Answer:
Difference in total payback = $5734.64
Step-by-step explanation:
Formula for the simple interest payout,
Interest = [tex]\frac{P\times r\times t}{100}[/tex]
P = Principal amount of loan
r = rate of interest (Annually)
t = Duration for the payment
Interest = [tex]\frac{18000\times 14.5\times 5}{100}[/tex]
= $13050
Total payable amount = 18000 + 13050
= $31050
Formula for the amount payable with compound interest,
Final amount = [tex]\text{Initial amount}(1+\frac{r}{n})^t[/tex]
Here, t = Duration of investment
r = rate of interest (Annual)
n = Number of compounding per year
Payable amount = [tex]18000(1+\frac{0.089}{1})^4[/tex]
= 18000(1.089)⁴
= $25315.36
Difference in total payback = $31050 - $25315.36
= $5734.64
If Lucas takes the 5-year payment plan he will end up paying $31,050. If Lucas takes the 4-year payment plan he will end up playing $24,408. Hope it helps.
tell me 3 mathematical things that you know in relation to geometry
Answer:
Dilations which reduce or enlarge an object. Translations which move the object from one part on the graph to another. I have also learned about how to construct a perpendicular bisector.
Step-by-step explanation:
====================================
Geometry is a branch of mathematics that studies the sizes, shapes, positions angles and dimensions of things.====================================
--> Actually, Flat shapes like squares, circles, and triangles are a part of flat geometry and are called 2D shapes.
These shapes have only 2 dimensions, the length and the width.
( based on what i know )
7. Find CE.
X-50
B
D
2x + 3
E
Answer:
15x is the answer ihope this helps:j
If you left a $25.00 on your table for a $21.50 meal, what was the percent of the tip?
Answer:
It was a 16.5% tip!
Please mark brainliest and I hope this answer helped :)
In the last 4 seasons, Luis scored 14,18, 15, and 25 goals. How many goals does he need to score this year, to end the season with an overall average of 20 goals per season? O A. 29 O B. 27 O C. 30 O D. 28
Answer:
28
Step-by-step explanation:
For Luis to get a mean of 20 he would need:
14 + 18 + 15 + 25 + x (unknown number of goal he needs) / 5 = 20
Therefore 14 + 18 + 15 + 25 + x = 100
Solve for x to get 28
find the value of given expression
[tex] \sqrt{258 \times 258} [/tex]
Answer:
258
Step-by-step explanation:
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
Answer:
√{258×258}=√258²=258 is your answer
Simplify.
410
44
QU
4-6
Ob
16
ос
44
Od
46
ID
Don't know
Answer:
4⁶
Step-by-step explanation:
10 - 4 = 6
Solve 3/4x+1/4y=5 for y
Answer:
y=3x+20
Step-by-step explanation:
So first, I don't like fractions so I would multiply the whole equation by 4. This will make the equation 3x+y=20. Then you have to isolate the y to find the answer so you should subtract 3x from both sides. This will make the equation look like this y=-3x+20. Therefore, y=3x+20
The planet Venus has an average distance from the Sun of about 67,200,000 miles. Write this number in scientific notation
Answer:
6.72x10^7
Step-by-step explanation:
I hope this helps
PLEWhat is the simplified form of
V45?
A. v5
B. 9.5
C. 3V5
D. 573
i really need help on this question!!!!
Answer:
B. Point M
Step-by-step explanation:
Point N (-4, 2) is 4 units away from the y axis, going left
Point M (-4, -2) is also 4 units away from the y axis, going left
Erika decided to compare her observations to the average annual trend, which shows the water rising 1.8 mm/year. Remember, she used 6.2 years as her time period. Explain how she would calculate the difference between how much the water level fell in the part of the river she observed.
Answer:
Change in water level over thr period Given is 11.16 mm
Step-by-step explanation:
The change in water level. In the part of the river observed will be ;
Water level. = The rate of change in water level per year * period
Rate of change in water level = 1.8mm /year
Number of years = 6.2
The change in water level is thus :
1.8 mm / year * 6.2 years
= (1.8 mm / year * 6.2
= 11.16 mm
11. Write and solve and solve an equation to find the measure of
Answer:
39
Step-by-step explanation:
29+112= 141 180-141=39
Need help so confusing whats the answer
no spam
Answer:
Volume of the cone V》1570 cm^3
Volume of the hemisphere V》4186.67cm^3
Volume of the entire figure V》5756.67cm^3
hope it helps...
hope it helps...have a great day !!
