All categories

3 years ago

1. Write an expressions that is equivalent to k + k + k + k − 12

Mathematics

1 answer:

Black_prince [1.1K]3 years ago

3 0

Answer:

4k - 12

Step-by-step explanation:

k + k + k + k - 12

4k - 12

It's 4k because you're adding and not multiplying

If you were multiplying it would be k^4

You might be interested in

Skylar plans to use $3400 to open a savings account with an annual interest rate of 1.15%. How much more interest will he earn o

Tanzania [10]

Answer:

$ 2.5

Step-by-step explanation:

Given that

Total Amount to be invested = P = $3400

Total Time of investment = t = 13 years

Rate of interest = r = 1.15 %

Lets calculate Simple interest first

As we know formula for simple interest is

$A = P (1 +r)^{t}$

Substituting the values

$A = 3400(1+ \frac{1.15}{100} )^{13}$

A = $ 3944.9

Lets now calculate the compound interest

As we know formula for simple interest is

$A = P (1 + \frac{r}{n})^{nt}$

As compound interest applies every 3 months so n =3

So,

$A = 3400 (1 + \frac{1.15}{100*4} )^{13*4}$

A = $ 3947.4

Now Lets calculate how much more he will earn using compound interest.

It can be found by taking difference of compound interest and simple interest

Amount = 3947.4 - 3944.9 = $ 2.5

So Skyler must have earned 2.5 dollar more using the compound interest.

8 0

3 years ago

A chocolate factory produces mints that weigh 10 grams apiece. The standard deviation of the weight of a box of 10 mints is 3 gr

frozen [14]

The confidence that the box you bought did not come from the factory is 90 %.

<u>Step-by-step explanation:</u>

Since we have given that

Population Mean weight (\mu)= 10 grams a piece

Standard deviation of the weight of a box = 3 grams

Number of mints = 10

We need to buy a box of mints that weighs 95 grams.

Sample mean is given by

x = $\frac{95}{10}=9.5$ grams .

First we find out the standard error which is given by

$s=\frac{\sigma}{\sqrt{n}}\\\\=\frac{3}{\sqrt{10}}\\\\$ = 0.94868

Since it is normal distribution, so, we will find z-score.

$z=\frac{x-\mu}{s}\\\\z=\frac{9.5-10}{0.94868}\\\\z=-0.527\\\\$

z = - 0.53

The area to the left of a z-score of -0.53 = 0.29805.

So, it may be 90% or 95 % confidence.

For 95% confidence level,

$\alpha=\frac{1-0.95}{2}=0.025$

Similarly,

For 90% confidence level,

$\alpha=\frac{1-0.90}{2}=0.05$

The value is much smaller than 0.05.

So, we will get 90% confidence and the critical value = 1.645

Margin of error is given by

(Standard deviation) $\times$ (critical\ value) = 0.94868 $\times$ 1.645

=1.56

So, confidence interval will be

(10-1.56,10+1.56)

=(8.44,11.56)

4 0

4 years ago

What is yalls snaps so I can get answers by sending a picture?

zavuch27 [327]

Hahahahhahahahahahahahahahahahaha

6 0

3 years ago

How to do frackions , percents, and how to convert frackions.

Vera_Pavlovna [14]

Answer:

To convert a decimal to percent, we multiply the decimal by 100. To convert a fraction to decimal, we divide the numerator by the denominator using long division and to convert a fraction to percent, we convert the fraction to decimal and the decimal to percent.

6 0

3 years ago

The regular price of a basketball was $29.50. The basketball was on sale for 22% off. How much was the discount?

Nimfa-mama [501]

First we divide it by 100 to get 1% of the original price, which is $0.295.
Then we multiply that by 22 to get 22% of the original price: $6.49.
The discount was $6.49, hope this helps!

8 0

4 years ago