Ricky Bobby wants to buy a new automobile for $55,000 in 8 years. How much money must Ricky's original investment be if he makes a single deposit into an account with monthly compounding and an annual interest rate of 3.90% in order to reach his goal? Round your answer to the nearest cent.
Answers
Answer:
PV= $40,279.36
Step-by-step explanation:
Giving the following information:
Number of periods= 8*12= 96 months
Interest rate= 0.039/12= 0.00325
Future value (PV)= $55,000
To calculate the initial investment, we need to use the following formula:
PV= FV/(1+i)^n
PV= 55,000 / (1.00325^96)
PV= $40,279.36
Related Questions
On a temperature versus time graph, how does the temperature at the beginning of a change of state compare with the temperature at the end of the change? always lower always the same usually lower usually higher
Answers
Answer:
Always the same
Step-by-step explanation:
The temperature at the beginning of a change of state is always the same as the temperature at the end.
This is because phase change is an isothermal process. it means that all the energy absorbed during the phase change process is utilized in the breaking of the bonds in the compound as it changes from one state of matter to another.
As a result, no increase in the temperature of the material will be detected by the thermometer.
Which is the value of this expression when m-3 and n=-5
Answers
Answer:
1/8
Step-by-step explanation:
(6m^-1n^0)^-3 =
= (6 × 1/3 × (-5)^0)^-3
= (6/3)^-3
= 2^-3
= 1/2^3
= 1/8
-5x² + 6x -1 =7-7x²
it’s the zero product rule
Answers
Simplifying
-7x2 + 5x + -18 = 0
Reorder the terms:
-18 + 5x + -7x2 = 0
Solving
-18 + 5x + -7x2 = 0
Solving for variable 'x'.
Begin completing the square. Divide all terms by
-7 the coefficient of the squared term:
Divide each side by '-7'.
2.571428571 + -0.7142857143x + x2 = 0
Move the constant term to the right:
Add '-2.571428571' to each side of the equation.
2.571428571 + -0.7142857143x + -2.571428571 + x2 = 0 + -2.571428571
Reorder the terms:
2.571428571 + -2.571428571 + -0.7142857143x + x2 = 0 + -2.571428571
Combine like terms: 2.571428571 + -2.571428571 = 0.000000000
0.000000000 + -0.7142857143x + x2 = 0 + -2.571428571
-0.7142857143x + x2 = 0 + -2.571428571
Combine like terms: 0 + -2.571428571 = -2.571428571
-0.7142857143x + x2 = -2.571428571
The x term is -0.7142857143x. Take half its coefficient (-0.3571428572).
Square it (0.1275510204) and add it to both sides.
Add '0.1275510204' to each side of the equation.
-0.7142857143x + 0.1275510204 + x2 = -2.571428571 + 0.1275510204
Reorder the terms:
0.1275510204 + -0.7142857143x + x2 = -2.571428571 + 0.1275510204
Combine like terms: -2.571428571 + 0.1275510204 = -2.4438775506
0.1275510204 + -0.7142857143x + x2 = -2.4438775506
Factor a perfect square on the left side:
(x + -0.3571428572)(x + -0.3571428572) = -2.4438775506
Customers generally find waiting in line to be an unpleasant experience. In addition to reducing the length of the wait itself, what other steps could a business take to reduce the frustration customers experience while waiting?
Answers
Answer:
OOP
Step-by-step explanation:
Mr. Bobby plans to spend no more than $200 on pizza and soda for a party. Each pack of soda costs $5.00 and each pizza costs $8.00. Which inequality could Mr. Bobby use to determine how many packs of soda, s, and how many pizzas, p, he can buy?
I need it asap, pls try to include Step-by-Step if possible :)
Answers
Answer:
You can buy 12 pizzas and 20 sodas with a small sum left over.
Step-by-step explanation:
A drawer contains 10 blue pens, 12 black pens, and 3 red pens. Without looking, Mr. Lopez is going to take one pen from the drawer, use it, and then put it back into the drawer. Then he is going to take another pen from the drawer to use. What is the probability of Mr. Lopez taking a red pen first and then taking a blue pen?
