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Alinara [238K]
2 years ago
8

It takes 45 minutes to drive to the nearest bowling alley taking city streets going

Mathematics
1 answer:
Savatey [412]2 years ago
7 0

Answer:

21 minutes

Step-by-step explanation:

Given the following :

Taking CITY STREET:

Time taken to drive to nearest bowling alley = 45 minutes = 45/60 = 0.75 hours

Speed of travel = 30 miles per hour

Taking FREEWAY:

speed of travel = 65miles per hour

If the distance to bowling alley is the same along both routes, The time taken along FREEWAY will be :

.

Distance to bowling alley taking city center :

Speed = distance / time

30 mph = distance / 0.75 hour

Distance = 30 × 0. 75 = 22.5 miles

Since distance is the same :

Time taken along FREEWAY :

Time taken = distance / speed

Time taken = 22.5 / 65 = 0.3461538 hour

Converting to minutes :

0.3461538 × 60 = 20.769 minutes

= 21 minutes ( to the nearest minute)

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A house is being purchased at the price of $138,000.00. The 30-year mortgage has a 10% down payment at an interest rate of 4.875
Mama L [17]

Answer:

  $238,600

Step-by-step explanation:

The amount being borrowed is 100% -10% = 90% of the purchase price, or ...

  0.90 × $138,000 = $124,200.

Then the monthly payment can be computed using the amortization formula:

  A = P(r/12)/(1 -(1 +r/12)^(-12t))

  A = 124200(.04875/12)/(1 -(1 +.04875/12)^(-12·30)) ≈ 657.28

and the total repaid is ...

  (360 months) × ($657.28/month) = $236,619.58*

The cost of mortgage insurance is considered part of the cost of the loan. That amount is ...

  (77 months) × ($25.88/month) = $1992.76

so the total amount paid for the loan is ...

  $236,619.58 +1992.76 = $238,612.34

The cost of the loan is about $238,600.

_____

* In figuring the total repayment cost, we used the full-precision value for the loan payment. The actual repayment amount will depend on the rounded value of the loan payment and the way the final payment is made. When rounded to the nearest $100, these details become unimportant.

3 0
2 years ago
The distribution of average wait times in drive-through restaurant lines in one town was approximately normal with mean \mu = 18
Fynjy0 [20]

Answer:

193

Step-by-step explanation:

8 0
2 years ago
Maya bought a dozen specialty donuts at the bakery for $18. She purchased a mixture of frosted donuts for $2 each, glazed donuts
Zina [86]

Answer:

The quantity of frosted donuts = 2

The quantity of glazed donuts = 9

The quantity of custard filled donuts = 1

Step-by-step explanation:

Let the quantity of frosted donuts = x

Let the quantity of glazed donuts = y

Let the quantity of custard filled donuts = z

As per question statements, following equations can be made:

x+y+z=12......(1)\\2x+y+5z=18.....(2)\\x=2z ...... (3)

Putting x=2x in (1) and (2):

y+3z=12 .... (4)\\y+9z=18 .... (5)

Subtracting (4) from (5):

6z=6\\\Rightarrow z =\bold{1}

By equation (3):

x=\bold{2}

By equation (1):

y=\bold{9}

Therefore, the answers are:

The quantity of frosted donuts = 2

The quantity of glazed donuts = 9

The quantity of custard filled donuts = 1

3 0
2 years ago
Kai left her mansion and walked 7 miles south. Then, she turned and walked 5 miles to the east. How far is Kai from home?
Alexandra [31]

easy 12 miles from home

Step-by-step explanation:

first add 7 +5 to get 12

8 0
2 years ago
Write an equation for “a number decreased by -4 is equal to 15”. Then solve the equation.
Alexxx [7]

Answer:

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Step-by-step explanation:

6 0
2 years ago
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