Given:
The area of a square garden = 100 sq. ft
To find:
The perimeter of the garden.
Solution:
Let the side of the square garden be a.
Area of a square = [tex]a^2[/tex]
So, [tex]a^2=100[/tex].
Taking square root on both sides.
[tex]a=\pm \sqrt{100}[/tex]
[tex]a=\pm 10[/tex]
Length of side cannot be negative. So, a=10. It means, side length of the garden is 10 ft.
Perimeter of square = 4a.
Perimeter of square garden is
[tex]4(10)=40[/tex]
Therefore, the perimeter of the square garden is 40 ft.
please answer q14 and 15 ill mark u as brainliest
Hank has the choice of taking out a 30-year loan for $165,000 at 9.1% interest, compounded monthly, or the same loan at 20 years for a higher monthly payment. How much more is the monthly payment for the 20-year loan than the monthly payment for the 30-year loan? O A. $56.47 O B. $155.66 O c. $99.19 OD. $90.05
If Hank has the choice of taking out a 30-year loan for $165,000 at 9.1% interest. The amount that the monthly payment for the 20-year loan is more than the monthly payment for the 30-year loan is: B. $155.66.
How to find the monthly payment?For 30-year loan
P= principal = $165,000
r = Rate = 9.1% /12 = 0.00758
n = Number of months= 30years × 12 months = 360
So,
Monthly payment = 165,000×0.00758 × ( 1+0.00758)^360 / (1+0.00758)^360 -1
Monthly payment = 165,000×0.00758 × ( 1.00758)^360 / (1.00758)^360 -1
Monthly payment = 18,957.7574/14.15771760
Monthly payment = $1,339.04
For 20-year loan
P= principal = $165,000
r = Rate = 9.1% /12 = 0.00758
n = Number of months= 20years × 12 months = 240
So,
Monthly payment = 165,000×0.00758 × ( 1+0.00758)^240 / (1+0.00758)^240 -1
Monthly payment = 165,000×0.00758 × ( 1.00758)^240 / (1.00758)^240 -1
Monthly payment = 7,660.239666/5.12476186615
Monthly payment = $1,494.7
Difference = $1,339.04 - $1,494.7
Difference = $155.66
Therefore the correct option is B.
Learn more about monthly payment here:https://brainly.com/question/12530214
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BRAINLIEST AND 25 POINTSLinda has two glasses of pineapple juice. Glass A has 60 grams of juice at 30 °C. Glass B has 60 grams of juice at 40 °C.
Which of the following steps will make the kinetic energy of the molecules of the juice in both glasses equal?
Add 15 grams of juice at 30 °C to Glass A
Add 15 grams of juice at 40 °C to Glass B
Decrease the temperature of juice in Glass B by 10 °C
Increase the temperature of juice in Glass A by 30 °C
i know it aint math but no one else is in the other subjects
Answer:
C
Step-by-step explanation:
Simple physics
Answer:
try decrease the temperature of juice in glass B by 10 °C
Step-by-step explanation:
the only one that makes sense to me... sorry if im wrong
What is the slope of the line that passes through the points(3,2) and (-1,2)
Answer:
0/4
Step-by-step explanation:
m = slope
m = rise/run
m = 2 - 2/ -1 - 4= 0/4
(That' the best I can do looks wise.)
Find m∠4 if m∠1 = 100°
Answer:
obtuse angle
Step-by-step explanation:
hhhhhhh i need helpp
Answer:
x<27
Step-by-step explanation:
2(x+x+4)<116
2(2x+4)<116
2x+4<58
2x<54
x<27
need help!!
solve the solution of the
inequality:
x - (5 – 3x) < 2x – 1
Answer:
x < 2
Step-by-step explanation:
Given \sqrt{27}+\sqrt{108}
27
+
108
=27^{\frac{1}{2}}+108^{\frac{1}{2}}=27
2
1
+108
2
1
3^{\frac{1}{2}}\cdot9^{\frac{1}{2}}+3^{\frac{1}{2}}\cdot36^{\frac{1}{2}}3
2
1
⋅9
2
1
+3
2
1
⋅36
2
1
3\cdot3^{\frac{1}{2}}+6\cdot3^{\frac{1}{2}}3⋅3
2
1
+6⋅3
2
1
18\cdot3^{\frac{1}{2}}18⋅3
2
1
Answer: I need points sorry that I'm to dumb to answer.
Step-by-step explanation:
Darryl left the White House and traveled toward the ferry office at an average speed of 25 mph. Some time later Jacob left traveling in the opposite direction with an average speed of 35 mph. After Darryl had traveled for four hours they were 170 mi. Apart. How long did Jacob travel?
Answer:
2 hours
Step-by-step explanation:
Given the following :
Darryl :
Speed = 25mph
Jacob:
Traveled in opposite direction
Speed = 35mph
After Darryl had traveled for 4 hours, Distance between them was 170 miles
Distance traveled by Darryl :
Speed * time = (25 * 4) = 100 miles
Total distance = distance traveled by Darryl + distance traveled by Jacob
170 miles = 100 miles + distance traveled by jacob
Distance traveled by Jacob = 170 - 100
Distance traveled by Jacob = 70 miles
Time = distance / speed
Time traveled by Jacob = 70 miles / 35mph
Time traveled by Jacob = 2 hours
ano ang kahulugan ng kaluwagang palad
Answer:
pagiging matulungin sa kapwa
The set of ordered pairs shown below is a relation that is a function of x.
