Answer: [tex]A = 500(1.0125)^{100}[/tex]
Step-by-step explanation:
Compound interest
A = P(1 + r/n)^nt
A is the final amount (what we are solving for)
P is the initial principal balance (P=500)
r is the interest rate as a decimal (r=0.05)
t is the time (25 years)
n is the number of times it is compounded yearly (every three months so n=4)
A = 500(1 + 0.05/4)^4(25)
A = 500(1 + 0.0125)^4(25)
A = 500(1.0125)^4(25)
A = 500(1.0125)^100
what is 2.38÷2.8
show all working
Answer:
the answer is 0.85 of 2.38 ÷ 2.8
Answer:
0.85
Step-by-step explanation:
[tex]\frac{2.38}{2.8} =\frac{2.38}{2.8}*\frac{100}{100}=\frac{2.38*100}{2.8*100}=\frac{238}{280}\\\\\frac{238}{280}=\frac{238}{280}/\frac{14}{14} =\frac{238/14}{280/14}=\frac{17}{20}\\\\\frac{17}{20}=\frac{17/2}{20/2}=\frac{8.5}{10}=0.85[/tex]
A linear sequence (i.e. where the 1st difference is always the same) has 5th term 6 and 92nd term 354. What is the 57th term?
Answer:
I dont know xDDDDDDDDDD
Answer:
a₅₇ = 214
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₅ = 6 and a₉₂ = 354 , then
a₁ + 4d = 6 → (1)
a₁ + 91d = 354 → (2)
Subtract (1) from (2) term by term to eliminate a₁
0 + 87d = 348
87d = 348 ( divide both sides by 87 )
d = 4
Substitute d = 4 in (1) and solve for a₁
a₁ + 4(4) = 6
a₁ + 16 = 6 ( subtract 16 from both sides )
a₁ = - 10
Then
a₅₇ = - 10 + (56 × 4 ) = - 10 + 224 = 214
The area of a trapezoid is 60 square feet. If the bases of the trapezoid are 8 feet and 12 feet, what is the
height?
3 ft
4 ft
15 ft
6 ft
Answer:
Step-by-step explanation:
area = h(b₁+b₂)/2 = 60 ft²
h(8+12)/2 = 60 ft²
h = 6 ft
Answer:
6 ft
Step-by-step explanation:
Express 25x²-40xy+16y² as perfect square
Answer:
(5x-4y)^2
Step-by-step explanation:
Both 25 and 16 are perfect squares, √25=5 and √16=4
2% of the ducks in a pond have a fluffy tail. If 4 ducks have a fluffy tail, how many ducks are in the pond. Please answer best answer gets brainliest.
Answer:
200
Step-by-step explanation:
just look up 2% of 4 is what and you will get the same answer
Bill tiene un trabajo a tiempo parcial y le pagan cada hora la misma cantidad. Cada hora que trabaja aparta $6 para dárselos a su mamá. Bill trabaja 3 horas al día y la cantidad total con que se queda cada día es $24. ¿Cuánto le pagan cada hora?
Answer:
A Bill le pagan $14 cada hora.
Step-by-step explanation:
Para conocer la cantidad que a Bill le pagan cada hora, se define una ecuación.
Una ecuación es la igualdad existente entre dos expresiones algebraicas conectadas a través del signo de igualdad en la que figuran uno o varios valores desconocidos, llamadas incógnitas, además de ciertos datos conocidos. Es decir, una ecuación se define como una igualdad establecida entre dos expresiones, en la cual puede haber una o más incógnitas que deben ser resueltas.
En este caso, es conveniente definir la siguiente incógnita:
x: cantidad que le pagan a Bill cada horaSi cada hora que trabaja Bill aparta $6 para dárselos a su mamá, entonces cada hora recibirá: x - 6
Bill trabaja 3 horas al día, por lo que en ese día recibirá 3horas*(x-6). Y si la cantidad total con que se queda cada día es $24, entonces la ecuación a resolver será:
3*(x -6)= 24
Resolviendo, obtienes:
3*x - 3*6= 24
3*x - 18= 24
3*x= 24 +18
3*x= 42
x= 42÷ 3
x= 14
Entonces, a Bill le pagan $14 cada hora.
