Answer: a) 8.779 years
b) 8.664 years
<u>Step-by-step explanation:</u>
a)
- A: accumulated amount (balance)
- P: principal amount (original/initial investment)
- r: interest rate (convert to a decimal)
- n: number of times compounded per year
- t: number of years
Given: A = 1800, P = 900, r = 8% = 0.08, n = 3, t = unknown
b)
Answer:
24 kilometers.
Step-by-step explanation:
The shortest path between two points is a straight segment that connects the two points.
Refer to the diagram attached. The 6-km segment and the 8-km segment are normal to each other. Together with the segment that joins the library and the house, the three segments now form a right triangle.
- The two shorter segments are the two legs, and
- The longer segment that joins the library and the house is the hypotenuse.
The length of the hypotenuse can be found with the Pythagorean Theorem.
.
The length of the round-trip will equal to the sum of the length of the three segments: 
.
Answer:
The third expression: (2x)^3
Step-by-step explanation:
Plug in 3 for x in each expression
2x^3
2(3)^3
Use PEMDAS
2 (3 × 3 × 3)
2 (9 × 3)
2 (27)
54
2x^3 + 5
(The last expression told us 2x^3 = 54 so feel free to use this information to make life easier)
54 + 5
59
(2x)^3
(2 × 3)^3
Use PEMDAS
6^3
6 × 6 × 6
36 × 6
216
(x - 1)^3
(3 - 1)^3
Use PEMDAS
2^3
2 × 2 × 2
4 × 2
8
216 is the greatest value so the third expression is the answer
Answer:
<u>Rs. 72</u>
Step-by-step explanation:
We have 2 values here,
- Perimeter of the rectangle = 360 cm
- Breadth of the rectangle (b) = 60 cm.
Firstly, we must find the length of the rectangle (l).
So, according to the formula,
Perimeter = 2 (b + l)
360 = 2 (60 + l)
360 = 120 + 2l
360 - 120 = 2l
240 = 2l
120 cm = l
Now, we need to find the area of the rectangular wall & then convert it from cm² to m² as the cost of painting is given in m².
So,
Area = lb
Area = 120 × 60
Area = 7,200 cm²
Let's convert it to m² now,
7200/1000
= 7.2 m²
Given, cost of painting per m² = Rs. 10
So, the cost of painting the wall is,
10 × 7.2
= <u>Rs. 72</u>
<u>________________________________</u>
Hope it helps!
Answer:
The answer to your question is $1.29
Step-by-step explanation:
Data
Total amount of cupcakes = 50
Total amount of sugar = 3 1/2 cups = 3.5 cups
Cost of 5-pound bag = $3.69
2 cups = 1 pound
Total cost = ?
Process
1.- Calculate the amount of pounds needed
2 cups ------------------ 1 pound
3.5 cups --------------- x
x = (3.5 x 1) / 2
x = 3.5 / 2
x = 1.75 pounds
2.- Calculate the price of 1.75 pounds
5 pounds -------------- $3.69
1.75 pounds ---------- x
x = (1.75 x 3.69)/5
x = 6.46/5
x = $1.29
3.- Conclusion
The cost of sugar to prepare 50 cupcakes is $1.29
