indicate in standard form the equationof the line passing through the given point and having the given slopeB(6,2),m= -1

Use the compound interest formulas A=P1+

Bingel [31]

The accumulated value of an investment if the money is a. compounded semiannually; b. compounded quarterly; c. compounded monthly; d. compounded continuously is $30731.4 $ , $30785.98 $30823.14 , 30841.95

<h3>What is Interest ?</h3>

Interest is the amount received by a person as a result of investing certain amount of money for a certain period of time.

It is given that

Principal = $ 25000

Time = 3 years

Interest Rate = 7 %

The amount is given by

$\rm A = P( 1+ \dfrac{r}{n}) ^{nt}$

Compounded semiannually

n = 2

Compounded Quarterly

n = 4

Compounded Monthly

n =12

Compounded Continuously

P = P₀ $\rm e ^{rt}$

Therefore the accumulated value for

compounded Semiannually is

$\rm A = 25000( 1+ \dfrac{7}{200}) ^{2*3}$

A = $30731.4

Compounded Quarterly

$\rm A = 25000( 1+ \dfrac{7}{400}) ^{4*3}$

A = $30785.98

Compounded Monthly

$\rm A = 25000( 1+ \dfrac{7}{1200}) ^{12*3}$

A = $30823.14

Compounded Continuously

$\rm P = 25000 e ^{ 7 * 3 }$

P = $30841.95

Therefore the accumulated value of an investment if the money is

a. compounded semiannually; b. compounded quarterly; c. compounded monthly; d. compounded continuously is

$30731.4 $ , $30785.98 $30823.14 , 30841.95

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5 0

2 years ago

Write the equation of the line that has a slope of 2 and passes through the point (-3,4).

Arte-miy333 [17]

Answer:

y = 2x + 10

Step-by-step explanation:

We are given the slope of the line and the coordinates of one point on the line. Thus, we use the point-slope formula y - k = m(x - h). Here m = 2, h = -3 and k = 4. Therefore we have:

y - 4 = 2(x + 3)

which can be rewritten as y = 2x + 6 + 4, or y = 2x + 10 (Answer D)

4 0

2 years ago

$ 425 is what percent more than $125 ?

Komok [63]

Answer:

240%

Step-by-step explanation:

100 x (425 - 125) / 125

3 0

2 years ago

Question 31 (Essay Worth 5 points)

slega [8]

Answer:

-12

Step-by-step explanation:

ds/dt = d/dt ( 1-12 t)

ds/dt = -12

When t=2

ds/dt = -12

7 0

2 years ago

A pilot can travel for 140 miles with the wind in the same amount of time as 360 miles against the wind. Find the speed of the w

quester [9]

Answer:

-88 mph

Step-by-step explanation:

We can use the relation ...

time = distance/speed

to compare the times in the two directions.

$\dfrac{140}{200+w}=\dfrac{360}{200-w}\\\\140(200-w)=360(200+w)\\\\200(140-360)=w(360+140)\\\\w=\dfrac{200(-220)}{500}=-88 \quad\text{miles per hour}$

The wind speed is -88 miles per hour.

_____

The problem statement tells us the travel is slower <em>with</em> the wind than <em>against</em> the wind. Hence "with the wind" must be subtracting from the net speed. That is, the wind speed is negative.

4 0

3 years ago