How do find the area of this figure? Answer ASAP Tysm
Answer:
26
Step-by-step explanation:
6+10+10=26
Answer:
80m²
Step-by-step explanation:
area of rectangle-&10m×6m=60m²
10m-6m=4m
10m×4m=40m²
area of triangle->40m²÷2=20m²
area->60m²+20m²=80m²
60,221,229 is a Pythagorean triple
What is the area? in square yards.
Answer:
260 square yards
Step-by-step explanation:
(9+17/2)*20
Find the missing angle measure 130
Answer:
x=15
Step-by-step explanation:
Hello there!
the whole angle measure is 89
the given angles are 44 and 30
we need to find x
to do so we subtract the given angles from the total angle measure
x=89-44-30
x=15
Alex has 128 photos of his friend to display equally in 4 photo albums. Which equation can you use to find how many will be in each album?
Answer:
128 ÷ 4 = [tex]\frac{128}{4}=32[/tex]
Step-by-step explanation:
Total number of photos = 128
Number of photo albums = 4
Alex has 128 photos of his friend to display equally in 4 photo albums.
Equation that can be used to find number of photos in each album =
Number of photo albums ÷ Total number of photos
= 128 ÷ 4
= [tex]\frac{128}{4}=32[/tex]
what are three ratios that are equivalent to 6/7
14 and 21 and 18
is three of them
Answer: 6/7 (2/2) = 12/14
(3/3) = 18/21
(4/4) = 24/28
bonjour, j’ai un dm de math mais je ne comprends pas :
La mère de Julien lui a choisi un forfait de téléphone mobile
à 14,90 €. Elle explique à son fils que, pour ce prix, il peut téléphoner
60 minutes et envoyer 30 SMS. S'il dépasse son forfait, cela lui
coûtera 0,36 € par minute supplémentaire et 0,12 € par SMS
supplémentaire.
On note t (en minutes) la durée totale pendant laquelle Julien a téléphone et s le nombre total
de SMS qu'il a envoyés. En supposant que Julien dépasse à la fois les 60 min et les 30 SMS de son
forfait :
1) Exprimer en fonction de t (resp. en fonction de s) la somme supplémentaire que devra payer
Julien en ce qui concerne ses appels (resp. en ce qui concerne ses SMS).
2) En déduire l'expression, en fonction de t et s, de la somme totale que devra payer Julien
en cas de dépassement de son forfait tant au niveau des appels que des SMS.
3) Au cours des quatre derniers mois, Julien a répertorié dans un tableau ce qu'il a exactement
consommé. Recopier et compléter son tableau.
Temps de communication
(en minutes)
75
65
Mai
Juin
Juillet
Août
Nombre de SMS envoyés Prix à payer (en euros)
35
41
47
50
80
87
Answer:
the answe're is that i don't underatamd the language first
In a certain Algebra 2 class of 30 students, 8 of them play basketball and 10 of them
play baseball. There are 18 students who play neither sport. What is the probability
that a student chosen randomly from the class plays both basketball and baseball?
plz help
A line passes through the point (2,1) and has a slope of 7/2 Find
the equation of the line.
Answer:
1/7 and 2/2
Step-by-step explanation:
if f and g are two functions defined by f(x)=3x+5 and g(x)=x^2+1 then g(f(x)) is
the answer is A. fggggggggtggg
The actual distance between two villages is 120 kilometers. On a map of the area, 0.5 centimeter represents 2 kilometers.
What is the distance between the villages on the map?
Enter your answer in the box.
Answer:
30 centimeters
Step-by-step explanation:
I hope this helps
Answer:
what he said
Step-by-step explanation:
What is the value of x? (SOMEONE PLEASE HELP ME OUT BRO PLEASEEEEE IGNORE THE 9 smh)
Answer:
x=28
Step-by-step explanation:
Sum of all the angles in the triangle add up to equal 180
90 + x + 6 + 2x = 180
combine like terns
96 + 3x = 180
subtract 96 from each side
180-96=84
96-96 cancels out
3x=84
divide each side by 3
84/3=28
3/3 cancels out
x=28
The1AndOnlyMarkus
=========================================
Explanation:
The quadrilateral shown is a kite since we have adjacent sides that are the same length (due to the similar tickmarks). The diagonals of any kite intersect to form a 90 degree angle.
The triangle in the lower left corner has the three angles of
90x+62xThose three interior angles must add to 180. This is true of any triangle.
90+(x+6)+(2x) = 180
3x+96 = 180
3x = 180-96
3x = 84
x = 84/3
x = 28
Help me please and thank you
Answer:
B
Step-by-step explanation:
You just count the dots and check the tables.
