Using simple interest, it is found that she has to pay $24,300 more in interest.
The amount of money after t years, in simple interest, is given by:
[tex]A(t) = P(1 + kt)[/tex]
In which:
P is the principal.k is the interest rate, as a decimal.t is the time, in years.In this problem:
Loan of $45,000, thus [tex]P = 45000[/tex].6 years, thus [tex]t = 6[/tex].The amount with 15% interest is:
Here, [tex]k = 0.15[/tex]
[tex]A(6) = 45000[1 + 0.15(6)] = 85,500[/tex]
The amount with 6% interest is:
Here [tex]k = 0.06[/tex].
[tex]A(6) = 45000[1 + 0.06(6)] = 61,200[/tex]
The difference is:
85,500 - 61,200 = 24,300
She has to pay $24,300 more in interest.
A similar problem is given at https://brainly.com/question/24989537
Answer:
I cracked the code on my journey to find the correct answer to this problem
The answer is D or $14,814.00
Step-by-step explanation:
This is more than simple interest, this is something to do with amortization
this is a monthly payment calculator for a car loan
[tex]A=p\cdot\frac{\left(r\left(r+1\right)^{n}\right)}{\left(\left(1+r\right)^{n}-1\right)}\\[/tex]
This isn't exactly what we are looking for since we aren't looking for monthly payments but this can still help.
So our variables are [tex]p=45,000[/tex], where p is for principle
r is the loan rate in monthly terms or divide the interest by 12 which is [tex]r=0.0125[/tex] for when 15% is interest and [tex]r=0.0005[/tex] when 6% is interest.
and n is years times 12 or monthly periods involved so [tex]n=72[/tex]
so our equation is [tex]45000\cdot\frac{\left(0.00125\left(0.00125+1\right)^{72}\right)}{\left(\left(1+0.00125\right)^{72}-1\right)}[/tex]
which is equal to 951.53
This number is our monthly payment
so for the full cost is [tex]951.53*12*6[/tex]
that equals 68510.16
now for when interest is equal to 6%
[tex]45000\cdot\frac{\left(0.0005\left(0.0005+1\right)^{72}\right)}{\left(\left(1+0.0005\right)^{72}-1\right)}[/tex]
this is equal to [tex]745.78*12*6[/tex]
so for the full cost is
so the extra interest is equal to the larger number minus the smaller one
[tex]68510.16-53696.16[/tex]
which equals
14,814.00 exactly
*mic drop
PLEASE HELP!! ILL MARK BRAINLYEST!!
Which type of graph would you choose to show the number of home runs hit by each player compared to the team total?
A. histogram
B. bar graph
C. circle graph
D. line graph
Answer:
Bar graph
Step-by-step explanation:
if it helps don't forget to like and mark me down
Answer:
Bar Graph
Step-by-step explanation:
determine equation for line that is perpendicular to x=-2 and passes through the point (6,1)
Answer:
y = 1
Step-by-step explanation:
What is the 11th term of the geometric sequence: -2, 10, -50, 250, ...
Answer:
6144
Step-by-step explanation:
I have to have a lot of words so how you doing, great ok bye now good luck
Find dy/dx in the following
1) y=x^[10] +10^[x] +e^[x]
2) y=㏒ x +e^[x]+√x - 1/x
1. in picture 1
2. in picture 2
Hope this helps :T
Also I am not so shure about 2, but I am 98% shure 1 is right.
Which equation represents a line which is perpendicular to the line
7x + 3y = -18?
Oy=7/3x +1
Oy= 3/7 x + 5
Oy= - 3/7 x + 2
Oy= -7/3 x + 6
Answer: y=3/7x + 5
Step-by-step explanation:
The solution is, y = 3/7 x + 5, equation represents a line which is perpendicular to the line 7x + 3y = -18.
What is slope?In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).
here, we have,
we know that,
In order to determine the equation with a line perpendicular to the given equation, consider that for two perpendicular lines, the relation in between their slopes is:
m1 = -1/(m2)
where m1 and m2 are the slopes of the lines.
