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Aleks04 [339]
2 years ago
8

a car rental service rently purchased all new vehicles .to help cover the cost ,rental rates have to increase 26% from the norma

l rate $45.00 per day. what should the new rate be
Mathematics
1 answer:
ruslelena [56]2 years ago
5 0

Answer:

The new rate should be $56.67 per day

Step-by-step explanation:

Proportion states that the two fractions or ratios are equal.

As per the statement:

Normal rate per day = $45

To find the new rate:

Let new rate be x per day

By definition of proportion:

\frac{126}{100} = \frac{x}{45}

By cross multiply we have;

100x = 126 \times 45

Divide both sides by 100 we get;

x = \frac{126 \times 45}{100}

Simplify:

x = $56.7

Therefore, the new rate should be $56.7 per day




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Using the standard 28/36 guidelines, what is the maximum mortgage payment allowed for someone with an annual salary of $60,750?
Anna11 [10]

\frac{28}{36} rule says that 28 % of your total income should be spent on Housing finances and 36 % of your gross total income should be spend for Debts.

Annual Salary = $ 60,750

Maximum mortgage payment=28% of $ 60,750

=\frac{28}{100} \times 60750=\frac{1701,00}{100}\\\\ =1701

Maximum ,mortgage payment allowed for someone with an annual salary of $60,750= $ 1,701.00→→→Option (C)


7 0
2 years ago
Read 2 more answers
A thermal insulating sleeve is used to cover the lateral surface of a hot water heater to help improve efficiency. The hot water
Alex

Answer:

706.85775

Step-by-step explanation:

First you find the volume of the tank

13*3.14159=40.84067

40.84067*75=3063.05025

Then find the volume of both the tank and sleeve

13+3=16

16*3.14159=50.26544

50.26544*75=3769.908

Subtract the original volume with the combined volume

3769.908-3063.05025=706.85775

8 0
2 years ago
What are the measures of Arc J K and ∠KIJ?
expeople1 [14]

Answer:

104 and 52

Step-by-step explanation:

just did the assignment on edgen

7 0
2 years ago
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In a box containing 25 cherries, 2 of them are rotten. Susan randomly picks cherries in the box. How many cherries should be pic
bezimeni [28]

Answer:

Susan should pick 6 cherries from box, so the probability of picking the 2 rotten cherries is 1/20

Step-by-step explanation:

assuming that each cherry is equally probable to be chosen , since each cherry is independent from the others and sampling is done without replacement , the random variable X= number of cherries that are rotten from the picked ones follows a hyper geometrical distribution , where

P(X=k)= C(M,k) * C(N-M, n-k) / C(N,n)

where

N= population size = 25

n= number of picks

M = total number of rotten cherries =2

k = number of rotten cherries picked =2

C( ) = combination

then

1/20=C(2,2)*C(25-2,n-2)/C(25,n) = 1 * (23!/(n-2)!*(25-n)! / (25!/(n!*(25-n)!

1/20 = n!/(n-2)!  * 1/(24*25)

24*25/20 = n*(n-1)

n²-n-30 =0

n= (1 +√(1+4*1*30))/2 = 12/2= 6

n=6

then Susan should pick 6 cherries from box, so the probability of picking the 2 rotten cherries is 1/20

7 0
2 years ago
Miguel needs to fix a window screen that is 23 feet above the ground. The ladder he uses makes a 75° angle with the ground. What
madam [21]

Let L be the length of the ladder, and consider the 75 degree angle.  Thinking in terms of trig, the "opposite side" of the triangle formed by the ladder, the ground and the wall is 23 ft.  Your job is to determine the length of the ladder, which is the same as the length of the hypotenuse of the triangle.

The sine function relates these two lenths:

                     opp. side           23 ft

sin 75 deg = ----------------  =  --------------

                       hyp                    hyp

                                             23 ft                     23 ft

Solving for hyp,   hyp = ----------------------  =  ------------ = 23.8 ft                                                                    sin 75 deg             0.956

The minimum ladder length would be 23.8 ft, which rounds up to 24 ft.

Check:  is (23.8 ft)(sin 75) = 23 ft?  Yes.

3 0
2 years ago
Read 2 more answers
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