Answers
Answer: 4.8%
Step-by-step explanation: the total amount of pens in the drawer is (10+12+3) = 25
the amount of red pens in the drawer is 3
the probability of picking out a red pen from the drawer = 3/25
the amount of blue pens in the drawer is 10
the probability of picking out a red pen from the drawer = 10/25
the probability of picking out a red pen then a blue pen afterwards = (10/25 x 3/25) = 4.8%
Is -5/250 a rational number
Answers
Answer:
Hello There!!
Step-by-step explanation:
The answer is that=>Yes It is a rational number.
hope this helps,have a great day!!
~Pinky~
Answer:
Yes.
Step-by-step explanation:
A rational number is any number that can be written as a fraction. These include whole numbers, fractions, decimals that end, and decimals that repeat. Positive and negative do not affect rationality.
Question 3(Multiple Choice Worth 1 points)
(05.02 MC)
Solve the system of equations using substitution.
4x + 2y = 6
x = 2y + 4
(1, 1)
(2,-1)
(8,2)
(10,3)
Answers
Answer:
(2,-1)
Step-by-step explanation:
We can use substitution to solve this system of equations. Since x is already solved for in the second equation, we can substitute 2y + 4 for x in the first equation:
4(2y + 4) + 2y = 6
Simplifying the left side:
8y + 16 + 2y = 6
Combining like terms:
10y + 16 = 6
Subtracting 16 from both sides:
10y = -10
Dividing both sides by 10:
y = -1
Now that we know y, we can use the second equation to find x:
x = 2y + 4
x = 2(-1) + 4
x = 2
Therefore, the solution to the system of equations is (x, y) = (2, -1).
The correct answer choice is (2, -1).
Which expressions are equivalent to 4m + 12? Choose ALL that apply.
Answers
Answer:
Your answers are 6m-2m+12 and 4(m+3).
Step-by-step explanation:
This is because for 6m-2m+12, you are dealing with like terms. You are subtracting 6m-2m.
4(m+3) on the other hand, you are using the distributive property. You would carry the 4 to the m and to the 3.
Once you've done that with both of those expressions, they will both equal 4m+12.
Expression is a set of numbers, variables, and mathematical operations formed. The expression 4m+12 can be written as 4(m+3).
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
In the given expression 4m + 12, there are 2 terms and both of these terms have 4 as the common factor, therefore, we can write the expression as,
\(4m +12\\\\= 4m+(4 \times 3)\\\\ = 4(m + 3)\)
Hence, the expression 4m+12 can be written as 4(m+3).
Learn more about Expression:
https://brainly.com/question/13947055
How many times does X squared minus 4X -12 cross the X axis
Answers
We can solve this problem using discriminant.
x^2-4x-12's discriminant is
(-4)^2-4*-12=16+48 which is clearly larger than 0
This means that it crosses over the axes 2 times.
In case you don't know what discriminant is, its in equation ax^2+bx+c
the discriminant is b^2-4ac.
If its positive it has 2 crosses with x axis, if negative then 0 crosses, if 0 then 1 cross.
Hope this helped at least a little bit :D
if explain this question to me give those crown thingy points
it two pages
please help 20points
Answers
Answer:
1.) 12 yards (the one you selected is correct)
2.) 1.1 with the bar over the decimal (the one you selected is correct)
Step-by-step explanation:
1.) It looks like Aaron dropped back 5 yards from the line of scrimmage and threw to the 7 yard line for a total of 12 yards.
2.) If you enter 10 divided by 9 into your calculator you will get back 1.11111111111111 that keeps repeating for how ever many digits your calculator can show. We write this as 1.1 with the bar over the decimal.
HELP ME OUT HERE PLEASEEEEEEEEEEEEEEEEEEE
Answers
Answer:
5/8 quart
Step-by-step explanation:
Just take away 1/4 from 7/8What are the possible values of x and y for two distinct points, (5, –2) and (x, y), to represent a function? The value of x can be .
Answers
Answer:
x ≠ 5
Step-by-step explanation:
For the two points to represent a function, the value of x cannot be repeated. The only restriction on the values of x and y is that x is not 5. (x can be anything but 5.)
Answer:
The value of x can be
✔ any real number except 5
.