Write the given equation in slope-intercept form to identify the slope m1, as follow:
7x + 3y = -18 subtract 7x both sides
3y = - 7x - 18 divide by 3 both sides
y = -7/3 x - 6
remind that the general form of the equation of a line can be written as follow:
y = mx + b
where m is the slope. Based on the expression for y = -7/3 x - 6, you have
m1 = -7/3
then, calculate m2:
m2 = -1/(m1)
m2 = -1/(-7/3)
m2 = 3/7
Hence, it is necessary that the perpendicular line has a positive slope of 3/7.
From the given answer choices, you can notice that the only option with the required slope is:
y = 3/7 x + 5
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PLEASE HELP!! What do most marketing entrepreneurs do to prepare to launch their
businesses? (this is actually business not math but)
Marketing entrepreneurs choose a marketing niche first to prepare to launch their business. Thus, option B is correct.
What is marketing niche?The portion of a market that a particular product is targeted toward is called a niche market. The product's market niche determines its price range, level of production, target demographics, and feature set that is intended to address a particular market need. Additionally, it is a small market sector. A product or service may occasionally be created specifically to meet the needs of a niche market.
Not all products can be classified by their market niche. The highly specialised niche market competes against numerous super companies and strives to remain viable. Even well-known companies develop products for specific markets; Hewlett-Packard produces separate machines in addition to all-in-one printing, scanning, and faxing units that are aimed at the home office market.
Learn more about market niche
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Answer: Choose a marketing Niche
Step-by-step explanation: Just took the quiz
1 Jason writes 42(x - 35) + 18 on the board. What did Jason write?
A)
An example of the associative property
B)
An inequality
C)
An expression
D)
An equation
Answer:
C. an expression
Step-by-step explanation:
In a lab experiment, the decay of a radioactive isotope is being observed. At the beginning of the first day of the experiment the mass of the substance was 1300 grams and mass was decreasing by 6% per day. Determine the mass of the radioactive sample at the beginning of the 8th day of the experiment. Round to the nearest tenth (if necessary).
The mass of the radioactive sample at the beginning of the 8th day of the experiment a_13=310.7.
In a lab experiment, the decay of a radioactive isotope is being observed.
At the beginning of the first day of the experiment, the mass of the substance was 1300 grams and the mass decreased by 6% per day.
What is the formula of the nth term?
[tex]a_n=a_1r^{n-1}[/tex]
Use the given value in the formula so we get,
[tex]a_{13}=1100(0.9)^{13-1}[/tex]
Simplify the given term
[tex]a_{13}=310.7[/tex]
Therefore, The mass of the radioactive sample at the beginning of the 8th day of the experiment a_13=310.7.
To learn more about the nth term visit:
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Answer:
389
Step-by-step explanation:
Find the value of x.
A=4 b=3 and c=2 work out 2b-3ac
Answer:
-18
Step-by-step explanation:
2b-3ac
2(3)-3(4×2)
6-3(8)
6-24
-18
Please Help!!!
The 2 questions are attached below.
Answer:
C. 80
Step-by-step explanation:
Hope This Helps! : )
You have 3 red marbles, 5 green, and 2 blue marbles. What is the probability of pulling a blue marble and then replacing the first marble and then grabbing a green marble?
(As a percent)
Answer:
I think it's [tex]\frac{7}{10}[/tex].
Why 7/10?
Well, the probability of pulling out a blue marble + pulling out a green marble is also written as [tex]\frac{2}{10} +\frac{5}{10}=\frac{7}{10}[/tex]
A light bulb consumes 1800 watt-hours per day. How long does it take to consume 8100 watt-hours?
Answer:
8100/1800 = 4.5 days
Step-by-step explanation:
PLS HELP ASAP RNNN FASTT
Answer:
It is the first answer
Step-by-step explanation:
Because you are multiplying which also means (product of something).
