Answer:
The monthly payment is approximately $2,356.89
Step-by-step explanation:
The list price of the car, P = $41,070
The interest rate payed, r = 5.09% compounded monthly
Therefore, the number of interest calculated per period, n = 1
The payment period, t = 5 years
The amount payed as sales tax = 5.86%
The amount paid as registration fee = $384
The amount paid as documentation fee = $89
The total amount to be paid, A = 41,070 + 41,070 × 0.0586 + 384 + 89 = 43,949.702
Therefore, the monthly payment, 'M', is given by the following formula;
[tex]M = \dfrac{P \cdot \left(\dfrac{r}{n} \right) \cdot \left(1+\dfrac{r}{n} \right)^{n \cdot t} }{\left(1+\dfrac{r}{n } \right)^{n \cdot t} - 1}[/tex]
Therefore, we get;
[tex]M = \dfrac{43,949.702\times \left(\dfrac{0.0509}{1} \right) \cdot \left(1+\dfrac{0.0509}{1} \right)^{1 \times 60} }{\left(1+\dfrac{0.0509}{1 } \right)^{1 \times 60} - 1} \approx 2,356.89[/tex]
The monthly payment, M ≈ $2,356.89.
A number, m, is rounded to 1 decimal place.
The result is 9.4
Complete the error interval for m.
Answer:
Dfrew
Step-by-step explanation:
PLEASE HELP ME ANSWER. NEEDS TO HAVE AN EXPLANATION.
Answer:
1) C. 4 - 3·i
2) D. The second graph shares the same vertex, is inverted, and opens wider than the first graph
3) C. y = (x - 2)² + 3 would shift right two units
4) B. Figure B' is congruent but not similar to figure B
5) A. m∠k' = m∠k
Step-by-step explanation:
1) Given that the real part of the complex number = 4
The imaginary of the complex number = -3
The general form of representing complex numbers is z = a + b·i, we have;
The binomial equivalent to the complex number is z = 4 - 3·i
2) The first graph equation is y = 2·x²
When x = 1, y = 2 and when x = 2, y = 8
The vertex = (h, k)
Where;
h = -b/(2.a) and b = 0, a = 2
∴ h = 0/(2 × 2) = 0
h = 0
k = f(h) = f(0) = 2 × 0² = 0
k = 0
The vertex, (h, k) = (0, 0)
The coefficient, 'a' is positive, therefore, the graph opens down
The second function, y = -(1/2)·x² also has a vertex (h, k) = (0, 0)
The coefficient, 'a' is positive, therefore, the graph opens up
When x = 1, y = -1/2 and when x = 2, y = -2
Therefore, the second function is wider
Therefore;
The second graph shares the same vertex, is inverted, and opens wider than the first graph
3) The given functions are;
First function; y = x² + 3 and second function; y = (x - 2)² + 3
First function;
When x = 1, y = x² + 3 = 1 + 3 = 4
∴ When x = 1, y = 4
Second function;
When y = 4, y = 4 = (x - 2)² + 3
√(1) = x - 2
x = 3
∴ When x = 3, y = 4
First function;
When x = 2, y = x² + 3 = 4 + 3 = 7
∴ When x = 2, y = 7
Second function;
When y = 7, y = 7 = (x - 2)² + 3
√4 = 2 = (x - 2)
x = 2 + 2 = 4
x = 4
∴ When x = 4, y = 7
Therefore, the second function, y = (x - 2)² + 3, has the x-value shifted 2 units to the right for a given value of 'y'
4) The lengths of the sides of figure B are 3 by 4, the lengths of the sides of figure B' 4.5 by 6
The ratio of the corresponding length and width of figures B and B' are;
3/4.5 = 4/6
Therefore, figure B' is similar but not congruent to figure B
5) A rotation and a reflection are rigid transformations and therefore, the dimensions and measure of the original figure and the image are the same;
∴ m∠k' = m∠k.
Use the properties of exponents to write an equivalent expression that is a product of unique
primes, each raised to an integer power.
621. 107
307
42.57 x 46630= 75769 =3794874 =37489438790=3474936
How to find the missing dimensions of a prism
Answer:
Below.
Step-by-step explanation:
You need to know the volume or total surface area of the prism and 2 of the dimensions.
