Will make brainiest if answered correctly<br><br><br> write the value of the expression<br> 2^3/2^3

Giving brainliest to whoever can accurately solve these questions first.

lesantik [10]

1. The amount of money in the account after 10 years is 42,317.96 dollars.

2. it will take Pamela and Kevin 7.5 hours to complete the task together

<h3>How to find compound interest?</h3>

Question(1)

Using compound interest formula,

$A = p(1 + \frac{r}{n} )^{nt}$

where

p = principal
r = rate
n = number of times
t = time

Therefore,

p = 30,000

r = 3.5% = 0.035

t = 10

n = 1

Therefore,

$A = 30000(1+\frac{0.035}{1} )^{1X10}$

A = $42,317.96

Question 2:

Pamela takes 12 hours to complete a task.

Kelvin takes 20 hours to complete same task.

The time it will take both of them can be computed as follows:

using rate principle,

let

x = time it will take both of them to do the work together.

$\frac{1}{x}=\frac{1}{12} + \frac{1}{20}$

$\frac{1}{x}=\frac{20+12}{240}$

$\frac{1}{x}=\frac{32}{240}$

cross multiply

240 = 32x

x = 240 / 32

x = 7.5 hours

Therefore, it will take Pamela and Kevin 7.5 hours to complete the task together

learn more on compound interest and rate here: brainly.com/question/18104604

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3 0

2 years ago

Help me solve this problem please

just olya [345]

Answer:

×<-1

Step-by-step explanation:

if I'm not wrong you are sloving for x right?

6 0

4 years ago

Read 2 more answers

5. (6 marks) Use mathematical induction to prove that for each integer n ≥ 4, 5^n ≥ 2^2n+1 + 100.

Tju [1.3M]

Step-by-step explanation:

We will prove by mathematical induction that, for every natural $n\geq 4$ ,

$5^n\geq 2^{2n+1}+100$

We will prove our base case, when n=4, to be true.

Base case:

$5^4=625\geq 612=2^{2*4+1}+100$

Inductive hypothesis:

Given a natural $n\geq 4$ ,

$5^n\geq 2^{2n+1}+100$

Now, we will assume the induction hypothesis and then use this assumption, involving n, to prove the statement for n + 1.

Inductive step:

$2^{2(n+1)+1}+100=2^{2n+1+2}+100=\\=4*2^{2n+1}+100\leq 4(2^{2n+1}+100)\leq 4*5^n$

With this we have proved our statement to be true for n+1.

In conlusion, for every natural $n\geq4$ .

$5^n\geq 2^{2n+1}+100$

7 0

3 years ago

Samantha plays a game in which she rolls two standard dice and finds the sum of the dots facing up. Which shows all the possible

Agata [3.3K]

Answer:

Kindly check attached picture

Step-by-step explanation:

A standard dice has 6 faces numbered {1,2,3,4,5,6}

For 2 dice, n = 2 ; sample space = n² = 6² = 36

The sum of the 2 upward facing dots:

{(1,1) (1,2) (1,3) (1,4) (1,5) (1,6);

(2,1 ) (2,2),(2,3),(2,4),(2,5),(2,6) ;

(3,1)(3,2)(3,3)(3,4)(3,5)(3,6);

(4,1)(4,2)(4,3) (4,4)(4,5)(4,6);

(5,1)(5,2)(5,3)(5,4)(5,5)(5,6);

(6,1)(6,2)(6,3)(6,4)(6,5)(6,6)}

8 0

3 years ago

Show and explain how you found the answer to this problem. Carla has 152 pictures to put in a scrapbook. If she can fit 12 pictu

jekas [21]

Explanation:

You make the equation. If she can put 12 on each page then you would multiply 12 by p (pages) and have it equal to 152

152=12p

To solve this, you would divide 12 from both sides

152/12=12.666

Therefore, 12.6=pages but since there aren’t 12.6 pages and you need to keep it a whole number you would round up to 13 because if you kept it at twelve pages you would have those pictures left over.

7 0

3 years ago

Read 2 more answers

Will make brainiest if answered correctly write the value of the expression 2^3/2^3