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3 years ago

What is the rate and unit rate of 16 dollars for 9 books?

Mathematics

1 answer:

HACTEHA [7]3 years ago

7 0

The rate is 16 dollars for 9 books and the unit rate is $1.777777778 per book.

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3 x 52 x a = a x 2 x 78

Hitman42 [59]

True they both equal 156

8 0

3 years ago

Taylor opened a savings account with $425. After 2 years, the total interest earned was $10.20. What was the annual interest rat

storchak [24]

Answer:

R = 1.2%

Step-by-step explanation:

Given the following data;

Principal = 425

Time = 2

Simple interest = 10.20

To find the annual interest rate;

Mathematically, simple interest is calculated using this formula;

$S.I = \frac {PRT}{100}$

Where;

S.I is simple interest.
P is the principal.
R is the interest rate.
T is the time.

Substituting into the equation, we have;

$10.20 = \frac {425*R*2}{100}$

$10.20 = \frac {850R}{100}$

Cross-multiplying, we have;

$1020 = 850R$

$R = \frac {1020}{850}$

R = 1.2%

Therefore, the annual interest rate is 1.2 percent.

6 0

3 years ago

Write each complex number in rectangular form. a. 2(cos(135)+i sin(135)) b. 3(cos(120))+i sin(120)) c. 5(cos(5pi/4)+i sin(5pi/4)

bagirrra123 [75]

$\bf r\left[ cos\left( \theta \right)+i\ sin\left( \theta \right) \right]\quad 
\begin{cases}
x=rcos(\theta )\\
y=rsin(\theta )
\end{cases}\implies 
\begin{array}{llll}
x&,&y\\
a&&b
\end{array}\implies a+bi\\\\
-------------------------------\\\\
2\left[ cos\left( 135^o\right)+i\ sin\left( 135^o\right) \right]\impliedby r=2\qquad \theta =135^o
\\\\\\
2\left( -\frac{\sqrt{2}}{2} \right)+i\ 2\left( \frac{\sqrt{2}}{2}\right)\implies -\sqrt{2}+\sqrt{2}\ i$

$\bf -------------------------------\\\\
3\left[ cos\left( 120^o\right)+i\ sin\left( 120^o\right) \right]\impliedby r=3\qquad \theta =120^o
\\\\\\
3\left( -\frac{1}{2} \right)+i\ 3\left( \frac{\sqrt{3}}{2}\right)\implies -\frac{3}{2}+\frac{3\sqrt{3}}{2}\ i$

$\bf \\\\
-------------------------------\\\\
5\left[ cos\left( \frac{5\pi }{4}\right)+i\ sin\left( \frac{5\pi }{4}\right) \right]\impliedby r=5\qquad \theta =\frac{5\pi }{4}
\\\\\\
5\left( -\frac{\sqrt{2}}{2} \right)+i\ 5\left( -\frac{\sqrt{2}}{2}\right)\implies -\frac{\sqrt{2}}{2}-\frac{\sqrt{2}}{2}\ i$

$\bf -------------------------------\\\\
4\left[ cos\left( \frac{5\pi }{3}\right)+i\ sin\left( \frac{5\pi }{3}\right) \right]\impliedby r=4\qquad \theta =\frac{5\pi }{3}
\\\\\\
4\left( \frac{1}{2} \right)+i\ 4\left( -\frac{\sqrt{3}}{2}\right)\implies \frac{1}{2}-\frac{\sqrt{3}}{2}\ i$

3 0

3 years ago

Question about decimals

meriva

Answer:

Both are terminating decimals

Step-by-step explanation:

Answer to your questions:

First of all, both A and B are correct and both quotients are terminating decimals.

To find out if the decimal is terminating or not, multiply the quotient by divisor. If you get exactly the same number as dividend, then it is terminating otherwise it is non-terminating.

The fraction may have greater numerator than denominator, in this case the quotient will be greater than one.
Now regarding simplification. You would be asked to give an answer rounded to some extend. One decimal place, two decimal places, 3 significant numbers etc. For the first operation you would get 34.8 (rounded to nearest tenth).
Or you may be asked to have a best estimated result. In this case you would round the initial numbers and find results. 205/714 ≈ 0.29

4 0

3 years ago

Write a question about a situation that has 24-x for the answer

NARA [144]

Answer:

A bottle holds 24 ounces of water. It has x ounces of water in it.

What does 24 - x represent in this situation?

4 0

3 years ago