Answer: 50yd
Step-by-step explanation:
We know that the area of any rectangle is length times width. The perimeter is the sum of twice the length and twice the width.
Let width = x
Let length = 4x
Area = 100m2
Next, we can write an equation using these variables and formula for area.
4x2 = 100
x2 = 25
x = -5 and x = 5
Since the dimensions cannot be negative, we accept the positive value:
x = 5
Next, we can substitute this value of x into the variables.
width = 5 m
length = 20 m
Finally, we can find the perimeter by plugging in these dimensions into the perimeter formula,
Perimeter = 2(5 m) + 2(20 m)
= 10 m + 40 m
= 50 m
Answer:
child buffet = $16, adult buffet =$23
Step-by-step explanation:
lets assume that child buffets costs, $x
and adult buffets costs $y
2x+4y= $124 .............this is our first equation
x+4y =$108 ................our second equation
<em>2x + 4y = 124</em>
<em>2x = 124 - 4y</em>
<em>x = 62 - 2y ....from first equation</em>
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<em>x+4y =$108</em>
<em>x = 108 -4y ... from second equation</em>
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now we will solve it through simultaneous equations
<em>62 - 2y = 108 -4y</em>
<em>2y = 46</em>
<em>y = $23</em>
<em>if y =$23</em>
<em>then x = 108 - 4(23)</em>
<em>x = $16</em>
Answer: 65
Step-by-step explanation:
<u>Given:</u>
This year's attendence = 107
Let last year's attendence = x
<u>Create an equation an solve for x:</u>
2x - 23 = 107
2x = 107 + 23
2x = 130
x = 130/2
x = 65
Therefore, 65 children attended last year's Vacation Bible School
Answer:
$2,699.72
Step-by-step explanation:
Given that
The deposited amount is $2,000
The annual rate of interest is 6%
And, the time period is 5 years
We need to find out the amount that would be in the account in the case when it is compounded daily
So,
The following formula should be used
= Deposited amount × e^(rate, time period)
= $2,000 × e^(0.06,5)
= $2,000 × e^0.3
= $2,699.72