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3 years ago

You received a $178 per month raise. That was a 5% increase. What was your monthly salary before the increase? Show work please

Mathematics

1 answer:

zzz [600]3 years ago

3 0

Answer: 169.52

Step-by-step explanation

%increase which is 5% =100 x final - initial

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

initial

the initial is $169.52

and the final $178

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Compare the two statements |-0.45| and | -0.0045|

djyliett [7]

Absolute value means the distance from 0.

|-0.45| =0.45

|-0.0045|=0.0045

0.45>0.0045

|-0.45|>|-0.0045|

8 0

3 years ago

Read 2 more answers

From an industrial area 70 companies were selected at random and 45 of them were panning for expansion next year. Find 95% confi

Lana71 [14]

Answer:

Confidence limit = [52.8%, 75.2%]

Step-by-step explanation:

$P=\frac{45}{70}= 0.64$

$(1-P)=1-0.64=0.36$

$n= 70$

$P$ ± $z$ $\sqrt{\frac{P(1-P)}{n} }$

where the value $z$ will be taken from the z-table for 95% confidence interval

1-0.95= 0.05/2= 0.025

0.95+0.025= 0.0975

From the z-table the value of $z$ corresponding to 0.0975 is 1.96

$0.64$ ± $1.96$ $\sqrt{\frac{0.64*0.36}{70} }$

$0.64$ ± $1.96$ $(0.057)$

$0.64$ ± $0.112$

$64%$ % ± $11.2$ %

so the confidence interval is

$64+11.2=75.2$ %

$64-11.2=52.8$ %

$[52.8, 75.2]$

8 0

3 years ago

There were 200,000 animals of a certain species in 1980. Since then,this number has decreased by 4.5% each year. Approximately h

g100num [7]

Answer: Approximately 25187 animals of this species will be left in 2025

Step-by-step explanation:

We would apply the formula for exponential decay which is expressed as

y = b(1 - r)^x

Where

y represents the population of animals after x years.

x represents the number of years.

b represents the initial population of animals.

r represents rate of decay.

From the information given,

b = 200000

r = 4.5% = 4.5/100 = 0.045

x = 2025 - 1980 = 45 years

Therefore,

y = 200000(1 - 0.045)^45

y = 200000(0.955)^45

y = 25187

8 0

3 years ago

Read 2 more answers

The perimeter of a rectangle is about 13.9 cm. If you double the width of the rectangle the perimeter is about 17.8 cm. Find the

fredd [130]

Answer:

5cm by 1.95cm

Step-by-step explanation:

Let the length of the rectangle be x

Let the width be y

Perimeter of a rectangle = 2x + 2y

If the initial perimeter of a rectangle is about 13.9 cm, then;

13.9 = 2x + 2y ..... 1

If when the width is double the perimeter is 17.8cm, then;

17.8 = 2x + 4y ..... 2

Subtract 1 from 2;

13.9 - 17.8 = 2y - 4y

- 3.9 = -2y

y = 3.9/2

y = 1.95 cm

Substitute y = 1.95 into 1 to get x;

From 1;

13.9 = 2x + 2y

13.9 = 2x + 2(1.95)

13.9 = 2x + 3.9

2x = 13.9-3.9

2x = 10

x = 5 cm

Hence the dimension of the smaller triangle is 5cm by 1.95cm

7 0

3 years ago

The length and breadth of a rectangle are x CM and y CM respectively if the rectangle has an area of 24cm state the possible pai

ELEN [110]

Answer:

The possible pairs of integer values of x and y are (24 ,1), (12,2), ,(8,3), and (6,4) .

Step-by-step explanation:

The length of the rectangle = x cm

The breadth of the rectangle = y cm

Area = 24 sq cm

Now,as x and y are both sides of the rectangle so, x and y ARE STRICTLY POSITIVE.

Also, AREA OF RECTANGLE = LENGTH X BREADTH

⇒ x y = 24 , x >y

So, all possible values of (x,y) = (24 ,1), (12,2), ,(8,3), and (6,4)

Hence, for area to be 24 sq units there are 4 possible dimensional sets.

5 0

3 years ago