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3 years ago

Which of the expressions are equivalent to the one below? 7x(6+3)

Mathematics

1 answer:

frosja888 [35]3 years ago

5 0

A. Is the answer
Hope this helped :)

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What is the value of the radical expression shown below?

avanturin [10]

Answer:

5/7

Step-by-step explanation:

Simplify the radical by breaking the radical up into a product of known factors.

7 0

3 years ago

Read 2 more answers

Identify the expression with nonnegative limit values. More info on the pic. PLEASE HELP.

marshall27 [118]

Answer:

$\lim _{x\to 2}\:\frac{x-2}{x^2-2}\\\\ \lim _{x\to 11}\:\frac{x^2+6x-187}{x^2+3x-154}\\\\ \lim _{x\to \frac{5}{2}}\left\frac{2x^2+x-15}{2x-5}\right$

Step-by-step explanation:

a) $\lim _{x\to 3}\:\frac{x^2-10x+21}{x^2+4x-21}=\lim \:_{x\to \:3}\:\frac{\left(x-7\right)\left(x-3\right)}{\left(x+7\right)\left(x-3\right)}=\lim \:_{x\to \:3}\:\frac{x-7}{x+7}=\frac{3-7}{3+7}=-\frac{4}{10}=-\frac{2}{5}$

b) $\lim _{x\to -\frac{3}{2}}\left(\frac{2x^2-5x-12}{2x+3}\right)=\lim \:_{x\to -\frac{3}{2}}\:\frac{\left(2x+3\right)\left(x-4\right)}{\left(2x+3\right)}=\lim \:\:_{x\to \:-\frac{3}{2}}\:\left(x-4\right)=-\frac{3}{2}-4\\ \\ \lim _{x\to -\frac{3}{2}}\left(\frac{2x^2-5x-12}{2x+3}\right)=-\frac{11}{2}$

c) $\lim _{x\to 2}\:\frac{x-2}{x^2-2}=\frac{2-2}{\left(2\right)^2-2}=\frac{0}{4-2}=0$

d) $\lim _{x\to 11}\:\frac{x^2+6x-187}{x^2+3x-154}=\lim _{x\to 11}\:\frac{\left(x-11\right)\left(x+17\right)}{\left(x-11\right)\left(x+14\right)}=\lim _{x\to 11}\:\frac{\left(x+17\right)}{\left(x+14\right)}=\frac{11+17}{11+14}=\frac{28}{25}$

e) $\lim _{x\to 3}\:\frac{x^2-8x+15}{x-3}=\lim \:_{x\to \:3}\:\frac{\left(x-3\right)\left(x-5\right)}{x-3}=\lim _{x\to 3}\left(x-5\right)=3-5=-2$

f) $\lim _{x\to \frac{5}{2}}\left(\frac{2x^2+x-15}{2x-5}\right)=\lim \:_{x\to \:\frac{5}{2}}\frac{\left(2x-5\right)\left(x+3\right)}{2x-5}=\lim \:\:_{x\to \:\:\frac{5}{2}}\left(x+3\right)=\frac{5}{2}+3=\frac{11}{2}$

4 0

3 years ago

Which item is NOT a savings instrument?

quester [9]

Answer with explanation:

A: Treasury Bond: In treasury bond interest is paid till that duration until the bond completely matures. When the period of bond gets over, Actual amount or Par Amount is Returned.

⇒A Saving Instrument.

B. C D

Compact Disc. A type of device that can store data, that is Nanotechnology is used to store more than 500 MB of data.

C: Saving Account

In saving Account, you can deposit and withdraw money at any time ,any day, with the evolution of new technology.

D: Checking Account

Same with the checking account,you can withdraw and deposit money any time on a day.

→Option A, C and D are , types of account , related with currency that is money, but option B, is term related to data.

Option B: →C D is not a Saving Instrument.

6 0

3 years ago

Find the amount and present value of 10 quarterly payments of $ 1500, if the interest rate is 25% compounded each month.

BlackZzzverrR [31]

Given Information:

Monthly payment = MP = $1500/4 = $375

Monthly interest rate = r = 25/12 = 2.083%

Required Information:

Present Value = ?

Answer:

$PV = \$10,110$

Explanation:

n = 10*4

n = 40 monthly payments

The present value is found by

$PV = MP \times \frac{ (1 - \frac{1}{(1+r)^n} )}{r}$

Where r is monthly interest rate.

MP is the monthly payment.

$PV = 375 \times \frac{ (1 - \frac{1}{(1+0.02083)^{40}} )}{0.02083}$

$PV = 375 \times (26.96)$

$PV = \$10,110$

Therefore, $10,110 is the present value of 10 quarterly payments of $1500 each at 25% interest rate compounded each month.

7 0

3 years ago

Kayla wants to build a fence in her backyard the length of her backyard is 30 feet and the width is 45 feet how many feet of fen

crimeas [40]

Answer:

150

Step-by-step explanation:

30 + 30 + 45 + 45 = 150

4 0

3 years ago