Answer:
She needs to invest $13,636.36 right now
Step-by-step explanation:
This is a simple interest problem.
The simple interest formula is given by:
In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
After t years, the total amount of money is:
In this question:
In 15 years, so 
She wants to have $30,000, so 
8% interest, so 
We have to find P.
Replacing:
She needs to invest $13,636.36 right now
Answer:
Hi ,
Cube of a number :
_______________
For a given number x we define cube
of x = x × x × x , denoted by x^3.
A given Natural number is a perfect
Cube if it can be expressed as the
product of triplets of equal factors.
Now ,
Write given number as product of
prime .
8788 = 2 × 4394
= 2 × 2 × 2197
= 2 × 2 × 13 × 169
= 2 × 2 × 13 × 13 × 13
= 2 × 2 × ( 13 × 13 × 13 )
Here we have only triplet of equal
factors i.e 13
To make 8788 into perfect Cube we
have multiply with 2.
Now ,
2 × 8788 = ( 2 × 2 × 2 ) × ( 13 × 13 × 13 )
17576 = ( 2 × 13 )^3 = ( 26 )^3 perfect
Cube
I hope this will useful to you.
Answer:
Step-by-step explanation:
A={26,30,32,44,48}
B={22,26,34}
A∩B=26
number of elements=1
elements in ξ are {22,24,26,28,30,32,34,36,38,40,42,44,46,48}
number of elements in ξ=14
P(A∩B)=1/14
I can't draw venn diagram but i give hint
A={30,32,44,48}+{26}
B={22,34}+{26}
A∩B={26}
A rational number can be represented in a ratio of a/b.
Therefore, 5.3 would be a rational number in between 5.2 and 5.5, as it can be represented as 53/10.
Hope that helps!
Answer:
b. 45 N
Step-by-step explanation:
The sum of the forces exerted by the two miners = 25 + 20
= 45 N
Since after applying a force of 45 N by the two miners the cart remained stationary, it implies that a resistance force of at least 45 N acts against their push. Thus, the force exerted by the road could be equal to 45 N or greater than 45 N.
Probably, if the sum of the forces applied is 46 N, the cart would move. Which depends on the value of resistance force applied by the road. Thus, the appropriate answer from the given option is B.
Since the force applied on the cart equals the resistance force exerted by the road, the cart would not move.
