Answer:
Complete a bank reconciliation
Step-by-step explanation:
A bank reconciliation is the process where the financial records of the bank is compared with the firm's financial record. If an employee has been stealing funds from the company, there would be a discrepancy between the figures provided by the record.
In a bid to know the reason for the discrepancy, the theft would be detected
Get the derivative:
<em>y</em> = (9 - <em>x</em>²)¹ʹ³
d<em>y</em>/d<em>x</em> = 1/3 (9 - <em>x</em>²)⁻²ʹ³ d/d<em>x</em> [9 - <em>x</em>²]
d<em>y</em>/d<em>x</em> = 1/3 (9 - <em>x</em>²)⁻²ʹ³ (-2<em>x</em>)
d<em>y</em>/d<em>x</em> = -2/3 <em>x</em> (9 - <em>x</em>²)⁻²ʹ³
Evaluate it at <em>x</em> = 1 :
d<em>y</em>/d<em>x</em> (1) = -2/3 • 8⁻²ʹ³
Since 8 = 2³, we have
8⁻²ʹ³ = 1 / 8²ʹ³ = 1 / (2³)²ʹ³ = 1 / 2² = 1/4
Then the tangent line has equation
<em>y</em> - 2 = 1/4 (<em>x</em> - 1) → <em>y</em> = 1/4 <em>x</em> + 7/4
Answer:
900
Step-by-step explanation:
3-digit natural numbers are whole numbers that range from 100 to 999 (3-digit because there are three numbers)
- 999 whole numbers from 1 to 999 (counting from 1, 2, 3, 4...897, 898, 899)
- 1 to 99 are 2-digit numbers, so you do not count them
there are 900 3-digit natural numbers!
comment or message me if you are still confused!
Answer:
3. PR=51
4. FE=28
Step-by-step explanation:
3. since the two triangles are similar, set up a proportion:
x+8/3x-9=24/28
*cross multiply*:
28(x+8)=24(3x-9)
28x+224=72x-216
44x=440
x=20
to find PR:
PR=3x-9
PR=3(20)-9
PR=51
4. same here:
39/4x+2=42/5x-2
39(5x-2)=42(4x+2)
195x-78=168x+84
27x=162
x=6
to find FE:
FE=5x-2
FE=5(6)-2
FE=28
