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zavuch27 [327]
3 years ago
10

Jill estimated she would spend $50.00 a month on clothing. However, at the end of the year she discovered she actually spent $71

1.00 on clothing that year. What was her forecast error for that budget item?Hint 12 months in a year
Mathematics
1 answer:
RideAnS [48]3 years ago
5 0
50$ per month for 12 years would mean she spent only (50 x 12) 600$ per year.

She actually spent $711, her forecast was off target by (600-7111) $111.

She exceeded her budget by $111
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4400 dollars is placed in an account with an annual interest rate of 7.5%. To the nearest tenth of a year, how long will it take
Katarina [22]

Answer:

Step-by-step explanation:

The equation for the amount of money in an account after a certain amount is deposited and compounded after t years once per year is

A(t)=P(1+r)^t

Our A(t) = 33800, P = 4400, r = .075 and we are looking for t.  Filling in:

33800=4400(1+.075)^t and

33800=4400(1.075)^t

Begin by dividing both sides by 4400 to get

7.681818182=1.075^t

The only way to move that t our from its current position as an exponent is to take the natural log of both sides and follow the rules for natural logs:

ln(7.6181818182=ln(1.075)^t

The power rule of natural logs says we can move that exponent down in front, giving us:

ln(7.681818182)=t*ln(1.075)

Divide both sides by ln(1.075) to get

\frac{ln(7.61818182)}{ln(1.075)} =t

Do this division on your calculator to get

t = 28.2 years

6 0
3 years ago
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Bryan took a total of 15 quizzes over the course of 5 weeks. After attending 10 weeks of
joja [24]
Bryan will have taken 30 quizzes
5 0
3 years ago
A friend tells you that he has a cubic equation with exactly three complex roots. Determine which explanation best explains why
Ksju [112]
Complex solutions, namely roots with a √(-1) or "i" in it, never come all by their lonesome, because an EVEN root like the square root, can have two roots that will yield the same radicand.

a good example for that will be √(4), well, (2)(2) is 4, so 2 is a root, but (-2)(-2) is also 4, therefore -2 is also a root, so you'd always get a pair of valid roots from an even root, like 2 or 4 or 6 and so on.

therefore, complex solutions or roots are never by their lonesome, their sister the conjugate is always with them, so if there's a root a + bi, her sister a - bi is also coming along too.

if complex solutions come in pairs, well, clearly a cubic equation can't yield 3 only.
3 0
3 years ago
Read 2 more answers
Solve the inequality of -2/3 > z/5
patriot [66]

Answer:

\boxed{\bold{Z < \frac{-10}{3} }}

Explanation:

Simplify both sides of inequality

-2 / 3 > 1 / 5 z

Flip equation

1 / 5 z < -2 / 3

Multiply both sides by 5

(1 / 5 z) 5 < (-2 / 3) 5

Z < -10 / 3

6 0
3 years ago
Please answer if you know the solution. Thx
LenKa [72]

Answer:

the first blank is 10

and the second blank is 5

Step-by-step explanation:

5 0
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