9514 1404 393
Answer:
g) $6000 ($528.18 to principal)
h) $9,471.82
i) $5471.82
Step-by-step explanation:
You can make a chart, as you have started. Such a chart is often referred to as an amortization schedule. The basic idea would be to show how each payment is distributed to interest and principal. The attached shows such a spreadsheet (with a few rows hidden). It is described in more detail below.
__
g) The total amount paid is 24 payments of $250 each, so $6000. These payments reduced his amount owed by $528.18. (We don't know if "toward his credit card" means "to the creditor" or "to pay his debt".)
__
h) The amount still owed is $9,471.82 (the ending balance after the 24th payment)
__
i) $5,471.82 went toward interest.
_____
Spreadsheet details
The first "Beg Bal" is the $10,000 owed. Each one after that is copied from the "New Bal" cell on the previous line.
Each "to interest" quantity is the product of the beginning balance and the monthly interest rate. The cell reference to the interest rate needs to be an absolute reference, so it remains the same when copying the formula to other cells.
The "to Principal" amount is the difference between the payment amount and the amount "to interest." The reference to the payment amount cell also must be an absolute reference.
The "End Bal" amount is the difference between the "Beg Bal" and the amount "to Principal".
As you can see, the payment math is not difficult. There is one multiplication (by the interest rate) and the rest is subtraction.
Note that the numbers in this spreadsheet are rounded by the display. In a real payment situation, the interest due amount would be rounded to the penny before being used in other calculations. The way we have done it will result in a few cents difference in the ending balance from the value if the interest were actually rounded at each step.
Which of these is the algebraic expression for "5 less than 6 times some number?" (1 point)
6t − 5
5t − 6
5 − 6t
6 − 5t
7.
(06.03 LC)
What is the constant term in the expression 10xy + 9x2y + 8x + 7? (1 point)
7
8
9
10
Answer:
6t-5
x should be the constant term. just guess
Answer:
I think the answer is 6t-5 I don't really know.
Step-by-step explanation:
if 10 shirts cost $80, what is the unit rate (the cost of 1 shirt)?
Answer:
Each shirt is $8
Step-by-step explanation:
80÷10 = 8
Answer:
$8
Step-by-step explanation:
Form your equation, there are 10 shirts at x price, and they equal $80:
10x = $80
solve for x by dividing both sides by 10
10x/10 = $80/10
x = $8
3x + 3 = 129 what color
Answer:
yellow
Step-by-step explanation:
the answers 42
do 129-3 then divide 127/3 to get x
I need help fast I appreciate the help
Answer:
3/5
Step-by-step explanation:
Sin is opp/hyp so it would be 30/50 in lowest form it would become 3/5
Answer:
c. 3/5
Sin C = Perpendicular/ Hypotenuse
= 30 / 50
= 3/5
me ayudan por favor gracias
Answer:
49/4
Step-by-step explanation:
Answer:
10.5
Step-by-step explanation:
L2.10.2 Quir. Bisectors and Midsegments
The Dragram snOWS ARC When termes des point
M
O A. Circumcenter
O B. Incenter
O c. Centrold
O d. Orthocenter
Alfie has a £10 note
He buys 3 pens costing £1.45 each and
some pencils costing 90p each.
If Alfie gets £2.05 change, how many
pencils does he buy?
What is the answer?
Answer:
4 pencils
Step-by-step explanation:
3*1.45 = 4.35 ---> spent for the pens
( 10 -[ 4.35 + 2.05] ) = money spent on pencils
0.9x= 3.6
x=3.6/0.9 = 4
FIRST CORRECT ANSWER TODAY GETS BRAINLIEST!!!
If $a+b = 8$, $b+c = -3$, and $a+c = -5$, what is the value of the product $abc$?
Answer:
a = 3
b = 5
c = -8
abc = -120
Step-by-step explanation:
Answer:
-120
Step-by-step explanation:
sorry just looked at the answer below *HAXZ*:)
The number of leaves that fall off a tree n days after day 1 is given by the function f (n) = 3(2)".
What does the value 3 mean in this function?
A. On the first day, 3 leaves fall.
OB. On the second day, 3 leaves fall.
C. The number of leaves that fall on a given day is 3 times the number of leaves that fell on the first day.
D. The number of leaves that fall on a given day is 3 times the number of leaves that fell on the previous day.
What does the value 2 mean in this function?
A. On the first day, 2 leaves fall.
B. On the second day, 2 leaves fall
C. The number of leaves that fall on a given day is 2 times the number of leaves that fell on the first day.
D. The number of leaves that fall on a given day is 2 times the number of leaves that fell on the previous day.
Answer:
A. On the first day, 3 leaves fall.
B. D. The number of leaves that fall on a given day is 2 times the number of leaves that fell on the previous day.
Step-by-step explanation:
Given
[tex]f(n) = 3(2)^n[/tex]
Solving (a) The meaning of 3.
