Write an arithmetic sequence whose common difference is 18

How do you write 118% as a fraction, mixed number, or whole number?

Keith_Richards [23]

Answer:

1 9/50

Step-by-step explanation:

So, /(100÷2) = 59/50 when reduced to the simplest form. As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 118/100 is also equal to 1 9/50 when expressed as a mixed number.

3 0

2 years ago

Read 2 more answers

If you deposit $25,000 now at 6.5% compounded quarterly, how much will you have in 30 years?

Mice21 [21]

Answer:

$172,984.44

Step-by-step explanation:

We can use the formula

$A = P(1 + \frac{r}{n})^{nt}$ to compute the final amount

Here P is the principal amount, the original deposit = $25,000

r is the annual interest rate = 6.5% = 0.065 in decimal

n is the number of times the compounding takes place. Here it is quarterly so it is 4 times a year

t is the number of time periods ie 30 years

A is the accrued amount ie principal + interest

Computing different components,

$nt = 4 \times 30 = 120$

$r/n = 0.065/4 = .01625$

$1 + r/n = 1.01625$

$(1 + r/n)^{nt} = 1.01625^{120}$

Therefore

$A = 25000 \times 1.0625^{120} = 172,984.44$

4 0

2 years ago

What is the area of the actual square window shown in the scale drawing?

larisa86 [58]

The area of the actual square window = 2.25 m².

<h3>Scale Drawing</h3>

Scale drawing relates the actual length of an object to its length on a paper.

Given a scale of 1 in = 2 m, it means 1 in on paper is about 2 m of the actual length of the object.

Thus:

Length on scale drawing = 0.75 in
Actual length = x

Therefore:

1/2 = 0.75/x

Cross multiply

x = 1.5 m

Area of the actual square window = 1.5² = 2.25 m².

Learn more about scale drawing on:

brainly.com/question/25324744

5 0

2 years ago

If the distribution is really (5.43,0.54)

defon

Answer:

0.7486 = 74.86% observations would be less than 5.79

Step-by-step explanation:

I suppose there was a small typing mistake, so i am going to use the distribution as N (5.43,0.54)

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:

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

The Z-score measures how many standard deviations the measure is from the mean. 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, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

The general format of the normal distribution is:

N(mean, standard deviation)

Which means that:

$\mu = 5.43, \sigma = 0.54$