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Viefleur [7K]
3 years ago
14

The Mason family drove round trip from their house to their son's college campus in 5 in a half hours. If the distance from the

Mason's home to their son's college campus is 154 miles away, what was their average speed?
Mathematics
1 answer:
Anna11 [10]3 years ago
8 0
Average speed is given by total distance traveled divided the total time taken.

Given that the distance from Mason's home to their son's college campus is 154 miles, then a round trip (to and fro) <span>from their house to their son's college campus will be 2 * 154 = 308 miles and the journey took 5 and a half hours.

Therefore, the average speed is given by:

</span>Average\, speed= \frac{308\, miles}{5.5\, hours} =56\, miles/hour<span>
</span>
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Paul is saving for a down payment to buy a house. The account earns 13% interest compound quarterly, and he wants to have $15,00
Tatiana [17]

Answer:

The principal must be = $8991.88

Step-by-step explanation:

Formula for compound interest is:

A = P(1 + \frac{r}{n})^{nt}

Where A is the amount after 't' years.

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n is the number of times interest is compounded each year.

r is the rate of interest.

Here, we are given that:

Amount, A = $15000

Rate of interest = 13 % compounded quarterly i.e. 4 times every year

Number of times, interest is compounded each year, n = 4

Time, t = 4 years.

To find, Principal P = ?

Putting all the given values in the formula to find P.

15000 = P(1 + \frac{13}{400})^{4\times 4}\\\Rightarrow 15000 = P(1 + 0.0325)^{16}\\\Rightarrow 15000 = P(1.0325)^{16} \\\Rightarrow 15000 = P \times 1.66817253\\\Rightarrow P = \dfrac{15000}{1.66817253}\\\Rightarrow P \approx \$8991.88

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4 0
3 years ago
Show all work to solve 3x^2 + 5x − 2 = 0
Ratling [72]

Answer:

x=1/3 or x=−2

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Step-by-step explanation:

Step 1: Add 2 to both sides.

3x^2+5x−2+2=0+2

3x^2+5x=2

Step 2: Since the coefficient of 3x^2 is 3, divide both sides by 3.

3x^2+5x/3=2/3

x^2+5/3x=2/3

Step 3: The coefficient of 5/3x is 5/3. Let b=5/3.

Then we need to add (b/2)^2=25/36 to both sides to complete the square.

Add 25/36 to both sides.

x^2+5/3x+25/36=2/3+25/36

x^2+5/3x+25/36=49/36

Step 4: Factor left side.

(x+5/6)^2=49/36

Step 5: Take square root.

x+5/6=±√49/36

Step 6: Add (-5)/6 to both sides.

x+5/6+ −5/6=

−5/6±√49/36x=−5/6±√49/36x=

1/3 or x=−2

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3 years ago
How do you write 4.092 in expanded notation?
DanielleElmas [232]
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Tom rode his horse for 4/6 mile. Liz rode her horse for and equal distance. what is an equivalent fraction that describes how fa
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I saw the images that accompanied this problem. 

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4/6 is equal to 2/3 because when 4 and 6 are both divided by 2, they give quotient of 2 and 3, respectively.

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Answer:

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-12 = p

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