All categories

3 years ago

What is the remainder when 14,952 is divided by 41? Is the answer, 28, 29 or 30, or 31?

Mathematics

1 answer:

Bas_tet [7]3 years ago

5 0

Answer:

Step-by-step explanation:

49*364= 14924

14952 - 14924= 28

You might be interested in

How manys days makes a leap year?

dem82 [27]

Answer: In an ordinary year, if you were to count all the days in a calendar from January to December, you'd count 365 days. But approximately every four years, February has 29 days instead of 28. So, there are 366 days in the year. This is called a leap year.

Step-by-step explanation:

3 0

3 years ago

A certain company recently sold five-year $1000 bonds with an annual yield of 9.75%. After how much time could they be sold for

Brut [27]

Answer:

After 7 years and 5 months.

Step-by-step explanation:

Let x represent number of years.

We have been given that a certain company recently sold five-year $1000 bonds with an annual yield of 9.75%.

We can see that the value of bond is increasing exponentially, so we will use exponential growth formula to solve our given problem.

$y=a\cdot (1+r)^x$ , where,

y = Final value,

a = Initial value,

r = Rate in decimal form,

x = Time

$9.75\%=\frac{9.75}{100}=0.0975$

Substituting given values:

$y=1000\cdot (1+0.0975)^x$

$y=1000\cdot (1.0975)^x$

Since we need the selling price to be twice the original price, so we will substitute $y=2000$ in above equation as:

$2000=1000\cdot (1.0975)^x$

$\frac{2000}{1000}=\frac{1000\cdot (1.0975)^x}{1000}$

$2=1.0975^x$

Switch sides:

$1.0975^x=2$

Take natural log of both sides:

$\text{ln}(1.0975^x)=\text{ln}(2)$

Applying rule $\text{ln}(a^b)=b\cdot \text{ln}(a)$ :

$x\cdot \text{ln}(1.0975)=\text{ln}(2)$

$\frac{x\cdot \text{ln}(1.0975)}{\text{ln}(1.0975)}=\frac{\text{ln}(2)}{\text{ln}(1.0975)}$

$x=\frac{0.6931471805599453}{0.0930348659671894}$

$x=7.45040231265$

$x\approx 7.4504$

Since x represents time in years, so we need to convert decimal part into months by multiplying .4504 by 12 as 1 year equals 12 months.

7 years and 12*0.4504023 months = 7 years 5.4 months = 7 years 5 months

Therefore, after 7 years and 5 months the company could sold the bonds for twice their original price.

8 0

3 years ago

Community Service You are making a bulletin board to

liubo4ka [24]

Answer:

72 ads

Step-by-step explanation:

Let

x -----> the number of ads

we know that

5 sheets of construction paper for a title banner plus the number of ads multiplied by one quarter of sheet must be equal to 23 sheets of construction paper

The linear equation that represent this problem is

$\frac{1}{4}x+5=23$