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True [87]
3 years ago
11

If Sonja deposits $1,000 into a savings account at 4% simple interest, how long will it

Mathematics
1 answer:
Galina-37 [17]3 years ago
3 0

Given:

Principal (P)= $1,000

Rate of interest (R)= 4% = 0.04

Simple interest (I)= $100

To find:

The time for which she deposits $1000 into a savings account at 4% simple interest.

Solution:

The formula for simple interest is

I=P\times R\times T

On substituting P=1000, R=0.04 and I=100 in the above formula, we get

100=1000\times 0.04\times T

100=40T

Divide both sides by 40.

\dfrac{100}{40}=T

2.5=T

Therefore, the required time is 2.5 years.

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A normal population has a mean of 19 and a standard deviation of 5.
dangina [55]

Answer:

a) Z = 1.2

b) 38.49% of the population is between 19 and 25.

c) 34.46% of the population is less than 17.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by

Z = \frac{X - \mu}{\sigma}

After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X. If we need to find the probability that the measure is larger than X, it is 1 subtracted by this pvalue.

For this problem, we have that

A normal population has a mean of 19 and a standard deviation of 5, so \mu = 19, \sigma = 5.

(a) Compute the z value associated with 25

This is Z when X = 25

Z = \frac{X - \mu}{\sigma}

Z = \frac{25 - 19}{5}

Z = 1.2

(b) What proportion of the population is between 19 and 25?

This is the pvalue of Z when X = 25 subtracted by the pvalue of Z when X = 19.

X = 25 has Z = 1.2, that has a pvalue of 0.8849.

X = 19 has Z = 0, that has a pvalue of 0.5000.

So 0.8849-0.500 = 0.3849 = 38.49% of the population is between 19 and 25.

(c) What proportion of the population is less than 17?

This is the pvalue of Z when X = 17

Z = \frac{X - \mu}{\sigma}

Z = \frac{17 - 19}{5}

Z = -0.40

Z = -0.40 has a pvalue of 0.3446.

This means that 34.46% of the population is less than 17.

7 0
3 years ago
Simplify<br> 50(x^2+7x+6)
worty [1.4K]

Distribute 50 to every term inside the parentheses.

50\cdotx^2+50\cdot7x+50\cdot6

Simplify with multiplication.

\huge\boxed{50^2+350x+300}

You can't simplify further by adding, so leave the answer as-is.

4 0
1 year ago
Read 2 more answers
This transformation will produce similar, but not congruent, figures.
Angelina_Jolie [31]
Two triangles are said to be congruent when the have the same sides and the same angles. When a figure is dilated by a value, the size of that figure changes.
Therefore, when Triangle MNO is reflected across the y-axis and then dilated by a scale factor of 1.8 to form triangle MꞌꞌNꞌꞌOꞌꞌ, the two triangles are similar but not congruent.
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3 years ago
What is the factored form of the polynomial z² − 10z + 25?
qwelly [4]

Answer:

( z - 5 ) ( z - 5 )

Step-by-step explanation:

z² − 10z + 25

= z² − 5z - 5z + 25

= z ( z - 5 ) - 5 ( z - 5 )

= ( z - 5 ) ( z - 5 )

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3 years ago
I read newspaper I can get recent news<br><br>because ,although ,so that<br><br>​
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um oki ......      -_- ahhhahahhahahah

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