Ask question

Ask question

All categories

2 years ago

9

Aaron borrows $150 from his friend Austin. He has to pay the money back in 4 monthly installments. Each month he wants to pay ha

lf the amount he paid the previous month. How much should Austin pay the first month to repay the money as sched?

1 answer:

Y_Kistochka [10]2 years ago

5 0

Austin should pay $75 the first month, and 37.50 for the remaining of the 2 months

You might be interested in

Six more than 1/5 a number is 12. What is the number

suter [353]

Answer:

Step-by-step explanation:

let x be the number

6+1/5x=12

1/5x=12-6

1/5x=6

x=5*6

x=30

check: 6+(1/5*30)=6+6=12

8 0

2 years ago

Jack is trying to make extra money on his summer vacation from school. He works two different jobs, earning $9 per hour washing

Sveta_85 [38]

Answer:

$57

$9w+6d$

Step-by-step explanation:

Given that:

Earnings per hour for washing cars = $9

Earnings per hour for walking dogs = $6

Number of hours for which car washing is done = $w$

Number of hours taken for walking dogs = $d$

Earnings for $w$ hours for washing cars = Per hour earnings multiplied by number of hours = $9 $w$

Earnings for $d$ hours for walking dogs = Per hour earnings multiplied by number of hours = $6 $d$

Total earnings by both = $( $9w+6d$ )

Now, given that

Number of hours spent washing cars = 5 hours

Number of hours spent walking dogs = 2 hours

Therefore, total earnings by both = 9 $\times$ 5 + 6 $\times$ 2 = <em>$57</em>

5 0

3 years ago

Solve the given initial-value problem. the de is of the form dy dx = f(ax + by + c), which is given in (5) of section 2.5. dy dx

shutvik [7]

$\dfrac{\mathrm dy}{\mathrm dx}=\cos(x+y)$

Let $v=x+y$ , so that $\dfrac{\mathrm dv}{\mathrm dx}-1=\dfrac{\mathrm dy}{\mathrm dx}$ :

$\dfrac{\mathrm dv}{\mathrm dx}=\cos v+1$

Now the ODE is separable, and we have

$\dfrac{\mathrm dv}{1+\cos v}=\mathrm dx$

Integrating both sides gives

$\displaystyle\int\frac{\mathrm dv}{1+\cos v}=\int\mathrm dx$

For the integral on the left, rewrite the integrand as

$\dfrac1{1+\cos v}\cdot\dfrac{1-\cos v}{1-\cos v}=\dfrac{1-\cos v}{1-\cos^2v}=\csc^2v-\csc v\cot v$

Then

$\displaystyle\int\frac{\mathrm dv}{1+\cos v}=-\cot v+\csc v+C$

and so

$\csc v-\cot v=x+C$

$\csc(x+y)-\cot(x+y)=x+C$

Given that $y(0)=\dfrac\pi2$ , we find

$\csc\left(0+\dfrac\pi2\right)-\cot\left(0+\dfrac\pi2\right)=0+C\implies C=1$

so that the particular solution to this IVP is

$\csc(x+y)-\cot(x+y)=x+1$

5 0

2 years ago

Pleaze hel0 me i dont know how to do this im giving a brainliest to the first person to answer

Sliva [168]

Answer:

416m $m^{3}$

Step-by-step explanation:

Volume is found by Length x Width x Height

10.4 x 5 x 8

416

7 0

3 years ago

Read 2 more answers

Please Help<br> What is the equation of the line?

Rama09 [41]

The line doesn’t appear to be moving, so I believe it’s just y=4.

4 0

2 years ago

Read 2 more answers