12 months in a year
2 years
2x12=24
74.16x24=1779.84
Heather's total cost of repayment is $1,779.84.
What exactly is a monthly payment?A monthly payment is a payment made every month to pay off loans or advances. It's similar to EMI.
Given,
Principal = $1,500
Rate = 17% per year (or 0.17 as a decimal)
Time = 2 years
Total interest = (principal × rate × time) / 12
Substitute the given values, and we get:
Total interest = (1500 × 0.17 × 2) / 12 = $51
So, Heather will pay a total of $51 in interest over the two years.
Total repayment = monthly payment × number of months
Here,
Monthly payment = $74.16
Number of months = 2 years × 12 months/year = 24 months
Substitute these values, and we get:
Total repayment = $74.16 × 24 = $1,779.84
Therefore, Heather's total cost of repayment is $1,779.84.
Learn more about the monthly payments here:
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what are three types of sillicones
Answer:
Silicone types in common use in the industry include:
High Modulus.
Low modulus.
Neutral cure.
Acetoxy cure.
Hope u won't forget to mark brainiest
have a good day!
Starting at n = 1 , find the first 5 members of this sequence : 1+(n-1)2 a. 2,4,6,8,10 b. 1,3,5,7,9 c. 4, 6, 8, 10, 12 d. 3,5,7,9,11
the ratio of two supplementary angles is 3:9 what is the measure of the larger angle
Answer:
135
Step-by-step explanation:
Ratio = 3 : 9
Angles are : 3x , 9x
3x + 9x = 180 {supplementary angles}
12x = 180 {divide both side by 12}
x = 180/12
x = 15
Larger angle = 9x = 9*15 = 135
Katoomba Scenic Railway in Australia is the steepest railway in the world. The railway makes an angle of about 52 degrees with the ground. The railway extends horizontally about 458 feet. What is the height of the railway? Round your answer to the nearest foot.
Answer:
The height of the railway = 361 feet
Step-by-step explanation:
This question can be solved by applying the required trigonometric function. Let the height of the railway be represented by h.
Sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]
Sin 52 = [tex]\frac{h}{458}[/tex]
h = Sin 52 x 458
= 0.788 x 458
= 360.904
h = 361
So that, the railway is 361 feet high.
WHY IS NO ONE HELPING ME What percentage of people in the survey took echinacea?
Answer:
30%
Step-by-step explanation:
Hope This Helps : )
Write an essay about your learning on how you solve problems involving integers. (5 points). Take a photo of your answer. (To the Online Teacher please provide a link for submission of output).
Answer:
to use integers for certain problems and equation on math, i can also use it for future use in life in case i need it, Its very helpful to learn since it isnt that complicated nor hard, its just a good skill to keep in mind as a student.
Which is the most appropriate unit to measure the length of a golf stick?
A) square inches
B) inches
C) square miles
D) miles
Answer:
b can i have brainly
Step-by-step explanation:
Plz help I’ll give brainliest
Answer:
1.-6 is the Y intercept
2.3/14
3.empty set
step by step explanation:
1.Y= mX-B
so B is -6
2.11-2raised3/14
2raised 3 is 8
that means 11-8/14=3/14
3. 7(x+3)= 7x-8
7x+21=7x-8
7x-7x=-8-21
0=-29
over here X is gone its so empty set
I need help identifying the hidden question
Answer:
Hidden question 1: How much change did Joshua get back after paying for his supplies.
Hidden question 2: How many puppies have spots?
(I hope this is what you meant by hidden questions. If you meant something like rearranging the words I am so sorry.)
PLXXZZ HELPPP.. which is true about the function shown between x=4 and x=6
Answer:
function is linear and decreasing
Step-by-step explanation:
as shown in the graph between points (4,0) and (6,0)
Answer:
the answer will be the second one or B
hope its helps
PLEASE ANSWER
What is the perimeter of the parallelogram?
Answer:
Perimeter = 44.8
Step-by-step explanation:
Perimeter = 2(13.4 + 9) = 44.8
g = -5r + 13
what does g equal to
Answer:
go to cymath and put your problem in their
Step-by-step explanation:
Number 3 determine the inverse
Answer:
So Imma use the explanation area to answer this (I'll link a video on how I solved this.)
Step-by-step explanation:
F(x)=1/3(-5x -4)³-3 (Multiply 1/3 by -5x & -4. Be sure to move the unused parts of the equation down)
F(x)= -1.66x -1.33³-3 (Here we need to use our exponent)
F(x)= -1.66x -2.37 -3 (Here we need to subtract -3 from -2.37)
F(x)= -1.66x - 0.629 (You need to subtract 0.629 from the right side and left side)
-0.629 = -1.66x (Now since X is attached by multiplication, we need to divide both sides by -1.66)
0.378 = x (this means that your inverse is 0.378)
Since the fabric store only sells string in millimeters, Sara needs to convert 5 cm to mm in order to figure out how much
string she needs. How many mm of string does Sara need if she needs 5 cm of string?
