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sattari [20]
2 years ago
6

What is the greatest integer $x$ for which $\frac79 > \frac{x}{13}$?

Mathematics
1 answer:
tensa zangetsu [6.8K]2 years ago
8 0

Answer:

3

Step-by-step explanation:

Some function [] rounds DOWN a number to the nearest integer. For example [1.5]=1, [2]=2, [-1.5]=-2, ...

Thus [-1.6]+[3.4]+[2.7]=-2+3+2=3.

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Suppose an individual makes an initial investment of $3,000 in an account that earns 6.6%, compounded monthly, and makes additio
makkiz [27]

Answer:

  b) $17,400

  d) $33,517.20

Step-by-step explanation:

a) $28,482.19 . . . . future value of all deposits

__

b) The initial deposit was $3000, and there were 144 deposits of $100 each, for a total of ...

  $3000 +144×100 = $17,400 . . . . total deposited

__

c) $558.62

__

d) 60 monthly withdrawals were made in the amount $558.62, for a total of ...

  60×$558.62 = $33,517.20 . . . . total withdrawn

_____

<em>Additional information about (a) and (c)</em>

(a) The future value of the initial deposit is the deposit multiplied by the interest multiplier over the period.

  A = P(1 +r/n)^(nt) = 3000(1 +.066/12)^(12·12) = 3000·1.0055^144 ≈ 6609.065

The future value of $100 deposits each month is the sum of the series of 144 terms with common ratio 1.0055 and initial value 100.

  A = 100(1.055^144 -1)/0.0055 ≈ 21,873.123

So, the total future value is ...

  $6609.065 +21873.123 ≈ $28482.188 ≈ $28,482.19

__

(c) The withdrawal amount can be found using the same formula used for loan payments:

  A = P(r/n)/(1 -(1 +r/n)^(-nt)) = $28482.19(.0055)/(1 -1.0055^-60) ≈ $558.62

7 0
3 years ago
You measure a piece of rope and find its length to be 12m. Find the percent error of this measurement. Round to the nearest hund
guapka [62]
I want to say about 15 %
7 0
3 years ago
The number of bagels sold daily for two bakeries is shown in the table:
ivann1987 [24]

Going by the data given, the best center of distribution to use in terms of mean and median is D) Mean for Bakery A because the data is symmetric; median for Bakery B because the data is not symmetric.

<h3>What centers of distribution should be used?</h3>

The mean should be used for data sets that are symmetric while the median should be used for data that is not symmetric.

The data is said to be symmetric when the mean and median are equal or very close.

Bakery A mean:

= (45 + 52 + 51  48 + 61 + 34 + 55  46) / 8

= 49

Bakery A median is 49.5

Bakery B mean:

= (48  42 + 25  45 + 57 + 10 + 43 + 46 ) / 8

= 39.5

Bakery B median is 44.

This shows that Bakery A data is symmetric so the best center of distribution to use is mean.

Bakery B is not symmetric so the center of distribution to use is median.

Find out more on symmetric data at brainly.com/question/7130507

#SPJ1

8 0
2 years ago
Find volume of a cone
never [62]

Answer:

volume = 261.79938779915 m3

Step-by-step explanation:

And rounded to nearest number is 261.8 mi3 or answer b.

7 0
3 years ago
The base of a 13 foot ladder is 5 feet away from the wall. How far up the wall does the ladder reach? A)8 feet B)10 feet C)12 fe
Lisa [10]

You are solving for the height. Use the formula:

c² - b² = a²      in which c = hypotenuse

(13)² - (5)² = a²

Simplify

169 - 25 = a²

144 = a²

Isolate the a. Root both sides

√144 = √a²

a = √144

a = √(12 x 12)

a = 12

C) 12 feet is your answer

~

3 0
3 years ago
Read 2 more answers
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