Answer:
96
Step-by-step explanation:
To get 5 digit numbers using the digits 0,1,2,3,4 exactly once = 4*4*3*2*1 = 96.
Step 1:
1st digit can be 1, 2,3,4 ( it can't be 0) so there are 4 choices.
Step 2:
2nd digit = 4 choices.
Step 3:
3rd digit = 3 choices
Step 4:
4th digit = 2 choices
Step 5:
5th digit = 1 choice .
So the number of different 5 digit number is 4*4*3*2*1 = 96
No.i will not prove that.
Answer: $943.11
<u>Step-by-step explanation:</u>
Compound Interest formula is:
where
- A is the Accrued amount (total earned)
- P is the Principal (amount initially invested)
- r is the interest Rate (convert percent to a decimal)
- t is the Time (number of years)
It is given that; P = 800 r = 4.2% (0.042) t = 4
A = 800(1 + 0.042)⁴
A = 800(1.042)⁴
A = 943.106 → A = 943.11 (rounded to the nearest penny)
Sarah invested $800 for four years at an interest rate of 4.2% and accrued $943.11
Answer:

Step-by-step explanation:
we know that
To find out the probability of hitting a ball into the circular hole, divide the area of the hole by the area of the playing area
Let
x ----> the area of the hole
y ----> the area of the playing game
so

we have

<em>Find the area of the hole</em>
The area of the circle (hole) is equal to

we have
----> the radius is half the diameter
assume

substitute


<em>Find the probability</em>

we have


substitute


Convert to percentage

Round to the nearest tenth
