Answer:
The amount more in interest she will pay if she choose 8 years instead of 5 years loan is approximately $2,665.92
Step-by-step explanation:
The total worth of debt Crystal has. P = $23,000
The options on the number of years for which the loans for consolidation are available, t = 5 and 8 years
n = 12 × t = The number of monthly payment = 12×5 = 60 or 12 × 8 = 96
The annual percentage rate of the loans, r = 6.75% = 0.0675
The monthly payments, 'M', Crystal pays is given as follows;
[tex]M = \dfrac{P \cdot \left(\dfrac{r}{12} \right )\cdot \left ( 1 + \dfrac{r}{12} \right)^{n} }{\left ( 1 + \dfrac{r}{12} \right)^{n} - 1}[/tex]
When n = 60, we get;
[tex]M = \dfrac{23,000 \times \left(\dfrac{0.0675}{12} \right )\cdot \left ( 1 + \dfrac{0.0675}{12} \right)^{60} }{\left ( 1 + \dfrac{0.0675}{12} \right)^{60} - 1} \approx 452.72[/tex]
The total amount payed, A = M × n
∴ The total amount payed when n = 60 is, A₅ = 452.72 × 60 = 27163.2
A₅ ≈ $ 27,163.2
The interest on the loan, I₅ = A₅ - P
∴ I₅ = $27,163.2 - $23,000 = $4,163.2
When n = 80, we get;
[tex]M = \dfrac{23,000 \times \left(\dfrac{0.0675}{12} \right )\cdot \left ( 1 + \dfrac{0.0675}{12} \right)^{96} }{\left ( 1 + \dfrac{0.0675}{12} \right)^{96} - 1} \approx 310.72[/tex]
∴ The total amount payed when n = 80 is, A₈ = 310.72 × 96 = 29,829.12
A₈ = $ 29,829.12
The interest on the loan, I₈ = A₈ - P
∴ The interest on the loan, I₈ = 29,829.12 - 23,000 = 6,829.12
The interest Crystal pays when takes the loan for 8 years, I₈ = $6,829.12
Therefore, the amount more interest she will pay if she choose 8 years instead of 5 years loan, ΔI = I₈ - I₅
ΔI = $6,829.12 - $4,163.2 = $2,665.92
The amount more interest she pays if she choose 8 years instead of 5 years loan, ΔI = $2,665.92.
What is the positive solution to this equation?
4x2 + 12x = 135
Answer:
9/2
Step-by-step explanation:
PLEASE HELP PELASE
For ΔABC, the measure in degrees of angles A, B, and C are 60, 55, and x + 20 respectively. What is the value of x?
A.
65
B.
45
C.
95
D.
25
Answer:
B.45
Step-by-step explanation:
A sum of all angles in a triangle is 180°55+60+x+20=18060+55=115
180-115=65
65-20=45
Answer: 45°
PLEASE HELP ASAPPPP THANK YOU IF YOU HELP
Answer: the area of the whole shape is 0.77. hope this helped.
Step-by-step explanation:
This trapezium is drawn on a centimetre grid.
Find the area of the trapezium.
Answer:
20 cm^2
Step-by-step explanation:
A= 1/2 ×height
height = 4 cm
sides S1= 7cm
S2= 3cm
A= 1/2(7+3)4
=5×4
=> 20 cm
hope it helps..
have a great day!!
The first three terms of a geometric sequence are as follows.
160, 80, 40
What is the next two terms of this sequence
Answer:
20, 10
Step-by-step explanation:
This sequence is dividing by 2. Therefore, 40 divided by 2 is 20 and 20 divided by 2 is 10
I need help on these 4 questions. Please someone help me. Don’t put a link. Please help me.
Answer:
Median: b
Altitude: c
Angle bisector: a
Perpendicular bisector: d
Step-by-step explanation:
Find the distance between points.
Answer:
3
Step-by-step explanation:
Determine the value of k so that the following system has an infinite number of solutions.
10x+ky=-8
-15x-6y=12
ILL DO A POINT GIVEAWAY IF SOMEONE ANSWERS THIS
what is the value of d to the nearest hundredth
Step-by-step explanation:
This can be done by using the trignometric ratio of tangent in the ∆DEF . The two of its sides along 90° are 7.2 and d .
• In ∆ DEF :-
[tex]\tt\to tan42^o = \dfrac{EF}{ED}\\\\\tt\to tan42^o =\dfrac{d}{7.2}\\\\\tt\to 0.9 = \dfrac{d}{7.2}\\\\\tt\to d =7.2\times 0.9\\\\\tt\to\boxed{\orange{\tt d = 6.48 }}[/tex]
. If three angle of a quadrilateral are in the ratio 2: 3: 5 and fourth angle is 130
find the angles
Answer:
Step-by-step explanation:
So let the angles be 2x,3x,5x
∠A + ∠B + ∠C + ∠C = 360
[Sum of all the angles of a quadrilateral ]
⇒2x+3x+5x+130=360
⇒10x = 360 -130
⇒x = 23
The angles are ,
∠A = 2x = 2×23 = 46
∠B = 3x = 3×23 = 69
∠C = 5x = 5×23=115
Let the angles be 2x,3x and 5x
We know that 2x+3x+5x+130=360
10x+130=360
10x=230
Therefore x=23°
2x=46°
3x=69°
5x=115°
Hope it helped! Have a nice day!!
PLEASE HELP NOW! I WILL MARK BRAINLIEST!
Answer:
17 units
Step-by-step explanation:
Given 2 congruent chords in the circle, then they are equidistant from the centre and perpendicular
There is a right triangle formed by legs 15 and 8, with radius r being the hypotenuse.
Using Pythagoras' identity in this right angle
r² = 15² + 8² = 225 + 64 = 289 ( take the square root of both sides )
r = [tex]\sqrt{289}[/tex] = 17
What is the slope for this question?
Answer:
[tex]-1[/tex]
Step-by-step explanation:
This is a really nice line that goes through a lot of grid points (where the lines intersect).
One easy way to find the slope is the phrase "rise over run." "Rise" is the name for vertical motion from point-to-point. "Run" is the name for horizontal motion from point-to-point.
Pick two easy points on the line, say (0, 0) and (1, -1).
If you go from (0, 0) to (1, -1), the rise is -1 -- because you went DOWN 1 unit.
The run is 1 -- because you went RIGHT 1 unit.
[tex]\frac{\text{rise}}{\text{run}} =\frac{-1}{1} =-1[/tex]
The slope is -1.
Cool fact: You'll get the same value if you use any two points on the line.
Ms. Carey grades 4 tests during her lunch. She grades 1/3 of the remainder after school. If she syill5has 16 test to grade after school, how many test are there?
Answer: 24 tests
Step-by-step explanation:
Ms. Carey graded 1/3 of the tests and still had 16 tests to go.
This means that the 16 tests represent the remaining proportion of the total number of tests:
= 1 - 1/3
= 2/3
2/3 of the total is equal to 16 tests. Assuming the total is x, the expression would be:
2/3x = 16
x = 16 ÷ 2/3
x = 16 * 3/2
x = 24 tests
If all the edge lengths of a rectangular prism are multiplied by a scale factor of 2, how does the volume change?
Answer:
it's Answer is option B
Step-by-step explanation:
The new volume is 4 times the old volume
Lisa's garden has tulips and roses. Find the area of the part with tulips.
Answer:
(5×7)-(2×3×2)=35-12
=23m²
Which table shows a linear function?
Here’s the Question that I have to do.
Answer:
d. 4,096
Step-by-step explanation:
i hope this helps :)
least common multipul
ANSWER:
From 2 to 10=
Explanation:
2/2/10
5/1/5
/1/1
Please help me with this! Anything will be appreciated!! :)
Elena can make 15 pizzas in 3 hours. If the number of pizzas is represented by p and time is represented by t, Write an equation that shows the total number of pizzas made in terms of time.
p = 5t
3t = 15p
p/t = 15
p = 1/5t
Answer:
p = 5t
Step-by-step explanation:
We'll check by plugging in t = 3 and p has to equal 15
p = 5t ✅
p = 5(3)
p = 15
3t = 15p ❌
3(3) = 15p
9 = 15p
p = 15/9 = 5/3
p/t = 15 ❌
p/3 = 15
p = 45
p = 1/5t ❌
p = 1/5(3)
p = 3/5
A function is a relation in which every input has exactly one output. Which choice represents a function?
You work for an electric company and make a base pay of $200 every two weeks. You earn and extra $15 for each hour you work. Write a function to model this scenario using f(h) for the amount of money made and h for the hours of worked
Answer:
a
Step-by-step explanation:
Alex’s father is 5 times older than Alex and Alex is twice as old as his brother Nick who is 5 years old. How old is Alex's father?
years old
Answer:
50
Step-by-step explanation:
Alex is 10 years old because he is twice as old as his 5 year old brother. Therefore Alex's father is 50 years old because he is five times older than Alex.
i need help fast geometry is impossible
Answer:
D. 8Step-by-step explanation:
DC = AC = x is the radiusUsing the Pythagorean theorem, find x:
(x + 9)² - x² = 15²x² + 18x + 81 - x² = 22518x = 225 - 8118x = 144x = 144/18x = 8What are possible coordinates of point F if ΔDEF is congruent to ΔABC? (–1,4) (4,–1) (0,–1) (–1,0)
Answer:
(-1, 4)
Step-by-step explanation:
Hope this helps
Answer:
a
Step-by-step explanation:
how would I answer this question?
Answer:
x = 16Step-by-step explanation:
Angle formed by two chords is the half of the sum of the intercepted arcs:
7x + 3 = 1/2(152 + 78)7x + 3 = 1157x = 112x = 112/7x = 16Don drives his car 25 km east and then 312 km south. How far is he from his starting point? Round to the nearest tenth.
The half-life of a radioactive kind of neodymium is 11 days. If you start with 2,616 grams of it, how much will be left after 22 days?
Answer:
654 grams
Step-by-step explanation:
When you set up this equation you want the number of grams you start with, 2616, and the factor by which it is decreasing, which is half, or 1/2. Because the half life is 11 days, but you want to find the amount left over after 22 days, you can make 22/11 as the exponent on the 1/2. The equation should look like this : 2616(1/2)^22/11. With these kinds of equations you always want to multiply the starting value by the factor of increase/decrease, and raise that factor to the time eclipsed divided by the set time(like the 11 day half life).
Fill in the blanks with the correct words:
An event that has probability O is said to be
An event that has probability 1 is said to be
Answer:
Impossible; certain to happen
Step-by-step explanation:
Probability = 0 applies to an event which cannot happen. Example: roll a die and get a 7.
Probability = 1 applies to an even which is certain to occur. Example: roll a die and get a number less than 8.
Which of the following describes the data set?
6, 7, 11, 14, 20, 30, 35
A. Minimum = 14
First quartile = 6
Median - 25
Third quartile = 35
Maximum = 35
B. Minimum = 35
First quartile = 11
Median = 25
Third quartile = 38
Maximum = 6
C. Minimum = 6
First quartile = 7
Median = 14
Third quartile = 30
Maximum = 35
D. Minimum = 6
First quartile = 35
Median = 25
Third quartile = 11
Maximum = 30
