Answer:
700$ at 2% 800$ at 4%
Step-by-step explanation:
x+y=1500 This is because the total is 1500 dollars into 2 different accounts, x and y.
0.02x+0.04y=44 This is because it says 2 percent interest in one account and 4 percent in the other, and the totals add up to 44 dollars.
Now use elimination method.
x+y=1500(-0.02)=-0.02x+-0.02y=-30
0.02x+0.04y=44
Now you end up with 0.02y=14, solve for y and you get 700. That's the value of y which now you can then subtract from 1500 and get 800 which is the value of x.
Answer:
The function rule can be written as: f(x) = 2x-3
So, when we input 3, we replace all of the x's for 3's and have: f(3) = 2(3)-3.
This simplifies to be: f(3) = 3, meaning that 3 is the output.
Hope this helps!
Answer:
a. $4,415.25
b. $4,376.70
c. 2.27986 years
Step-by-step explanation:
a.
A = 4,000 (1 + 0.05/2)^(2 x 2)
= $4,415.25
b.
A = 4,000 x e^(0.045 x 2)
= $4,376.70
c. $100 more than option 2 = 4,376.70 + 100
= $4,476.70
t (in years) = ln(4,476.70/4,000) / ln(1 + 0.05/2)
= 2.27986 years
Answer:
112 units²
Notes to know:
The lateral area and surface area of something are similar, but not the same
-> Surface area is the area of all the sides added up
-> Lateral area is the surface area of all the sides <em>not</em> including the top and bottom
Step-by-step explanation:
Since this is a rectangular prism, it will have 6 sides in total. That means the lateral area will be a total of four sides.
The sides we need to find for lateral area:
1: 2 * 4 = 8
2: 2 * 4 = 8
3: 12 * 4 = 48
4: 12 * 4 = 48
Add them together:
8 + 8 + 48 + 48 = 112 units²
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
