Answer:
D. 3
Step-by-step explanation:
To find the slope of a line, we can use the equation y2-y1/x2-x1=m or slope.
All we can do now is insert the values of the points into the equation.
-8-7/-4-1=m
-15/-5=m
3=m
Thus, the slope is 3.
Hope this helps!
Answer: p=-7
Step-by-step explanation:
To solve for p, you want to isolate the variable, get p alone. You would use different algebraic properties to do so.
30+6p=7p+42-5
30+6p=7p+37
-7=p
p=-7
Answer:
Step-by-step explanation:
The simple interest on a certain sum for 5years at 8% per annum is Rs200 less than the simple interest on the same sum for 3years and 4months at 18% per annum.Find the sum
The formula for Simple Interest = PRT
From above question, we have to find the Principal
The simple interest on a certain sum for 5years at 8% per annum is Rs200
Hence,
R = 8%
T = 5 years
Rs 200 = P × 8% × 5
P = 200/8% × 5
P = Rs500
The principal = Rs 500
The simple interest on the same sum for 3years and 4months at 18% per annum.
Simple Interest = PRT
R = 18%
T = 3 years and 4 months
Converted to years
T = 3 + (4 months/12 months)
T = 3.33 years
Hence,
Simple Interest = Rs 500 × 18% × 3.33 years
= Rs 299.7
Answer:
-12.8%
Step-by-step explanation:
To calculate the percent decrease, we:
- Find the difference between the new value and the original
- Divide the number by the original
- Multiply by 100 and the % symbol.
The population of the town originally had 25,000. 3,200 people moved away. This means that the new population is 21,800.
- 21,800-25,000=-3,200
- -3,200/25,000=-0.128
- -0.128(100)=-12.8%
The towns population decreased by 12.8%.
Answer:
<em>The total change in his account is represented by the integer -5</em>
Step-by-step explanation:
<u>Operations With Integers</u>
We need to perform addition and subtraction to complete the answer to this problem.
Derrick first withdrew $17 from his account. Since the money is coming out from the account, it's considered as negative. Thus this operation is recorded as -$17.
The next day he deposited $12, which is considered as positive. This operation is considered as $12 or +$12.
The net operation or total change in the account is: -$17 + $12.
Subtracting and simplifying: -$17 + $12 = -$5
The total change in his account is represented by the integer -5