3 represents the initial number of leaves (i.e. the first day) and this proved as follows.
On the first day, n = 0.
Substitute 0 for n in [tex]f(n) = 3(2)^n[/tex]
[tex]f(0) = 3(2)^0[/tex]
[tex]f(0) = 3*1[/tex]
[tex]f(0) = 3[/tex]
Solving (b) The meaning of 2.
2 represents the rate which leaves fall down.
In (a)
[tex]f(0) = 3[/tex]
Take n = 1
Substitute 1 for n in [tex]f(n) = 3(2)^n[/tex]
[tex]f(1) = 3(2)^1[/tex]
[tex]f(1) = 3*2[/tex]
[tex]f(1) = 6[/tex]
When f(1) is divided by f(0), the result 2. So, the number of leaves doubles everyday
what is 90divided by 5
a 91.5 kg football player running east at 2.73 m/s tackles a 63.5 kg player running west at 3.09 m/s. what is their velocity afterward?
Answer:
2.88m/s
Step-by-step explanation:
By using the law of conservation of momentum
Initial momentum = final momentum
v = is their combined velocity afterwards
Solving equation (1) for v
V = 2.88 m/s
Therefore the velocity afterward is 2.88 m/s.
Answer:
0.348
Step-by-step explanation:
acellus
*PLEASE ANSWER!! ITS CONFUSING*
Tickets to the play on Saturday were $40.00. On Sunday they went on sale for 15% off. How much were the discounted tickets?
a.) $32.00 a ticket
b.) $39.00 a ticket
c.) $34.00 a ticket
Answer:
C
Step-by-step explanation:
40× 15 out of 100 =6
40-6=34
Answer:
c.) $34.00 a ticket
Step-by-step explanation:
Since you're trying to figure out how much a discounted ticket is you have to take the 15% off. So 15% of 40 is 6. Now take the 6 off of 40 (40-6) you will get 34. So the answer is $34.
I hope this helps!
simplify fully 4x-8x^2/12x-6
Answer:
- [tex]\frac{2}{3}[/tex] x
Step-by-step explanation:
Given
[tex]\frac{4x-8x^2}{12x-6}[/tex] ← factorise numerator and denominator
= [tex]\frac{4x(1-2x)}{6(2x-1)}[/tex] ← factor out - 1 from (1 - 2x) on numerator
= [tex]\frac{-4x(2x-1)}{6(2x-1)}[/tex] ← cancel the common factor (2x - 1)
= [tex]\frac{-4x}{6}[/tex] ← cancel 4 and 6 by 2
= - [tex]\frac{2}{3}[/tex] x
Simplifying the expression will give us: [tex]\frac{4x-8x^2}{12x-6} = \frac{-2x}{3}[/tex]
Given the expression, [tex]\frac{4x-8x^2}{12x-6}[/tex], we are required to simplify the expression as follows:
Step 1: Factorize the denominator and the numerator.
[tex]\frac{4x-8x^2}{12x-6}\\\\=\frac{(1 - 2x)4x}{(2x - 1)6}[/tex]
Step 2: Rewrite the fraction by factoring out -1 from the numerator.
[tex]=\frac{(2x - 1)-4x}{(2x - 1)6}[/tex]
Step 3: Divide the numerator and denominator by (2x - 1) respectively.
[tex]=\frac{-4x}{6}[/tex]
Step 4: Divide the numerator and denominator by 2 respectively.
[tex]=\frac{-2x}{3}[/tex]
Therefore, simplifying the expression will give us: [tex]\frac{4x-8x^2}{12x-6} = \frac{-2x}{3}[/tex]
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which fraction is written in simplest form?
Answer:
C. and B.
Step-by-step explanation:
Hope this helps:>
Answer:
5/12
Step-by-step explanation:
11/22 becomes 1/2
18/24 becomes 3/4
5/15 becomes 1/3
can some one help me with this??
if -2x + 3 = 7 and 3x + 1 = 5 + y the volume of y is
Answer:
2
Step-by-step explanation:
i did it
Solve this system equation y=4x+2, x=3
Answer:
y=14
Step-by-step explanation:
Put the x value where it belongs
y=4(3)+2 Now do the math ( id.k what to say here for the problem other than that lol)
y=12+2
y=14
Answer:
(3, 14).
Step-by-step explanation:
Plug x = 3 into the first equation:
y = 4(3) + 2
y = 12 + 2
y = 14
So x = 3, y = 14.
Evaluate the expression 9z – 4 for z = 3.
Answer:
27 is the final answer
Step-by-step explanation:
9z-4=
9(3)-4=
27-4=
please help im struggling im not very good at math because im an overthinker
Answer:
so.....how can i help you?
