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Shtirlitz [24]
3 years ago
8

A newspaper carrier has ​$4.254.25 in change. he has sevenseven more quarters than dimes but twotwo times as many nickels as qua

rters. how many coins of each type does he​ have?
Mathematics
1 answer:
Mamont248 [21]3 years ago
8 0
If the carrier had 7 more dimes, he would have equal numbers of dimes and quarters, and twice as many nickels. His total amount would be
.. $4.25 +0.70 = $4.95.

Each group of 2 nickes, 1 quarter, and 1 dime total $0.45, so the carrier would have $4.95/0.45 = 11 such groups.

The carrier has 11 quarters, 22 nickels, and 4 dimes.
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An Investment of $10,000 yields 8% interest compounded quarterly.
Pachacha [2.7K]

An Investment of $10,000 yields 8% interest compounded quarterly.  The accumulated capital after 6 months is $10,404. The accumulated capital after 5 years is $14.859.47

From the information given;

  • The principal amount of investment = $10,000
  • Interest Rate = 8% = 0.08
  • number of times it get compounded = 4

a. we are to determine the amount of the accumulated capital after 6 months.

  • i.e. when time (t) = 6 months.

Now, using the formula for calculating the amount value of the accumulated capital:

\mathbf{A = P(1 + \dfrac{r}{n})^{nt}}

\mathbf{A = 10000(1 + \dfrac{0.08\times 1}{4})^{4 \times \frac{1}{2}}}

\mathbf{A = 10000(1.02)^2}}

A = $10,404

b. we are to determine the amount of the accumulated capital after 5 years

  • i.e. when time (t) = 5 years

\mathbf{A = P(1 + \dfrac{r}{n})^{nt}}

\mathbf{A = 10000(1 + \dfrac{0.08\times 1}{4})^{4 \times 5}}

\mathbf{A = 10000(1.02)^20}}

A = $14859.47

Therefore, we can conclude that the accumulated capital after 6 months is $10,404 and the accumulated capital after 5 years is $14859.47

Learn more about compound  interest here:

brainly.com/question/14295570?referrer=searchResults

5 0
3 years ago
3. You have 3 consecutive numbers, with the smallest number n.
mr Goodwill [35]
SU RE sorry okay 20 so so
3 0
3 years ago
What step is wrong -12=4(f-6) step 1 12=4f step 2 4=f step 3
kirza4 [7]

Answer:

Step(iii)

The value of 'f' = 3

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given  - 12 = 4(f-6)

 Multiply  

          - 12 = 4 f - 24

<u><em>Step(ii):-</em></u>

- 12 = 4 f - 24

Adding '12' on both sides, we get

- 12 + 12 = 4 f - 24 + 12

     0 = 4 f - 12

     4f - 12 =0

    4 f = 12

<u><em>Step(iii):</em></u>-

Dividing   '4' on both sides, we get

    f = 3

3 0
3 years ago
I need help, I will put as brainiest 15 points. pls help
lidiya [134]

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 382.5

Explanation:

450 x .85 = 382.5

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

8 0
3 years ago
Simplify the expression<br>(-2xyz^4)^2​
Delicious77 [7]

Answer

4x^2y^2z^8

Step-by-step explanation:

Just apply the exponent rule (-a)^n=a^n

7 0
3 years ago
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