Liu Tse is 6 years older than four times the age of her daughter, Lan. Lan will be 9 years old in 3 years.
Answer:
Well, you have given some information, but you have not said what we are looking for. So, what is the question?
Step-by-step explanation:
Answer:
Liu Tse is 30 years oldStep-by-step explanation:
Lan will be 9 years old in 3 years, so Lan is:
9 - 3 = 6 years old
four times the age of the daughter: 4×6 = 24
6 years older than four times the age of Lan: 24 + 6 = 30
can someone help me with this question.
Answer:
C.
Step-by-step explanation:
F(n) = 2.4 N-1
Determine whether the triangles are similar or not, if so, determine if it is by AA-, SSS-, or SAS-.
HELP PLZZZZ!!!!
Answer and Step-by-step explanation:
Similar by SSS-
This is because the dilation factor of the triangles is 1.6, meaning each side from the small triangle has to be multiplied by 1.6 to be have the sides of the bigger triangle.
#teamtrees #PAW (Plant And Water)
I hope this helps!
Math one question WILL GIVE BRAINLIEST
Answer:
b
Step-by-step explanation:
Dilation reduces or enlarges the size
Translation moves the shape within the quadrant
Rotation about the origin changes the orientation and the location to another quadrant.
I think you might need Desmos for graphing?? Explain your answer!
Yes you are correct! This equation will make a parabola. The width when the arch is at ground level would be the x-intercepts, or zeros, of the parabola.
The vertex point is (0,12)
the axis of symmetry is 0
The zeros are (-4,0) and (4,0)
using the zeros take away the negative because something cant be negative feet wide and add the numbers together (4+4)
Your answer is 8
i attached the graph
Hope this helps you!
P.S. Can i get brainliest? :)
8) Marvel and DC Comics want to build a series of interactive museums for kids. They will
begin with a one level museum where they both originated from: New York City. They
want to be able to have as many as 50,000 visitors at one time. In order to
accommodate this many people, what is the maximum footprint the museum needs to
have while still meeting the state's fire code of 10 occupants per square foot?
Page 4
Answer:
Can you give me the answer for these questions? Pleaseeeee I need 7 and 8
Step-by-step explanation:
The milligrams of a asprin in a persons body is given by the equation a=500 (3/4)^t where the t is the numbers of hours since the patient took the medicine. How much asprin will be in the patients body after two hours
Answer: 281.25 milligram
Step-by-step explanation:
Given
Milligrams of aspirin left after t hours is given by
[tex]\Rightarrow a=500(\frac{3}{4})^t[/tex]
for [tex]t=2\ hr[/tex]
[tex]\Rightarrow a=500(\frac{3}{4})^2\\\Rightarrow a=500\times (0.75)^2=281.25\ \text{milligram}[/tex]
the cost of 3 DVDs and 4 CDs £62.00. the cost of 4 DVDs and 3 CDs is £64.00.find the cost of each.
hellllp
Answer:
x = 10; y = 8
Step-by-step explanation:
Let
DVDs = x
CDs = y
3x + 4y = 62 (1)
4x + 3y = 64 (2)
Multiply (1) by 4 and (2) by 3 to eliminate x
12x + 16y = 248 (3)
12x + 9y = 192 (4)
Subtract (4) from (3)
16y - 9y = 248 - 192
7y = 56
y = 56/7
y = 8
Substitute y = 8 into (1)
3x + 4y = 62
3x + 4(8) = 62
3x + 32 = 62
3x = 62 - 32
3x = 30
x = 30/3
x = 10
x = 10; y = 8
Help me
How do u do this
Answer:
second one and I don't know how to do it sorry is it a
Step-by-step explanation:
can you help me with my question
Can someone help me please?
Answer:
So the answer is 2^-3
Step-by-step explanation:
The principle is the same no matter what the base.
Log_2 (7) + Log_2(3/28) - Log_2(6)
+ means multiply
- means divide
Log_2(7 * 3/28 /6)
Log_2(7/6 * 3/28)
Log_2(1/2 * 1/4) 3 divides into 6 twice. 7 divides into 28 four times
log_2 (1/8)
This is equivalent to 2^(-3)
A cell phone costs $750 and loses 28% of its value each year. What is the value of the phone after 2 years?
Answer:
the answer is 915
Step-by-step explanation:
tell me if I'm wrong okay