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Anastasy [175]
3 years ago
14

872x3 estimated problem

Mathematics
2 answers:
denis23 [38]3 years ago
4 0
872 times 3=2616, just try to use a Calculator if you can
dlinn [17]3 years ago
4 0
Since this is an estimated problem you need to estimate 872 to 870 and since 3 cant be estimated except to a 0 im going to keep 3 as 3 so 870x3=2610
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Use algebra to simplify the expression before evaluating the limit. In particular, factor the highest power of n from the numera
bija089 [108]

Answer:

a) {2/n²-7/n+9}/{8+2/n-6/n²}

b) 9/8

c) The sequence converges

Step-by-step explanation:

Given the limit of the function

limn→[infinity]2−7n+9n²/8n²+2n−6

To simplify the function given, we will have to factor out the highest power of n which is n² from the numerator and the denominator. The function will then become;

2−7n+9n²/8n²+2n−6

= n²{2/n²-7/n+9}/n²{8+2/n-6/n²}

The n² at the numerator will then cancel out the n² at the denominator to have resulting simplified equation as;

{2/n²-7/n+9}/{8+2/n-6/n²}

Evaluating the limit of the resulting equation will give;

limn→[infinity] {2/n²-7/n+9}/{8+2/n-6/n²}

Note that limn→[infinity] a/n = 0 where a is any constant.

Therefore;

limn→[infinity] {2/n²-7/n+9}/{8+2/n-6/n²}

= (0-0+9)/(8+0-0)

= 9/8

Since the limit of the sequence gives a finite value which is 9/8, thus the sequence in question is a convergent sequence.

The limit of a sequence only diverges if the limit of such sequence is an infinite value.

5 0
3 years ago
Using the standard 28/36 guidelines, what is the maximum mortgage payment allowed for someone with an annual salary of $60,750?
Anna11 [10]

\frac{28}{36} rule says that 28 % of your total income should be spent on Housing finances and 36 % of your gross total income should be spend for Debts.

Annual Salary = $ 60,750

Maximum mortgage payment=28% of $ 60,750

=\frac{28}{100} \times 60750=\frac{1701,00}{100}\\\\ =1701

Maximum ,mortgage payment allowed for someone with an annual salary of $60,750= $ 1,701.00→→→Option (C)


7 0
3 years ago
Read 2 more answers
Help please please help
Artemon [7]

Answer:

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Step-by-step explanation:

7 0
3 years ago
What is the value of x?
Aleonysh [2.5K]

Answer:

x = 6

Step-by-step explanation:

We have to make the bottom eqivilent to the top.

10 + 30 = 40

5 x 6 = 30

10 + 30 = 40

8 0
3 years ago
Read 2 more answers
Colin invests £2350 into a savings account. The bank gives 4.2% compound
marin [14]

Answer:

Answer:

£3692

Step-by-step explanation:

A = p(1 + r/n)^nt

Where,

A = future value

P = principal = £2350

r = interest rate = 4.2% = 0.042

n = number of periods = 1(annual)

t = time = 4 years

A = p(1 + r/n)^nt

= 2350(1 + 0.042/1)^1*4

= 2350(1 + 0.042)^4

= 2350(1.042)^4

= 2350(1.5789)

= 2770.42

A = £2770.42

Total years = 10

Remaining years = 10 – 4

= 6 years

Remaining 6 years

P = £2770.42

r = 4.9% = 0.049

n = 1

t = 6

A = p(1 + r/n)^nt

= 2770.42(1 + 0.049/1)^1*6

= 2770.42(1 + 0.049)^6

= 2770.42(1.049)^6

= 2770.42(1.3325)

= 3691.59

A = £3691.59

Approximately £3692

Thank you!

5 0
3 years ago
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