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3 years ago

An alarm rings 8 times in 5 seconds.What is the unitr rate,in rings per second?

Mathematics

1 answer:

irina1246 [14]3 years ago

4 0

Answer: the answer is 1.6

Step-by-step explanation: 8 divided by 5 is 1.6

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Nikita invests $2,000 into a bank account with a 4% annual interest rate. In seven years, which is the most expensive item she c

Stella [2.4K]

Answer:

Anything that does not cost more than $2,560.00

Step-by-step explanation:

Provided that Nikita is spending money that she had invested and the amount she collected over the period of 7 years. She can buy any item that costs no more than $2,560.00 but how?

It is a problem of simple interest:

Here the principal amount (P) = $2,000.00

Interest rate (r) = 4%

Time period (t) = 7 years

So, total amount that she would get by the end of 7 years is:

$A=P+SI$

$SI=\frac{P\times r\times t}{100}$

Plugging the values we get:

$SI=\frac{2000\times 4\times 7}{100}=560.00$

So the interest collected over 7 years is $560.00

Therefore, the total amount after 7 years is:

$\$2000.00+\$560.00=\$2,560.00$

If Nikita is using this money then the most expensive item that she could buy will cost no more than $2,560.00.

6 0

3 years ago

What is the difference between -93 and 114 on a number line?

zhenek [66]

Distance: 7-(-3)=10 Midpoint: (7+(-3))=4/2=2 hahaha haha thats right

3 0

3 years ago

Mr.yueng graded his students math quizzes students came up with four different answers when solving the equation x3=22. Which an

alex41 [277]

The question is incomplete. Here is the complete question:

Mr.yueng graded his students math quizzes students came up with four different answers when solving the equation x3=22. Which answers is correct.

(A) $\frac{22}{3}$

(B) $\sqrt[3]{22}$

(C) $\pm \sqrt[3]{22}$

(D) $\sqrt{22}$

Answer:

(B) $\sqrt[3]{22}$

Step-by-step explanation:

Given:

The equation to solve is given as:

$x^3=22$

Here, the left hand side of the equation has a variable 'x' in exponent form. So, in order to solve for 'x', we have to eliminate the exponent.

For removing the exponent, we have to take cubic root on both the sides. As we know that,

$\sqrt[n]{x^n} =x$

So, taking cubic root on both the sides, we get

$\sqrt[3]{x^3}=\sqrt[3]{22}\\\\x=\sqrt[3]{22}$

Therefore, the second student has written the correct answer and hence the correct option is (B).

6 0

3 years ago

Read 2 more answers

(2x -2)^-3<br>can anyone help me with this?

zzz [600]

Answer: See below

Step-by-step explanation:

When you see that something is to the power of a negative number, it is another way of saying 1 over.

$(2x-2)^-^3=\frac{1}{(2x-2)^3} =\frac{1}{(2x-2)(4x^2-8x+4)} =\frac{1}{8x^3-8x^2+8x-8}$

4 0

3 years ago

Convert y=-(x-3)^2+11 to standard form

Citrus2011 [14]

Y=−x2+6x+2 is the standard form of the equation you provided.

8 0

3 years ago