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Alborosie
2 years ago
14

Reuben and Susan each opened a savings account today. Reuben opened his account with a starting amount of 320, and he is going t

o put in 85 per month. Susan opened her account with a starting amount of 820, and she is going to put in 35 per month. write an equation that shows when both bank accounts will have the same amount of money
help fast will mark brainliest
Mathematics
1 answer:
navik [9.2K]2 years ago
3 0
X represents the amount of money added in

320+85x=820+35x


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Which polynomial function has a leading coefficient of 1 and roots (7 i) and (5 – i) with multiplicity 1? f(x) = (x 7)(x – i)(x
Nuetrik [128]

It looks like you might have intended to say the roots are 7 + i and 5 - i, judging by the extra space between 7 and i.

The simplest polynomial with these characteristics would be

f(x) = (x - (7 + i)) (x - (5 - i))

but seeing as each of the options appears to be a quartic polynomial, I suspect f(x) is also supposed to have only real coefficients. In that case, we need to pair up any complex root with its conjugate to "complete" f(x). We end up with

f(x) = (x - (7 + i)) (x - (7 - i)) (x - (5 - i)) (x - (5 + i))

which appears to most closely resemble the third option. Upon expanding, we see f(x) does indeed have real coefficients:

f(x) = (x^2 - (7^2 - i^2)) (x^2 - (5^2 - i^2)) = (x^2 - 8) (x^2 - 6) = x^4 - 14x^2 + 48

5 0
2 years ago
Need help with #11. The answer is about 13.86 years but show work please.
tangare [24]

Answer:

13.86

Step-by-step explanation:

formula for cont. compounding interest is

Amount = Principal * e^rt

in this case the principal is 5000, and the amount is 10000 (double). the rate is 5% or 0.05. and t is what we are solving for.

sub in to get:

10000 = 5000e^0.05t

2 = e^0.05t

now convert to log form.

ln 2 = 0.05t

ln 2 / 0.05 = t

punch that into your calculator and you get 13.86 years

6 0
3 years ago
PLEASE HELP PLEASE I NEED TO KNOWW
Mazyrski [523]

Answer:

35.25

Step-by-step explanation:

5 0
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Which pair of undefined terms is used to define a ray?
Kryger [21]
The answer to this problem is line segment
7 0
3 years ago
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How many pounds does 6.5 dozen cupcakes weigh?<br> • 1 cupcake = 35.3 grams
melisa1 [442]

Answer:

35.3g * 78 =2,753.4g

2,753.4g = 6.07lbs

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3 years ago
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