Line segment t and line segment r are parallel. Both line segments are reflected across the y-axis to form line segments t' and r'.
Enter the distance, in units, between line segments t' and r'.
units
Answer:/
I,,,,M SORRYI NEED POINTSSS
Step-by-step explanation:
Solve for X (In the Diagram)
Hope y'all are having a good day!!
Answer:
C: 10
Step-by-step explanation:
I multiplied the two of them. And that triangle is 90 degrees
Help me please please
How long is side c ?
Answer:
you do pythagorean theorem
Step-by-step explanation:
the base is 8 and the side length is 6 so you do 8²+6²
8²=64 +6²=36
64+36=100 you have to square 100 which is 10
C=10
find the surface area/volume for each
Answer:
goodjob
Step-by-step explanation:
Trisha borrowed money from her mom to buy a skateboard plus safety gear. She paid back a little bit of money every week.
After 3 weeks she owed her mom $281. After 8 weeks, she owed her mom $166. Let y represent the amount she owes her mom and x represent the number of weeks she has been paying her debt.
Write an equation in slope-intercept form to represent how much she owes her mom after x weeks.
y=
How much money is Trisha paying her mom each week? $
How long will it take Trisha to pay off her debt?
weeks (answer in whole weeks)
Answer:
y==$281+$166=$447
in 11 weeks she pay $ 447
in 1 weeks she pay $447/11=40.6$
she paid off in 3+8=11 weeks
I am not sure
Answer:
Thanks for the points it feels really nice to help others
Step-by-step explanation:
CAN SOMEONE PLEASE HELP I WILL GIVE 50 POINTS
Answer:
yes I will help you just give the question
Is 1.4, 4.8, 5 a right triangle?
Answer:
Yes it is possible
Step-by-step explanation:
Without solving determine the number of real solutions for each quadratic equation
b^2-4b+3=0
2n^2 + 7 = -4n + 5
x - 3x^2 = 5+ 2x - x^2
Answer:
Complete the square to determine the number of solutions#1
b² -4b + 3 = 0b² - 4b + 4 = 1(b - 2)² = 1Two solutions#2
2n² + 7 = -4n + 52n² + 4n + 2 = 0n² + 2n + 1 = 0(n + 1)² = 0One solution#3
x - 3x² = 5 + 2x - x²3x² - x² + 2x - x + 5 = 02x² + x + 5 = 0x² + x² + 2*1/2x + 1/4 + 4 3/4 = 0x² + (x + 1/2)² + 4 3/4 = 0No solutionsAnswer:
b^2-4b+3=0
b²-3x-b+3=0
b(b-3)-1(b-3)=0
(b-3)(b-1)=0
either
b=3 or b=1
.
2n^2 + 7 = -4n + 5
2n²+4n+7-5=0
2n²+4n+2=0
2(n²+2n+1)=0
(n+1)²=0/2
:.n=-1
.
x - 3x^2 = 5+ 2x - x^2
0=5+ 2x - x^2-x +3x^2
0=5+x+2x²
2x²+x+5=0
comparing above equation with ax²+bx +c we get
a=2
b=1
c=5
x={-b±√(b²-4ac)}/2a ={-1±√(1²-4×2×5)}/2×1
={-1±√-39}/2
What is the area of the trapezoid?
9 yd
8 yd
13 yd
Answer:
area = 88 yd²
Step-by-step explanation:
area = 1/2(b1 + b2)h = 1/2(9 + 13)(8) = 88 yd²
Answer:
88 yd^2.
Step-by-step explanation:
Area of a trapezoid = 1/2 * h * (a + b) where h = height, a and b are lengths of 2 parallel side.
Area = 1/2 * 8(9+13)
= 4 * 22
= 88 yd^2.
I WILL GIVE BRAINLIEST!!!
