Answer:
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Bob has taken out a loan of $15,000 for a term of 48 months (4 years) at an interest rate of 6.5%. Using the amortization table provided, what will be his total finance charge over the course of his loan?
Monthly Payment per $1,000 of Principal
Rate 1 Year 2 Years 3 Years 4 Years 5 Years
6.5% $86.30 $44.55 $30.65 $23.71 $19.57
7.0% $86.53 $44.77 $30.88 $23.95 $19.80
7.5% $86.76 $45.00 $31.11 $24.18 $20.04
8.0% $86.99 $45.23 $31.34 $24.41 $20.28
8.5% $87.22 $45.46 $24.65 $24.65 $20.52
9.0% $87.45 $45.68 $31.80 $24.89 $20.76
A.
$355.65
B.
$975.00
C.
$1,682.40
D.
$2,071.20
E.
$17,071.20
The total finance charge over the course of his loan is $2071.20.
It is required to find the total finance charge.
What is simple & compound interest?Simple Interest can be defined as the sum paid back for using the borrowed money, over a fixed period of time. Compound Interest can be defined as when the sum principal amount exceeds the due date for payment along with the rate of interest, for a period of time. Formula. S.I. = (P × T × R) ⁄ 100.
Given that:
Loan= $15,000
The table tells you that Bob's monthly payment on a 4-year loan at 6.5% will be 23.71 per thousand borrowed.
The sum of those 48 payments is ...
=48 × $23.71 =
=$1138.08
That means, Bob pays $138.08 in total finance charge for each $1000 he borrows. He is borrowing 15 times $1000.
so his total finance charge will be
= 15 × $138.08
= $2071.20
Therefore, the total finance charge over the course of his loan is $2071.20.
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Answer:
D.
$2,071.20
Step-by-step explanation:
I Will pick brainless answer! A recipe for cookies requires 2/3 cup of butter. Rama wants to make 3/4 of the recipe. How many cups of butter should Rama used to make the cookies?
Answer:
d: 1/2
Step-by-step explanation:
Answer:D. 1/2 c
Step-by-step explanation:A recipe is 100% and 3/4 is 75%. 75% of 2/3 is 1/2.
type an equation for the line shown in the graph
What is the volume of this rectangular prism?
Answer:
[tex] \frac{1}{2} {cm}^{3} [/tex]
Step-by-step explanation:
[tex]v = whl \\ = \frac{1}{4} \times 2 \times 1 \\ = \frac{2}{4} \\ = \frac{1}{2} {cm}^{3} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Which function has the same range as f(x)=-2√x-3+8?
Answer:
[tex]g(x)=-\sqrt{x+3}+8[/tex]
Step-by-step explanation:
got it right
g(x) = - √x + 3 +8 has the same range.
What is the range of a function simple?The variety of a feature is described as a set of solutions to the equation for a given input. In different words, the range is the output or y fee of a characteristic. There is the most effective range for a given function.
What is range in a relation?The set which contains all the first elements of all the ordered pairs of relation R is known as the domain of the relation.
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Complete the square to rewrite x^2+y^2+2x+6y-6=0 in graphing form
Answer:
(x + 1)² + (y + 3)² = 16
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Given
x² + y² + 2x + 6y - 6 = 0
Collect the x and y terms together and add 6 to both sides
x² + 2x + y² + 6y = 6
To complete the square
add ( half the coefficient of the x/ y terms )² to both sides
x² + 2(1)x + 1 + y² + 2(3)y + 9 = 6 + 1 + 9
(x + 1)² + (y + 3)² = 16
with centre = (- 1, - 3) and r = [tex]\sqrt{16}[/tex] = 4
Hey, can anyone help me? My math question is: "What sort of information can you get from conditional frequencies that you couldn't get by just looking at the relative frequencies?"
Thanks :)
Answer: Conditional frequencies enables users to get more specific information when analyzing a dataset.
Step-by-step explanation: Frequency refers to the count of occurrence of a particular variable.
Relative frequency is obtained by taking the ratio of the counts a particular variable and the total counts and of all available variables in the experiment or data.
Conditional Frequency allows us to input additional constraints to our frequency counts, especially in a two-way table. Enabling us to get more specific information by using conditional statements.
Complete the equation and solve the problem. Let n be the number of students in each row. There are 37 students in the marching band. There are 5 students in the first row, and the rest are in 4 equal rows. How many students are in each of the 4 rows?
Answer:
37 - 5 = 32
32/4 = 8
8 students are in each of the 4 rows
Answer: there are 8 students in each of the 4 equal rows
Step-by-step explanation:
x = # of students in each of the 4 rows
4x + 5 = 37
4x = 32
x = 8
There are 8 students in each of the 4 rows.
You can check this:
4 rows of 8 students —> 4(8) = 32 students
+ 5 students in the first row
= 37 students total
Quadrilateral ABCD is inscribed in this circle.
What is the measure of angle C?
Please Help!!!
