Ask question

Ask question

All categories

3 years ago

13

After 2 years, Deion earned $270 in simple interest from a CD into which he initially deposited $6000. What was the annual inter

est rate of the CD? A. 6.5% B. 9.75% C. 2.25% D. 3.25%

2 answers:

shusha [124]3 years ago

6 0

I=prt
When I want to find the rate
r=I/pt so
R=(270/6000*2)*100==2.25%

mars1129 [50]3 years ago

3 0

Answer:

C. 2.25%

Step-by-step explanation:

Given : Simple interest = $270

Principal = $6000

time = 2 years

To F ind : Annual interest rate (R)

Solution :

using simple interest formula i.e.

$S.I. = P*R*T$

where R is in decimals

⇒ $270 = 6000*R*2$

⇒ $\frac{270}{6000*2} = R$

⇒0.0225 = R(IN DECIMAL)

Multiply by 100 to convert it in percentage

⇒R = 2.25%

Thus the annual interest rate of the CD is 2.25%

You might be interested in

Fourteen more than a number is eighteen.

AVprozaik [17]

Answer: 4

Step-by-step explanation:

18-14=4

3 0

3 years ago

A pair of fair dice is cast. Let Edenote the event that the number landing uppermost on the first die is a 1 and let Fdenote the

iris [78.8K]

Answer:

They are not independent

Step-by-step explanation:

Given

E = Occurrence of 1 on first die

F = Sum of the uppermost occurrence in both die is 5

Required

Are E and F independent

First, we need to list the sample space of a roll of a die

$Event\ 1 = \{1,2,3,4,5,6\}$

Next, we list out the sample space of F

$Event\ 2 = \{2,3,4,5,6,7,3,4,5,6,7,8,4,5,\$

$6,7,8,9,5,6,7,8,9,10,6,7,8,9,10,11,7,8,9,10,11,12\}$

In (1): the sample space of E is:

$E = \{1\}$

So:

$P(E) = \frac{n(E)}{n(Event\ 1)}$

$P(E) = \frac{1}{6}$

In (2): the sample space of F is:

$F = \{5,5,5,5\}$

So:

$P(F) = \frac{n(F)}{n(Event\ 2)}$

$P(F) =\frac{4}{36}$

$P(F) =\frac{1}{9}$

For E and F to be independent:

$P(E\ and\ F) = P(E) * P(F)$

Substitute values for P(E) and P(F)

This gives:

$P(E\ and\ F) = \frac{1}{6} * \frac{1}{9}$

$P(E\ and\ F) = \frac{1}{54}$

However, the actual value of P(E and F) is 0.

This is so because $E = \{1\}$ and $F = \{5,5,5,5\}$ have 0 common elements:

So:

$P(E\ and\ F) = 0$

Compare $P(E\ and\ F) = \frac{1}{54}$ and $P(E\ and\ F) = 0$ .

These values are not equal.

Hence: the two events are not independent

6 0

2 years ago

What is the solution to the equation?

AleksandrR [38]

Solution of the equation: $x=6\frac{1}{2}$

Step-by-step explanation:

The equation that we have to solve in this problem is:

$13\frac{3}{4}+x=7\frac{1}{4}$

The first step to do is to rewrite the mixed fractions as improper fractions. We have:

$13\frac{3}{4}=\frac{13\cdot 4+3}{4}=\frac{52+3}{4}=\frac{55}{4}$

And

$7\frac{1}{4}=\frac{7\cdot 4+1}{4}=\frac{29}{4}$

So the equation becomes

$\frac{29}{4}+x=\frac{55}{4}$

Now we multiply by 4 each term on both sides, and we get

$29+4x=55$

Now we subtract 29 from both sides,

$4x=55-29=26$

And finally, we divide both sides by 4:

$x=\frac{26}{4}=\frac{13}{2}=6\frac{1}{2}$

Learn more about equations:

brainly.com/question/11306893

brainly.com/question/10387593

#LearnwithBrainly

4 0

3 years ago

Read 2 more answers

Find two irrational numbers between 0.3 and 0.7?

Vesnalui [34]

Answer:

0.3101001000......

0.410100100010000....

Step-by-step explanation:

To find irrational number between any two numbers, we first need to understand what a rational and irrational number is.

Rational number is any number that can be expressed in fraction of form $p/q$ . Since q can be 1, all numbers that terminate are rational numbers. Example: 1, 12.34, 123.66663

Irrational number on the other hand can't be expressed as a fraction and do not terminate. Also, there is no pattern in numbers i.e. there is no repetition in numbers after the decimal point.

For example: 3.44444..... can be expressed as rational number 3.45.

But 3.414114111.... is an irrational number as there no pattern observed. Also,it does not terminate.

We can find infinite number of irrational numbers in between two rational numbers.

<u>Irrational numbers in between 0.3 and 0.7:</u>

0.3101001000......

0.410100100010000....

0.51010010001.......

0.6101001000....

There are many others. We can choose any two as answers.

6 0

3 years ago

Which expression is equivalent to 2(3 - x) - 12 + 4x

iragen [17]

You would distribute then combine like terms to get your answer.

3 0

2 years ago