Answer:
C
Step-by-step explanation:
The area is calculated as width × length , that is
[tex]\frac{50\sqrt{3} }{\sqrt{2} }[/tex] × [tex]\frac{80\sqrt{5} }{\sqrt{3} }[/tex] ( cancel [tex]\sqrt{3}[/tex] on numerator/ denominator
= [tex]\frac{50}{\sqrt{2} }[/tex] × 80[tex]\sqrt{5}[/tex]
= [tex]\frac{4000\sqrt{5} }{\sqrt{2} }[/tex]
To rationalise the denominator multiply numerator/denominator by [tex]\sqrt{2}[/tex]
= [tex]\frac{4000\sqrt{6} }{\sqrt{2} }[/tex] × [tex]\frac{\sqrt{2} }{\sqrt{2} }[/tex]
= [tex]\frac{4000\sqrt{10} }{2}[/tex]
= 2000[tex]\sqrt{10}[/tex] → C
Answer: The answer is C!
Step-by-step explanation:
Hope this helps, can I please have brainliest?
A school has 1200 students 1/3 are in the upper school. 2/5 in the middle school and the remainder in lower school. How many students are in lower school?
Answer:
257 students in the lower school
Step-by-step explanation:
you want to make the fractions have an equal denominator so make 1/3 5/15s and 2/5 to 6/15's, 5+6= 11/15s that leaves 4/15's for the lower part of the school
4 divided by 15 is 4.6 repeating so divide 1200 by 4.66 and boom
f varies inversely as the square of d. When d=2, f = 6. Find d when f is 1.5
Answer:
d = 4
Step-by-step explanation:
Given f varies inversely as d² then the equation relating them is
f = [tex]\frac{k}{d^2}[/tex] ← k is the constant of variation
To find k use the condition when d = 2, f = 6 , then
6 = [tex]\frac{k}{2^2}[/tex] = [tex]\frac{k}{4}[/tex] ( multiply both sides by 4 )
24 = k
f = [tex]\frac{24}{d^2}[/tex] ← equation of variation
When f = 1.5 , then
1.5 = [tex]\frac{24}{d^2}[/tex] ( multiply both sides by d² )
1.5d² = 24 ( divide both sides by 1.5 )
d² = 16 ( take the square root of both sides )
d = [tex]\sqrt{16}[/tex] = 4
Harriet is cultivating a strain of bacteria in a petri dish, she has 10^3 bacteria in the dish. The bacteria divided every two hours such that the number of bacteria has doubled by the end of every second hour. How many bacteria will Harriet have in the dish at the end of 6 hours?
Answer:
4000
Step-by-step explanation:
A=P(2)^(t/d)
A=future amount
P=starting amount
t=time elapsed
h=doubling time
given
P=10^3
t=6
d=2
A=10^3(2)^(6/2)
A=10^3(2)^2
A=10^3(4)
A=4*10^3
A=4000
4000 bacteria
Solve each equation and check your answer.
2x + 4(3-2x) =
3(2x + 2)
+4
6
X =
Please help
Write a real world problem for: 80-3x=53
Answer:
Sam had 80 dollars in his pocket. He was feeling generous, so he handed out equal amount of money to each of his friends. After he handed out the money, he had 53 dollars left. How much did Sam give out to each one of his friends?
Step-by-step explanation:
In this real-world problem, the money he had at the beginning resembles the 80 in the equation. The -3x is the money he gives out to each of his friends. The 53 on the right-hand side is the money he has left after he gives the money away.
Can someone help me with this. Will Mark brainliest.
Answer:
y - 9 = -3/2 (x - 6)
Step-by-step explanation:
Equation of line: 4x - 6y - 15 = 0
Equation of perpendicular line: bx - ay + k = 0
= -6x - 4y + k = 0 → (equation 1)
Since the equation passes through (6,9)
-6(6) - 4(9) + k = 0
-36 -36 + k = 0
-72 + k = 0
k = 72
Substituting the value of in equation 1,
∴ Equation of perpendicular line = -6x -4y + 72 = 0
dividing by -2,
3x + 2y - 36 = 0
This equation is the simplified version of Option 1.
y - 9 = -3/2 (x - 6)
y - 9 = (-3x + 18)/2
2y - 18 = -3x + 18
3x + 2y - 36 = 0