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3 years ago

How long will it take to earn $568.75 in interest if $2500 is invested at a 6.5% annual interest rate

2 answers:

8 0

3.5 years (so 4 years)
2500×0.065 (this gets the amout earned per year) =162.5
568.75÷162.5 (how many years to get the desired amount) =3.5

Goshia [24]3 years ago

7 0

I = Prt
568.75 = 2500(0.065)(t)
568.75 = 162.5(t)
3.5 = t

It will take 3.5 years to earn $568.75 in interest

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3 years ago

Find a symbolic representation for f ^-1(x).

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y = (9x) ^ (1/3)

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3 years ago

find the coordinates of point Z that splits the segment XY located 3/7 of the way between X(-2,1) and Y(4,5)

Drupady [299]

Answer:

Z(-0.2, 2.2).

Step-by-step explanation:

We will use section formula when a point, say P, divides any segment ,say AB, internally in the ratio m:n.

$[x=\frac{mx_2+nx_1}{m+n}, y= \frac{my_2+ny_1}{m+n}]$

We have been given the points of segment XY as X at (-2,1) and Y at (4,5) and ratio is 3:7.

$(x_1, y_1)=(-2,1)$

$(x_2, y_2)=(4,5)$

$m:n=3:7$

Upon substituting coordinates of our given points in section formula we will get,

$[x=\frac{(3*4)+(7*-2)}{3+7}, y= \frac{3*5+7*1}{3+7}]$

$[x=\frac{12-14}{10}, y= \frac{15+7}{10}]$

$[x=\frac{-2}{10}, y= \frac{22}{10}]$

$[x=-0.2, y= 2.2]$

Therefore, coordinates of point Z will be (-0.2, 2.2).

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3 years ago

What is the common difference of the sequence 7, 13, 19, 25....

stellarik [79]

The common difference is 6

Step-by-step explanation:

Given sequence is:

7, 13, 19, 25....

The common difference is the difference between consecutive terms of an arithmetic sequence.

Here,

$a_1 = 7\\a_2 = 13\\a_3 = 19\\a_4 = 25\\d = a_2-a_1 = 13-7 = 6\\d = a_3 - a_2 = 19-13 = 6\\d = a_4-a_3 = 25-19 = 6$

Hence,

The common difference is 6

Keywords: Arithmetic sequence, Common difference

Learn more about arithmetic series at:

#LearnwithBrainly

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4 years ago

39. Kate recorded the time it took six children of

scZoUnD [109]

Answer:

$y=-11x+261$

Step-by-step explanation:

As you can observe in the image attached, the line that best fits passes through point B and C. That means we can use those point to find the slope of such line.

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Where $B(11,137)$ and $C(12,126)$

$m=\frac{126-137}{12-11}=-11$

So, the slope of the line that best fits is -11, approximately.

Now, we use the point-slope formula to find the equation.

$y-y_{1} =m(x-x_{1} )\\y-137=-11(x-11)\\y=-11x+124+137\\y=-11x +261$

Therefore, the line that best fits is $y=-11x+261$ approximately.

Remember, when we estimate a line for some data on a scatterplot, we are calculating an approximation, that's why we also said "approximately", because the line is an approximation where the majority of point meet.

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3 years ago