Answers
A = P(1 + r/n)^(nt)
Where:
A is the total amount to be paid back
P is the principal amount (initial loan amount) = $33,000
r is the annual interest rate (in decimal form) = 6.5% = 0.065
n is the number of times the interest is compounded per year = 1 (compounded annually)
t is the number of years = 7
Plugging in the values, we get:
A = $33,000(1 + 0.065/1)^(1*7)
A = $33,000(1 + 0.065)^7
Using a calculator, we can evaluate the expression inside the parentheses first:
(1 + 0.065) ≈ 1.065
Substituting this back into the formula, we have:
A ≈ $33,000(1.065)^7
A ≈ $33,000(1.504441)
Calculating further:
A ≈ $49,451.63
Rounding to the nearest dollar, the amount that must be paid back is approximately $49,452.
Answer:
$51282
Step-by-step explanation:
N = A (1 + increase) ^n
Where N is future amount, A is initial amount, increase is percentage increase/decrease, n is number of mins/hours/days/months/years.
for our question:
amount paid back = 33,000 (1.065)^7
= $51282 to nearest dollar
Related Questions
A large block of ice is melting and losing 5 grams of mass every minute. After 11 minutes, the ice has lost 70 grams. Assume the relationship is linear.
Answers
The linear equation of line is given by y = 6.5x - 1.5 where the slope of the equation m = 6.5 , y = amount of ice lost and x = time elapsed
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the amount of ice lost = y
Let the time elapsed be = x
A large block of ice is melting and losing 5 grams of mass every minute
So , the first point be A = A ( 1 , 5 )
After 11 minutes, the ice has lost 70 grams
So , the second point is B = B ( 11 , 70 )
Now , the slope of the line is given by the formula ,
Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 70 - 5 ) / ( 11 - 1 )
Slope m = 65/10
Slope m = 6.5
Now , the equation of line is given by ,
y - y₁ = m ( x - x₁ )
Substituting the values in the equation , we get
y - 5 = 6.5 ( x - 1 )
y - 5 = 6.5x - 6.5
Adding 5 on both sides of the equation , we get
y = 6.5x - 1.5
Therefore , the value of A is y = 6.5x - 1.5
Substitute the value of x = 11 minutes , we get
y = 6.5 ( 11 ) - 1.5
y = 71.5 - 1.5
y = 70 grams
Hence , The linear equation of line is given by y = 6.5x - 1.5 where the slope m = 6.5
To learn more about equation of line click :
https://brainly.com/question/14200719
#SPJ1
i'm really confused on this, anything will help
Answers
Answer:
I think its 1200 not sure though
Answer:
1,200
Step-by-step explanation:
first you would divide 480 copies by 4 minutes to see how many copies per minute (120) Then you would take 120 copies per minute and multiply it by the 10 and you would get 1200 copies per 10 minutes! lmk if that helps:)
Alana completed a problem where she had to find the sum of the polynomials (3x^2+8x-4) and (-8x^3-3x+4) Her answer is 0. Describe and correct her mistake. When graphed, how many times does the sum change directions?
Answers
Answer:
la pregunta está en blanco, ¿podría repetirla?
Step-by-step explanation:
Find the arc length of the semicircle with a radius of 5
Answers
Steps are on paper.
Need help ASAP please!!
Don’t know how to give brainliest sorry-
Answers
Answer:
32°
Step-by-step explanation:
All triangles must have a sum of 180°. Given the angle 58° and since this is a right triangle, we have 2 out of the 3 angles to work with.
90 + 58 + x = 180
x = 32
Write an exponential function for a graph that passes through the points (2,16) and (3,32).
Answers
Answer:
[tex]y = 4(2^{x} )[/tex]
Step-by-step explanation:
The general form for an exponential function is [tex]y = kb^{x}[/tex]
When x = 2, y = 16 So, [tex]16 = kb^{2}[/tex]
and when x = 3, y = 32 So, [tex]32 = kb^{3}[/tex]
Divide [tex]\frac{32}{16} = \frac{kb^{3} }{kb^{2} }[/tex]
2 = b
Now, [tex]16 = k2^{2}[/tex]
16 = 4k
k = 4
Therefore, the exponential function is [tex]y = 4(2^{x} )[/tex]
HELP!!!
A triangle has sides of 6m and 9m . Which is
a possible length, in meters, of the third side?
A-2m
B-3m
C-5m
D-17m
Answers
Answer:
C-5m
Step-by-step explanation:
Answer:
answer is ( b )
PLEASE HELPPPPPPPPP PLEASE I BEG ILL GIVE 20 POINTSSSS
Answers
Answer:
6 spaces
Step-by-step explanation:
The vertical axis is on the left, and point B is moving to the right of that. Based on the number point B is aligned with on the horizontal axis, point B is 6 spaces away from the vertical axis.
What is the slope of the line that passes through the points (-2,-1) and (2,-3) answer in simplest form
Answers
Answer:
Step-by-step explanation:
(-3 + 1)/(2 + 2)= -2/4= -1/2 is the slope
please help! not sure how to do this
Answers
Answer:
y=−3x+4
Step-by-step explanation:
Step 1: Flip the equation.
−6x+8=2y
Step 2: Add -8 to both sides.
−6x+8+−8=2y+−8
−6x=2y−8
Step 3: Divide both sides by -6.
−6x −/6 = 2y−8 /−6
Suppose f(x) = x^3 + 1. Find the graph of
f(2x).
Answers
Step-by-step explanation:
I am sorry. I just typed the equation into my calculator app. Refer to the attached image above to make a deduction.
Answer:
Mga madlang pipol. The answer is graph 2
cuánto mide el ángulo ABF
Answers
Answer:
no tengo suficiente information para responder
Step-by-step explanation:
Solve this system of linear equations. Separate
the x- and y-values with a comma.