The formula for the volume = wlh where w = width , l = length and h = height.
So knowing say w = 4, l = 8 and V = 192 we have:
V = wlh
192 = 4 * 8 * h
h = 192/4*8
= 192/32
= 6.
(-8)^5 in expanded form
Answer:
Step-by-step explanation:
PLEASE HELP I WILL CHOOSE BRAINLIEST!
Answer:
x=9
Step-by-step explanation:
Use the triangle Similarity theorem. First, make a proportion.
--------------------------------------------------------------------------------------------
21 / 77 is equal to 30 / 11x + 11 then solve.
Step 1: Cross-multiply.
21*(11x+11)=(30)*(77)
231x+231=2310
Step 2: Subtract 231 from both sides.
231x+231−231=2310−231
231x=2079
x=9
HOPE THIS HELPS!
Solve the following equation for x
IDEA: isolate the base ^power and then raise to the reciprocal power
4(x+1)^4/3 = 324
answer CORRECTLY for brainleist if u put a link i will report u ! thx have a bleesed night all ;)
Answer:
132 cm squared
Step-by-step explanation:
for the two triangles 8 times 3 divided by 2 is 12 times 2 for two triangles equals 24
the two side rectangles easy just do 5 times 6 and it equals 30 times two because there is 2 and you get 60
the bottom rectangle do the same thing except 6 times 8 and there is only one so 48
add all areas together to get 132
1 The prism-shaped roof has equilateral triangular bases. Use the model you created in question #1 to calculate the height of the roof, to the nearest tenth of a foot, if the side lengths each measure 25 feet. In your final answer, include all necessary calculations. You may include a sketch as part of your work.
2 To determine the amount of roofing materials needed, the area of the roof's entire surface is calculated, including the ceiling of the garage. Considering the sketch of the roofing design, create a formula to model the area of the roof's entire surface. In your final answer, include all of your calculations.
3The contractor in charge of the roofing project is trying to make the job the most cost effective for the homeowners. In order to cut back on the cost of supplies, he decides that a ceiling in the garage is not necessary. In other words, there will not be a barrier built between the garage and the roof. In two or more complete sentences, explain how these changes affect the model for the area of the roof's entire surface.
4The contractor in charge of the roofing project is trying to make the job the most cost effective for the homeowners. In order to cut back on the cost of supplies, he decides that a ceiling in the garage is not necessary. In other words, there will not be a barrier built between the garage and the roof. Create a formula modeling the area of the roof’s surfaces that the contractor will be purchasing supplies for.
5 Use the formula you created in the previous question to calculate the area of the roof that the contractor will be purchasing supplies for, assuming that the side length of the triangular bases is 25 feet and the length of each rectangular face is twice its width.
try your best i really need help!!
Answer:
Step-by-step explanation:
Step-by-step explanation: As shown in the attached figure, the prism-shaped roof has equilateral triangular bases, one of which is ΔABC. We need to create an equation that models the height of one of the roof's triangular bases in terms of its sides. Let ii be AD.
See the figure attached herewith, ΔABC forms an equilateral triangle, in which AD is the height. So, D will be the mid-point of BC and ∠ADB = ∠ADC = 90°.
Now, in ΔADB, we have
AD^2=AB^2-BD^2
AD^2=AB^2-(1/2AB^2)^2
AD=√3/4AB^2
we can find the height of any one of the roof's triangular bases.
2.1. Check picture 1. Let the one side of the triangle be a, drop one perpendicular, CD. Then triangle ADB is a right triangle, with hypothenuse a and one side equal to 1/2a. By the Pythagorean theorem, as shown in the picture, the height is √3/2a
2. if a=25 ft, then the height is √3/2a=√3/2*25=1.732/2*25=21.7(ft)
3. consider picture 2. Let the length of the roof be l feet.
one side of the prism (the roof) is a rectangle with dimensions a and l, so the area of one side is a*l
the lateral Area of the roof is 3a*l
the area of the equilateral surfaces is 2*(1/2*a*√3/2a)=√3/2a^2
so the total area of the roof is
4. The total area was the 2 triangular surfaces + the 3 equal lateral rectangular surfaces. Now instead of 3 lateral triangular surfaces, we have 2.
