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Soloha48 [4]
1 year ago
7

Renee, Susan, and Martha will share the cost to rent a vacation house for a week. ​Renee will pay 40% of the cost. Susan will pa

y 0.35 of the cost.Martha will pay the remainder of the cost. Martha thinks she will pay 13 of the cost. Is Martha correct? Explain why or why not using mathematical evidence. The cost to rent a vacation house for a week is $850. How much will Renee, Susan, and Martha each pay to rent this house for a week
Mathematics
1 answer:
notsponge [240]1 year ago
5 0

Answer:

Martha is incorrect.

Amount paid by Renee = \$340

Amount paid by Susan = $297.5

Amount paid by Martha = \$212.5

Step-by-step explanation:

Given: ​Renee will pay 40% of the cost. Susan will pay 0.35 of the cost.Martha will pay the remainder of the cost. Martha thinks she will pay 13 of the cost.

To find: Is Martha correct?

To find: amount paid by each of Renee, Susan, and Martha

Solution:

Percentage of an amount paid by Renee = 40%

Percentage of an amount paid by Susan = 35%

So,

Percentage of an amount paid by Martha = 100-40-35=25\%

But Martha thinks she will pay 13 of the cost. So, she is incorrect.

Amount paid by Renee = \frac{40}{100}(850)=\$340

Amount paid by Susan = \frac{35}{100}(850)=\$297.5

Amount paid by Martha = \frac{25}{100}(850)=\$212.5

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A yogurt shop offers 6 different flavors of frozen yogurt and 12 different toppings. How many choices are possible for a single
Goryan [66]

Answer:

#3) 72; #4) 40,320; #5) 90.

Step-by-step explanation:

#3) The number of possible choices are found by multiplying the choices of flavors and the choices of toppings:

6*12=72.

#4) The ordering of 8 cards is a permutation, given by 8!=40,320.

#5) This is a permutation of 10 objects taken 2 at a time:

P(10,2) = 10!/(10-2)!=10!/8!=90.

P.S I had the same question once.

7 0
1 year ago
Last year Lenny had an annual earned income of $58,475. He also had passive income of $1,255, and capital gains of $2,350. What
Lelechka [254]

<u>Answer:</u>  d. $62,080

<u>Step-by-step explanation:</u>

<u></u>

The capital gain is the profit earned from an investment whereas the passive income is the income generated by very minimal daily efforts.

Given: Annual income earned by Lenny = \$58,475

Passive income =  \$1,255

Capital gain =  \$2,350

Now,  \text{Total gross income =Annual income+Passive income+Capital gain}

=\$58,475+\$1,255+\$2,350=\$62,080

Hence, Lenny's total gross income for the year = $62,080

4 0
1 year ago
Read 2 more answers
A map shows the town where Niko lives. The actual distance from Niko's house to his school is 3 miles, and measures one-half inc
katrin2010 [14]

Answer:

<u>The distance of the library in the map is 0.67 inches (Rounding to two decimal places)</u>

Step-by-step explanation:

1. Let's review all the information given for solving this question:

Scale factor for the map of the town = 0.5 inches: 3 miles

Distance from Niko's house to his school = 3 miles

Distance from Niko's school to the library = 4 miles

2. Let's find the distance of the library in the map

Distance of the library in the map = Distance of the library * Scale factor

Distance of the library in the map = 4 miles * 0.5 inches:3 miles

Distance of the library in the map = (2 miles * inches)/3 miles

Distance of the library in the map = 2 inches/3 (Miles are cancelled in the numerator and in the denominator)

<u>Distance of the library in the map = 0.67 inches (Rounding to two decimal places)</u>

3 0
2 years ago
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If s(x) = 2 – x2 and t(x) = 3x, which value is equivalent to (s circle t) (negative 7)?
Lisa [10]

Answer:

-439

Step-by-step explanation:

(s circle t) (negative 7) is a notation for a compound function.

A compound function is a function that has as an argument another function.

Another notation for this compound function is s(t(-7)), that is, the result of the function t(-7) is the value that will be used in the function s(x).

So, first we calculate the value of t(-7):

t(x) = 3x

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Now, we apply this value for s(x):

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s(t(-7)) = s(-21) = 2 - (-21)^2 = 2 - 441 = -439

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Answer:   The drive was 24.32% full when the transfer began.

 

Step-by-step explanation:

Given: The rate of transferring file = 4.44 megabytes per second.

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The amount of transferred data = 32\times4.4=140.8 megabytes  

Therefore, the amount of data in the drive at the beginning is given by :-

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The drive had a maximum capacity of 1000 megabytes.

\frac{243.2}{1000}\times100=24.32\%

Hence, the drive was 24.32% full when the transfer began.

4 0
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