Ralph wants to purchase a renters insurance policy for his new apartment. his insurance company charges an annual premium of 16.53% of the approximate value of the items he owns and is keeping in his apartment. below is a list of items ralph made of the items he has in his apartment that he would like to be insured with his policy. what will ralph’s annual renters insurance premium be? ralph's stuff value tv $150 vcr $60 dvd player $100 stereo $80 sofa $200 entertainment center $100 microwave $40 coffee maker $20 computer $850 bicycle $200 coin collection $600 pictures/posters $175 a. $17.88 b. $35.48 c. $214.58 d. $425.65 select the best answer from the choices provided a b c d mark this and return

d. $425.65

Step-by-step explanation:

The total value of Ralph's stuff is ...

... 150 + 60 + 100 + 80 + 200 + 100 + 40 + 20 + 850 + 200 + 600 + 175 = 2575

The premium is 16.53% of that, so is ...

... 0.1653 × 2575 = 425.65

The insurance company charges an annual premium of $425.65 .

Option (d) is correct .

Step-by-step explanation:

As given

Ralph wants to purchase a renters insurance policy for his new apartment.

His insurance company charges an annual premium of 16.53% of the approximate value of the items he owns and is keeping in his apartment.

Total amount of the items he owns and is keeping in his apartment = TV cost + VCR cost + DVD Player cost + Stereo cost + Sofa cost + Entertainment centre cost  +  Microwave cost + Coffee Maker cost +  Computer cost + Bicycle cost  +  Coin Collection cost  + Pictures/Posters cost

Putting all the values in the above

Total amount of the items he owns and is keeping in his apartment = $150 + $60 +$100 + $ 80 + $200 + $100 + $40 + $20 + $850 + $ 200 + $ 600 + $ 175

Total amount of the items he owns and is keeping in his apartment = $ 2575

16.53 % is written in the decimal form .

= 0.1653

Insurance company charges an annual premium = 0.1653 × Total amount of the items he owns and is keeping in his apartment .

                                                                                   = 0.1653 × 2575

                                                                                   = $ 425.65 (Approx)

Therefore the insurance company charges an annual premium of $425.65 .

Option (d) is correct .

answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation: