-3 progression 8 common difference what is the 28th term

Answers

Answer 1

Answer: the answer for this problem would be 213

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A salesperson at a clothing store earns a 2% commission on all sales. How much commission does the salesperson earn on a $300 sale?

Answers

$1 \% = (1)/(100)\n \n2 \% = 2 \cdot (1)/(100 )=(1)/(50) \n \n 300 \$ \cdot 2 \% = 300 \cdot (1)/(50 )= (300)/(50)=6 \% \n \n Answer : \ salesperson \ earns \ \$ \ 6$

A solid metal sphere of radius 32cm is melted down and recast to make 64 identical small spheres.what will be the radius of each small sphere?

Answers

$V_1=(4)/(3)\pi R^3\n\nR=32cm\n\nV_1=(4)/(3)\pi\cdot32^3=(131072)/(3)\pi\ (cm^3)\n\nV_2=V_1:64\n\nV_2=(131072)/(64)\pi:64=(131072)/(3)\pi\cdot(1)/(64)=(2048)/(3)\pi\ (cm^3)\n\nr=?\n\nV_2=(4)/(3)\pi r^3$

$(4)/(3)\pi r^3=(2048)/(3)\pi\ \ \ /:\pi\n\n(4)/(3)r^3=(2048)/(3)\ \ \ /\cdot(3)/(4)\n\nr^3=512\n\nr=\sqrt[3]{512}\n\nr=8\ (cm)\leftarrow answer$

The distances (y), in miles, of two cars from their starting points at certain times (x), in hours, are shown by the equations below:Car A
y = 45x + 20
Car B
y = 35x + 60
After how many hours will the two cars be at the same distance from their starting point and what will that distance be?
3 hours, 200 miles
3 hours, 180 miles
4 hours, 200 miles
4 hours, 180 miles

Answers

Given the equations for cars A and B, we are to find the time when their distances would be the same. Since y is the distance, we have to equate both expressions in terms of y to solve for the time (x):

y = 45x + 20
y = 35x + 60

45x + 20 = 35x + 60
45x - 35x = 60 - 20
10x = 40
x = 4 ; after 4 hours, they will be at the same distance from the starting point.

Using the obtained value of x, we solve for the distance using either of the equations:

y = 45(4) + 20
y = 180 + 20
y = 200

y = 35x + 60
y = 35(4) + 60
y = 140 + 60
y = 200

Therefore, the correct answer is 4 hours, 200 miles

Answer:

4 hours, 200 miles

Step-by-step explanation:

A paroxysm of laughter escaped a few. If the ratio of the laughers to the stolid was 2 to 17,and 7600 were in the throng, how many did not laugh

Answers

Well, one part is 3800 so the remaining 17-2=15 parts was 57000 people.

The value of a book is $150 and decreases at a rate of 4% per year. Find the value of the book after 12 years

Answers

If it decreases at 4% every year, then its value becomes:

100% - 4% = 96% = 96/100 = 0.96

At the end of the 1 year its value becomes: 150*(0.96)

At the end of the 2 years its value becomes: 150*(0.96)*(0.96) = 150*(0.96)²

At the end of the 3 years its value becomes: 150*(0.96)*(0.96)*(0.96) = 150(0.96)³

So similarly at the end of 12 years, its value becomes 150*(0.96)¹²

=50*(0.96)¹² simplify with calculator.

≈ 91.91

Value at the end of 12 years becomes ≈ $91.91

I hope this helps.

How to solve pls show steps

Answers

Answer:

Hi,

Step-by-step explanation:

$((2^7)/(2^5) )^2=(2^(7-5))^2=(2^2)^2=2^4=2*2*2*2=16$

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Ryan was adding numbers on a number line. He started at –3 and then he added +2. He wrote that his answer was –5 . Is Ryan's answer reasonable? A. No, it is not reasonable because if you start at –3, you will move 2 spaces to the right and get –1. B. No, it is not reasonable because if you add two integers, you get a positive integer. The answer is +5. C. Yes, it is reasonable because if you start at –3, you will move 2 spaces to the left and get –5.

the scale on the a map is 1 inch = 2 1/2 miles the distance between two streets on the map is 1 3/4 what is the actual distance between these streets