Step-by-step explanation:
PLEASE WILL GIVE BRAINLEST \
Answer:
First statement is wrong
Step-by-step explanation:
Forgive me if I am wrong
Answer:
The first 1 is false
Step-by-step explanation:
Cuz -1 1/5 = -6/5 = -1.2
and -1.2 is bigger than -1.5 not smaller
2, 1.7 > 1.5 true
3, 3/4 = 0.75. 7/8 = 0.875
so 7/8 > 3/4
4, 1/100 is less than 1/10
Identify the graph containing the point (1,−5) .
Answer:
we need a picture
Step-by-step explanation:
can you help me solve this
The equation does not fit the table
Using the Parallelogram Side Theorem Parallelogram A B C D is shown. Sides A B and D C are parallel. The length of A B is 4 q minus 8 and the length of D C is q + 4. What is the length of side AB of parallelogram ABCD? units
Answer: The length of AB = 8 units
Step-by-step explanation:
Given: In parallelogram ABCD, Sides A B and D C are parallel.
The length of AB is 4q minus 8 and the length of DC is q + 4.
Since opposite sides of parallelogram is parallel and equal.
So [tex]4q-8=q+4[/tex]
[tex]\Rightarrow\ 4q-q=4+8\\\\\Rightarrow\ 3q=12\\\\\Rightarrow\ q=4[/tex]
Length of AB = 4q-8=4(4)-8=16-8=8 units
Hnece, the length of AB = 8 units
What is the surface area of this shape?
1 cm
5 cm
4 cm
2 cm
6 cm
3 cm
How do you find the vertex
Parabolas always have a lowest point (or a highest point, if the parabola is upside-down). This point, where the parabola changes direction, is called the "vertex". If the quadratic is written in the form y = a(x – h)2 + k, then the vertex is the point (h, k).
A checkbook balance sheet shows an initial balance for the month of $300. During the month, checks were written in the amounts of $25, $82, $213, and $97. Deposits were made into the account in the amounts of $84 and $116. What was the balance at the end of the month?
Answer:
your answer is 200 if you add 84 and 116 but is you add 25 82 213 and 97 it will be 417
Step-by-step explanation:
The balance at the end of the month is $83.
Checkbook balance = $300
Amount withdrawn = $25 + 82 + $213 + $97 = $417
Amount deposited = $84 + $116 = $200
Therefore, the balance at the month end will be:
= $300 - $417 + 200
= $83
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Daniel wants to order shirts on the internet. Shirts cost $20.00 and shipping on all orders is $10.99. Daniel has $50 to spend.
Answer:
$31.00
Step-by-step explanation:
20+10=30=1 (tax)
Mr. Shahoian needs to replace the 166.25 ft of fencing around the flower beds in his backyard. The fencing is sold in lengths of 19 ft each. How many pieces of fencing will Mr. Shahoian need to purchase to have enough for the job needed?
Answer: Mr. Shahoian need to purchase 9 pieces of fencing.
Step-by-step explanation:
Given: Length of fencing around the flower beds in his backyard = 166.25 ft
The fencing is sold in lengths of 19 ft each.
Number of pieces of fencing = (Length of fencing ) ÷ (19)
i.e. Number of pieces of fencing = 166.25 ÷ 19
= 8.75 ≈ 9
Hence, Mr. Shahoian need to purchase 9 pieces of fencing.
If we had a Pyramid with a hexagonal base, how many of these pyramids would it take to fill up a hexagonal Prism with a congruent base, and equal height?
Answer:
3 of the pyramids
Step-by-step explanation:
Given:
Hexagonal Prism
Hexagonal based pyramid
Required
How many of the pyramid will fill up the prism
To do this, we start by calculating the volumes of both shapes.
Let V1 be the volume of the hexagonal prism
[tex]V_1 = \frac{3\sqrt{3}}{2}a^2h[/tex]
Where: a = base and h = height
Let V2 be the volume of the hexagonal based pyramid
[tex]V_2 = \frac{\sqrt{3}}{2}a^2h[/tex]
Where: a = base and h = height
The number of the pyramid that can occupy the prism is calculated by dividing V1 by V2
[tex]Number = \frac{V_1}{V_2}[/tex]
[tex]Number = \frac{3\sqrt{3}}{2}a^2h /\frac{\sqrt{3}}{2}a^2h[/tex]
Convert division to multiplication
[tex]Number = \frac{3\sqrt{3}}{2}a^2h * \frac{2}{\sqrt{3}a^2h}[/tex]
[tex]Number = \frac{3\sqrt{3}}{2} * \frac{2}{\sqrt{3}}[/tex]
[tex]Number = \frac{3\sqrt{3}}{1} * \frac{1}{\sqrt{3}}[/tex]
[tex]Number = \frac{3*1}{1} * \frac{1}{1}[/tex]
[tex]Number = 3[/tex]
Graph this function:
y = 3x + 4
Answer:
(0,−4)
Step-by-step explanation: