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Alexxx [7]
3 years ago
11

Simplify. Write in scientific notation. 0.5(8 * 10^5). A. 8*5^5. B. 4*5^5. C. 8*10^5. D. 4^10^5

Mathematics
1 answer:
Alika [10]3 years ago
8 0

it would be 4×10^{5}

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The selling price, s, of an item is s = c + mc, where c is the cost of the item and m is the percent markup based on cost. What
levacccp [35]
S=c+mc
s-c=mc
(s-c)/c=m
m=(s-c)/c
7 0
3 years ago
Read 2 more answers
Find an explicit form f(n) of the arithmetic sequence where the 2nd term is 25 and the sum of the 3rd term and 4th
Westkost [7]

Answer:f(n) = 12n + 1

Step-by-step explanation:

Since it is an arithmetic sequence, the general formula for nth term is given as

\\f(n) = a + ( n-1)d , where a is the first term, n is the number of terms and d is the common difference.

\\Given from the question

\\Second term  is 25 , which means that

a + d = 25  

\\Also given , the sum of third and fifth term is 86, which means

\\a + 2d + a + 3d = 86

\\2a + 5d = 86

\\Combining the two equations , we have

\\a + d = 25 ………….. I

\\2a + 5d = 86………..II  

\\Using substitution method  to solve the resulting simultaneous equation

\\From equation I make a the subject of the formula, which gives

\\ a = 25 – d…………………. III

\\Substitute the value of a into equation II , we have

\\2 ( 25 – d) + 5d = 86

\\Expanding

\\50 + 2d + 5d = 86

\\50 + 3d = 86

\\Collect the like terms

\\3d = 86 – 50

\\3d = 36

\\d = 12

\\substitute the value of d into equation III, we have

\\a = 25 – 12

\\a = 13

\\Since we have gotten the value of a and b , we will substitute into the general formula for the nth term

\\f(n) = a + ( n-1)

\\f(n) = 13 + (n-1)12

\\Expanding

\\f(n) = 13+ 12n -12

f(n) =12n + 1

\\Therefore the explicit form f(n) of the arithmetic sequence is f(n) =12n + 1

7 0
2 years ago
Harry and Taylor are running a concession stand for a concert. Hot dogs at the concession stand cost $1.25 each and sodas cost $
Margarita [4]

Answer:

a-135 hot dogs and 245 sodas were sold.

Step-by-step explanation:

Our equations are:

1.25h + 0.75s = 352.50

h + s = 380

Let's use substitution to solve for this system. In the second equation, let's write h in terms of s:

h + s = 380

h = 380 - s

Now, let's plug in 380 - s for h in the first equation:

1.25h + 0.75s = 352.50

1.25(380 - s) + 0.75s = 352.50

We can now solve for s fairly easily:

1.25(380 - s) + 0.75s = 352.50

475 - 1.25s + 0.75s = 352.50

0.5s = 122.5

s = 245 sodas

We can already see which answer choice will match: A, and that is our answer.

5 0
3 years ago
Read 2 more answers
You have a part time job in your junior year of high school. You need to borrow $2,000 to purchase a used car to drive to work.
VARVARA [1.3K]

Answer:

$149.66

Step-by-step explanation:

Step 1

Calculate Total Amount payable to the bank using compound interest

Total Amount payable (A) =

P(1 + r/n)^nt

P = Principal = $2000

r = Interest rate = 9% = 0.09

n = compounding interest = quarterly = 4

t = time in years = 2

Total Amount payable

= 2000(1 + 0.09/4)^0.09 × 2

A = $ 2,389.66

Interest = A - Principal

= $ 2,389.66 - $ 2,000.00

I (interest) = $ 389.66

Step 2

Calculate the Total amount payable to his uncle using simple interest.

Total Amount (A) = P(1 + rt)

P = Principal = $2000

r = Interest rate = 6% = 0.06

t = time in years = 2

A = 2000(1 + 0.06 × 2)

A = $2,240

A - Principal

= $ 2,240 - $ 2,000.

I (interest) = $240

Step 3

The amount of money you will save by borrowing the money from your uncle is calculated as:

Amount payable to the bank - Amount payable to your uncle

= $ 2,389.66 - $2,240

= $149.66

Therefore, the amount of money you will save by borrowing the money from your uncle is $149.66

3 0
3 years ago
Please help I really need it on this one thank you
Bond [772]
(-7) * 8 = -56

answer
A. -56

hope it helps
7 0
3 years ago
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