The value of y can be
✔ any real number
Step-by-step explanation:
i got it correct on edguinty
How do i do this ? Or anyone can help me with my quiz
Answers
For the information given in the statement, we can write the following proportion:
\(\begin{gathered} \frac{\text{Width initial photo}}{\text{ Height initial photo}}=\frac{\text{ Width enlarged photo}}{\text{ Height enlarged photo}} \\ \frac{4in}{6in}=\frac{10in}{x\text{ }in} \\ \frac{4}{6}=\frac{10}{x} \end{gathered}\)Now, we can solve the equation for x:
\(\begin{gathered} \text{ Apply cross product} \\ 4\cdot x=10\cdot6 \\ 4x=60 \\ \text{ Divide by 4 from both sides of the equation} \\ \frac{4x}{4}=\frac{60}{4} \\ \boldsymbol{x=15} \end{gathered}\)Therefore, the height of the enlarged photograph will be 15 inches and, the correct answer is option C.
Select the correct answer.
Which statement correctly compares the graph of function g with the graph of function ??
FE) = e²-
g(x) = ² - 4
O A.
OB.
O C.
O D.
The graph of function g is a horizontal shift of the graph of function to the right.
The graph of function g is a vertical stretch of the graph of function f.
The graph of function g is a vertical compression of the graph of function f.
The graph of function g is a horizontal shift of the graph of function f to the left.
Reset
Next
Answers
A statement that correctly compares the graph of function g with the graph of function f include the following: C. The graph of function g is a vertical compression of the graph of function f.
What is a dilation?In Mathematics and Geometry, a dilation is a type of transformation which typically transforms the dimension (size) or side lengths of a geometric object, without affecting its shape.
Therefore, the dimension or side lengths of the dilated geometric object would be stretched or compressed (shrunk) depending on the scale factor that is applied.
When the parent function \(f(x) = e^x -4\) is vertically compressed by a scale factor of 1/2, the transformed function g(x) is given by the following equation;
g(x) = kf(x)
g(x) = 1/2f(x)
\(g(x) = \frac{1}{2} e^x -4\)
Read more on dilation and scale factor here: brainly.com/question/4421026
#SPJ1
Simplify sin θ/cosθ tan θ to a number or a single trigonometric function
Answers
Answer:
The answer is below
Step-by-step explanation:
Trigonometric functions are functions used in right angled triangles to relate an angle in the triangle to the ratio of two side. The most common trigonometric functions are the sine, the cosine, and the tangent.
Some trigonometric identities are:
secθ = 1/ cosθ, cosecθ = 1 / sinθ, tanθ = sinθ / cosθ, cotθ = 1 / tanθ = cosθ / sinθ.
Hence simplifying the question:
\(\frac{sin\theta}{cos\theta tan\theta} =\frac{sin\theta}{cos\theta *\frac{sin\theta}{cos\theta} }\\\\=\frac{sin\theta}{sin\theta}\\\\=1\)
find the equivalent fraction 2/6= __ 2/5= ___
Answers
The equivalent fraction of 2/5 is 4/10
Factor completely (x2 +x -6)(2x2 + 4x)
Answers
Answer:(x - 2) (x + 3) ⋅ 2x (x + 2)
Step-by-step explanation: factor the polynomial
Solve log 5x = 3
A)
B)
C)
D)
Answers
Answer:
200
Step-by-step explanation:
log a is the same thing as: \(log_{10}{a}=b\) which can be rewritten as \(10^b=a\) and in general logarithms are in the form \(log_ba=c\) which can be written as \(b^c=a\)
Rewrite into exponential form
\(10^3=5x\)
Simplify exponent
\(1000=5x\)
Divide by 5
x=200
Answer:
200
Step-by-step explanation:
I don't know if there are answer choices but the answer is 200
$6,000 dollars is invested in two different accounts earning 3% and 5% interest. at the end of one year, the two accounts earned $220 in interest. how much money was invested at 3%
Answers
The amount is $4,000 invested in the 3% account.
Let x be the amount invested in the 3% account. Then, the amount invested in the 5% account is $6,000 - x.
The interest earned from the 3% account is 0.03x, and the interest earned from the 5% account is 0.05($6,000 - x) = $300 - 0.05x.
The total interest earned is given as $220, so we can write the equation:
0.03x + 300 - 0.05x = 220
Simplifying the equation, we get:
-0.02x + 300 = 220
-0.02x = -80
x = 4,000
Therefore, $4,000 was invested in the 3% account.
To know more about investment follow
https://brainly.com/question/1529024
#SPJ1
What is the value of (2/3)^4 ?
