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2 years ago

12

Conor has a roll of fence that is 25 feet long. He needs 8 yards of fence to go around a flower bed. Does he have enough fence t

o go around the flower bed?

1 answer:

vlabodo [156]2 years ago

8 0

Answer:

Yes he has enough fence to go round the flower bed.

Step-by-step explanation:

1 yard = 3 feet

25 feet = 25/3 = 8.33 yards

Yes he has enough fence to go round the flower bed.

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What is the horizontal asymptote of f (x) =StartFraction negative 2 x Over x + 1 EndFraction? y = –2 y = –1 y = 0 y = 1

miv72 [106K]

Answer:

y = -2

Step-by-step explanation:

Any asymptotes of a rational function will be described by the quotient of the numerator and denominator (excluding any remainder).

$f(x)=\dfrac{-2x}{x+1}=-2+\dfrac{2}{x+1}$

The horizontal asymptote is ...

y = -2

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2 years ago

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A tree with a height of 12 yards casts a shadow that is 33 yards long at a certain time of day. At the same time, another tree n

stellarik [79]

$Shadow\ of\ second\ three\ is\\\\
33+20=53\\
Triangles\ made\ of\ three\ and\ shadows\ are\ similar, so\\
Proportion\ of\ length\ of\ shadow:\ \frac{53}{33}\\\\
Height\ will\ be\ on\ the\ same\ proportion\\\\
\frac{x}{12}=\frac{53}{33}\\\\
3x=53*12\\
3x=636\\
x=212\\
Second\ three\ has\ 212\ yards.$

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2 years ago

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If Ethan takes out a $5,000 loan to buy a motorcycle and his payments are $168.45 a month for 36 months, how much money will he

Vilka [71]

Answer:

$1064.20

Step-by-step explanation:

36 payments of $168.45 have a total of $6064.20. The excess over the loan amount of $5000 is the interest paid:

$6064.20 -5000 = $1064.20 . . . . interest paid

4 0

1 year ago

If 1 cm represents 30 km on a map and colorado is shown by a 20cm by 15 cm rectangle on the map, what is the approximate actual

zubka84 [21]

Answer:

20*30km = 600km

15*30km = 450km

600km * 450km = 270000 km^2

Step-by-step explanation:

assuming 1cm --- 30km causes that 2cm --- 60km, 3cm --- 90km, 4cm --- 120km etc. Notice that number of km's is 30 times greater than the number of cm's on a map

using this logic, you calculate both real dimensions of Colorado by multiplying 20*30 = 600 km and 15*30 = 450km

Then we use a formula of an area of a rectangle $A=a\cdot b$ assuming $a=600km, \ b=450km$ and get $A=600\cdot 450=270000km^2$ which is an actual area of Colorado

3 0

1 year ago

A bank is offering you an introductory credit card promotion. Your interest for the first year is 8%. But, at the beginning of t

Ahat [919]

Answer:

$\$22.5$

Step-by-step explanation:

GIVEN: A bank is offering you an introductory credit card promotion. Your interest for the first year is $8\%$ . But, at the beginning of the $2$ nd year your interest rate will go up to $23\%$ . If you have an $\$1,800$ balance on your card throughout both years.

TO FIND: difference in the monthly interest owed during year $1$ and year $2$ .

SOLUTION:

rate of interest for first year $=8\%$

total amount on card $=\$1800$

interest earned in first year $=\frac{\text{Principal}\times\text{rate}\times\text{time}}{100}$

$=\frac{1800\times8\times1}{100}$

$=\$144$

monthly interest owed $=\frac{\$144}{12}=\$12$

rate of interest for first year $=23\%$

total amount on card $=\$1800$

interest earned in first year $=\frac{\text{Principal}\times\text{rate}\times\text{time}}{100}$

$=\frac{1800\times23\times1}{100}$

$=\$414$

monthly interest owed $=\frac{\$414}{12}=\$34.5$

Difference in monthly interest owed during year $1$ and year $2$ $=34.5-12=\$22.5$

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2 years ago