PLEASZE HELP ILL GIVE BRAINLIEST
solve the system by substitution 3x-y=10 2x=y
Answer
X=10 and y=20
Step-by-step explanation:
since y=2x, you need to substitute that into the equation to get:
3x-(2x)=10
And evaluate:
x=10
Then substitute 10 into the equation: 2x=y:
2(10)=y
evaluate:
20=y
Now go back to the original equation to check your answer and substitute the values in:
3(10)-(20)=10
30-20=10
10=10
Which list of numbers is ordered from greatest to least?
A. –2 1/5, 2 1/4, 2.23, –2
B. 2 1/4, 2.23, –2, –2 1/5
C. –2, –2 1/5, 2 1/4, 2.23
D. –2 1/5, –2, 2.23, 2 1/4
Answer: B
Step-by-step explanation:
2 1/4 in decimal form: 2.25
-2 1/5 in decimal form: 2.20
B converted into decimals: 2.25, 2.23, -2, -2.20
A graph of a system of two equations is shown. PLEASE HELP!!!!!
Answer:
(-4.5, 1.5)
Step-by-step explanation:
please help me ahhh im doing 8th grade math with pythagorean theorem
The first term of an arithmetic sequence is -3 and the fifteenth term is 53. What is the common difference of the sequence?
A) 14/13
B) 25/7
C) 4
Answer:
C) 4Step-by-step explanation:
The nth term of arithmetic sequence is [tex]a_n=a_1+d(n-1)[/tex]
So:
[tex]a_{15}=a_1+d(15-1)\\\\53=-3+14d\\\\56=14d\\\\d=\dfrac{56}{14}=4[/tex]
how do I do probabillty
Answer:
Divide the number of events by the number of possible outcomes. This will give us the probability of a single event occurring. In the case of rolling a 3 on a die, the number of events is 1 (there's only a single 3 on each die), and the number of outcomes is 6.
Answer:
what the other guy said
Step-by-step explanation:
Mhanifa can you please help me? This is due asap! Look at the picture attached. I will mark brainliest!
Answer:
1. a = 16, b = 14
2. a = 16.5, b = 23.2
3. a = 7.25, b = 6.5
4. a = 8.4, b = 20
Step-by-step explanation:
Problem One:
2a + 6 = 3a - 10
6 = a - 10
16 = a
6b - 3 = 81
6b = 84
b = 14
Problem Two:
4a - 8 + 8a - 10 = 180
12a - 18 = 180
12a = 198
a = 16.5
8(16.5) - 10 = 5b + 6
122 = 5b + 6
116 = 5b
b = 23.2
Problem Three:
5b - 7 = 3b + 6
2b - 7 = 6
2b = 13
b = 6.5
2a = 3(6.5) - 5
2a = 14.5
a = 7.25
Problem Four:
3a + 1.8 = 4a - 6.6
1.8 = a - 6.6
8.4 = a
10(b + 8) = 10(1.4b)
10b + 80 = 14b
80 = 4b
20 = b
Answer:
Properties of a parallelogram
Opposite sides and angles are congruentDiagonals bisect each otherAdjacent interior angles are supplementary#13Opposite sides
2a + 6 = 3a - 10 ⇒ 3a - 2a = 6 + 10 ⇒ a = 166b - 3 = 5*16 + 1 ⇒ 6b = 81 + 3 ⇒ b = 84/6 ⇒ b = 14#14Opposite and adjacent angles
(4a - 8) + (8a - 10)= 180 ⇒ 12a= 180 + 18 ⇒ 12a= 198 ⇒ a= 16.5°5b + 6 = 8*16.5 - 10 ⇒ 5b = 122 - 6 ⇒ 5b = 116 ⇒ b = 116/5 ⇒ b = 23.2°#15Diagonals
5b - 7 = 3b + 6 ⇒ 5b - 3b = 6 + 7 ⇒ 2b = 13 ⇒ b = 6.52a = 3*6.5 - 5 ⇒ 2a = 14.5 ⇒ a = 7.25#16Opposite sides and alternate interior angles
1.4b = b + 8 ⇒ 0.4b = 8 ⇒ b = 8/0.4 ⇒ b = 203a + 1.8 = 4a - 6.6 ⇒ 4a - 3a = 1.8 + 6.6 ⇒ a = 8.4Simplify the following expression: 3n-6+7y+5n
Answer:
8n-6=7y=5n
Step-by-step explanation:
combine like terms
PLEASE HELP I’LL GIVE BRAINLIEST
Since they are parellel sides it will be efficiet as 13. Answer is 13.
