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3 years ago

The amount of interest accrued on a $7,000 loan with 6% interest after t years.

Mathematics

1 answer:

Misha Larkins [42]3 years ago

6 0

Answer:

$420t

Step-by-step explanation:

Given data

Principal= $7000

Rate= 6%

Time= t years

The expression for the amount is

Simple interest= PRT/100

Sustitute

Simple interest= 7000*6*t/100

Simple interest= 42000t/100

Simple interest= 420t

Hence the amount after t years is $420t

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In Exercise, find the derivative of the function.<br> y = 3ex - xex

nevsk [136]

Answer:

the question is incomplete, the complete question is "find the derivative of the function $y=3e^{x}-xe^{x}$ "

answer: $\frac{dy}{dx}=(2-x)e^{x}$ .

Step-by-step explanation:

From the equation, $y=3e^{x}-xe^{x}$ , we approach the question using the differentiation of a product and differentiation of a sum simultaneously,

the differentiation of a sum is express as

f(x)=u(x)+v(x)+.....w(x) then

$\frac{df(x)}{dx}=\frac{du(x)}{dx}+\frac{dv(x)}{dx}+...\frac{dw(x)}{dx}.\\$

For the differentiation of a product we have

f(x)=u(x)v(x), then

$\frac{df(x)}{dx}=\frac{dv(x)}{dx}u(x)+\frac{du(x)}{dx}v(x)$

hence if we go by the formula we arrive at

for $y=3e^{x}$

let u(x)=3 hence du/dx=0 and

$v(x)=e^{x}$ and $\frac{dv(x)}{dx}=e^{x}$

hence $\frac{dy}{dx}=3e^{x}+0e^{x}\\\frac{dy}{dx}=3e^{x}---equation 1\\$

Also for $y=-xe^{x}\\\frac{dy}{dx}=-e^{x}-xe^{x}---equation 2$ .

if we add equation 1 and equation 2 we arrive at

$\frac{dy}{dx}=3e^{x}-e^{x}-xe^{x}\\\frac{dy}{dx}=(3-1-x)e^{x}\\\frac{dy}{dx}=(2-x)e^{x}$ .

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3 years ago

A telephone pole is supported by two wires on opposite sides. At the top of the pole, the wires together form an angle of 60o .

WARRIOR [948]

Im not doing math scoile studies

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3 years ago

A train traveling nonstop to its destination is able to make the trip at an average speed of 70 miles per hour. On the return tr

larisa86 [58]

Answer:

Return trip travel time: 7h

Step-by-step explanation:

Let d be the distance.

Index 1 refers to initial trip, index 2 refers to the return trip.

v1=70mi/h

v2=40mi/h

t2=t1+3h, or t1=t2-3h (travel times)

d=v1×t1=v2×t2

v1×(t2-3)=v2×t2

v1 t2 -3 v1=v2 t2

v1 t2 - v2 t2=3 v1

t2(v1-v2)=3v1

t2=3v1/(v1-v2)

t2=3×70/(70-40)=3×70/30=7h

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3 years ago

Need help with these 2 questions

posledela

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The dot plot below shows the hourly rate of some babysitters:

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4 babysitters earn $6 or more per hour because 3 earn $6 and 1 earn $7. The others all earn $5 or less per hour.

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