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andriy [413]
3 years ago
6

After 10 years, Hamid's account earned $300 in interest. If the interest rate (in decimal form) is 0.06, how much did Hamid init

ially invest? Without substitution, solve the formula chosen in the previous step for the unknown variable in terms of the known variable(s). I=prt
Mathematics
1 answer:
tester [92]3 years ago
6 0

Answer:

  • p = I/(rt)
  • p = $500

Step-by-step explanation:

To solve the equation I=prt for p, divide by its coefficient, rt. That gives ...

  p = I/(rt)

__

Now, to answer the question, you can substitute the given values for I, r, t and you have ...

  p = $300/(0.06·10) = $500

Hamid initially invested $500.

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Please help with number 33 and 34!
mariarad [96]
Problem 33

For each number, generate a factor tree. This is where you break a number down into smaller factors in a visual "tree" like style. The idea is to factor down to the prime factors and then you circle the common primes between each number. The values you circle are then multiplied if you circle more than one value in each tree. 

-------------------------------------------------------------------------------

Problem 34

Xiao factored correctly but didn't pull out the GCF. So he didn't factor fully. In the case of 60 and 90, the GCF is 30. This is the largest shared factor between the two values. So we can pull out 30 to get
60+90 = 30*2+30*3 = 30*(2+3)

I'm basically using the distributive property in reverse. You can distribute the 30 back in and get 60+90 again. Notice how the inner stuff 2 and 3 have no factors in common other than 1. 

7 0
3 years ago
Given the sequence 7, 12, 17, 22, ...
abruzzese [7]

Answer:

option D is true.

Step-by-step explanation:

Given the sequence

7, 12, 17, 22, ...

An arithmetic sequence has a constant difference 'd' and is defined by

a_n=a_1+\left(n-1\right)d

Computing the differences of all the adjacent terms

12-7=5,\:\quad \:17-12=5,\:\quad \:22-17=5

The difference between all the adjacent terms is the same

so

d=5

as

a_1=7

Thus, the nth term of the arithmetic sequence will be:

a_n=5\left(n-1\right)+7

a_n=5n+2

Therefore, option D is true.

7 0
3 years ago
Jamal has at most $100 to spend on computer paper and printer ink for his computer. He buys 1 box of paper for $24.99. If ink ca
lions [1.4K]

Answer:

1 box of paper with 3 ink cartridges

Step-by-step explanation:

$100 total

$24.99+19.99(3)= $84.96 (4 ink cartridges would be over the allotted amount)

7 0
3 years ago
If a cone has a radius of 6 cm and the height of 18 cm what is it's volume ?
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The volume is V≈678.58cm³
4 0
2 years ago
The function M(s) = 225 + 0.65s represents the material cost of manufacturing gardening scissors when s scissors are produced. T
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Manufacturing Cost = M(s) + L(s) 

<span>Manufacturing Cost = 225 + 0.65s + 54 + 1.15s </span>

<span>Manufacturing Cost = 1.8s + 279</span>
8 0
2 years ago
Read 2 more answers
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