Answer:
the principal and the amount is 1,800 and 13,800 respectively
Step-by-step explanation:
The computation of the simple interest and amount for the end of the 3rd year is shown below:
Simple interest is
= Principal × rate of interest × time period
= 12,000 × 5% × 3 years
= 1,800
Now the amount is
= 12,000 + 1,800
= 13,800
hence, the principal and the amount is 1,800 and 13,800 respectively
The second leftover expression is not o(a+b). It is 6(a + b). I have attached the correct question to depict that.
Answer:
The equivalent expressions are;
8a + 2 and 6a + 6b
Step-by-step explanation:
The two leftover expressions are given as;
2(4x + 1) and 6(a + b)
In algebra, equivalent expressions are simply those expressions which when simplified, give the same resulting expression as the initial one.
Thus simply means expanding or collecting like times to make it clearer.
Now, in our question, like terms have already been collected. This means that to find an equivalent expression, we will just expand the bracket.
Thus;
2(4x + 1) will be expanded by using the 2 outside the bracket to multiply the terms inside the bracket. This gives;
8x + 2
Similarly,
6(a + b) will be expanded by using the 2 outside the bracket to multiply the terms inside the bracket. This gives;
6a + 6b
Thus;
The equivalent expressions are;
8a + 2 and 6a + 6b
Answer:
- Perimeter of the original Rectangle is
2(4.5+4.3)=2×8.8= <u>17.6</u><u> </u><u>mm</u>
- Side length of the enlarged rectangle is
- Perimeter of the enlarged rectangle
2(24.3+23.22)= 2×47.52= <u>95.04 mm</u>
40 miles an hour
60 [minutes] * 60 [seconds]= 3600
22.5[seconds for 1/4 of a mile]* 4[ one mile]= 90 [seconds per mile]
3600/90=40 [miles an hour]
Answer:
3/4
Step-by-step explanation:
To find the slope using a line on a graph, calculate the difference between two points. To do so, use the formula y2 - y1/x2 - x1.
Two points on this line are (0, -1) and (4, 2). This means:
y2 = 2
y1 = -1
x2 = 4
x1 = 0
Plugging those values in, we get:
2 - (-1)/4 - 0
Evaluating 2 - (-1) and 4 - 0, we get 3/4. Therefore, the slope is 3/4.