you save $15000. you place one third in a savings account earning 4.6% apr compounded annually. you then invest one quarter of the remaining balance in a 3 year u.s treasury bond earning 5.2 apr compounded annually and the rest in a stock plan. your stock plan increases in value 3% the first year decrease 8%in value the second year and increases 6% in value in the third year. what are the balances for each account by the end of the third year and the total gain in your original saved amount

Answers

Answer 1

Answer:

Given initial savings are 15,000 dollars.

It says to place one-third in an account with 4.6% APR compounded annually. So we invest $5,000 in this account.

Amount after 3 years = 15000(1+0.046)³ = 17,166.68 dollars.

Remaining Balance = 15,000 - 5,000 = 10,000 dollars.

It says to place one-quarter of the remaining balance into 3-year bond with 5.2% APR compounded annually. So we invest $2,500 in this bond.

Bond's value after 3 years = 2500(1+0.052)³ = 2,910.63 dollars.

Remaining Balance = 10,000 - 2,500 = 7,500 dollars.

It says to invest rest in a stock that increases in value 3% the first year; decrease 8% in value the second year; and increases 6% in value in the third year.

Stock's value after 3 years = 7500×(103%)×(92%)×(106%) = 7500 x 1.03 x 0.92 x 1.06 = 7,533.42 dollars.

Total amount after 3 years = Saving Account + Bond value + Stock value = 17,166.68 + 2,910.63 + 7,533.42 = 27,610.73 dollars.

Total Gain in the original savings = 27,610.73 - 15,000 = 12,610.73 dollars

Answer 2

Answer: 100 dollars a day because when u do the math u see that the division is th key

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What is 9x-2?????????????

Answers

Answer:

If you mean 9 x -2 it's -18

Step-by-step explanation:

What angle during the first revolution will have the same sin value as 20.5 degrees? Enter only a number.

Answers

Answer:

159.5 degrees

Step-by-step explanation:

The supplement of an angle has the same sine value as the angle.

Need help please, does any one know how to do this

Answers

Answer:

(6-u)/(2+u)
8/(u+2) -1
-u/(u+2) +6/(u+2)

Step-by-step explanation:

There are a few ways you can write the equivalent of this.

1) Distribute the minus sign. The starting numerator is -(u-6). After you distribute the minus sign, you get -u+6. You can leave it like that, so that your equivalent form is ...

(-u+6)/(u+2)

Or, you can rearrange the terms so the leading coefficient is positive:

(6 -u)/(u +2)

2) You can perform the division and express the result as a quotient and a remainder. Once again, you can choose to make the leading coefficient positive or not.

-(u -6)/(u +2) = (-(u +2)-8)/(u +2) = -(u+2)/(u+2) +8/(u+2) = -1 + 8/(u+2)

8/(u+2) -1

Of course, anywhere along the chain of equal signs the expressions are equivalent.

3) You can separate the numerator terms, expressing each over the denominator:

(-u +6)/(u+2) = -u/(u+2) +6/(u+2)

4) You can also multiply numerator and denominator by some constant, say 3:

-(3u -18)/(3u +6)

You could do the same thing with a variable, as long as you restrict the variable to be non-zero. Or, you could use a non-zero expression, such as 1+x^2:

(1+x^2)(6 -u)/((1+x^2)(u+2))

A city currently has 31,000 residents and is adding new residents steadily at the rate of 1200 per year. If the proportion of residents that remain after t years is given by S(t) = 1/(t + 1), what is the population of the city 7 years from now?

Answers

Answer:

Population of the city after 7 years from now, P(7) = 6370

Given:

Initial Population, $P_(i) = 31000$

rate, r(t) = 1200 /yr

S(t) = [/tex]\frac{1}{1 + t}[/tex]

Step-by-step explanation:

Let the initial population be $P_(i) = 31000$

The population after T years is given by the equation:

$P(T) = P_(i)S(T) + \int_(0)^(T)S(T - t)r(t) dt$ (1)

Thus, the population after 7 years from now is given by using eqn (1):

$P(7) = (3100)/(1 + 7) + 1200\int_(0)^(7)(1)/(8 - t) dt$

$P(7) = 3875 - 1200ln(8 - t)|_(0)^(7)$

$P(7) = 3875 - 1200(ln(1) - ln(8))$

$P(7) = 3875 + 2495 = 6370$

A. 11.1
B. 6.7
C. 13
D. 4.1

Answers

Answer:

C.13

LineAE&LineADhavethesameinmeasurement.

Which best describes how to find an equation of the line shown?A. The slope m is rise over run, so y over x =m. Solve for Y to get y=mx.

B. The slope m is run over rise, so x over y=m. Solve for x=ym.

C. The slope m is run over rise, so x over y=m. Solve for y to get y= x over m.

D. The slope m is rise over run, so x over y=m. Solve for x to get x=ym.

Answers

Answer:

A

Step-by-step explanation:

m (slope) = rise = y = y₁ - y₁

run x x₁ - x₁

to get y = mx

therefore, the answer to the question is :

A. The slope m is rise over run, so y over x =m.

Solve for y to get y=mx.

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