Using simple interest, it is found that:
a) The monthly payment will be of $222.57.
b) In total, the car will cost $18,251.9275.
c) $16,025.1775 will be paid in interest.
The amount of money accrued after t years, using simple interest, with an initial value of P and a decimal rate of r is given by:
[tex]A(t) = P(1 + rt)[/tex]
In this problem:
Total cost of $14,845.00, with a down payment of 15%, hence the initial value that will accrue interest is [tex]P = 0.85(14845) = 12618.25[/tex].Loan for 6 years, hence [tex]t = 6[/tex]Rate of 4.5%, hence [tex]r = 0.045[/tex].Item a:
The amount of money accrued will be of:
[tex]A(6) = 12618.25[1 + 0.045(6)] = 16025.1775 [/tex]
Payment over 6 x 12 = 72 months, hence, the monthly payment will be of:
[tex]m = \frac{16025.1775}{72} = 222.57[/tex]
The monthly payment will be of $222.57.
Item b:
The total cost is composed by:
Down payment of 15%, out of the amount of $14,845.00.Interest of $16,025.1775.Hence:
[tex]T = 0.15(14845) + 16025.1775 = 18251.9275[tex]
In total, the car will cost $18,251.9275.
Item c:
As found in item a, $16,025.1775 will be paid in interest.
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A zoo has 15 toucans and 60 parrots. What is the ratio of the number of toucans to the number of parrots at the zoo? Simplify your ratio.
Answer:
1:4
Step-by-step explanation:
A ratio can be written like this: 15:60, but it can also be written as the fraction 15/60, which can be simplified to 1/4, or 1:4.
6.
Write the equation of the parabola in vertex form.
A. y = x2
B. y = 1/4x^2 + 1
C. y = 1/4x^2
D. y = 1/4( x - 2)^2 + 1
Answer: The answer is NOT Letter B
C. y = 1/4x^2
Step-by-step explanation: I used math.way
A. y = x^2 = Rewrite in vertex form and use this form to find the vertex ( h , k ) . ( 0 , 0 ) =Find the vertex form. y = x 2
B. y = 1/4x^2 + 1 = Rewrite in vertex form and use this form to find the vertex ( h , k ) . ( 0 , 1 ) =Find the vertex form. y = 1 /4 ⋅ ( x + 0 ) 2 + 1
C. y = 1/4x^2 = Rewrite in vertex form and use this form to find the vertex ( h , k ) . ( 0 , 0 ) =Find the vertex form. y = 1 /4 x 2
D. y = 1/4( x - 2)^2 + 1 = Rewrite in vertex form and use this form to find the vertex ( h , k ) . ( 2 , 1 ) = Already in vertex form. y = 1 /4 ( x − 2 ) 2 + 1
Clip 102
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Standard Questions
Question Progress
Two families go to a zoo.
The Smith family of two adults and three children pay £66.
The Jones family of three adults and five children pay £105.
Work out the cost of an adult ticket and the cost of a child ticket.
In your working, let 'a'stand for an adult ticket and 'C'stand for a child ticket.
Answer:
Let's solve your system by elimination.
2a + 3c =66 ; 3a + 5c = 105
Multiply the first equation by 5,and multiply the second equation by -3.
5 (2a + 3c = 66)
−3 (3a + 5c = 105)
Becomes:
10a + 15c = 330
−9a − 15c = −315
Add these equations to eliminate c:
a = 15
Now that we've found a let's plug it back in to solve for c.
Write down an original equation:
2a + 3c = 66
Substitute 15 for a in 2a + 3c = 66:
(2)(15) + 3c = 66
3c + 30 = 66 (Simplify both sides of the equation)
3c + 30 −30 = 66 −30 (Add -30 to both sides)
3c = 36
3c3= 363 (Divide both sides by 3)
c = 12
Answer:
a = 15 and c = 12
tap the word that "they" refers to
a. birds
b. frogs
c. feets
Step-by-step explanation:
we would a small text, or give us a picture so we can read it, then we can answer this question, without it, I'd have to guess
Grace wants to collect data on the weight of her puppy as it grows. She decides to construct a table with age in weeks and weight in kilograms as variables. Will the ordered pairs from Grace’s data represent a function, a relation or a neither?
Which of the expressions are equivalent to the one below? Check all that apply. (8+2 4+2 A. 8+ (2 - 4) + 2 B. 8.4 + 2 + 2 C. (8 + 2). (4+2) D. (8. 4) + (24) + 2
The value of the equation A = ( 8 . 4 ) + ( 2 . 4 ) + 2 = 42
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
A = ( 8 + 2 ) . 4 + 2 be equation (1)
On simplifying the equation , we get
A = ( 10 ) 4 + 2
A = 40 + 2
A = 42
Substitute the value of A as
A = ( 8 . 4 ) + ( 2 . 4 ) + 2
On simplifying the equation , we get
A = 32 + 8 + 2
A = 40 + 2
A = 42
Hence , the equation is A = ( 8 . 4 ) + ( 2 . 4 ) + 2
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5x + 4y + 7x + y
Answer ?