So the total area found previously will be decreased by al
5. so the area now is √3/2a^2 + 2al
6. now a=25 and l=2a=50
Area= √3/2a^2+2al=√3/2*25^2+2*25*50=25^2(√3/2+4)=625*4.866
=3041.3 (ft squared)
Grace has 27 coins (a combination of dimes, d, and quarters, q). She has $4.50 total. How many coins of each type does she have?
Answer:
15 dimes, 12 quarters
Step-by-step explanation:
d + q = 27
.10d + .25q = 4.5
solve by substituting '27-q' for 'd'
.10(27-q) + .25q = 4.5
2.7 - .1q + .25q = 4.5
.15q = 1.8
q = 1.8/.15
q = 12
d = 27-12 which is 15
Solve for r:
r/3 + 6 = 8
Answer:
r=3×(8-6)
r = 6
.............
Answer:
cancel terms that are in both the numerator and denominator
r/r/3+6=8
1/1/3+6=8
add the numbers
result
19/3=8
the input is a contradiction:it has no solutions
can someone help me please
Answer:
1921.67
1922 to the nearest whole number
Step-by-step explanation:
Cylinder
V = pi*r^2 * h
pi = 3.14
r = d/2
r = 12/2
r = 6
h = 13
V = 3.14 * 6^2 * 13
V = 1469.52
1/2 Sphere
V= 2/3 * pi * r^3
r = 6
pi = 3.14
V = (2/3) 3.14 * 216
V = 452.2
Total Volume
V_tot = 452.2 + 1469.52
V_tot = 1921.67
1/4 divided by 2 in fraction form
Answer:
The bigger the number you divide by (the divisor), the smaller the resulting shares. Picture: Split a single pizza between 2 people, and each gets 1/2 a pie. Compare that to splitting it among 4 people - now each person gets less: only 1/4 each. 8 people? Still less: 1/8. Split the single pizza among 100? … Each gets, well, barely a bite! Suppose we start with 2 whole pizzas. Split between 2 people, now each gets 1 whole pie. Divide among 4, each gets 1/2 pie. Divide 8 ways, each gets 1/4.
The value of the fraction when 1/4 is divided by 2 is 1/8
How can we take division in terms of fraction?Suppose we've to divide 'a' by 'b'
We write it as: [tex]a \div b[/tex]
This can be written in fraction form as:
[tex]a\div b = \dfrac{a}{b} = {a} \times \dfrac{1}{b}[/tex]
For this case, we have to divide 1/4 by 2 and express it into fraction form.
Thus, we get:
[tex]1/4 \div 2 = \dfrac{1/4}{2} = \dfrac{1}{4} \times \dfrac{1}{2} = \dfrac{1}{8}[/tex]
Thus, the value of the fraction when 1/4 is divided by 2 is 1/8
Learn more about fractions here:
https://brainly.com/question/483643
which if the following is the x-corrdinate of the solution to the system shown below?
x+y=11
x-y=7
(A) x=9
(B) x=2
(C) x= 18
(D) x=14
Answer:
x = 9
hope it helps
I'm soo sad :(
Please help! I need this aS-0
Answer:
6.
18+18 = 36
hence
x = 16
7.
x = 7 × 2
x = 14
You run 1 ¾ miles each day. Your friend runs 4 times as far as you do. How far does your friend run each day?
Answer:
4 multiplied by 1. 3/4
Step-by-step explanation:
4 x 7/4 _____answer 7
PLEASE HELP AND HURRY I NEED THIS NOW PLEASE
The path of a shot thrown during a shot put event can be modeled by the function
f(x)--0.025x2+x+5. In this function, x is the horizontal distance (in feet) from where the shot is
released and f(x) is the height (in feet) of the shot. What is the maximum height reached by the
shot?
A 5 ft
C 15 ft
B. 20 ft
D 35 Ft
please help I'm so confused
Answer:
It ends on the half circle
Step-by-step explanation:
You are looking at the base of each shape. It starts with a triangle so you go down. Then the base of that is a rectangle so you go down again and so on. Therefore your answer is a half circle.
Can someone help me ASAP pls right answers only
The box plot that shows this information is given at the end of the problem.
