Ask question

Ask question

All categories

3 years ago

13

Carlos borrowed $4000 from a lender that charged simple interest at an annual rate of 7%. When Carlos paid off the loan, he paid

$560 in interest. How
was the loan for, in years?

1 answer:

Tresset [83]3 years ago

7 0

Answer:

it was 2 years

Step-by-step explanation:

4000*7%= 280

280 for a year

280x=560

x= 2

You might be interested in

6. A tank contains 100-gallon of pure water. At time t = 0, a solution containing 2 lb of salt per gallon flows into the tank at

SOVA2 [1]

Answer:

The answer is below

Step-by-step explanation:

Let Q represent the amount of salt in the tank at time t.

$\frac{dQ}{dt}= flow\ in - flow\ out\\ \\flow\ in=3\ gal/min*2\ lb/gal=6\ lb/min\\\\net\ gain\ in\ tank\ volume=3-4=-1, henceflow\ out= \frac{4Q}{100-t} \\\\\frac{dQ}{dt}= 6-\frac{4Q}{100-t} \\\\\frac{dQ}{dt}+ \frac{4Q}{100-t}=6\\\\The \ integrating\ factor\ is:\\\\IF=e^{\int\limits {\frac{4}{100-t} } \, dt }=e^{-4\int\limits {\frac{-1}{100-t}}=e^{-4ln(100-t)}=(100-t)^{-4}}\\\\Multiplying\ through \ by\ IF: \\\\(100-t)^{-4}\frac{dQ}{dt}+ (100-t)^{-4}\frac{4Q}{100-t}=6(100-t)^{-4}\\\\$

$Integrating:\\\\A(100-t)^{-4}=-2(100-t)^{-3}+c\\\\A=-2(100-t)+\frac{c}{(100-t)^{-4}} \\\\at, t=0,A=0\\\\0=-2(100-0)+\frac{c}{(100-0)^{-4}}\\\\c=0.02\\\\A=-2(100-t)+\frac{0.02}{(100-t)^{-4}}$

7 0

3 years ago

PLS BELP IM JUST CONFUSED

Ganezh [65]

Answer:

(0, 3)

Step-by-step explanation:

The y-intercept of any function can generally be defined as: $(0, f(0))$ , since the y-intercept is when the function crosses the y-axis.

Anywhere on the y-axis, the x-value = 0, so the x value of the y-intercept will always be 0, and the y value is f(0), since x=0.

By looking at the graph it appears to intercept the y-axis at (0, 3) which should be the answer

4 0

1 year ago

Help someone plzzzzzzz

mafiozo [28]

The answer to the problem is
y=1/2x

3 0

3 years ago

Read 2 more answers

How to decrease £840 by 5%

anastassius [24]

To get the amount you need to subtract from 840, just turn 5% into a decimal, which is 0.05, then just multiply 0.05 by 840 and subtract that number from 840

4 0

3 years ago

Read 2 more answers

A shop sells bagels for $5 per dozen.

mylen [45]

You haven’t specified what you want us to answer, so please leave a comment and I’ll try and answer you.

5 0

3 years ago