Answer:
C=62 maybe
Step-by-step explanation:
3x=x+20
-x -x
2x=20
divide by 2
x=10
2*10=20+38=58
10+20=30
3*10=30
30+30=60+58=118
180-118=62
3) Factor x2 – 8x – 9.
Check
Answer:
(x-9)(x+1)
Step-by-step explanation:
factor using the box method or quadratic formula.
Answer:
(x - 9)(x + 1)
Step-by-step explanation:
Given
x² - 8x - 9
Consider the factors of the constant term (- 9) which sum to give the coefficient of the x- term (- 8)
The factors are - 9 and + 1, since
- 9 × 1 = - 9 and - 9 + 1 = - 8, thus
x² - 8x - 9 = (x - 9)(x + 1)
easy geometric shapes question #6 help please!
Answer:
it will gemetry and get 15
In Miss Ericksen's class, there are 18 boys and 15 girls. What is the ratio of boys to girls in Miss Ericksen's class? Simplify your answer.
Answer:
6:5
Step-by-step explanation
boys : girls
= 18 : 15
Now time to simplify:
18/3: 15/3
= 6:5
I really need help with this :((
Answer:
Step-by-step explanation
The two other forms are written form and expanded from. That first blank is for written from and the answer is four and eight-hundred twenty-sixth thousandths. For the other ones i think for the first blank it is 4 then 8 then 20 and then 6.
Hi so i am writing a movie but i need ideas
someone pls help this is due today
Answer: 0.44mm
Step-by-step explanation:
In this problem we are asked for the height of a single playing chip. We know the volume of a cylinder is 25120 mm^3.
V=πr²h
25120=πr²h
The problem also gives the diameter of the case: 40mm.
To find radius, you divide the diameter in half.
d=2r
40=2r
r=20
With the radius, we can add that to the volume equation.
25120=[tex]\pi[/tex](20)^2h
25120=400πh
All we have left is to find the height.
h=25120/(400π)
h≈20mm
Now that we know the height, we can find the height of a single chip. The problem states about 50 chips can fit in a case. To find the height of a single chip, you would divide 20 by 50.
20mm/50 chips=0.4mm/chip.
Zech deposited $5,600 in an account, which compounded 1.9 percent quarterly, and left it there for 10 years. What was the amount in the account at the end of 10 years? Round to the nearest dollar.
Answer:
$6769
Step-by-step explanation:
To calculate the amount, we make use of the compound interest formula
A = P(1+r/n)^nt
where A is the amount which we are to calculate
P is the amount deposited which is $5,600
r is the rate which is 1.9% or 1.9/100 = 0.019
t is the number of years = 10
n is the number of times the interest is compounded per year which is 4(quarterly means every 3 months and there are 4 quarters in a year)
Plugging all these values, we have
A = 5,600(1+ 0.019/4)^40
A = 5,600( 1 + 0.00475)^40
A = 5,600(1.00475)^40
A = $6768.75
Which is $6769 to the nearest dollars
What was the percentage decrease in the number of accidents between 1950 and 1976?
Answer:
the percentage decrease in the number of accidents between 1950 and 1976 is (25.9)
someone lmk plzzz tyy
Answer:
y-1 = -(x-2)
Step-by-step explanation:
First find the slope
m = (y2-y1)/(x2-x1)
= (5-1)/(-2 -2)
= 4/-4
= -1
We are using point slope form using the point (2,1)
y-y1 = m(x-x-1)
y-1 = -1(x-2)
y-1 = -(x-2)
What is the value of the expression below ? 2[32-(4-1)]
There is a 3 in between the ) 3 ] but it looks like square / cubes something
The value of the expression [tex]2[32-(4-1)][/tex] is [tex]58[/tex] by simplifying.
SimplificationSimplification is the process of replacing a mathematical expression with an equivalent one, that is simpler and usually shorter.
How to simplify an algebraic expression?Apply the BODMAS rule to simplify the algebraic expression.
Given that the expression is [tex]2[32-(4-1)][/tex]
First, simplify the bracket [tex](4-1)[/tex]
Then, [tex]2[32-(4-1)]=2[32-3][/tex]
Simplify the bracket [tex][32-3][/tex]
Then, [tex]2[32-3]=2[/tex] × [tex]29[/tex]
Multiply the numbers [tex]2[/tex] and [tex]29[/tex]
[tex]2[/tex] × [tex]29=58[/tex]
Hence, the expression [tex]2[32-(4-1)][/tex] is simplified to [tex]58[/tex].
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.- Alicia tiene una finca de 1 km2 de superficie. Dedica 28 hm2 a cultivar trigo, 3.900 dam2 a plantar olivos y el resto lo ha plantado de girasoles.¿ Cuántos metros cuadrados ocupan los girasoles?
