Answer:
30189.155
Step-by-step explanation:
Recall the compound interest formula :
A = P(1 + r/n)^nt
P = principal = 10000
r = rate = 3.7% = 0.037
n = quarterly = 4
t = 30
A = 10000(1 + 0.037/4)^30*4
A = 10000(1 + 0.00925) ^120
A = 10000(1.00925)^120
A = 10000 * 3.0189155
A = 30189.155
Select all equations that match the solution for this equation: 5(x - 12) = 20
60 + 20 ÷ 5
1/5(60 + 20)
(16 + 20) • 5
(16 - 12) • 5
1/5(75 - 63
Answer:
The answer is x=16 so whatever the equations should look like it should be this:
Step-by-step explanation: 5(x-12)=20 5x-60=20 add 60 to 20 and get 5x=80 x=16
Simplify the expression
Answer:
(3 x)/(5 x + 2)
Step-by-step explanation:
Simplify the following:
(3 x^2)/(5 x^2 + 2 x)
Hint: | Factor common terms out of 5 x^2 + 2 x.
Factor x out of 5 x^2 + 2 x:
(3 x^2)/(x (5 x + 2))
Hint: | For all exponents, a^n a^m = a^(n + m). Apply this to (3 x^2)/(x (5 x + 2)).
Combine powers. (3 x^2)/(x (5 x + 2)) = (3 x^(2 - 1))/(5 x + 2):
(3 x^(2 - 1))/(5 x + 2)
Hint: | Evaluate 2 - 1.
2 - 1 = 1:
Answer: (3 x)/(5 x + 2)
Answer:
The answer is [tex]\frac{3x}{5x+2}[/tex]
Step-by-step explanation:
1) Factor out the common term x.
[tex]\frac{3x^{2} }{x(5x+2)}[/tex]
2) Simplify.
[tex]\frac{3}{5x+2}[/tex]
Thereofor, the answer is Option D.
Simplify: 4r342 - 6t2r3 + 3rt - 16
Answer:
-2r3t2 + 3rt – 16
Step-by-step explanation:
Like terms have the same variables with the same exponents on each variable. Add their coefficients, and keep the same variables and exponents.
Lucas is borrowing money to purchase a vehicle. A car dealership will loan Lucas $18,000 with a simple interest rate of 14.5% applied annually, and a 5-year payout plan. The bank will loan Lucas $18,000 with a compound interest rate of 8.9% applied annually and a 4-year payout plan. What is the difference in the total payback amounts?
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.
a charm on a lucy's bracelet had the dimensions shown what is the area of the charm
Answer:
13
Step-by-step explanation:
If anyone can help I would really appreciate it!
Answer: y= 2/5 * x - 6
Step-by-step explanation:
y intercept
y= 2/5 x+b putting in the point 5,4
y=2/5 5+ b
4=10+b
b= -6
Drake produced 52 songs last year. If each new album has 15 songs on it, how many of his songs were not released on an album?
Answer:
7
Step-by-step explanation:
If each album has 15 songs, 15 * 3 = 45 so 52 - 45 = 7. Therefore, Drake produced 7 songs not in an album.
The following triangle is equilaterial triangle. Solve for the unknown variable.
Answer:
d
Step-by-step explanation:
Since the triangle is equilateral then the 3 sides are congruent, then
2x = 6 ( divide both sides by 2 )
x = 3
and
3y = 6 ( divide both sides by 3 )
y = 2
Thus x = 3 and y = 2 → d
11) Nick & John ordered burritos & tacos for lunch. Nick
ordered 3 burritos & 4 tacos for $11.33. John ordered 9
burritos & 5 tacos for $23.56. Find the cost of one
burrito & one taco.
Answer:
taco: $1.49 each
burrito: $1.79 each
Step-by-step explanation:
Let b = cost of one burrito
t = cost of one taco
(1) 3b + 4t = 11.33 (2) 9b + 5t = 23.56
Multiply (1) by -3 and add to (2) -9b - 12t = 33.99
- 7t = - 10.43
t = 1.49
3b + 4(1.49) = 11.33
3b + 5.96 = 11.33
3b = 5.37
b = 1.79
Solve the system of equations by substitution.
y=3x-10, 2x+3y=14
Its 5-3 MathXL btw
How many proportional relationships are shown in the coordinate plane below?
Choose 1 answer:
a. 0
B. 1
c.2
d.3
Answer:
0
Step-by-step explanation: i did the lesson
There are 20 boys in Mrs. Shaw’s 3rd-period class. 11 of the boys are from Benignus. What percent of the boys came from Benignus?
please hurry
6th grade math
What is the vertex of the function h(x) = (x+ 6 + 3? O A. (-6,-3) O B. (-6,3) OC. (6,3) OD. (6,-3)
Answer:
The vertex is ( -6, 3)
Step-by-step explanation:
h(x) = |x+ 6| + 3
Inside the absolute value is the h or the x coordinate of the vertex
Outside is the k or the y value of the vertex
It is in the form
h(x) = |x-h| + k where (h,k) is the vertex
h(x) = |x - -6| + 3
The vertex is ( -6, 3)
Answer:
B. (-6, 3)Step-by-step explanation:
Given function:
h(x) = |x + 6| + 3This is the translation of f(x) = |x|, 6 units left and 3 units up
So the vertex is (-6, 3)
Correct choice is B
» A group of 6 friends buy a video game that costs $60. They each
spend an equal amount of money. How much money does each
friend spend?
1» Let m stand for how much money each friend spends. Which equations
can be used to solve the problem? Choose ALL the correct answers.
m = 60 x 6
m= 60 = 6
m = 6 x 60
60 = 6 x m
Answer:
m = 60/6
60 = 6 x m
Step-by-step explanation:
A cargo plane flew from the US across the Atlantic at 280 mph, and flew back to the US at 300
mph. Given that the first trip took two hours longer, how long was the return trip?
