a) The monthly payment for Sofia, who is considering the 5-year loan of $6,000 at an interest rate of 7%, would be $118.80.
b) The total number of monthly payments that Sofia would make for the 5-year loan of $6,000 at an interest rate of 7% is 60.
c) The total finance charge for Sofia, who is considering the 5-year loan of $6,000 at an interest rate of 7%, would be approximately $1,128.00.
How is monthly payment calculated?The monthly payment to pay off a mortgage can be calculated using an online finance calculator as below.
Data and Calculations:Loan amount = $6,000
Maturity period = 5 years
Interest rate = 7%
N (# of periods) = 60 months (5 years x 12)
Results:
Monthly Payment = $118.81 ($34.02 + $84.79)
Mortgage Payment = $7,128.60 ($118.81 x 60)
Total of 60 Mortgage Payments $7,128.60
Total Interest = $1,128.60 ($7,128.60 - $6,000)
Monthly Amortization Schedule (for the first 3 months)Date Beginning Balance Interest Principal Ending
Repayment Balance
1 3/2022 $6,000.00 $35.00 $83.81 $5,916.19
2 4/2022 $5,916.19 $34.51 $84.30 $5,831.90
3 5/2022 $5,831.90 $34.02 $84.79 $5,747.11
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Answer:
The table shows monthly payments for every $1,000 of principal borrowed. For a 5-year loan at 7%, the payment on a $1,000 loan would be $19.80.
So, for a loan of $6,000, the payment would be $19.80 × 6 = $118.80.
A 5-year loan will have 60 monthly payments since 5 × 12 = 60.
Multiply the monthly payment by 60 months to get the total amount paid on the loan:
$118.80 × 60 = $7,128.
To calculate the total finance charge, subtract the principal amount from the total amount paid on the loan:
$7,128 − $6,000 = $1,128.
Step-by-step explanation:
Given w = 2+2i, Find w+1/w
Answer:
0
Step-by-step explanation:
w+1/w=(2+2i)+1/(2+2i)
=(2+2i)+(2+2i)-1
=0
Find the midpoint M of the two sets of points. (Use midpt. formula)
X(-3, 4) Y(1, -1)
0 (-1,2.5)
(-2, 2.5)
0 (-1, 1.5)
(-2, 1.5)
Answer:
(-1, 1.5)
Step-by-step explanation:
A pool charges $7 for 2 daily pool passes.
Which table could represent the situation?
Answer:
Therefore, membership of the pool will be less expensive until number of visits to the pool is one fourth of the membership.
Option B is the table which could represent the given situation.
What is a linear equation?A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation.
According to the question
A pool charges $7 for 2 daily pool passes.
Using the linear equation y = mx + b
Substitute x = 2, y = 7
[tex]7 = 2m + b[/tex].....(1)
Substitute x = 4, y = 14
[tex]14 = 4m + b[/tex] .....(2)
Using elimination method
Subtract equation 1 from 2
[tex]14 - 7 = 4m - 2m + b - b[/tex]
[tex]7 = 2m[/tex]
[tex]m=\frac{7}{2}[/tex]
Substitute m = [tex]\frac{7}{2}[/tex] in equation 1
[tex]7=2(\frac{7}{2} )+b[/tex]
b = 7 - 7
b = 0
Substitute b = 0 in equation 1
7 = 2m
Similarly
14 = 4m
21 = 6m
28 = 8m
Hence, Option B is the table which could represent the given situation.
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If a gas tank can hold 30 gallons, how many gallons does it contain when it is three-fifths full?
Answer:
3/5 of 30 = (3/5)*30
3/5 of 30 = (3/5)*303/5 of 30 = (3*30)/5
3/5 of 30 = (3/5)*303/5 of 30 = (3*30)/53/5 of 30 = 90/5
3/5 of 30 = (3/5)*303/5 of 30 = (3*30)/53/5 of 30 = 90/53/5 of 30 = 18
3/5 of 30 = (3/5)*303/5 of 30 = (3*30)/53/5 of 30 = 90/53/5 of 30 = 18So when the tank is 3/5 full, there are 18 gallons in the tank.
5 [ 4 − ( − 2 ) ] + 6
Answer: 36
Step-by-step explanation:
Given expression
5 [4 - (-2)] + 6
Expand parentheses
5 [4 + 2] + 6
Simplify values in the bracket
5 [6] + 6
Simplify by multiplication
30 + 6
Simplify by addition
[tex]\boxed{36}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Does anyone know how to divide a fourth degree polynomial
Answer: Polynomial long division can be used to divide a polynomial by any polynomial with equal or lower degree. The Division Algorithm tells us that a polynomial dividend can be written as the product of the divisor and the quotient added to the remainder.