What is a box plot?It is a plot that focuses the interquartile range of the population, which is the difference between the third and the first quartile, but gives a five number summary of the population, composed by these following measures.
The smallest value.The first quartile.The median.The third quartile.The highest value.For this problem, the measures are given as follows:
Shortest wait: 30 mins = 0.5 hours.Q1: 3 hours.Median 4 hours and 30 minutes = 4.5 hours.IQR = 2 hours and 15 minutes = 2.25 hours, hence Q3 = 3 + 2.25 = 5.25 hours.Longest wait: 7 hours.The box plot with these data is given at the end of the answer.
More can be learned about a box plot at https://brainly.com/question/28160012
#SPJ1
a person invested $7400 in an account growing at a rate allowing the money to double every 13 years. how much money would be in the account after 11 years, to the nearest dollar?
Answer:
$13,304
-We use the compound interest function to determine the rate of growth.
-Given that the amount doubles in 13 years, the annual growth rate is calculated as:
We now substitute this value of i in the compound interest formula equation to solve for future value:
Hence, the future value to the nearest dollar is $13,304
*You can alternatively use the exponential growth function:
This is slightly off by just $1
Step-by-step explanation:
Please help. I will give brainliest.
Answer:
e
Step-by-step explanation:
After taxes, Olive brings home $2800 per month. She has decided that she would like to set aside 15% of her income for savings. How much will Olive save each month?
Answer:
420
Step-by-step explanation:
15%= 0.15
2800*0.15= 420
What would the missing value be?
Answer:
x = 9
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, 6) and (x₂, y₂ ) = (x, - 5 )
m = [tex]\frac{-5-6}{x-2}[/tex] = [tex]\frac{-11}{x-2}[/tex] , then
[tex]\frac{-11}{x-2}[/tex] = - [tex]\frac{11}{7}[/tex] ← numerators are equal, so equate the denominators
x - 2 = 7 ( add 2 to both sides )
x = 9
A museum charges a yearly membership fee plus an additional price per visit. Brian visited the museum eight times and paid a total of $175. Samantha visited the museum 13 times and paid a total of $235. What is the annual membership fee and the price per visit? Be sure to define your variables and solve algebraically.
Answer:
x = annual membership fee = $79
y = price per visit = $12
Step-by-step explanation:
Let
x = annual membership fee
y = price per visit
Brian:
x + 8y = 175
Samantha:
x + 13y = 235
x + 8y = 175 (1)
x + 13y = 235 (2)
Subtract (1) from (2) to eliminate x
13y - 8y = 235 - 175
5y = 60
y = 60/5
y = 12
Substitute y = 12 into (1)
x + 8y = 175 (1)
x + 8(12) = 175
x + 96 = 175
x = 175 - 96
x = 79
x = annual membership fee = $79
y = price per visit = $12
Jenny’s mom gave her one dollar on the day she was born. She plans to triple the amount she gives her every day. How much will she receive on her 10th day?
Answer:
19,683
Step-by-step explanation:
please help what is the answer?
Answer:
D. 120
Step-by-step explanation:
A quantity with an initial value of 390 the keys continuously at a rate of 5% per decade what is the value of the quantity after 51 years to the nearest hundred
Answer:
4695.90
Step-by-step explanation:
The exponential growth function is given as:
y = a(1 + r)^t
a = Initial value = 390
y = Value after time t = ?
r = Growth rate = 5% = 0.05
t = Time in years =51
Hence
y = 390(1 + 0.05)⁵¹
y = 4695.9002123
Approximately = 4695.90
Answer the question in the picture?
Answer:
last option; P = 2(8) + 2(12)
Step-by-step explanation:
perimeter is the sum of all sides
in a rectangle, opposite side are equal to you can double the sides that are equal and then add them together
3. For his after-school job, Doug painted
25 fence posts in 350 minutes. If it took
Doug the same amount of time to paint
each fence post, how many minutes did
it take him to paint 1 fence post?
Answer:
14 minuts.
Step-by-step explanation:
350 divided by 25 is 14.
Please mark brainiest tysm
4 times the sum of x and 30
Think Start with the sum of x and 30. Then find 4 times the sum
The sum of x and 30
4 times the sum
x(x + 30)