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Masja [62]
3 years ago
5

Bob currently has $1,000 in a saving account he saves $25 per month he saves the same amount each month and does not take any mo

ney out of the account and how many months will boris have 1,450
Mathematics
1 answer:
erastova [34]3 years ago
4 0
In 18 months he will have 1450
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Two workers finished a job in 12 days. How long would it take each worker to do the job by himself if one of the workers needs 1
Lorico [155]

Two workers finished a job in 7.5 days.

How long would it take each worker to do the job by himself if one of the workers needs 8 more days to finish the job than the other worker?

let t = time required by one worker to complete the job alone

then

(t+8) = time required by the other worker (shirker)

let the completed job = 1

A typical shared work equation

7.5%2Ft + 7.5%2F%28%28t%2B8%29%29 = 1

multiply by t(t+8), cancel the denominators, and you have

7.5(t+8) + 7.5t = t(t+8)

7.5t + 60 + 7.5t = t^2 + 8t

15t + 60 = t^2 + 8t

form a quadratic equation on the right

0 = t^2 + 8t - 15t - 60

t^2 - 7t - 60 = 0

Factor easily to

(t-12) (t+5) = 0

the positive solution is all we want here

t = 12 days, the first guy working alone

then

the shirker would struggle thru the job in 20 days.

8 0
2 years ago
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-6a-4= -4 (1+7a) Solve for a.
soldi70 [24.7K]

Answer:

a = 0

Step-by-step explanation:

On the right side of the = multiply -4 through

- 6a - 4 =  - 4 - 28a

add 28a and add 4 to both sides

28a - 6a = 4 - 4

22a = 0

divide both sides by 22

a = 0

6 0
2 years ago
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What is 130/400 converted into percentage?
d1i1m1o1n [39]
p\%= \frac{p}{100}

\frac{130}{400}= \frac{130\div4}{400\div4}= \frac{32.5}{100}=\boxed{32.5\%}
7 0
3 years ago
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<img src="https://tex.z-dn.net/?f=.3x%5E2%2Bx%3D.1x" id="TexFormula1" title=".3x^2+x=.1x" alt=".3x^2+x=.1x" align="absmiddle" cl
ra1l [238]

Answer: i think the answer is 0, -3

Step-by-step explanation:

5 0
2 years ago
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Suppose the population of a country in 1985 was 145 million. In 1995 it was 190 million. Use the formula P = Ae kt to setup an e
kondaur [170]

Answer: Option B is correct

The expression to estimate the population of the country in 2005 is given by

P=145e^{20k}\\

Step-by-step explanation:

Since we have given that

In 1985, there was population of 145 millions.

Similarly,

In 1995, there was a population of 190 million .

Use the formula,

P=Ae^{kt}\\

where A denotes the initial population and t denotes the number of years.

So, the expression becomes

P=145e^{20k}\\

∵ time period between 1985 to 2005 is 20 years.

So we take t=20 years.

So, the expression to estimate the population of the country in 2005 is given by

P=145e^{20k}\\

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3 years ago
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