9x = 1 - 4y
-7x = -7 + 4y
Answers
Answer:
y = 7 and x =3
Step-by-step explanation:
use elimination method
so we gonna eliminate y first
9x = 1 - 4y
-7x = -7 + 4y
7| 9x = 1 - 4y
9| -7x = -7 + 4y
63x = 7 - 28y
-63x = -63 + 36y
add eqtn 1 to eqtn2
you will get
0 = -56 + 8y
56 = -56 + 56 + 8y
56 = 8y
56÷8 = 8y÷ 8
7 = y
also eliminate x as we have done wth y
4| 9x = 1 - 4y
4| -7x = -7 + 4y
36x = 4 - 16y
-28x = -28 + 16y
add the two equations
u will get
8x = -24 + 0
8x = -24
8x÷8 = 24÷ 8
x = 3
Chose whether the fraction and percent are equivalent
Yes. No.
A.
40/1,000 and 40%
B.
6/5 and 120%
C.
50/33 and 117%
D.
1/8 and 12.5%
Answers
Step-by-step explanation:
A No because it's 4%
B Yes
C No
D Yes
Having trouble solving this:
Answers
Answer:
It's the third option.
Step-by-step explanation:
Because if [tex]\frac{7}{10}[/tex] was converted into a decimal it would be 0.7 plus 666, it would be 666.7
Answer:
it's the 3rd one
What is the variable for For the equation 2n - 3 = 7
Answers
Answer: n= 5
Step-by-step explanation:
Find the length of the hypotenuse of the triangle. 4.5 m 6 m The length of the hypotenuse is meters.
Answers
Answer:
c = 7.5 meters.
Step-by-step explanation:
hello :
use phtagore - rule :
c² = 6²+4.5²
c² = 36 + 20.25
c² =56.25
c = √56.25
c = 7.5 meters.
What is the measure of Zx?
Angles are not necessarily drawn to scale.
Answers
Answer:
the answer is 78*
Step-by-step explanation:
31 and 47 is 78...
i hope this helps
if do then thank me
i want to know if i am right
good luck
PLEASE HELP ME WITH THIS I WILL MARK BRAINLIEST
Answers
Answer:
a=60
Step-by-step explanation:
all you do is add 90+135+75 which is 300
then subtract 300 from 360, which is 60
360-(90+135+75)=60
Where does the graph of y = -3x - 18 intersect the x-axis?
Answers
Answer:
(-6,0)
Step-by-step explanation:
What are all t possible names for these?? Help plz
Answers
Answer:
13.....square
14....parallelogram
15....rhombus
16....trapezium
17...kite
18....rectangle
Answer:
#13 is a square, #14 is a rectangle, #15 is a rhombus, #16 is a trapezoid, #17 is a qaudrilateral, and #18 is a rectangle also.
Hope this helps :)
Jimmy's school is selling tickets to the annual dance
competition. On the first day of ticket sales
the school sold 6 adult tickets and 4 child tickets for a
total of $88. The school took in $186 on
the second day by selling 12 adult tickets and 9 child
tickets. Find the price of an adult ticket and
the price of a child ticket.
Answers
1. 6a+4c=88
12a+9c=186
2. so you need to multiply the top number by -2 so you can cancel out the 12a
-2(6a+4c=88)=. -12a-8c=-176
3. then you add them all together
12a+9c=186
-12a-8c=-176
——————————-
c=10
4. now you have to find ‘a’
6a+4(10)=88
6a+40=88
-40. -40
6a=48
divide both sides by 6
a=8
And your final answer should be (8,10)
hoped this helped:)
In 2010, there were 311 middle schools in Virginia. In 2016, there were 306. By what percent did the number of middle schools in Virginia decrease from 2010 to 2016?
Answers
Answer:1.6%
Step-by-step explanation: no of students in 2010=311
no of students in 2016=306
difference=311-306
=5
%decrease=5/311 x 100
Answer:
2
306 over 311 and x over 100 do the butterfly method then you have 30600 and 311x after that you divide 311 by 311 and 30600 by 311 and you have 1.6 but it says round to the nearest whole which is 2
Find the area of the inner and the outer circles, shown in the figure below. Use 3.14 for pi.
Answers
Which have the following has a slope of 3 and y - intercept of 4
Answers
Answer:
The first table, and the graph.
Step-by-step explanation:
8 + 3n ≥ 38
can yall solve plzzz
Answers
In El Salvador the temperature is 87 degrees Fahrenheit at 7AM. By noon the temperature has risen 6 degrees. What is the temperature?
Answers
Answer:
93 Because remember when they said that the Temperature degrees was any 7 right so what they mids I think was to add 6 more to that number If I'm wrong just tell me a probly a 100% got this wrong but alias I try
2. Carrie listened to the latest country album 3 times in a row in 2.75 hours. Write an equation to find the length of the album.
a. 3t=2.75
b. 2.75(3)=t
c. 2.75t=3
d. 2.75(3)(t)
HELP ME PLEASE
Answers
3 is the number of times she listens and “t” is the length of the album.
Solve for θ. Please help me!!
Answers
We're given the hypotenuse and the opposite side so that means that we're gonna be using the inverse of sine to find the angle.
[tex] {sin}^{ - 1} = \frac{opp}{hyp} = \frac{6}{12} [/tex]
[tex] = 30 \: degrees[/tex]
find the value of (3^0+4^-1)×2^2
Answers
= (1 + ¹/₄ ) × 4
= ⁵/₄ × 4
= 20
Answer:
Solution
=(1+0.25)×4
=1.25×4
=5
since 3^0=1