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2 years ago

Find the principal which amounts to $918 in 1 year at a simple interest of 2% per annum

Mathematics

1 answer:

Fantom [35]2 years ago

4 0

Answer:

P = $900

Step-by-step explanation:

Simple Interest Formula: $A = P(1+rt)$

Where A is the final amount,

P = Principal

r = Interest Rate in Percent or $\frac{r}{100}$ per annum

t = time in years

From the information given in the question,

A = $918

r = 2% per annum or $\frac{2}{100}$

t = 1 year

Lets substitute these values to find P, the principal.

$P(1+(\frac{2}{100} )(1))=918\\P(1+0.02)=918\\1.02P=918\\P = \frac{918}{1.02} \\=$900$

Therefore, P = $900

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Between what integers is number 4.6?

Finger [1]

Answer:

4.6 is between 4 and 5

-2 1/3 is between -2 and -3

Step-by-step explanation:

That is the numbers around them in a number line

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4 years ago

What is the radius of PF?

Valentin [98]

Half of 80 is the answer

4 0

4 years ago

Please help me with these math questions!

nexus9112 [7]

Hi there!

To solve both of you questions, you will need to use the cross product method :

<u>Finding "x" :</u>

$\frac{2scoops}{1/2gallon} = \frac{4scoops}{xgallon}$

So you have to do :

(4 × $\frac{1}{2}$ ) ÷ 2 = x gallon

4 times $\frac{1}{2}$ is the same thing as 4 times 0.5, which equals 2.

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So the amout for x would be : 1 gallon

<u>Finding "y" :</u>

You could do the exact same method as we did for finding "x", but the easiest and fastest way to get our answer is just by multiplying the amout we got for "x" by 2 because we are putting 8 scoops instead of 4 for "x" (and 4 times 2 = 8) :

1 gallon × 2 = y

2 gallons = y

So your answer is : The amount for y would be : 2 gallons

There you go! I really hope this helped, if there's anything just let me know! :)

3 0

3 years ago

he graphed line shown below is y = 3 x minus 1. On a coordinate plane, a line goes through (0, negative 1) and (1, 2). Which equ

AysviL [449]

Answer:

y + 1 = 3x

Step-by-step explanation:

The graphed line is y = 3x - 1

The options given to us are

y + 1 = 3x

y = -3x + 1

y = 3x + 1

y - 3x = -3

Consider the first equation:

y + 1 = 3x

Substitute (0,-1) into the equation:

-1 + 1 = 3(0)

0=0

Substitute (1,2) into the equation:

2+1 = 3(1)

3 = 3

Thus the equation holds true for the given points.

Rearrange the equation

y + 1 = 3x

y = 3x - 1

As it is the same equation which was initially graphed, both of these lines will be same and overlap each other, resulting in infinite number of solution

7 0

4 years ago

Read 2 more answers

The following data set represents the number of new computer accounts registered during ten consecutivedays:43,37,50,51,58,52,45

FrozenT [24]

Answer:

Outliers have great effect on the mean and standard deviation of the data set

Step-by-step explanation:

Mean =(43+37+50+51+58+52+45+45+58+130)/10

Mean= 579/10

Mean = 57.9

Arranging in ascending order

= 37,43,45,45,50,51,52,58,58,130

Median= (50+51)/2

Median= 101/2

Median= 50.5

IQR= (130-37)/2

IQR= 93/2

IQR= 46.5

Standard deviation

=√(((37-57.9)²+(43-57.9)²+(45-57.9)²+(45-57.9)²+(50-57.9)²+(51-57.9)²+(52-57.9)²+(58-57.9)²+(58-57.9)²+(130-57.9)²)/10)

Standard deviation= 25.1

1.5*(46.5)= 69.75

The number more than 69.75 is 130 and it's the outlier

Without outlier

Mean= (43+37+50+51+58+52+45+45+58)/9

Mean = 449/9

Mean = 49.88

Arranging in ascending order

= 37,43,45,45,50,51,52,58,58

Median= 50

IQR= (58-37)/2

IQR=21/2

IQR=10.5

Standard deviation

6 0

3 years ago