Answer:
y = 14
Step-by-step explanation:
Plug in 4 as x into the equation:
y = 2 + 3x
y = 2 + 3(4)
Simplify:
y = 2 + 12
y = 14
So, when x = 4, y = 14.
Answer:
608 ft²
Step-by-step explanation:
<u>1) Find the area of the bases</u>
where b is the base length and h is the height
Plug in b and h
Multiply the answer by 2 (because there are 2 bases)
A=96
Therefore, the area of the two bases is 96 ft².
<u>2) Find the area of the two sides facing up</u>
where l is the length and w is the width
Plug in l and w
Multiply the answer by 2 (because there are 2 sides)
A=320
Therefore, the area of these two sides is 320 ft².
<u>3) Find the area of the bottom side</u>
where l is the length and w is the width
Plug in l and w
Therefore, the area of this side is 192 ft².
<u>4) Add all the areas together</u>
96 ft² + 320 ft² + 192 ft²
= 608 ft²
Therefore, the surface area of the triangular prism is 608 ft².
I hope this helps!
Answer:
Explanation:
<u>1. Calculate the monthly interest owed during year 1</u>
<u />
- <em>Interest for first year: 8%</em>
- The monthly rate is the yearly rate divided by 12: 8% / 12 = 0.08/12
- The monthly interest owed is the monthly rate times the balance: (0.08/12)×$1,800 = $12.00
<u>2. Calculate the monthly interest owed during year 2</u>
<u />
- <em>Interest for second year: 23%</em>
- The montly rate is the yearly rate divided by 12: 23% / 12 = 0.23/12
- The monthly interest owed is the monthly rate times the balance: (0.23/12)×$1,800 = $34.50
<u>3. Calculate the difference</u>
- Difference in the monthly interest owed during year 1 and year 2 = $34.50 - $12.00 = $22.50
Hence, the answer is the option c) $22.50
(4*2)-(2*-3)+(5*5)= 8-6+25= 27