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3 years ago

Approximate the following numbers to the nearest whole number

Mathematics

1 answer:

NeX [460]3 years ago

6 0

Answer:

What are the options?

Step-by-step explanation:

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At smith lake boat rentals it costs $25 per hour to rent a boat plus one time charge for cleaning. The bengal family rented a bo

vesna_86 [32]

Answer: the Jones family paid $164

Step-by-step explanation:

Let x represent the one time charge that smith lake boat rentals charge for cleaning.

The bengal family rented a boat from 11 am- 6:30pm and paid $226.50. This means that the number of hours for which they rented the boat is

11 - 6:30/= 7.5 hours

Therefore,

25 × 7.5 + x = 226.5

187.5 + x = 226.5

x = 226.5 - 187.5

x = $39

If the jones family rented a boat from 8am-1pm, the number of hours would be 5 hours.

The amount that they paid is

39 + 5 × 25 = 39 + 125

= $164

3 0

2 years ago

Determine whether the following series converge or diverge

Mars2501 [29]

An alternating series $\sum\limits_n(-1)^na_n$ converges if $|(-1)^na_n|=|a_n|$ is monotonic and $a_n\to0$ as $n\to\infty$ . Here $a_n=\dfrac1{\ln(n+1)}$ .

Let $f(x)=\ln(x+1)$ . Then $f'(x)=\dfrac1{x+1}$ , which is positive for all $x>-1$ , so $\ln(x+1)$ is monotonically increasing for $x>-1$ . This would mean $\dfrac1{\ln(x+1)}$ must be a monotonically decreasing sequence over the same interval, and so must $a_n$ .

Because $a_n$ is monotonically increasing, but will still always be positive, it follows that $a_n\to0$ as $n\to\infty$ .

So, $\sum\limits_n(-1)^na_n$ converges.

5 0

3 years ago

Find the coordinates of the turning point for the equation of the graph below y=x^2+14x+45

USPshnik [31]

Answer:

(- 7, - 4 )

Step-by-step explanation:

Given a quadratic in standard form

y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the turning point is

x = - $\frac{b}{2a}$

y = x² + 14x + 45 ← is in standard form

with a = 1, b = 14 , then

x = - $\frac{14}{2}$ = - 7

Substitute x = - 7 into the equation and evaluate for y

y = (- 7)² + 14(- 7) + 45 = 49 - 98 + 45 = - 4

coordinates of turning point = (- 7, - 4 )

4 0

2 years ago

-2/3x + 2.8 = -8.2 what is x

JulsSmile [24]

-2/3x + 2.8 = -8.2 what is x
Add 2.8 on both side of the equation
-2/3x=-11
Divide both side by -2/3
x=33/2

Check: -2/3(33/2)+ 2.8 = -8.2
-11+2.8=-8.2
-8.2=-8.2

Answer is x=33/2

6 0

3 years ago

Andries get grandfather get offered to give him a gift of 50% of the amount of money he saved in one year. And Ray saved $120. H

sertanlavr [38]

Answer:

$60

Step-by-step explanation:

The savings of Andries is $120 and his grandfather offered that he would give 50% of the amount he saved.

50% is actually just half of a given amount. So the short way to do this is just half the saving of Andries.

$\dfrac{\$120}{2} = \$60$