Answer:
Step-by-step explanation:
Step one: because fractions are out of 100% you do
5%+100%= 105
105 divide by 100 which is equal to 1.05
Step two: it’s says two year so what you do is times the amount by the number you got
75x
=82.68 answer
It would be $187.50 because if you set up a proportion -----2000/75 =5000/x
The proportion shows 5000 times 75
(375000)then divide 375000 by 2000
Answer:
Step-by-step explanation:
<u>Sequential Operations
</u>
Mathematical operations can be done in sequence or in batches if they are of the same type. For example, we can add many terms in one single operation, but we cannot add and multiply in one go, because there are priorities when dealing with products and sums. Same happens with powers.
In our problem we are required to perform a sequence of operations like follows
Add s to t:
Add the result to r
Raise what you have to the 7th power
This is the final result
Answer:
The series is convergent answer ⇒ (a)
Step-by-step explanation:
* The series is -8/5 + 32/25 + -128/125 + ........
- It is a geometric series with:
- first term a = -8/5 and common ratio r = 32/25 ÷ -8/5 = -4/5
* The difference between the convergent and divergent
in the geometric series is :
- If the geometric series is given by sum = a + a r + a r² + a r³ + ...
* Where a is the first term and r is the common ratio
* If |r| < 1 then the following geometric series converges to a / (1 - r).
- Where a/1 - r is the sum to infinity
* The proof is:
∵ S = a(1 - r^n)/(1 - r) ⇒ when IrI < 1 and n very large number
∴ r^n approach to zero
∴ S = a(1 - 0)/(1 - r) = a/(1 - r)
∴ S∞ = a/1 - r
* If |r| ≥ 1 then the above geometric series diverges
∵ r = -4/5
∴ IrI = 4/5
∴ IrI < 1
∴ The series is convergent
Answer: The second container.
Step-by-step explanation: The second container because its a 3 dimensional figure. The first container only contains a radius and height. Thats only two measurments. The second container contains three measurments. Width, legnth, and height.
