percent to r as a decimal

r = R/100

r = 21.4/100

r = 0.214 per year.

  • Step 2: Solve the equation for t

t = ln(A/P) / r

t = ln(26,000.00/13,000.00) / 0.214

t = 3.239 years

Therefore, it will take about 3.239 years for the principal amount of $13,000 to double its initial value.

To learn more, visit the link below:

brainly.com/question/22471957

7 0
3 years ago
F(1) = 1<br><br> f(2) = 2<br><br> f(n) = f(n − 2) + f(n − 1)<br><br> f(3)
sweet [91]

Answer:

f(3) = 3

Step-by-step explanation:

f(1) = 1

   

f(2) = 2

f(n) = f(n − 2) + f(n − 1)

f(3) = f(3 - 2) + f(3 - 1)

     = f(1) + f(2) = 1 + 2 = 3

Special Note:  Have you heard of the Fibonacci sequence?  

The formula f(n) = f(n − 2) + f(n − 1) is used to find the terms of the of the  Fibonacci sequence

8 0
3 years ago
What is the slope of the line that goes through the points (1,-5) and (4,1)?
Anna007 [38]

Answer:

D. 2

Step-by-step explanation:

(1 - -5)/(4 - 1) = 6/3 = 2

3 0
4 years ago
Read 2 more answers
Please answer it now in two minutes
Natali [406]

Answer: 25.67°

Step-by-step explanation:

Tangent = opp/adj

7/3 = 2.333

To get degrees, take tan^-1 of 2.33 25.666. round to 25.7 or 25.67°

4 0
3 years ago
Order these from greatest to least <br> 7 7/8, 7.5, 7.8, 7 3/4
Marizza181 [45]

<em><u>The numbers are ordered from greatest to least is:</u></em>

7\frac{7}{8} >7.8 > 7\frac{3}{4} > 7.5

<em><u>Solution:</u></em>

<em><u>Given numbers are:</u></em>

7\frac{7}{8} , 7.5, 7.8, 7\frac{3}{4}

We have to order them from greatest to least

Let us first convert the mixed fractions number to decimals

Mixed fractions to fractions:

Multiply the whole number part by the fraction's denominator.

Add that to the numerator.

Then write the result on top of the denominator.

Therefore,

7\frac{7}{8} = \frac{8 \times 7 + 7}{8} = \frac{63}{8} = 7.875

Similarly,

7\frac{3}{4} = \frac{4 \times 7 + 3}{4} = \frac{31}{4} = 7.75

<em><u>Now the given numbers are:</u></em>

7.875, 7.5, 7.8, 7.75

<em><u>Arrange them from greatest to smallest</u></em>

7.875 > 7.8 > 7.75 > 7.5

<em><u>Thus the order is:</u></em>

7\frac{7}{8} > 7.8 > 7\frac{3}{4} > 7.5

Thus the numbers are ordered from greatest to least

5 0
3 years ago
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