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Montano1993 [528]
3 years ago
12

What is the sum of this sequence 1+3+5+7+...+999

Mathematics
1 answer:
erma4kov [3.2K]3 years ago
4 0

Answer:

250,000

Step-by-step explanation:

the equation of this arithmetic sequence is 1 + 2n

1 + 2n = 999

2n = 998

n  = 499

\mathrm{\sum _{n=0}^{499}1+2n} = 250,000

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129=10(12)+9

So 273_{10}=1a9_{12}, since

273=1\cdot144+10\cdot12+9\cdot1=1\cdot12^2+10\cdot12^1+9\cdot12^0
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Jill says that 1 2/3 equals 3:5 is Jill correct
Reika [66]

Answer:

<em>Not true. Actually, 1 2/3 equals 5/3.</em>

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An investor invested a total of $2,800 in two mutual funds. One fund earned 5% profit while the other earned 3% profit. If the i
Natasha_Volkova [10]

Answer:

The amount invested in the mutual fund that earned 5% was $1,000

The amount invested in the mutual fund that earned 3% was $1,800

Step-by-step explanation:

Let

x ----> the amount invested in the mutual fund that earned 5%

y ----> the amount invested in the mutual fund that earned 3%

we know that

x+y=2,800 ----> y=2,800-x ----> equation A

5\%=5/100=0.05

3\%=3/100=0.03

0.05x+0.03y=104 ----> equation B

Solve the system by substitution

substitute equation A in equation B

0.05x+0.03(2,800-x)=104

Solve for x

0.05x+84-0.03x=104

0.05x-0.03x=104-84

0.02x=20

x=\$1,000

<em>Find the value of y</em>

y=2,800-x

y=2,800-1,000=\$1,800

therefore

The amount invested in the mutual fund that earned 5% was $1,000 and the amount invested in the mutual fund that earned 3% was $1,800

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Answer:

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Step-by-step explanation:

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Answer:

50 grams

Step-by-step explanation:

Let the amount of cheese required by the recipe be "x"

Ann increased 60% from original amount and then used up 80 grams. Thus:

<em>Original, increased by 60%, became 80</em>

<em />

This translated to algebraic equation would be:

x + 0.6x = 80

<u>Note:</u>  60% = 60/100 = 0.6

So we can solve the above equation for "x" and get our answer. Shown below:

x + 0.6x = 80\\1.6x=80\\x=\frac{80}{1.6}\\x=50

Hence,

the recipe required 50 grams of cheese

6 0
3 years ago
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