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3 years ago

Which equation represents the graphed function?

Mathematics

1 answer:

Phantasy [73]3 years ago

4 0

the answer is c 3/2 x - 3 = y. :)

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a state employees pension fund invested a total of one million dollars into two accounts that earned 3.5 and 4.5 annual simple i

erik [133]

Let the investment in first account be x and this account is earning 3.5% interest

So Interest on this account is 3.5% of x = 0.035x

So the investment in second account would be (1,000,000-x) and this account is earning 4.5% interest

So the interest on this account is 4.5% of (1,000,000-x) = 0.045*(1,000,000-x)

Given that total interest for the year is $42,000

So we have

0.035x + 0.045(1,000,000-x) = 42,000

0.035x - 0.045x + 0.045*1,000,000 = 42,000

-0.01x + 45,000 = 42,000

-0.01x = 42,000-45,000

-0.01x = - 3000

0.01x = 3000

x = 3000/0.01

x= 3,00,000

Therefore Investment in one account s 300,000 and the investment in other account is 1,000,000-300,000 = 700,000

4 0

3 years ago

A company produces packets of soap powder labeled "Giant Size 32 Ounces." The actual weight of soap powder in such a box has a N

Nataliya [291]

Answer:

C. 34.15 oz

Step-by-step explanation:

Problems of normally distributed samples are 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.

In this problem, we have that:

$\mu= 33, \sigma = 0.7$

How heavy does a box have to be for it to be labeled overweight?

Top 5%, so X when Z has a pvalue of 1-0.05 = 0.95.

So X when Z = 1.645.

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

$1.645 = \frac{X - 33}{0.7}$

$X - 33 = 0.7*1.645$

$X = 34.15$

So the correct answer is:

C. 34.15 oz

4 0

3 years ago

A bacteria population is growing exponentially with a growth factor of 1/6 each hour. By what growth factor does the population

Nadusha1986 [10]

Answer:

b. √(1/6)

Step-by-step explanation:

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6 0

3 years ago

HELPPPP MEEEEEE!!!!!

kirill115 [55]

I hope this can help you

5 0

2 years ago

Factor<br> 2) x2 – 3x – 18

Anna71 [15]

Answer:

By inspection you need 2 numbers that multiply together to 18 and sum to 3. These numbers are 6 and 3. Therefore we have to find the value of x but we dont have that so we have this:

x to the power of 2-3x - 18 = ( X - 6) ( x + 3)

6 0

3 years ago