O 5.000
500
50,000
50
Answer:
the answer is 50
Step-by-step explanation:
pls give me brainlist
A library has 1,624 books. Five-eighths of the books are hardcovers. How many books are hardcovers?
Answer:
I'm guessing its... 1015 hardcover books.
i need help on this plz
Answer:B
Step-by-step explanation:
2( x + 7) - 18x + 4/5
which angles are adjacent angles?
A. GMB and FBC
B. CBX and FBC
C. XBG and FBC
D. MBY and FBC
Answer:
CBX and FCB
Step-by-step explanation:
trust me
Select all the sets of side lengths that will make a triangular shelf fit in a 90 1 point
degree corner of a room.
3 cm, 4 cm, 5 cm
2 cm, 3 cm, 4 cm
5 cm, 6 cm, 9 cm
6 cm, 8 cm, 10 cm
7 cm, 9 cm, 11 cm
This is Irequired question
PLEASE HELP AND LOOK AT MY OTHER RECENT QUESTIONS NOBODY EXCEPT A BOT IS ANSWERING 3
Answer:
1. 6cm , 8cm , 10cm
2. 3cm , 4cm , 5cm
Step-by-step explanation:
A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. Using this equation, find out the maximum amount of profit the company can make, to the nearest dollar.
y=-2x^2+105x-859
What is proportion means by your own word
Explanation: Proportion is a share or part of a whole in mathematics and some other subjects. It is also related with ratio. For example: 5:7
Answer:
a part comparative relation to a whole
Related to ratio
Eg: 2:5 {read as (two is to 5)}
On a map, 1 inch equals 15 miles. Two cities are 3 inches apart on the map. What is the actual distance between the cities?
Actual distance = distance on map x the scale:
3 inches x 15 miles per inch = 45 actual miles.
Barak spent $20 at the mall. This represents 16% of the money he earned working at the pizza parlor last week. How much money did Barak earn at the pizza parlor last week?
Answer: Amount of Money Barak earned last week =$125
Step-by-step explanation:
Amount of money Barak spent= $20
Amount of money spent = 16% of Money earned (X)can be represented as
16% x X =20
0.16 x X =20
X = Money earned last week = 20/ 0.16= $125
Can someone please help?
Answer:
77 5/8
Step-by-step explanation:
a) Multiply the whole number 6 by the denominator 4. Whole number 6 equally 6 * 4/4
= 24/4
b) Add the answer from the previous step 24 to the numerator 3. New numerator is 24 + 3 = 27
c) Write a previous answer (new numerator 27) over the denominator 4.
Conversion a decimal number to a fraction: -11.5 = -115/10
= -23/2
a) Write down the decimal -11.5 divided by 1: -11.5 = -11.5/1
b) Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)
-11.5/1
= -115/10
c) Simplify and reduce the fraction
-115/10
= -23 * 5/2*5
= -23 * 5/2*5
= -23/2
Multiple: 27/4
* (-11.5) = 27 · (-23)/4 times5
= -621/8
a sphere has a radius of 6m
what measurement is the closest to the volume of the sphere in cubic inches?
Answer: 1,325.4
Step-by-step explanation: look it up first, before going to brainly
what is the average of 2,2,8and12
Answer:
The average is of 2,2,8,12 is 6
Answer:
6
Step-by-step explanation:
2+2+8+12= 24/4= 6
hope this helped! :)
What's the circumference and area?
Answer:
43.98 (44) Circumference
Area: 153.94 (154)
Step-by-step explanation:
Answer:
Circumference: 14π square inches or approximately 43.96 square inches
Area: 49π square inches or 153.86 square inches
Step-by-step explanation:
Circumference = 2πr, where r = radius
2π(7) = 14π or 14(3.14) = 43.96
Area = πr^2, where r = radius
π7^2 = 49π or 49(3.14) = 153.86
The graph below shows the distance a car can
travel, y, using x gallons of gasoline.
300
200
Distance (miles)
100-
1 2 3 4 5 6 7 8 9
Amount of Gasoline
(gallons)
HELPP!!
Answer:
yyyyyyyyyy
Step-by-step explanation:
yyyyyyyyyyyyyyy
The corner of a room where two walls meet the floor should be a
right triangle. Jeff makes a mark along each wall. One mark is 12
inches from the corner. The other is 9 inches from the corner. How
can Jeff use the Pythagorean Theorem to see if the walls form a
right angle?
If the distance across the floor from one mark to the other is
says that
inch(es), then the
because 122 + 92 = 0%, a right triangle is formed.
