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
HELP ASAP ILL GIVE U BRAINLEST
Answer:
c=0.79s
I hope this helps:
7.11/9=0.79
A 30-60-90 triangle is shown below. Find the Value of X.
Will mark brainliest
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
Which of these describes the function graphed below
Answer:
B
Step-by-step explanation:
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
Answer:
$45 * X weeks = Y money
Step-by-step explanation:
Steve’s baseball team played 33 games and won 15 of them. What percent did the team win? *
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
“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.
________________________________________________________________
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
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.
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.
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?
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
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Which Pixar characters do you think were the hardest to bring to the screen, and why?
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
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
answers for the 2 boxes
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).
ty-qy+p=r solve for y
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!
Write the equation of the line passing through the points (-7,4) and (7,2).
Answer:
y = -1/7x + 1
Step-by-step explanation:
This could be wrong. But I'm pretty sure
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?
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:
I'm stuck and I need help quick
Answer:4
Step-by-step explanation:
The square root of 9 is 3, 3 multiplied by 2 is 6, and 10 - 6 =4.
Hey, I don't want to bother anyone but could someone help me fill in the angle of x?
Answer:
x = 90°Step-by-step explanation:
diagonal line = 180 = x + 90
180 - 90 = x
90 = x
therefore, x = 90°
−9,000÷3=−3,000 What does -3,000 tell me
Answer:
Step-by-step explanation:
SEARCH IT UP!!!!!!!
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)
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:
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?
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
Answer:
-5x+5=10
-5x=10-5
-5x=5
x=-5/5
x=-1
-8t = 64
Answer:
t = ?
Answer the ? Mark pls
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!
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.
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!!!
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
Answer:
the answer is A and C
Step-by-step explanation:
yw
Given KW is perpendicular to JO, JP is perpendicular to KO, KN intersects with JP=Q. Prove that triangle OKW ~ triangle OJP
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:
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Lines N and Pare parallel. Angle M measures 126 degrees. Find the measure of angle Q.
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°
I really need help. I don’t understand
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
=0.4 × 0.3
here's a picture:D
Answer: The answer is 0.12
Step-by-step explanation:
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?
Answer:
54
Step-by-step explanation:
5*10 = 50
50 * 1.08 = 54
Simplify the expression so there is only one positive power for each base.
i hope you understand