Step-by-step explanation:
7+6(-8x-7)=3(-6x+8)+1
Answer:
x = -2
Step-by-step explanation:
7 - 48x - 42 = - 18x + 24 + 1
-35 - 48x = -18x + 25
-48x +18x = 25 =35
-30x = 60
x = -2
Answer:
-2
Step-by-step explanation:
7+6 (-8x-7)=3 (-6x+8)+1
7-48x-42= -18x+24+1
-48+18= 24+1-7+42
-30x=60 then divide the two sides with -30
x= -2
I am a prime number.
Tam two digits.
The sum of my digits is 8.
My tens digit is 6 less than my ones digit.
Answer:
17
Step-by-step explanation:
17 is a prime number17 has two digitsThe digits in 17, 1 and 7, add up to 8The tens digit is 6 less than the ones digit place.Express the edge length of a cube as a function of the cube's diagonal length d. Then express the surface area and volume of the cube as a function of the diagonal length.
a. A function for the edge length of a cube is L(d) = _________________
b. A function for the surface area of a cube is Ald) = _____________
c. A function for the volume of a cube is V(d) = ________________
Answer:
Step-by-step explanation:
If L is the length of a side, the longest diagonal in the cube is
d = √(L² + L² + L²) = √(3L²) = L√3
meaning
a) L(d) = d/√3 = ⅓d√3
b) A(d) = 6(L(d))² = 6(⅓d√3)² = 6(⅟₉d²(3)) = 2d²
c) V(d) = (L(d))³ = (⅓d√3)³ = ⅟₂₇d³3√3 = ⅟₉d³√3
A coin is flipped two times and the number of heads is counted. Which of the following is a valid assignment
of probabilities for the number of heads observed in two flips?
8.
Number of heads
Probability
0
1/10
1
5/10
2
4/10
b.
Number of heads
0
1
2
Probability
1/4
2/4
1/4
C.
0
1
Number of heads
Probability
2
1/3
1/3
1/3
d. All answer options are correct
Answer:
5/10, 1, 2/4,
Step-by-step explanation:
calculate the arthmetic mean of 40,50,60,70,80,90.
9514 1404 393
Answer:
65
Step-by-step explanation:
The six numbers are sequential multiples of 10, so the mean is halfway between the middle two. Halfway between 60 and 70 is 65.
The mean of the 6 numbers is 65.
Please help!
Find the value of x for which ABCD must be a parallelogram.
Answer:
x=5
Step-by-step explanation:
5x-8=2x+7
5x-2x=7+8
3x=15
X=15/3
x=5
Answer:
5
Step-by-step explanation:
cause
angle c and angle a are alternate angle and alternate angle are always equal so 5X-8=2x+7
5x-2x=7+8
3x=15
or x=5
The circled ones I need help on
Please help I don’t get it
It’s asking if it’s equal to or not equal to
Answer:
Both questions seem to be equal
Step-by-step explanation:
1.12: X, Y, and Z are equal to A, B, and C since they are all variables.
1.13: 0 has the value of nothing so in a way that would mean it can equal the empty box.
I hope this helps. It is a bit confusing since I do not know the main objective.
Find the perimeter of a rectangle with a length of 6x+3 and a width of -2x-5.
[tex]\\ \rm\longmapsto Perimeter=2(L+B)[/tex]
[tex]\\ \rm\longmapsto Perimeter=2(6x+3-2x-5)[/tex]
[tex]\\ \rm\longmapsto Perimeter=2(4x-2)[/tex]
[tex]\\ \rm\longmapsto Perimeter= 8x-4[/tex]
3s(4 + 6)2 is an example of
Answer:
A. An Algebraic Expression
Step-by-step explanation:
Since we have no equal sign in the problem, we know that it is an expression. An equation has an equal sign and another value so we can simplify to find the value of whatever variable we are working with. We also know that it is not anything numerical because we are working with variables. With this information we will see that the correct answer is A.
Best of Luck!
Answer:
options A an algebraic expression
Step-by-step explanation:
please mark me brainleast
Please help with this equation:
4.5(8-x)+36=102-2.5(3x+24)
answer
x=14
Step-by-step explanation:
4.5(8-x)+36=102-2.5(3x+24)
36-4.5x+36=102-7.5x-60
-4.5x=42-7.5x
7.5x-4.5x=42
3x=42
x=42/3
x=14
The base of a triangle measures 12 1/2" (twelve and 1/2 inches). The height of the triangle is 27". What is the area (in square inches)?
