It took Sebastian 10 years to repay a loan of $30,000, paying $296.66 per month. Jana paid off a loan for the same amount at the same interest rate in 5 years by paying $545.75 per month. How much more did Sebastian pay in interest than Jana?

Answers

Answer 1

Answer:

$2,854.2

Step-by-step explanation:

For Sebastian

It took Sebastian 10 years to repay a loan of $30,000, paying $296.66 per month.

1 year = 12 months

10 years = x

Cross Multiply

x = 10 × 12 = 120 months

He pays $296.66 monthly

Hence, the total amount he paid in 10 years =

$296.66 × 120

= $35,599.2

The loan he took was $30,000.

Hence, the interest Sebastian paid on his loan = $35,599.2 - $30,000

= $5,599.2

For Jana

Jana paid off a loan for the same

amount at the same interest rate in 5 years by paying $545.75 per month.

1 year = 12 months

5 years = x

Cross Multiply

x = 10 × 5 = 60 months

He pays $545.75 monthly

Hence, the total amount he paid in 5 years =

$545.75 × 60

= $32,745

The loan she took was $30,000.

Hence, the interest Sebastian paid on his loan = $32,745 - $30,000

= $2,745

How much more did Sebastian pay in interest than Jana?

This is calculated as:

The interest Sebastian paid - The Interest Jana paid

= $5,599.2 - $2,745

= $2,854.2

Therefore, Sebastian paid $2,854.2 more than Jana


Related Questions

-8t = 64

Answer:
t = ?

Answer the ? Mark pls

Answers

Answer:

t= -8

Step-by-step explanation:

-8t= 64

t= 64/-8= -8

hope it helps! please mark me brainliest..

thank you!! have a good day ahead

Answer:

t = -8

Step-by-step explanation:

Knowing eight times eight equals 64, I knew that is the answer. So, instead of positive eight, it would have to be negative given a negative times a negative equals a positive.

-8 x -8 = 64

I hope this helps!

Maggie has 3 quarters, Elizabeth has 5 quarters, and John has 7 quarters. If a represents $0.25, which of the followin expressions represents how much money they have altogether?​

Answers

Answer:

.375 cents Or 3.75 dollars

Step-by-step explanation:

So on each number you have a certain amount of quarters so for maggie 75 cents

and for elizabeth 1.25

and john 1.75 then add all together to get 375 cent of 3.75 dollars

Answer:

I did this question a like an hour ago is it the one that says "If q represents $0.25," because if it is the answer is 15q

Step-by-step explanation:

The line models the temperature starting at noon on an autumn day.

a. Find the y-intercept of the function.

b. What does the y-intercept represent?

please help! (i will insert a picture so you can see the graph)

Answers

Answer:

a) y-intercept (as can be seen) is 50 degrees

b) this means that, at the time the temperature began to be recorded, it was 50 degrees outside

Step-by-step explanation:

−9,000÷3=−3,000 What does -3,000 tell me

Answers

Answer:

Step-by-step explanation:

SEARCH IT UP!!!!!!!

A 30-60-90 triangle is shown below. Find the Value of X.

Will mark brainliest

Answers

Answer:

x = 5

Step-by-step explanation:

ratio of sides in a 30-60-90 triangle is  1: [tex]\sqrt{3}[/tex] : 2

to find 'x' for the triangle shown, divide the hypotenuse by 2

10/2 = 5

HELP ASAP ILL GIVE U BRAINLEST

Answers

Answer:

c=0.79s

I hope this helps:

7.11/9=0.79

3. The Statue of Liberty is 305 feet tall. Lisa has a replica that is 9 inches tall and the

length of the right arm holding the torch isi inches. How tall is the actual right arm

holding the torch?

Answers

Answer: 33.9 inches

Step-by-step explanation:

Assuming you meant to write that the length of the right arm holding the torch is 1 inch:

The statue is 305 feet tall and the replica is 9 inches tall.

If the replica's right arm is 1 inch, the actual arm will be:

= 1 * 305/9

= 33.9 inches

If right arm of replica was not 1 inch, use this answer as reference.

5(-1x+5)=10 pls help

Answers

Answer:

-5x+5=10

-5x=10-5

-5x=5

x=-5/5

x=-1

Answer: x = 3

Step by step

5 ( –1x + 5) = 10

(1) Distribute

= – 5x + 25 = 10

(2) Subtract 25 from both sides of the equation

= –5x + 25 -25 = 10 – 25

(3) Simplify

= –5x = – 15

(4) Divide both sides of the equation by the same factor

= –5x/–5 = –15/ –5

(5) Divide the number

= x = –15/–5

Answer: x = 3


Simplify the expression so there is only one positive power for each base. ​

Answers

i hope you understand

I really need help. I don’t understand

Answers

Answer:

ther is a graph along with the question right? So you need to check the y ordinate value for given X ordinate value.Meaning you need to find the point in given x-ordinate and check their y-ordinate and write in the out box.

As for the rule,there will be same relation between the X and y ordinates.You need to find the relation.

If you post the graph ,I will give you full answer

Look at the point P on the number line.
Which number lines have a point that is equal to point
P? Check all that apply.
р

Answers

Answer:

the answer is A and C

Step-by-step explanation:

yw

ty-qy+p=r solve for y ​

Answers

Answer:

[tex]\huge\boxed{y= \frac{r-p}{t-q}}[/tex]

Step-by-step explanation:

In order to solve for y in this equation, we can algebraically manipulate it to isolate y one one side of the equation.

Step 1: Subtract [tex]p[/tex] from both sides of the equation.

[tex]ty - qy + p - p = r[/tex] [tex]ty-qy=r - p[/tex]  

Step 2: Factor out the common term [tex]y[/tex] from the left side

[tex]y( t-q ) = r-p[/tex]

Step 3: Divide both sides by [tex]t-q[/tex]

[tex]\frac{y(t-q)}{t-q} = \frac{r-p}{t-q}[/tex] [tex]y = \frac{r-p}{ t-q}[/tex]

Hope this helped!

answers for the 2 boxes ​

Answers

Step-by-step explanation:

y = 4x + 3.

Therefore y = 7 + 3x

=> (4x + 3) = 7 + 3x

=> x = 4.

y = 4(4) + 3 = 19.

The solution pair is (4,19).


“z varies jointly as x and y”
1. Translate into variation statement
2. Ifz=36whenx=3andy=2,findk.
3. xis4wheny=3andz=2.Whatiszifx=8and y=6.
The area a of a triangle varies jointly as its base b and height h.
4. Express the relation as a variation statement.
5. Iftheareais15cm2whenthebaseis5cmandtheheightis6cm,
find k.
6. Ifa=65cm2whenb=10cmandh=13cm,findawhen b=8cm
and h = 11 cm.
________________________________________________________________

Answers

Answer:

urdykdgjjdtdgdmgkgdzkyjt

Answer:

1. z=kxy

2. 36=k(3)(2)

k=6 is the answer

3. 2=k(4)(3)

k= -6 is the answer

z=kxy z=(-6)(8)(6)

z= -288 is the answer

you always remember that the formula we should use is z=kxy

Lines N and Pare parallel. Angle M measures 126 degrees. Find the measure of angle Q.

Answers

Answer:

Q= 126°

Step-by-step explanation:

Using the picture given, because these are parallel lines broken by a transversal, we can say the following

M=A=Q=F

B=C=D=G

Since, for example, M and C are the same line, we can say that M+C=180 and so on.

M=Q

Q= 126°

you have an intial amount of $45 in a savings account and you deposit an equal amount into the account each week. After 5 weeks the account holds $105. Write an equation that repersents the amount y (in dollors) of money in the account after x weeks

Answers

Answer:

$45 * X weeks = Y money

Step-by-step explanation:

I'm stuck and I need help quick

Answers

Answer:4

Step-by-step explanation:

The square root of 9 is 3, 3 multiplied by 2 is 6, and 10 - 6 =4.

Which Pixar characters do you think were the hardest to bring to the screen, and why?

Answers

Pepita from coco (big flying cat). Do you seeee how colorful and detailed that thing was

Given KW is perpendicular to JO, JP is perpendicular to KO, KN intersects with JP=Q. Prove that triangle OKW ~ triangle OJP

Answers

Answer:

Proved

Step-by-step explanation:

m∠JPO  = 90  =  m∠OWK, and angle O is common between both triangles [reflexive property]. Therefore by Rule AA, ΔOKW~ΔOJP

Triangle OKW similar to triangle OJP by angle-angle or AA or ΔOKW ~ ΔOJP by AA.

What is the similarity law for triangles?

It is defined as the law to prove that the two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.

Please refer to the attached picture for the diagram.

We have:

KW is perpendicular to JO, JP is perpendicular to KO.

KN intersects with JP=Q.

From the figure:

Angle JPO =Angle OWK = 90 degrees

By using the reflexive property:

Angle O = Angle O

Thus, triangle OKW similar to triangle OJP by angle-angle or AA or ΔOKW ~ ΔOJP by AA.

Learn more about the similarity of triangles here:

brainly.com/question/8045819

#SPJ2

Which of these describes the function graphed below

Answers

Answer:

B

Step-by-step explanation:

pedro placed an order with an online nursery for 6 apple trees and 5 azaleas and the order came to $219. the next order for 3 apple tree and 4 azaleas came to $132. what was the unit cost for each apple tree and for each azalea?

Answers

X = apples trees
Y= azaleas


6x + 5y = 219
3x + 4y = 132

-2(3x + 4y = 132)
-6x - 8y = -264
6x + 5y = 219
-3y = -45
-3y/-3 = -45/-3
y = 15

6x + 5y = 219
6x + 5(15) = 219
6x + 75 - 75 = 219 - 75
6x/6 = 144/6
X = 24

The cost for each apple tree is $24 and fit each azalea is $15

The cost for each apple tree is; $24 and fit each azalea would be; $15.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Let consider X = apples trees and Y= azaleas

Therefore, the system of equation is;

6x + 5y = 219

3x + 4y = 132

Solving;

-2(3x + 4y = 132)

-6x - 8y = -264

6x + 5y = 219

-3y = -45

-3y/-3 = -45/-3

y = 15

Now substitute;

6x + 5y = 219

6x + 5(15) = 219

6x + 75 - 75 = 219 - 75

6x/6 = 144/6

X = 24

Thus, The cost for each apple tree is; $24 and fit each azalea would be; $15.

Learn more about equations here;

https://brainly.com/question/25180086

#SPJ2

The campsite costs $10 a night and you stay 5 nights. If the sales tax is 8%, how much will it cost for 5 nights with tax?

Answers

Answer:

54

Step-by-step explanation:

5*10 = 50

50 * 1.08 = 54

=0.4 × 0.3
here's a picture:D

Answers

Answer: The answer is 0.12

Step-by-step explanation:


The equation of line L, is y= 5x + 1
The equation of line L, is 2y - 10x + 3 = 0
Show that these two lines are parallel.

Answers

Answer:

Step-by-step explanation:

2y=10x-3( i arranged it to make it easier)

y=(10x-3) divided by 2

y=5x-1.5

they are parallel because they have the same gradient/slope number.

Tim wants to buy several pairs of jeans. He compares the prices at a store in his neighborhood and at an online store. He finds that a pair of jeans costs $24 at the local store. If he buys online, each pair would cost $22, and he would have to pay a shipping fee of $6 per order.

Answers

Answer:

2 orders

Step-by-step explanation:

Step one:

given data

The local store sells at $24 per pair of jeans

Cost = $24

The online store sells at $22 per pair plus a shipping fee of $6 per order

let the number of orders be x

Cost= 22+6x

For 1 order

the online store will cost

Cost= 22+6*1

Cost= 22+6

Cost= $28

For 2 orders

The local shop cost

Cost= 24*2= $48

The online store will cost

Cost= 22+6*2

the online store will cost

Cost= 22+12

Cost= $34

Hence Tim should place at least 2 orders if he wants to buy online

Answer:

# of orders is 2 ORDERS!!!

Step-by-step explanation:

I hope this helps!!!

Sarah‘s mother is 28 years older than Sarah is their combined age is 50 how old is Sarah how old is Sarah‘s mom

Answers

Answer: 39 years old

Step-by-step explanation:

First find Sarah's age.

It is said that their ages sum up to 50 and that Sarah's mother is 28 years older than Sarah.

Assume Sarah's age is x.

Sarah's mother's age would be: x + 28.

The expression would therefore be:

x + (x + 28) = 50

2x + 28 = 50

2x = 50 - 28

x = 22/2

x = 11

Sarah is 11 which means her mom is:

= 11 + 28

= 39 years old

Write the equation of the line passing through the points (-7,4) and (7,2).​

Answers

Answer:

y = -1/7x + 1

Step-by-step explanation:

This could be wrong. But I'm pretty sure

Hey, I don't want to bother anyone but could someone help me fill in the angle of x?

Answers

Answer:

x = 90°

Step-by-step explanation:

diagonal line = 180 = x + 90

180 - 90 = x

90 = x

therefore, x = 90°

Steve’s baseball team played 33 games and won 15 of them. What percent did the team win? *

Answers

Answer:

Approximately 45%.

Step-by-step explanation:

We know that Steve's team played in total 33 games. Out of the 33, they won 15 of them.

So, as a fraction of the total won over the total games, we can write:

[tex]\displaystyle\frac{15}{33}[/tex]

So, by dividing, the percent the team won is:

[tex]\displaystyle\frac{15}{33}=0.\overline{45}=0.454545...\approx0.45=45\%[/tex]

The team won approximately 45% of its games.

What is the value of the expression “two less than six times the difference of a number and five" when n =
22
16
ОООО
32
31

Answers

It’s 16 because Ik I did it before so do y worry
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