Answer:
Step-by-step explanation:
If the distance across the floor from one mark to the other is [15] inches then the [Pythagorean Theorem] says that because 12^2+9^2=[15]^2, a right triangle is formed.
trabaje durante mis vacaciones y ahorré$2,000.00los cuáles quiero invertir en un banco que reconoce una tasa de interés de 32%anual capitalizable mensualmente ¿ que capital habrá en la cuenta al finalizar un periodo de 3 años?
Answer:
Interés compuesto:
El tiempo entre dos fechas en las que los intereses se agregan al capital se llama periodo
de capitalización, y el número de veces por año en que los intereses se capitalizan se llama
frecuencia de conversión y de denota con la “p”.
A la frecuencia de conversión se le conoce también como frecuencia de capitalización de
intereses.
P = 1 Para periodos anuales, los intereses se capitalizan cada año.
P = 2 Si los periodos son semestrales
P = 3 Para periodos cuatrimestrales.
P = 4 Para periodos trimestrales.
P = 6 Cuando son periodos bimestrales
P = 12 Para periodos de un mes.
P = 13 Si los periodos son de 28 días.
P = 24 Para periodos quincenales
P = 52 Para periodos semanales
P = 360 0 365 Si son periodos diarios.
M = Ceit
M = C(1 + i / p)tp
Donde:
t = periodo en años
tp = es el número de periodos
i = La tasa de interés anualizada en “p” periodos por año.
Ejemplo: Inversión de un capital para monto preestablecido. (Villalobos, 2007, pág. 171)
a) ¿Qué capital debe invertirse ahora al 12.69% anual capitalizable por bimestre para tener
$40,000 en 10 meses?
b) ¿A cuánto ascienden los intereses?
Datos:
El plazo “t” debe estar en años, por lo que para expresar 10 meses en estas unidades se divide
entre 12, o sea, el número de meses que tiene un año. En consecuencia, el plazo en años es t =
10 / 12. La frecuencia de conversión o capitalización de intereses es p = 6 porque 6 son los
bimestres que tiene un año. Entonces:
tp = (10/12)6 = 5 bimestres.
El monto es M = $40,000, la tasa de interés es i = 0.1269 o 12.69% anual, capitalizable por
semestres, y la incógnita es C, la cual se despeja de la igualdad que resultó de sustituir estos
valores en la ecuación:
Solución:
Fórmula: M = C(1 + i/p)tp
40,000 = C(1 + (0.1269 / 6))5
Apuntes de Matemáticas Financieras Prof. Gerardo Gutiérrez Jiménez
40
40,000 = C(1.02115)5
40,000 = C(1.110318838)
C = 40,000 / 1.110318838
C = $36,025.68797
Solución b) Los intereses son la diferencia entre el monto y el capital:
I = M – C
I = 40,000 – 36,025.69
I = $3,974.31
Ejemplo: Monto que se acumula al invertir un capital.
El capital es C = $65,000, la tasa anual es i = 0.10, la frecuencia de conversión es p = 2 por que
el año tiene dos semestres, t = 3 porque el capital se acumula tres años, el número de periodos
en el plazo es tp = 6, entonces el monto según el teorema es: (Villalobos, 2007, págs. 170-171)
R = $87,106.22
Ejemplo: Tasa de interés para duplicar un capital.
¿Con qué tasa de interés anual capitalizable por bimestres se duplica un capital en 3 años?
(Villalobos, 2007, pág. 172)
R = 23.55%
Ejemplo: Valor presente de un crédito e intereses.
El 25% del precio de un mueble de sala se paga con un documento con valor nominal de $4,000
y vencimiento a 30 días. Un 30% se liquida mediante un pago a 60 días de plazo, otro 30% con
un documento a 90 días de la compra y el 15% restante se dejan como anticipo. Obtenga:
a) El precio del mueble.
b) El anticipo y los otros dos pagos.
c) El cargo total por intereses.
Suponga que la mueblería carga el 22.20% anual compuesto por mes en sus ventas a crédito.
(Villalobos, 2007, págs. 173-174)
Solución inciso a:
C1 = $3,927.344134
Entonces:
Precio = $15,709.38
Solución del inciso b: “el anticipo es el 15% de este precio”.
C2 = 4,712.81
Entonces, el segundo pago es el valor futuro de este capital, es decir:
Apuntes de Matemáticas Financieras Prof. Gerardo Gutiérrez Jiménez
41
M2 = $4,888.80
El valor presente del último pago es igual al del anterior y por tanto, este pago es:
M3 = $4,979.24
Finalmente, solución del inciso c), Los intereses son la diferencia entre el total pagado y el precio
del mueble:
I = $512.07
Note que la tasa de interés global es:
G = 3.2787%
Step-by-step explanation:
