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Dmitriy789 [7]
3 years ago
6

1. $20,000 placed in a saving account at 4% for 5yrs

Mathematics
1 answer:
Alecsey [184]3 years ago
5 0

Answer:

you will earn 4000 after 5 yr.

Step-by-step explanation:

to find out you need to multiply 20000 by .04 to get 800 per year then multiply that by 5 which gives you 4000

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1. Calculate the volume of the rectangular prism. Answers are in cubic
kolezko [41]
30 is the answer i think
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3 years ago
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To the nearest hundredth, what is the distance between point (-6, -1) and point (4, 3)?
vagabundo [1.1K]
Use the distance formula and simply substitute in the corresponding orders pairs.

Distance = √(x2 - x1)² + (y2 - y1)²

Distance = √(4 - (-6))² + (3 - (-1))²

Distance = √(4 + 6)² + (3 + 1)²

Distance = √(10)² + (4)²

Distance = √100 + 16

Distance = √116

Distance = 10.7703296143

Round to the nearest hundredth!

Distance ≈ 10.77
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3 years ago
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Five times the sum of a number and 27 is greater than or equal to six times the sum of that
AleksAgata [21]

The complete version of question:

<em>Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26. What is the solution of this problem.</em>

Answer:

5\left(x+27\right)\ge \:6\left(x+26\right)\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:-21\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:-21]\end{bmatrix}

Step-by-step explanation:

As the description of the statement is:

'<em>Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26'.</em>

<em />

As

  • <em>Five times the sum of a number and 27  </em>is written as: 5(x + 27)
  • <em>greater than or equal </em>is written as:  \geq
  • <em>six times the sum of that number and 26'  </em>is written as: 6(x + 26)

so lets combine the whole statement:

<em />5\left(x\:+\:27\right)\ge \:6\left(x\:+\:26\right)<em />

solving

<em />5\left(x\:+\:27\right)\ge \:6\left(x\:+\:26\right)<em />

<em />5x+135\ge \:6x+156<em />

<em />5x+135-135\ge \:6x+156-135<em />

<em />5x\ge \:6x+21<em />

<em />5x-6x\ge \:6x+21-6x<em />

<em />-x\ge \:21<em />

<em />\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}<em />

<em />\left(-x\right)\left(-1\right)\le \:21\left(-1\right)<em />

<em />x\le \:-21<em />

Therefore,

5\left(x+27\right)\ge \:6\left(x+26\right)\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:-21\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:-21]\end{bmatrix}

6 0
3 years ago
Omar scored an 82% on his first test of the quarter. Will a score of 38 our of 50 on the second test helo or hurt his grade? Exp
ratelena [41]
He got a 76% on his last test, which was less than before. This means his average grade will decrease.
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3 years ago
What is the volume of the sphere shown below with a radius of 9
Sati [7]

Answer:

972π  or 3052.08 if π=3.14(remember to label the answer with your units)

Step-by-step explanation:

The formula for the volume of a sphere is \frac{4}{3}\\πr^{3}. So, just plug the radius into the formula. r^{3}<em> </em>in this case is 9^{3} which is 729. For, \frac{4}{3}×729, the 3 and 729 cancel out to create 4×243 which is 972. Just add π to this and you get 972π. If π is 3.14 just multiple 972 and 3.14 to get 3052.08.

3 0
2 years ago
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