Hope this helped ( thx if you give branliest as well)
Answer:
The answer would be 38.6
Step-by-step explanation:
Because you have to find the circumference of the half circles which would be 12.57 together then you add the two sides (13) together which would just be 38.57, but rounding up will make it 38.6.
Brainliest?
Please Answer!!! (I Give Brainliest!)
Answer:
48º
Step-by-step explanation:
Does anyone know the answer to this?!
Answer:
65°
Step-by-step explanation:
Properties of a triangle:
Triangles always have 3 sidesThe sum of the interior angles of a triangle must be equal to 180°.To solve:
Since the angles inside of a triangle must always be equal to 180, use the following formula to solve:a + b + c = 180(The variables can be assigned to any value in this situation)Since two angles are already given, replace 2 variables:a + 85 + 30 = 180Solve the equation by subtracting on both sides:a = 65The value of a is the measure of the missing angle. The problem is solved.Answer:
the missing angle is 65
Step-by-step explanation:
a whole triangle is 180
subtract the given angles from 180
180
- 85
----------
95
subtract the remaining angle
95
- 30
---------
65
~hope this helped :3~
can you guys help me with this i am down to my last nerve
Answer:
(-1, 1)
Step-by-step explanation:
um i kinda feel like i got it wrong buuuuuuut yea
y=x²+2x+2
First, we should try to change the last number in a way so we can factor the entire thing
y=x² + 2 x + 1
tooo make it look like y=(x + 1 )²
the only difference between the original y=x² + 2x + 2
and the factor-able y=x² + 2x + 1 is simply changing the
2 to a 1 (Since we can't randomly change the 2 to a 1, we can add 1 and subtract a 1 to the equation at the same time to keep it balanced.)
ummmmm yeeaaa <3
Which measurement is closest to the area of the circle in square feet?
Answer:
314
Step-by-step explanation:
search "what is the area of a circle if the radius is 10"
A 100 foot wire is extended from the
ground to the top of a 60 foot pole,
which perpendicular to ground level.
Find, to the nearest degree, the
measure of the angle that the wire
makes with the ground.
The angle that the wire makes with the ground is 36.87° with horizontal.
What is a trigonometric function?The fundamental 6 functions of trigonometry have a range of numbers as their result and a domain input value that is the angle of a right triangle.
The trigonometric function is very good and useful in real-life problems related to the right-angle triangle.
The given situation is making a right-angle triangle,
By Pythagoras' theorem in the triangle.
Base = √(100² - 60²) = 80 foot
By tan trigonometric function,
tanx = 60/80
x = 36.87°
Hence "The wire's angle with the ground is 36.87° with respect to the horizontal".
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t=4s+2 complex tablet
Answer:
Value of t = 2 when value of s = 0
Value of t = 6 when value of s = 1
Value of t = 10 when value of s = 2
Value of t = 14 when value of s = 3
Step-by-step explanation:
Given Equation:
t = 4s + 2
Complete the table if values of s are as follows;
s = 0
s = 1
s = 2
s = 3
Computation:
t = 4s + 2
By putting s = 0
So,
t = 4s + 2
t = 4(0) + 2
t = 0 + 2
Value of t = 2 when value of s = 0
By putting s = 1
So,
t = 4s + 2
t = 4(1) + 2
t = 4 + 2
Value of t = 6 when value of s = 1
By putting s = 2
So,
t = 4s + 2
t = 4(2) + 2
t = 8 + 2
Value of t = 10 when value of s = 2
By putting s = 3
So,
t = 4s + 2
t = 4(3) + 2
t = 12 + 2
Value of t = 14 when value of s = 3