Answer:
The area increases by 25.68 ![cm^2](https://tex.z-dn.net/?f=cm%5E2)
Step-by-step explanation:
The surface area of a cuboid is 2lw + 2wh + 2lh, where l = length, w = width, and h = height. The current surface area is 2*18*3.4 + 2*3.4*30 + 2*18*30, which is 1406.4. If the height is increased by 0.6 cm, the surface area will be 2*18*3.4+2*3.4*30.6+2*18*30.6, which is 1432.08. The difference is surface area is 25.68 ![cm^2](https://tex.z-dn.net/?f=cm%5E2)
Answer:
1. c. $450.
2. 22%
Step-by-step explanation:
1. We will use simple interest formula to find the amount of interest after 2 years on $5,000. As interest is not compounded, so it will not matter if she moves the simple interest earned in separate account or not.
, where,
I= Amount of interest.
P= Principal amount.
r= Interest rate in decimal form.
t= Time in years.
![4.5\text{ percent}=\frac{4.5}{100}=0.045](https://tex.z-dn.net/?f=4.5%5Ctext%7B%20percent%7D%3D%5Cfrac%7B4.5%7D%7B100%7D%3D0.045)
Upon substituting our given values in above formula we will get,
![I=5000*0.045*2](https://tex.z-dn.net/?f=I%3D5000%2A0.045%2A2)
![I=450](https://tex.z-dn.net/?f=I%3D450)
Therefore, Tracy will get an amount of $450 as simple interest after 2 years and option c is the correct choice.
2. Sylvia bought a 6-month $1900 certificate of deposit. At the end of 6 months, she received a $209 simple interest.
6 months is same as 1/2 year.
Upon substituting our given values in above formula we will get,
![r=\frac{209}{950}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B209%7D%7B950%7D)
Since interest rate is in decimal form, let us convert it in percent.
![\text{Interest rate}=0.22\times 100=22\text{ percent}](https://tex.z-dn.net/?f=%5Ctext%7BInterest%20rate%7D%3D0.22%5Ctimes%20100%3D22%5Ctext%7B%20percent%7D)
Therefore, interest rate of certificate of deposit was 22%.
Answer:
Step-by-step explanation:
You used Pythagorean theroem which is correct as this does form a right triangle however 50 is the hypotenuse as the ladder is propped up against the wall. 30 would then be the height of the triangle and the base is unknown so...
![50^{2} = 30^{2} + x^{2}](https://tex.z-dn.net/?f=50%5E%7B2%7D%20%3D%2030%5E%7B2%7D%20%2B%20x%5E%7B2%7D)
50 squared minus thirty squared gives 1600 so:
![1600 = x^{2}](https://tex.z-dn.net/?f=1600%20%3D%20x%5E%7B2%7D)
Therefore x is the square root of 1600 which is 40
Answer: b, d
Step-by-step explanation:
Corresponding angles are formed when two parallel straight lines are cut by a transversal
![\angle b=62^{\circ}](https://tex.z-dn.net/?f=%5Cangle%20b%3D62%5E%7B%5Ccirc%7D)
In the figure,
are alternate angle
![\therefore \angle d=62^{\circ}](https://tex.z-dn.net/?f=%5Ctherefore%20%5Cangle%20d%3D62%5E%7B%5Ccirc%7D)
<span>y=7-2x
</span><span>y = -2x + 7 so now we have slope m = -2, b = 7
pass point </span><span>(-5/2,y) then
y = mx + b
y =-2(-5/2) + 7
y = 5 + 7
y = 12
answer : </span><span>ordered pair (-5/2,12)</span>