(Remember A=1/2base x height)
Answer:
168.75 in²
Step-by-step explanation:
12.5 * 27 = 337.5
337.5/2 = 168.75
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
write down what you know from the markings
Answer:
YMCA means nothing without the A
Step-by-step explanation:
Simplify equation 9/-4-7i
Answer:
[tex] - \frac{36}{65} + \frac{63}{65} i[/tex]
Step-by-step explanation:
[tex] \frac{9}{ - 4 - 7i} [/tex]
➡️ [tex] \frac{9( - 4 + 7i)}{( - 4 - 7i) \times ( - 4 + 7i)} [/tex]
➡️ [tex] \frac{ - 36 + 63i}{16 - 49 {i}^{2} } [/tex]
➡️ [tex] \frac{ - 36 + 63i}{16 - 49 \times ( - 1) } [/tex]
➡️ [tex] \frac{ - 36 + 63i}{16 + 49} [/tex]
➡️ [tex] \frac{ - 36 + 63i}{65} [/tex]
➡️ [tex] - \frac{36}{65} + \frac{63}{65} i[/tex] ✅
Which of the following is equal to 3,409? A. ( 3 × 10 4 ) + ( 4 × 10 3 ) + ( 9 × 10 1 ) B. ( 3 × 10 3 ) + ( 4 × 10 2 ) + ( 9 × 10 0 ) C. ( 3 × 10 2 ) + ( 4 × 10 1 ) + ( 9 × 10 0 ) D. ( 3 × 10 3 ) + ( 4 × 10 2 ) + ( 9 × 10 1 )
Answer:
A=1633
B=1617
C=1610
D=1626
Step-by-step explanation:
I am not totally sure about 3409 ?
None of the following option sum up to 3400 or close.
What is sum ?Sum is addition
According to the question given we have to determine which of the following is 3409.
A. ( 3 × 104 ) + ( 4 × 103 ) + ( 9 × 101 )
= 312 + 412 + 909.
= 724 + 909
= 1633.
B. ( 3 × 103 ) + ( 4 × 102 ) + ( 9 × 100 )
= 309 + ......
C. 300 + 400 + 900 not sum up to 3400.
D. 300 + 400 + 900 again not sum up to 3400
So, none of the following options sum up to or sum up close to 3400.
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50% is 20% of what number?
Answer:
I think the answer is 30 percent
Find the length of Jl.
JI=2x - 6
KJ=2x - 15
KI=15
Answer:
x=12
Step-by-step explanation:
2x-15 + 2x-6 = 15
4x = 36
x = 9
2 x 9 - 6 = 12
i need help with this equation.
g= -2+2a
Answer: a= [tex]g+2 / 2[/tex]
Step-by-step explanation:
g= -2 + 2a
>> -2+2a=g ( side change )
>> -2+2a +2 = g+2 ( adding 2 both side)
>> 2a = g+2
>> 2a /2 = g+2 /2 ( divide by 2 both side)
>> a= g+2 /2
find the total distance the model airplane
Answer:
1833 miles is the total distance if the model airplane.
The following is the number of oil changes for the last 7 days at the Jiffy Lube located at the corner of Elm Street and Pennsylvania
Avenue.
41
15
39
54
31
15
33
Determine the mean, median, and mode. (Round "Mean" to 2 decimal places.)
Mean
Median
3257
54
Mode
Given:
[tex]\to \bold{41,15,39,54,31,15,33}[/tex]
Arrange numbers into ascending order:
[tex]\to \bold{15, 15, 31, 33, 39, 41, 54 }[/tex]
Mean formula:
[tex]M=\frac{\text{total of given number}}{\text{total number}}[/tex]
[tex]=\bold{ \frac{{15+ 15+ 31+ 33+ 39+ 41+ 54 }}{7}}\\\\= \bold{\frac{228}{7}}\\\\= \bold{32.57}\\\\[/tex]
Median formula:
n=7 that is an odd number then
[tex]=\bold{(\frac{n+1}{2})^{th}} \ term\\\\=\bold{(\frac{7+1}{2})^{th}} \ term\\\\=\bold{(\frac{8}{2})^{th}} \ term\\\\=\bold{(4)^{th}} \ term\\\\ =\bold{33}[/tex]
Mode:
As per the above-given definition its value =15
Learn more:
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What is the measure of the largest angle?
Answer:
90°
Step-by-step explanation:
The angles of a triangle have a sum of 180°.
x + 2x + 3x = 180
6x = 180
x = 30
Substitute the value for the largest variable.
3(30) = 90
Find the midpoint of points A(-4,0) and B(3,-10) graphically.
Answer:
(7,10)
Step-by-step explanation:
[tex]A=4\pi r^2[/tex]
Answer:
I have attached an image for the answer
please mark as brainliest thanks!
Answer:
i dont know, sorry
Step-by-step explanation:
Help help help please hurry
Answer:
1st is a cilinder
2nd is a sphere
3rd is a rectangle
4th is a cone
formulas for volume..maybe...
Answers will be auto-submitted when time expires.
1. Answer the question below. (1 point)
Which function is quadratic?
A
X
O
1
2
6
3
0
у
18
12
0
B
х
-3
-1
-2
1
-1
3
5
y
C
८x
-2
4
0
0
2
4
4
16
D
X
1
5
2
7
3
9
4
11
y
Ο Α
Answer:
Try taking a screen shot as this is indecipherable.
Step-by-step explanation: