2x times 6 help please i need it (saying with bored voice)

How much simple interest is earned on $4,000 in 3 1/2 years at an interest rate of 5.2%?

AveGali [126]

Answer:

$728

Step-by-step explanation:

The formula for simple interest is I = PRT, where I = interest earned/paid, P = principal amount deposited or borrowed, R = rate of interest as a decimal, and T = time in years.

I = PRT

I = (4000)(0.052)(3.5)

I = 728

4 0

2 years ago

Read 2 more answers

AB, CD and EF are straight lines. AB is parallel to CD. Work out the size of angle y

mylen [45]

Answer: 28

Step-by-step explanation:

Simplifying

2x + 16 = 3x + -12

Reorder the terms:

16 + 2x = 3x + -12

Reorder the terms:

16 + 2x = -12 + 3x

Solving

16 + 2x = -12 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

16 + 2x + -3x = -12 + 3x + -3x

Combine like terms: 2x + -3x = -1x

16 + -1x = -12 + 3x + -3x

Combine like terms: 3x + -3x = 0

16 + -1x = -12 + 0

16 + -1x = -12

Add '-16' to each side of the equation.

16 + -16 + -1x = -12 + -16

Combine like terms: 16 + -16 = 0

0 + -1x = -12 + -16

-1x = -12 + -16

Combine like terms: -12 + -16 = -28

-1x = -28

Divide each side by '-1'.

x = 28

Simplifying

x = 28

5 0

2 years ago

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NarStor, a computer disk drive manufacturer, claims that the median time until failure for their hard drives is more than 14,400

Ne4ueva [31]

Answer:

The test statistics is $t = -1.727$

Step-by-step explanation:

From the question we are told that

The data given is

330 620 1870 2410 4620 6396 7822 81028309 12882 14419 16092 18384 20916 23812 25814

The population mean is $\mu = 14400$

The sample size is n = 16

The null hypothesis is $\mu \le 14400$

The alternative hypothesis is $H_a : \mu > 14400$

The sample mean is mathematically evaluated as

$\= x = \frac{\sum x_i}{n}$

So

$\= x = \frac{330+ 620+ 1870 +2410+ 4620+ 6396+ 7822+ 8102+8309+ 12882+ 14419+ 16092+ 18384 +20916+ 23812+ 25814 }{16}$

=> $\= x = 10799.9$

The standard deviation is mathematically represented as

$\sigma =\sqrt{\frac{ \sum (x_i - \=x)^2}{n}}$

So

$\sigma =\sqrt{\frac{(330- 10799.9)^2 + (620- 10799.9)^2+ (1870- 10799.9)^2 +(2410- 10799.9)^2 + (4620- 10799.9)^2 +(6396- 10799.9)^2 +(7822- 10799.9)^2 }{16}} \ ..$

$..\sqrt{ \frac{(8102 - 10799.9)^2 +(8309 - 10799.9)^2 + (12882 - 10799.9)^2 + (14419 - 10799.9)^2 + (16092 - 10799.9)^2 + (18384 - 10799.9)^2 +(20916 - 10799.9)^2 }{16}} \ ...$

$\ ... \sqrt{\frac{(23812 - 10799.9)^2 +(25814 - 10799.9)^2 }{16}}$

=> $\sigma = 8340$

Generally the test statistic is mathematically represented as

$t = \frac{10799.9- 14400}{ \frac{8340}{\sqrt{16} } }$

$t = -1.727$

From the z-table the p-value is

$p-value = P(Z > t) = P(Z > -1.727) = 0.95792$

From the values obtained we see that

$p-value > \alpha$ so we fail to reject the null hypothesis

Which implies that the claim of the NarStor is wrong

5 0

2 years ago

Evaluate 7C3. 35 210 21 105

nydimaria [60]

$\bf _nC_r=\cfrac{n!}{r!(n-r)!}\qquad \qquad \qquad \qquad \qquad _7C_3=\cfrac{7!}{3!(7-3)!} \\\\\\ \textit{use the }[!]\textit{ factorial button or the }[_nC_r]\textit{ button in your calculator}$

8 0

2 years ago

Please help for 16 points <br>NO WRONG ANSWERS PLEASE

Sedbober [7]

Answer:

x = 30, x = 5 and x = 9

Step-by-step explanation:

The diagonals of a square are perpendicular bisectors of each other, so

∠ AEB = 90° , then

3x = 90 ( divide both sides by 3 )

x = 30

---------------------------------------------------------

(9)

The 4 angles of a square are right and the diagonals bisect the angles, then

∠ BAC = 45° , so

9x = 45 ( divide both sides by 9 )

x = 5

-------------------------------------------------------

(10)

All sides are congruent , so

CD = AB , that is

3x - 5 = 2x + 4 ( subtract 2x from both sides )

x - 5 = 4 ( add 5 to both sides )

x = 9

5 0

2 years ago