Answer:
12x+5y
Step-by-step explanation:
add 5 + 7 because they both have x and add 4 and 1 because y couts as one so in the end you'll get 12x+5y
Answer:
Step-by-step explanation:
5x + 4y + 7x + y
Need to arrange all who have the same variable
=5x + 7x +4y + y
=12x+5y
Solve x
2/x -2 = 3/2x+3
Answer:
since we don't have to go back in and you can come over you
help me due today it is math
Answer:
B, C, and D.
Step-by-step explanation:
a)
d + 2 = 7
d = 5
b)
10 - d = 6
-d = -4
d = 4
c)
20 / d = 5
20 = 5d
4 = d
d)
4d = 16
d = 4
Hopefully this helps!
Brainliest please?
A number is 5 more than 3 times another number. The sum of the two numbers is 33. As an equation, this is written x + 3x + 5 = 33, where x represents the smaller number. Plug in the numbers from the set {3, 5, 7, 9} to find the value of x.
The value of x that holds true for the equation is?
So, the smaller number is?
and the larger number is?
Step-by-step explanation:
the numbers : x, y
x = 5 + 3y
x + y = 33
when using the first equation in the second we get the mentioned equation (it does not matter which of the 2 numbers is x and which is y, it can all be vice versa, as you can see) :
5 + 3y + y = 33
5 + 4y = 33
4y = 28
y = 7
so, when you try the numbers above in the unsimplified equation, you will also find that 7 is the right answer.
the other number is based on my equations (with the reversed names) :
x = 5 + 3y = 5 + 3×7 = 5 + 21 = 26
the smaller number is 7.
the larger number is 26.
Please take a look at the picture
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {C.\:None\:of\:the\:above.}}}}}}[/tex] ✔
[tex]\:\large{\boxed{\frak{ Step-by-step\:explanation: }}}[/tex]
A. [tex]x - ( - x) = -x[/tex]
Let us first solve for L. H. S.
We have,
[tex]x - ( - x)[/tex]
[tex] = x + x[/tex]
[tex] = 2x[/tex]
[tex]≠ - x[/tex]
[tex]≠ R. H. S. [/tex]
Hence, option A is incorrect.
B. [tex]0 - ( - x) = - x[/tex]
Solving for L.H.S. , we have
[tex] = 0 - ( - x)[/tex]
[tex] = + x[/tex]
[tex]≠ - x[/tex]
[tex]≠ R. H. S. [/tex]
Hence, option B is ruled out too.
Therefore, the correct answer is [tex]\sf\red{ option\:C}[/tex].
i really need help on my question
Answer:
D
Step-by-step explanation:
-1.25 is less than -1.02 and 1.4.
> -1.25 + 1.02 = -0.23
1.4 is a greater amount because it is a positive number
So, if you put it this way, -1.25 is lesser, -1.02 is the 2nd least, & 1.4 is the greatest.
Which means your overall answer should be -1.25 < -1.02 < 1.4
- A small waffle cone has a height of 6 inches and a diameter of 2.5 inches. Two scoops of
sorbet are placed on the wide end of the cone. The scoops are spheres with a diameter
of 2.5 inches. If all the sorbet melts into the cone, will the cone overflow?
Answer:
NO
Step-by-step explanation:
Circumference and area of a circular piece of glass
Answer:
Area = πr²
Circumference = 2πr
You can use pie as both 22/7 Or 3.14
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
A model village is built to scale. It has a scale of 1 : 23. A road has a real-life length of 1.61 km. What is the length of the road in the model village in m?
Answer:
We need to find how much more or less the ratio becomes
1.61 / 23 = 0.07
we multiply 0.07 with 1 to make the ratio even and get your answer
1 x 0.07 = 0.07 on the map
Hope this helps
Step-by-step explanation:
Use Definition 7.1.1,
DEFINITION 7.1.1 Laplace Transform
Let f be a function defined for
t ≥ 0.
Then the integral
ℒ{f(t)} =
∞
e−stf(t) dt
0
is said to be the Laplace transform of f, provided that the integral converges.
to find
ℒ{f(t)}.
(Write your answer as a function of s.)
Answer:
1q1231564rr54drdfgy6
9:00 oclock as a fraction in its lowest form
Answer:
1/9
Step-by-step explanation:
Answer:
i think but it is 9/12 that is 3/4
I am sorry I am not very sure
СЕ
What is the product of
(5m2) (2m -3)
7
7m6
10
10m6
Answer:
10m^3-15m^2
Step-by-step explanation:
A red die and a blue die are thrown. What is the probability that the red die comes up 5 or the sum on the two dice is less than four (or both)
Answer:
vA woman wants to measure the height of a nearby building. She places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building. The total length of the building's shadow is 184 ft, and the pole casts a shadow that is 5.5ft long. How tall is the building? Round your answer to the nearest foot. (The figure is not drawn to scale.)A woman wants to measure the height of a nearby building. She places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building. The total length of the building's shadow is 184 ft, and the pole casts a shadow that is 5.5ft long. How tall is the building? Round your answer to the nearest foot. (The figure is not drawn to scale.)A woman wants to measure the height of a nearby building. She places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building. The total length of the building's shadow is 184 ft, and the pole casts a shadow that is 5.5ft long. How tall is the building? Round your answer to the nearest foot. (The figure is not drawn to scale.)