Answers
Answer:
THE ANSWER IS 81/16 OR C
At best buy they have a 42” TV that sells for $1250 and is on sale for 15% and sales tax is 6.5%. What is the final cost? (Hint: Calculate the discount first and then the tax).
Answers
Answer:
pre-tax = 1,062.50
after taxes = 1,131.56
This Question: 1 pt
17 of 29
Emma has $160 cash to spend at a music store. How much can she spend on items if there is a 7% sales tax?
Emma can spend on items.
(Round to the nearest cent as needed.)
Answers
Answer:
i would say $148.80
Step-by-step explanation:
tax would amount to 11.20 so when you subyract that from the total then the rest is what she can spend.
Write these numbers in standard form:
a. 8731000
b. 0.053
c. 0.00094
d. 0.543
e. 28765
f. 3 x 6 x 104
g. 170 x 10-2
h. (3 x 10-3)3
i. (2 x 10-4) (5 x 103)
j. (12 x 105) ÷ (4 x 102)
Answers
Step-by-step explanation:
j. seems to be challenging
Simplify the complex fraction.
Answers
Answer:
10/3 or 3 1/3
Step-by-step explanation:
4/3 ÷ 2/5 is the same as 4/3 × 5/2, which equals 20/6 or 10/3 simplified
Answer:
8/15
Step-by-step explanation:
you essentially multiply both numerators and denominators 4×2=8 3×5=15 for the final answer of 8/15 complex fractions are mainly multiplication
samuel is buying a bicycle with a price of $ 60 . The sales tax is 8 % of the price. The total price of the bicycle including sales tax is how much money?
Answers
Answer: 64.80
Step-by-step explanation:
The sales tax is 8% of the price, which means the tax amount is:
Tax = 8% of $60 = 0.08 * $60 = $4.80
To find the total price of the bicycle including sales tax, we need to add the tax amount to the original price:
Total price = $60 + $4.80 = $64.80
Therefore, the total price of the bicycle including sales tax is $64.80.
Find the missing angles.
with solution
Answers
Hello!
y = 88° (opposite are equal)
z = 180° - 128° = 52° (straight angle = 180°)
x = 180° - 140° = 40° (straight angle = 180°)
Answer:
x=40°
y=88°
z=52°
Step-by-step explanation:
Solution Given:
x+140°=180°
Since the sum of the angle of a linear pair or straight line is 180°.
solving for x.
x=180°-140°
x=40°
\(\hrulefill\)
y°=88°
Since the vertically opposite angle is equal.
therefore, y=88°
\(\hrulefill\)
z+128°=180°
Since the sum of the angle of a linear pair or straight line is 180°.
solving for z.
z=180°-128°
z=52°
Marked angle 3 different ways
Answers
Answer:
where are question I don't understand this question
What is D(50) − (D(15) ∪ D(20))?
Answers
The expression "D(50) - (D(15) ∪ D(20))" refers to the set difference between the set D(50) and the union of sets D(15) and D(20).
The set difference is the operation that gives you the elements that are in the first set (D(50)) but not in the second set (D(15) ∪ D(20)). Note that this prompt draws on Set Theory.
What is Set Theory?Set Theory is a branch of mathematics concerned with the study of sets, their properties, and their relationships.
In set theory, a set is a collection of distinct objects, and the set difference operation, represented by the minus sign (-), returns the elements that are in the first set but not in the second set.
The union of sets, represented by the symbol ∪, is the operation that gives you the set of all elements that are in at least one of the sets being considered.
Learn more about Set Theory:
https://brainly.com/question/16823768
#SPJ1
A rectangular prism has a length of 2 centimeters, a height of 8 centimeters, and a
width of 13 centimeters. What is its volume, in cubic centimeters?
Answers
The volume of the rectangular prism is 208cm³
What is the volume of a rectangular prism?Volume' is a mathematical quantity that shows the amount of three-dimensional space occupied by an object or a closed surface. The unit of volume is in cubic units such as m3, cm3, in3 etc. Sometimes, volume is also termed capacity.
The volume of a rectangular a prism is expressed as base area × height. The base area is a rectangle and the area of a rectangle is Length × width
length = 2cm
width = 13 cm
height = 8cm
base area = 13× 2 = 26cm²
Volume of the prism = 26× 8 = 208cm³
Therefore the volume of the rectangular prism is 208cm³.
learn more about the volume of a rectangular prism from
https://brainly.com/question/24284033
#SPJ1