{(1,3), (2,4), (3,5), (4,6)
Which ordered pair could be included in the set so that the relation remains a function of x?
A. 0,4. B 2,4 C 3,3 D 4,7
Answer:b
Step-by-step explanation:
The perimeters of the square and the regular pentagon are equal. A square with side lengths of 3x + 3. A pentagon with side lengths of x + 8. What is the perimeter of each polygon?
Answer:
The answer is Not 40 idk what it is
Step-by-step explanation:
How many degrees warmer is a temperature of 13°F than a temperature of -19°F?
a.32°F
b.6°F
c.-32°F
d.-6°F
Problem 2: The perimeter of the UNC Chapel Hill basketball court is 100 meters and the
length is 16 meters more than the width. What are the dimensions?
Given parameters:
Perimeter of the court = 100m
Unknown:
Dimensions = ?
Solution:
let the width = w
Length is 16m more;
Length = w + 16
Perimeter = 2(L + w)
100 = 2 (w + 16 + w)
100 = 2(2w + 16)
100 = 4w + 32
4w = 100 -32
4w = 68
w = 17
So, length = w + 16 = 17 + 16 = 33m
The dimensions of the court are length 33m and width 17m
Please help . Thank you :)
Answer:
A.) 53°
Step-by-step explanation:
SPR + RPQ =90°
37° + RPQ = 90°
37° - 37° + RPQ = 90° - 37°
RPQ = 53°
what is the answer to 2x+5=12x-15
Answer:
Hi there!
Your answer is
x=2
Step-by-step explanation:
2x+5=12x-15
-12x
-10x+5=-15
-5
-10x= -20
/-10
x= 2
Answer:
x=2
Step-by-step explanation:
First you would subtract 2x from both sides so. Then you will add 15 so you can isolate your x onto your right side. Then you will divide both sides by 10 to get x=2.
Jan's pay is in direct variation to the hours she works. Jan earns $54 for 12 hrs of work. How much will she earn for 18 hrs of work?
Answer:
if she works 18 she earns 81 dollars i think
Multiply: (-12/25) (-10/16)
A. -3/10
B. 3/10
C. 5/6
D. -5/6
Answer:
b
Step-by-step explanation:
(-12/25) (-10/16) = 0.3
3/10 = 0.3
[tex] - \frac{12}{25} \times - \frac{10}{16} = \frac{3}{5} \times \frac{2}{4} = \\ [/tex]
[tex] \frac{3}{5} \times \frac{1}{2} = \frac{3}{10} \\ [/tex]
Thus B is the correct answer...
♥️♥️♥️♥️♥️
-13=m-7 how can i solve for m
Answer: m=-6
Step-by-step explanation:
Add 7 to the other side
x(yz), for x = 8, y = -9, z = 5
Use the drop-down menus to complete each sentence.
In section A, speed is
as time is increasing.
In section B, speed is
as time is increasing.
In section C, speed is
as time is increasing.
In section D, speed is
as time is increasing.
Answer:
1. Decreasing 2. Constant 3. Increasing 4. Constant
Step-by-step explanation:
:)
Adam is ordering pizza for a company party that he needs to have catered. Company A charges $8 for each pizza and a delivery/set-up fee of $45. Company B charges $12 for each pizza and a delivery/set-up fee of $5. Which inequality can be used to find x, the least number of pizzas that can be ordered so that the total charge for Company A is less than the total charge for Company B? A) 8 + 45x > 12 + 5x B) 8 + 45x < 12 + 5x C) 8x + 45 < 12x + 5 D) 8x + 45 > 12x + 5
Answer:
C 8x =45< 12x +5
Step-by-step explanation:
24-3x=-6x+22
Please answer x as a fraction
Answer:
I believe if you have a letter with no value or the value is unknown you put it over 1
Answer:
x = -2/3
Step-by-step explanation:
24 - 3x = -6x + 22
solve using inverse operations
24 - 3x = -6x + 22
+ 6x + 6x
24 + 3x = 22
-24 -24
3x = -2
/3 /3
x = -2/3
Which integer is 55−−√ closest to?
Answer:
50--
Step-by-step explanation:
Maria walked 4.035 kilometers What is 4.035 written in expanded form?
Answer:
four and thirty-five thousandths
suppose y varies directly as x. If y = 30 when x = 8, find y when x = 4
Answer:
15
Step-by-step explanation:
I hope you have a great day and welcome to brainly!
A diver ascended 9/10 of a meter in 1/10 of a minute. What was the diver r
ate of ascent
Rate = distance / time.
Distance= 9/10
Time = 1/10
Rate = 9/10 divided by 1/10 which is 9.
9 meters per second.
540 meters per minute.
What is the scale factor from triangle DEF to triangle ABC?
2
i hope this helps
Answer:
4
Step-by-step explanation:
answer ^^
super ez
lol
low,low
low, high
high,high
Which of the following values are solutions to the inequality −6≤1+3x?