Step-by-step explanation:
Samantha had a board that was 6 ft. 8 in. long. She cut off a piece that was 2 ft. 10 in. long. How much board does she have left?
Answer:
she would have 3ft. 10 inches of board
Step-by-step explanation:
Answer:
3ft and 10inches
Step-by-step explanation:
so 6ft 8 in minus 10in is 5ft 10 in
then 5ft minus 2ft is 2ft the rest is a piece of cake
Precalculus: Conics
At the Bellagio Resort in Las
Vegas, one of the fountains
attains a maximum height of 4m
at a horizontal distance of 0.5m
from its spout. If the path of
water is a parabola, find the
height of the water at a
horizontal distance of 0.75m
from the origin.
Answer:
yahoooooooooooooooo
Step-by-step explanation:
A flight from Boston to London took only 5 hours because of a strong tailwind. The flight back to Boston against the same wind took 6 hours. What was the speed of the wind if the speed of the plane in still air is 550 mph?
Step-by-step explanation:
let v is the speed of the wind,
the equation of the speed:
(550 + v ) × 5 = (550 - v) × 6
2750 +5v = 3300 - 6v
11v = 3300 - 2750
11v = 550
v = 550/11
v = 50
therefore, the speed of the wind =
50 mph
Step-by-step explanation:
v = speed of the wind5(550 + v) = 6(550 - v)
2.750 + 5v = 3.330 - 6v
5v + 6v = 3.300 - 2.750
11v = 550
v = 550 ÷ 11
v = 50mph
What number is 1/10 of 200
Mrs. Smith is shopping for a toy chest to go in her kids' playroom. She looks at the options shown.
Image_7181
If Mrs. Smith needs a toy chest that has at least 35 ft3 of storage space, which chest should she purchase
The volume of a cuboid toy chest is equal to their product of the length,
width, and height.
The correct option for the toy chest she should purchase is; Only toy chest A will provide the necessary storage space.Reasons:
The dimensions of the toy chest are;
Toy chest A;
Length = 5 feet
Width = 4 feet
Height = 2 feet
Toy chest B;
Length = 4 feet
Width = 2 feet
Height = 4 feet
Volume of Toy chest A = 5 ft. × 4 ft. × 2 ft. = 40 ft.³
Volume of Toy chest B = 4 ft. × 2 ft. × 4 ft. = 32 ft.³
The volume of the toy chest Mrs. Smith needs = 35 ft.³
The toy chest Mrs. Smith should purchase is Toy chest A, that has a volume of 40 ft.³, which can store items that with a volume of 35 ft.³
The correct option is; Only toy chest A will provide the necessary storage space
Possible question options obtained from a similar question found online are;
Either toy chest have the storage space needed
Neither has the storage space needed
Only toy chest A
Only toy chest B
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What is 2* 5 equal to?
Answer:
32
.......................................
What is a number and how do i get it when i do the thing?
Answer:
number is a mathematical object used to count, measure, and label. ... Numbers can be represented in language with number words. More universally, individual numbers can be represented by symbols, called numerals; for example, "5" is a numeral that represents the number five.
The company charges $85 for each
16-pound bowling ball. Over the past several months, the company sold 100,000 bowling balls. How much did the company earn for these sales?
Answer:
8,500,000
Step-by-step explanation:
if they sold 100,000 bowling balls and they are all 16 pound balls then the equation is (100,000 x 85) with then equals 8,500,000.
Which of these functions would you use to represent the length, width or heigh of a box whose dime
O Quadratic
O 4th-degree polynomial
O Cubic
O Linear
Answer:
Cubic
Step-by-step explanation:
He has widht, heigh and length.
The cubic function is used to represent the length, width or height of a box. The correct option is C.
What is a cubic function?The cubic function is defined as a function having a degree of three. It is the same as that of cubic polynomials.
A cubic function is defined in mathematics as a function of form f(x)=ax³+bx²+cx+d, where the coefficients a, b, c, and d are complex numbers and the variable x takes real values.
The box has three dimensions that are length, width, and height. The volume of the box will be calculated by the product of the three sides of the box.
There are three dimensions involved in the calculation of the volume of the box. It means that the volume will be a cubic function.
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in the Sahara desert one day it was 136°F in the gobi desert a temperature of -50°F was recorded what is the difference between these two temperatures
Answer:
186 °F
Step-by-step explanation:
The difference is found by subtracting the smaller from the larger:
136 -(-50) = 136 +50 = 186
The difference between the two temperatures is 186 °F.
x/33=-2/3i don't know how to solve this some one help me please
Answer:
x/i=22
Step-by-step explanation:
x/33=2/3*i
*33 *33
x=2/3*33*i
/i /i
x/i=2/3*33
x/i=22