The equation is y=16(1.35)ˣ.
This equation is of the form y=a(1+r)ˣ, where a is the initial amount, r is the rate of growth expressed as a decimal number, y is the total, and x is the amount of time. For our problem, a is 16; b is 0.35 (35%=35/100=0.35). This gives us the equation above.
Answer:
107%
Step-by-step explanation:
$14 to $29
Original number/start = $14
End number = $29
Increase = $29 - $14 = $15
% increase = Increase ÷ Original Number × 100
Substitute in known values
% increase = 15 ÷ 14 × 100
Divide
% increase = 1.07 × 100
Multiply
% increase = 107%
The percentage increase is 107%
Hope this helps :)
Answer: X=-7
Step-by-step explanation:
Using PEMDAS;
Step 1: Distribute the "3" in the part of the equation "3(x-2)"
3x - 6
Step 2: Consider the equation as a whole with the newly part of the equation from step 1, as it is a part of the equation
Therefore, re-written as,
3x - 6 + 48 = -3x
Step 3: Evaluate the re-written equation
Using basic mathematics skills, we can evaluate the following,
3x - 6 + 48 = -3x ➡ -6 + 48 = -6x ➡ 42 = -6x ➡ -7 = x
As shown, the answer is x=-7.
Answer:
86
Step-by-step explanation:
<u>Perimeter of WXY = WSY+WRX+XY</u>
<em>--> WSY = SY x 2</em>
--> WSY = 16 x 2 = 32
<em>Since it is an isosceles triangle, WRX = WSY</em>
--> WRX = 32
<em>--> Draw a straight line from W to XY to divide it into two halves assuming it to be point A. This would form a right angle triangle of WAX.</em>
<em>--> Solve it using the cos theta rule</em>
--> Angle = Angle X = 70°
Hypotenuse = WRX = 32
Adjacent = WA = ?
<em>--> Cos (Angle) = Adjacent/Hypotenuse</em>
Cos (70) = WA/32
WA = 10.9 rounded off to 11
--> WA=AY= 11
--> XY = WA + AY = 11+11 = 22
<em>--> Perimeter = WSY+WRX+XY</em>
Perimeter = 32+32+22
Perimeter = 86
Therefore, the perimeter of WXY is 86.
Answer:
75 minutes
Step-by-step explanation: 750 divided by 10 is 75