Answer:
330 000 m²
Step-by-step explanation:
1. Area of farm
[tex]A = \text{1 km}^{2} \times\left (\dfrac{\text{1000 m}}{\text{1 km}} \right )^{2}= \text{1 000 000 m}^{2}[/tex]
2. Area for wheat
[tex]A = \text{28 hm}^{2} \times \left (\dfrac{\text{100 m}}{\text{1 hm}}\right)^{2} = \text{280 000 m}^{2}[/tex]
3.Area for olive trees
[tex]A = {\text{3900 dam}^{2} \times \left (\dfrac{\text{10 m}}{\text{1 dam}}\right )^{2}}= \text{390 000 m}^{2}[/tex]
4. Area for sunflowers
Total area = 1 000 000 m²
- Area for wheat = 280 000 m²
- Area for olive trees = 390 000
670 000
Area for sunflowers = 330 000 m²
Sunflowers occupy 330 000 m².
[tex]3\sqrt[5]{(x+2)^3}+3=27[/tex]
Show all work
Answer:
Step-by-step explanation:
[tex]3\sqrt[5]{(x+2)^{3}}+3=27[/tex]
[tex]3\sqrt[5]{(x+2)^{3}}=27-3[/tex]
[tex]ln 3\sqrt[5]{(x+2)^{3}}= ln 24[/tex]
[tex]ln 3 + ln\sqrt[5]{(x+2)^{3}}= ln 3 + ln 8[/tex]
[tex]ln\sqrt[5]{(x+2)^{3}}= ln 8[/tex]
[tex]\frac{3}{5} ln(x+2)= ln 8[/tex]
[tex]ln(x+2)=\frac{5}{3} ln 8[/tex]
x + 2 = [tex]\sqrt[3]{8^{5}}[/tex]
x = [tex]\sqrt[3]{8^{5}}[/tex] -2
A circle has a diameter that measures
8 inches. What is the area of the circle to the nearest tenth? Use 3.14 for pi.
Answer:
50.24inches
Step-by-step explanation:
Your diameter is 8 inches so divide that by two to get a radius of 4 multiply 4 by itself and multiply that (16) by pi.(it gives you 50.24)
3(5x – 10) < 30x solve for x
Answer:
x>-1.25
Step-by-step explanation:
3(5x-10)<30x
15x-20<30x
-20<15x
-20/15<x
-1.25<x
x>-1.25
Step-by-step explanation:
Step 1: Distribute
[tex]3(5x - 10) < 30x[/tex]
[tex](3 * 5x) + (3 * -10) < 30x[/tex]
[tex]15x - 30 < 30x[/tex]
Step 2: Subtract 15x from both sides
[tex]15x - 15x - 30 < 30x - 15x[/tex]
[tex]-30 < 15x[/tex]
Step 3: Divide both sides by 15
[tex]-30 / 15 < 15x / 15[/tex]
[tex]-2 < x[/tex]
Answer: [tex]x > -2[/tex]
Find the equation of the line shown.
HELP PLEASEEE
Answer:
y = x+6
Step-by-step explanation:
The y intercept is 6 ( where it crosses the y axis)
We need to find the slope
For each y unit it goes up, it goes to the right 1 x unit
m = 1/1 = 1
We can use the slope intercept form of the equation
y = mx+b where m is the slope and b is the y intercept
y = 1x+6
y = x+6
About how many times greater is the volume of the cylinder than the volume of the cone?
Your answer is 3 times larger.
The volume of any cone is 1/3 the volume of the cylinder that could be formed around that cone, therefore the volume of any cylinder is 3 times larger than the volume of the cone that could fit inside.
We know this is true because the equation for the volume of a cone is (1/3) πr²h, and the equation for the volume of a cylinder is πr²h
I hope this helps!
May someone please help me
hi buddy i can help you with this
Picture attachment below
Answer:
$4.50 for 9 cans
Step-by-step explanation:
What is the equation of 4over 3 equal Y
Answer:
3y = 4 or 3y - 4 =0
Step-by-step explanation:
[tex] \frac{4}{3} = y \\ 4 = 3y \\ 3y - 4 = 0 \\ [/tex]
Zachary and Heather are measuring the growth of a plant for a science experiment. They stopped recording the growth after week 6. Which of the following could be a reasonable estimate for the value of the plant height at week 10?
35 inches
47 inches
50 inches
43 inches
will mark brainliest
Answer:
43, it raises by 4 each time. good luck!
Step-by-step explanation:
A rectangular dog pen is constructed using a barn wall as one side and 60 meters of fencing for the other three sides. What is the maximum area of the dog pen?
Answer:
450 m²
Step-by-step explanation:
Let x = length of rectangle and y = width of the rectangle.
Therefore,
2x + y = 60...............(1)
Making y subject of the formula, we have:
y = 60 - 2x............... (2)
We know area of a rectangle is length * width i.e A = x*y
Let's substitute (60-2x) for y,
A = x * (60-2x)
= 60x - 2(x)²
= -2x² + 60x
[tex] \frac{dA}{dx} = -2x^2 + 60x = [/tex]
-4x + 60 = 0
-4x = -60
[tex] x = \frac{-60}{-4} = 15 [/tex]
Let's substitute 15 for x in equation 2, we have:
y = 60 - 2(15)
= 60 - 30
y = 30
Since x = 15 & y = 30, the area would be:
A = xy
A = 15 * 30
A = 450 m²
The maximum area of the dog pen is 450m²