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Arlecino [84]
1 year ago
14

They work-infested $18,000 into accounts, one yielding 4% interest and the other yielding 12%. If he received a total of $1,280

and interest at the end of the year, how much did he invest at 4%?​
Mathematics
1 answer:
lakkis [162]1 year ago
3 0

Answer:

<u>$11,000</u>

Step-by-step explanation:

Let amount invested for 12% yield be <em>p . </em>Amount for 4% yield is therefore (<em>18000-p)</em>

Interest for 12%:<em> 12% of p=0.12p</em>

Interest for 4%: <em>4% of </em>(<em>18000-p)=0.04(18000-p)=720-0.04p</em>

Total interest:

<em>=0.12p</em> + (<em>720-0.04p)</em>

<em>=0.12p-0.04p+720</em>

<em>=0.08p+720</em>

But we already know the total interest is 1280

Therefore: <em>0.08p+720=1280</em>

<em>0.08p=1280-720</em>

<em>0.08p=560</em>

<em>p=560÷0.08</em>

<em>p=7000</em>

Therefore at 4% the person invested:

(<em>18000-p)</em>

<em>18000-7000</em>

<em>$11,000</em>

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70

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3 years ago
A license plate is to consist of 5 digits followed by 5 uppercase letters. Determine the number of different license plates poss
EastWind [94]

Answer:

5.3044992\times 10^{10}

Step-by-step explanation:

We are given that a license plate consist of 5 digits and 5 uppercase letters

Digits used=0,1,2,..9

Total number of letters=26

Repetition is not allowed

Total number of odd digits=(1,3,5,7,9)=5

The first place filled by 5

Second place filled by 4

Third place filled by 8

Fourth place filled by 7

Fifth place filled by 6

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Seventh place filled by 25

Eighth place filled by 24

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Total number of possible  different license plates =5\times 4\times 8\times 7\times 6\times 26\times 25\times 24\times 23\times 22=5.3044992\times 10^{10}

7 0
3 years ago
Please help me ASAP
V125BC [204]
I'd say it's "convergent and doesn't have a sum"

because it's multiplying by 3 to get every new number and switching between ± after every new number. there is no sum because it's an infinite series.
8 0
3 years ago
Pls help me to answer this​
Flauer [41]

Answers:

T-shirt = $25

Shorts = $15

Books = $50

Shoes = $30

Cell phones = $750

===============================================

Explanation:

Taking 10% of a number is simply moving the decimal point over one spot to the left.

For example, the selling price of a t-shirt is $250.00 and taking 10% of this gets us to $25.00

As another example, 10% of 150.0 is 15.0

If a whole number ends with a 0, then taking 10% of the number means we chop that zero off.

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<em><u>C. Multiply by the reciprocal</u></em>

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8 0
3 years ago
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