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3 years ago

If it takes 5 hours to do 2/3 of a job, how long will it take to complete a job?

1 answer:

7 0

I set it up as a ratio with hours on the top and the fraction of the job on the bottom. It looks like this: 5/(2/3) / x/1, because 1 is the whole job if 2/3 is only a fraction of it. Cross multiplying gives you 2/3x = 5. Solving for x gives you that it will take 7.5 hours to complete a whole job if it takes 5 hours to complete 2/3 of it.

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If $1000 is invested at 8% interest, compounded annually, then after n years the investment is worthan = 1000(1.08)ndollars.(a)

Luba_88 [7]

Answer:

Diverge

Step-by-step explanation:

(a)

1st year: $1000 * 1.08^1 = \$1080$

2nd year: $1000 * 1.08^2 = \$1166.4$

3rd year: $1000 * 1.08^3 = \$1259.71$

4th year: $1000 * 1.08^4 = \$1360.49$

5th year: $1000 * 1.08^5 = \$1469.33$

(b) The sequence is divergent, because if we take the derivative of the function with respect to n year:

$(1000*1.08^n)^{'} = 1000ln(n)*1.08^n$

This is a positive, meaning the slope of the function is positive. If we take the second derivative using product rule

$(1000ln(n)*1.08^n)^{'} = 1000\frac{ln(n)}{n}1.08^n$

This is also positive when n > 0. Therefore, the slope is positive and increasing. This means the sequence diverges.

5 0

3 years ago

A loan of $8,000 is paid back in two years in monthly payments of $400. The percentage interest on the loan was

Serhud [2]

Answer:

Step-by-step explanation:

The number of months in two years is 24 months.

Now, with a repayment plan of $400 per month, the total amount returned will be 400 * 24 = $9,600

Now, $8,000 was borrowed but $9,600 was returned

The amount of interest is 9600-8000 = 1600

So what percentage of 8,000 is 1600?

1600/8000 * 100 = 16/80 * 100 = 1/5 * 100 = 20%

8 0

3 years ago

POSSIBLE POINTS: 16.67

Andrews [41]

Answer:

24 inches

Step-by-step explanation:

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2 years ago

Help asap for brainlist help asap

Mariana [72]

Answer:

2x^3+11x^2-43x-24

Step-by-step explanation:

desmos graphing calculator- both factors matched

8 0

2 years ago

Directed line segment DE has endpoints D(-4,-2) and E(1,8). Point F divides DE such that DF:FE is 3:2What are the coordinates of

VMariaS [17]

The Solution.

The given points are

$D(-4,-2)\text{ and E(1,8)}$

The formula is

$\frac{mx_2+nx_1}{m+n}_{},\frac{my_2+ny_1}{m+n}$

In this case,

$m=3,n=2$

Therefore,

$\begin{gathered} (\frac{mx_2+nx_1}{m+n}_{},\frac{my_2+ny_1}{m+n}) \\ =(\frac{3(1)+_{}2(-4)_{}}{3+2}_{},\frac{3(8)_{}+2(-2)_{}}{3+2}) \\ \end{gathered}$ $=(\frac{3-8}{5},\frac{24-4}{5})=(-\frac{5}{5},\frac{20}{5})$ $=(-1,4)$

Hence, the correct answer is (-1, 4) (option 3)

3 0

1 year ago