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julsineya [31]
2 years ago
13

mark can cleaN the house in 7 hours. when he cleans the same house with wend, it takes them 3 hours to clean the house. how long

would it rake wendy to clean the house by herself
Mathematics
2 answers:
nevsk [136]2 years ago
8 0

Answer:

4

Step-by-step explanation:

blondinia [14]2 years ago
7 0

Answer:5.25

Step-by-step explanation:

3(1/7 + 1/x) = 1

3([x + 7]/7x) = 1

3x + 21 = 7x

4x = 21

x = 21/4 OR 5.25

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janelle wishes to finance a car for $33,000. the bank's annual interest rate is 3.5%, and she can choose between durations of fi
Harman [31]

Answer:

For a duration of 5 years, Monthly Payment =$600.42

For a duration of 6 years, Monthly Payment =$508.83

Step-by-step explanation:

P=\dfrac{ar (1+r)^n}{(1+r)^n-1} \\

where a= Amount to Finance=$33,000

Annual interest rate = 3.5%=0.035

r=Monthly Interest Rate= 0.035 ÷ 12 =\frac{7}{2400}

n=number of months to pay

For a duration of 5 years

n=5X12=60 months

P=\dfrac{ar (1+r)^n}{(1+r)^n-1} \\\\P=\dfrac{33000 X\frac{7}{2400} (1+\frac{7}{2400} )^{60}}{(1+\frac{7}{2400})^{60}-1} \\=\dfrac{96.25 (1.1909)}{1.1909-1}\\=\dfrac{96.25 (1.1909)}{0.1909}\\=\dfrac{114.62}{0.1909}=\$600.42

For a duration of 6 years

n=6X12=72 months

P=\dfrac{ar (1+r)^n}{(1+r)^n-1} \\\\P=\dfrac{33000 X\frac{7}{2400} (1+\frac{7}{2400} )^{72}}{(1+\frac{7}{2400})^{72}-1} \\=\dfrac{96.25 (1.2333)}{1.2333-1}\\=\dfrac{96.25 (1.2333)}{0.2333}\\=\dfrac{118.71}{0.2333}=\$508.83

4 0
3 years ago
To estimate the height of a mountain, two students find the angle of elevation from a point (at ground level) b = 800 meters fro
Nady [450]

Answer: The height of the mountain is 1,331.4 meters (approximately)

Step-by-step explanation: From the information given, the students were standing at point b which is 800 meters from the base of the mountain and the angle of elevation from that point is 59°. Assuming that the ground is level, we can derive a right angled triangle from this set of details and hence we have triangle ABC, where angle β is the reference angle, (59 degrees), BC is the distance from the students to the base of the mountain (800 meters) and the line AC is the height of the mountain.

The line AC is the opposite, since angle B is the reference angle, therefore we shall use the trigonometric ratio as follows;

Tan β = opposite/adjacent

Tan 59 = AC/800

Tan 59 x 800 = AC

1.6643 x 800 = AC

1331.44 = AC

AC ≈ 1331.4

Therefore the height of the mountain is approximately 1,331.4 meters

6 0
3 years ago
Read 2 more answers
ASAP! ILL MARK BRAINLIEST !
mash [69]

Answer:

105°

Step-by-step explanation:

6 0
3 years ago
58 points. Please answer this question ASAP!
miv72 [106K]
Yes it'll tessellate because if you notice the squares are only on the flat side of the hexagon and the triangles are on the corners
6 0
3 years ago
Read 2 more answers
PlZ HELP WILL MARK YOU AS THE BRAINLIEST!
defon

Answer:

1. distance = sqrt( (7-7)^2+(2- -8)^2) = 10

2.  check out desk (0,0 ) => distance = sqrt( (0- -9)^2+(0-0)^2) = 9

3. last corner ( -3, 4)

4. area = sqrt( (-10- -10)^2+(10-4)^2) x sqrt( (-3- -10)^2+(10-10)^2) = 6x7 =42

5. check desk (0,0), south direction = negative y axis => P_beginning (0,-20), P_end (0,-(20+25)) = (0,-45)

6. A(-2,-1) and B(4,-1) lie in y =-1. AB = sqrt( (-2- 4)^2+(-1- -1)^2) =6

=> area = 3.6x6 =21.6

=> peri = 2x(3.6+6) = 19.2

7. A(-5,4) and B(2,4), AB =  sqrt( (-5- 2)^2+(4- -4)^2) = 7 => AB is base

=> p = peri = 7+ 8.3x2 = 23.6

=> area = sqrt[px(p-7)x(p-8.3)x(p-8.3)]

             =sqrt[23.6x(23.6-7)x(23.6-8.3)x(23.6-8.3)] = 302.8

5 0
3 years ago
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