Given that,
The given expression is : 
To find,
The value of the above expression when x = 2 and y = 4
Solution,
We have,
Put x = 2 and y = 4 in the above expression.
So, the value of the above expression is 18.
Answer:
the future value is $5800.38
Step-by-step explanation:
Given that
The invested amount i.e present value is $500
The rate is 5 % per year so quarterly rate is 5% ÷ 4 = 1.25%
The time period is 3 per year so for quartely it is 3 × 4 = 12
We need to find out the future value
So as we know that
Future value = Present value × (1 + rate of interest)^time
= $500 × (1 + 0.0125)^12
= $580.38
hence, the future value is $5800.38
Answer: the expression for the combined total number of miles she biked in the two days is
117 - 5x miles
Step-by-step explanation:
Let x be the number of hours she biked yesterday.
In the two days, she biked for a combined total time of 9 hours. This means that the number of hours that she biked today is (9 - x) hours.
Distance = speed × time
Yesterday, Carmen went on a bike ride. Her average speed was 8 miles per hour. This means that the distance that she covered yesterday is 8x miles
Today, she went on another ride, this time averaging 13 miles per hour. This means that the distance that she covered today is 13(9 -x) miles.
An expression for the combined total number of miles she biked in the two days is
8x + 13(9 - x)
= 8x + 117 - 13x
= 117 - 5x
Answer : The value of ∠H is 74°
Step-by-step explanation :
As we know that the opposite sides and opposite angles are equal in parallelogram.
That means,
Side MJ = Side FH
Side FM = Side HJ
∠MFH = ∠MJH
∠FHJ = ∠FMJ
As we are given that:
∠MJH = ∠MFH = 106°
Let ∠FHJ = ∠FMJ = x
As we know that the sum of interior angles of quadrilateral is equal to 360°.
∠MFH + ∠MJH + ∠FHJ + ∠FMJ = 360°
∠MFH + ∠MFH + ∠FHJ + ∠FHJ = 360°
2∠MFH + 2∠FHJ = 360°
2(∠MFH + ∠FHJ) = 360°
(∠MFH + ∠FHJ) = 180°
(106° + ∠FHJ) = 180°
∠FHJ = 180° - 106°
∠FHJ = 74°
Therefore, the value of ∠H is 74°
Answer: 48%
Divide 120 by 250 and you get .48, making it 48%