Answer:
Step-by-step explanation:
300t=280(t+2)
300t=280t+560
20t=560
t=28
Find the value or measure. Round answers to the nearest tenth, as needed.
Answer:
26
Step-by-step explanation:
Solve 9x-1 = 41-5x
9x-1 = 41-5x
+1 +1
9x = 42-5x
+5x +5x
14x = 42
/14 /14
x = 3
Plug in X for EF
41-5(3)
41-15
=26
sorry this isn’t in text form… But thank you if you’re willing to provide help!
Answer:
Blank 1: y=3x+10
Blank 2: y= 40
Step-by-step explanation:
Let the cost of gift wrap be y and the number of gifts be x.
Department
An upfront fee of $10 means that Mr Bentley needs to pay $10 first, and this $10 is only paid once on top of the cost of wrapping each gift.
y= 3x +10
Niece
A flat fee of $40 means that no matter how many gifts the niece wraps, Mr Bentley only pays $40.
y= 40
To find out when the two plans cost the same, equate the two equations together. Then, solve for x.
3x +10= 40
3x= 40 -10 (-10 on both sides)
3x= 30
x= 30 ÷3
x= 10
Thus when Mr Bentley has 10 gifts to be wrapped, the 2 plans costs the same.
I need help I'm confused
The triangles are congruent by SSS or HL.
Triangles M N Q and P Q N are connected at side Q N. Triangle M N Q is rotated about point N and then is shifted to the left to form triangle P Q N.
Which transformation(s) can map TriangleMNQ onto TrianglePQN?
translation only
reflection only
rotation, then reflection
rotation, then translation
Answer:
rotation, then translation
Step-by-step explanation:
The transformation that map triangle MNQ onto triangle PQN is rotation, then translation.
The given triangles;
Triangle MNQ Triangle PQNA translation of a triangle occurs when the triangle shifts up, or down, of left or right on the coordinate plane.
The reflection of a triangle occurs when the vertices of the triangle is flipped over the opposite side.
Since the triangle MNQ is rotated then shifted to the left to form the new triangle PQN, we can conclude that the transformation that map triangle MNQ onto triangle PQN is rotation, then translation.
Learn more about rotation and translation of triangles here: https://brainly.com/question/1616371
I didn't pay attention in class for a few days and now I'm lost. if somebody could at least explain proportions I would be very thankful.
Answer:
A proportion is a comparison of two numbers that each represent the parts of a whole. Essentially, a proportion says that two fractions are the same, even if the amount is different. For example, 1/2 of 10 marbles is the same proportion as 1/2 of 50 marbles.
Step-by-step explanation:
The net of a rectangular prism is shown below. Each square represents 1 square unit.
What is the total surface area of the net shown?
Answer:
56 units²Step-by-step explanation:
There are two bases of 3x4 and 4 sides of 2x4
Total surface area is:
2(3*4) +4(2*4) = 56 units²A florist uses 5 red roses for every 2 white roses in her bouquets write the ratio of white roses to red roses in 3 different ways
Answer:
5/2
5 : 2
5 to 2
how many times can 10 go into 111?
Answer:
11 times
Step-by-step explanation:
hope this helps
Answer:
11.
Step-by-step explanation:
10 x 10 = 100
10 x 11 = 110
10 x 12 = 120 which is too much so its the one above.
Hi! i'm showing this to my sister and she wants to know, At a yard sale, Jennifer sold 2 tricycles for $22.50 each, 3 old video games for $2.75 each, a video for $5.00, and a dictionary for 75 cents. How much money did she make?
Jennifer made $59.
$22.50 times 2 is $45 and $2.75 times 3 is $8.25, the sum of these numbers is $53.25.
$5 plus $0.75 is $5.75, and the sum of $5.75 plus $53.25 is exactly 59 dollars.
If this is incorrect, please, don't refrain to tell me.
Consuelo recorded the amount of time, in minutes, she spent exercising on the treadmill. 15, 25, 30, 25, 45, 20, 35, 30, 35, 30, 40 Which value best represents the mode? 10 min 10 min 30 min 30 min 35 min 35 min 25 min
Answer: 30 mins.
Step-by-step explanation:
The mode is the value that appears the most times.
In such a situation, first order the numbers in an ascending order:
15, 20, 25, 25, 30, 30, 30, 35, 35, 40, 45
As can be seen from the above, 30 is the number that appears the most so the mode is 30 mins.
The ages of the members of the Chess Club and the Debate Team at Jana’s school are shown in the box plots.
Which statement is true regarding these data sets?
The range of the ages of the members of the Debate Team is greater than the range of the ages of the members of the Chess Club.
The number of members in the Chess Club and the number of members in the Debate Team is the same.
The majority of the members in each club are between 15 and 17 years old.
About 50% of the members of each club are 16 or older.
Answer:
C
Step-by-step explanation:
Answer:it’s c
Step-by-step explanation:
1. TEMPERATURE Suppose the temperature
outside is dropping 3 degrees each
hour. How much will the temperature
drop in 8 hour?
how long would it take the snail to crawl 65 inches
a 60
b 6.5
c 6
d 65
Answer:
6 minutes is the most reasonable time to crawl 65 inches.
please help times running out
Answer: c
Step-by-step explanation:
Calculator
1.) There are 200 total students in the 7th grade. 84 students
participate in only athletics. 56 students only participate in a music
class. The remaining students do not participate in music or athletics.
Find the percentage of each category. Round to the nearest whole
percent.
Athletics:
% Music:
% Neither:
%
Music 28%
Athletics 42%
Neither 30%