Answer:
8% per year
Step-by-step explanation:
............
suppose you deposit $1000 in a savings account that pays 4.8% interest compounded monthly. Write an exponential function to model the amount of money in your savings account. How much will you have in your account after 2 years?
Answer:
The exponential function is [tex]A(t) = 1000(1.004)^{12t}[/tex].
You will have $1,100.55 in the account after 2 years.
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
Deposit $1000 in a savings account that pays 4.8% interest compounded monthly.
This means that [tex]P = 1000, r = 0.048, n = 12[/tex]. So
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]A(t) = 1000(1 + \frac{0.048}{12})^{12t}[/tex]
[tex]A(t) = 1000(1 + 0.004)^{12t}[/tex]
[tex]A(t) = 1000(1.004)^{12t}[/tex]
This is the exponential function
How much will you have in your account after 2 years?
This is A(2). So
[tex]A(2) = 1000(1.004)^{24} = 1100.55[/tex]
You will have $1,100.55 in the account after 2 years.
If a1=1 and an+1=ann+2 for n≥1, determine a1,a2,a3, and a4
Answer:
a1 =1
a2= 1/3
a3= 1/12
a4 = 1/60
Step-by-step explanation:
a(n+1) = an/(n+2)
if n=1
a(1+1)= a1/(1+2)
a2= a1/3
a2= 1/3
if n=2
a(2+1)= a2/(2+2)
a3= a2/4 = a2 × 1/4
a3= 1/3 × 1/4 = 1/12
if n=3
a(3+1)= a3/(3+2)
a4= a3/5 = a3 × 1/5
a4= 1/12 × 1/5 = 1/60
The value of [tex]\rm a_{1}, \rm a_{2}, \rm a_{3}, \rm a_{4}[/tex] for a given expression [tex]\rm a_{n+1} = {\frac {a_{n}} {n+2}[/tex] is 1, 1/3, 1/12, and 1/60.
We have given [tex]\rm a_{1} =1[/tex] and [tex]\rm a_{n+1} = {\frac {a_{n}} {n+2}[/tex] for n≥1 we need to determine the value of [tex]\rm a_{1}, \rm a_{2}, \rm a_{3}, \rm a_{4}[/tex] .
How do you solve for n terms?To solve for n terms, we will substitute the value of n = 1,2,3,4 and so on sequence-wise in the given expression.
if n = 1
[tex]\rm a_{1+1} = {\frac {a_{1}} {1+2}[/tex]
[tex]\rm a_{2} = {\frac {a_{1}} {3}}\\\rm a_{2} = {\frac{1} {3}[/tex]
if n = 2
[tex]\rm a_{2+1} = {\frac {a_{2}} {2+2}}\\\rm a_{3} = {\frac {1/3} {4}}\\\rm a_{3} = 1/12[/tex]
if n = 3
[tex]\rm a_{3+1} = {\frac {a_{3}} {3+2}}\\\rm a_{4} = {\frac {a_{3}} {5}}\\\rm a_{4} = 1/12 \times 1/5\\\rm a_{4} = 1/60[/tex]
So, the value of [tex]\rm a_{1}, \rm a_{2}, \rm a_{3}, \rm a_{4}[/tex] is 1, 1/3, 1/12, and 1/60.
Learn more about the substitution of values here:
https://brainly.com/question/20052796
someone help please show work
Answer: m=18
Step-by-step explanation:
-67 = 6x - 1
Find x please!
Answer:
X=-11
Step-by-step explanation:
-67+1=6x
6x=-66
x=-11
you cancel the 1 from the right side and add it to the left then divide -66 by 6
the answer is -11
6X + 8Y - 4Z = 5 1X + 2Y + 5Z = 9 9X - 3Y + 3Z = 6 resolverlo por metodo de Gauss jordan
Responder:
x = 4.48
y = 4.86
z = -1.04
Explicación paso a paso:
Dadas las ecuaciones simultáneas;
6X + 8Y - 4Z = 5 .... 1
1X + 2Y + 5Z = 9 ... 2
9X - 3Y + 3Z = 6 .... 3
Primero necesitamos reducir el sistema de ecuaciones
Ecuación 1 * 1
Ecuación 2 * 4
__________
6X + 8Y - 4Z = 5
4X + 8Y + 20Z = 36
Restar
6x-4x - 4z-20z = 5-36
2x-24z = 31 ... 4
también
ecuación 2 * 3
ecuación 3 * 2
_______________
1X + 2Y + 5Z = 9 * 3
9X - 3Y + 3Z = 6 * 2
_______________
3x + 6y + 15z = 27
18x - 6 años + 6z = 12
Agregar
3x + 18x + 15z + 6z = 27 + 12
21x + 21z = 39 ...... 5
Resolviendo 4 y 5
2x-24z = 31 ... 4 * 21
21x + 21z = 39 ...... 5 * 2
____________
42x - 504z = 651
42x + 42z = 78
Sustraer
-504x - 42z = 651-78
-546z = 573
z = -573/546
z = -1.05
Sustituye z = -1.05 en 4
De 4;
2x-21z = 31
2x - 21 (-1,05) = 31
2x + 22,04 = 31
2x = 31-22.04
2x = 8,96
x = 8,96 / 2
x = 4,48
Obtener y
De 2:
X + 2Y + 5Z = 9
4.48 + 2y + 5 (-1.04) = 9
2 años + 4,48-5,2 = 9
2y = 9 + 0,72
2 años = 9,72
y = 9,72 / 2
y = 4,86
Por tanto, la solución (x, y, z) es (4.48, 4.86, -1.04)
HELP pls il give brainlyst plsss
Answers:
Problem 1) 25 milesProblem 2) 3 hoursProblem 3) They are cycling the fastest from 10:00 a.m. to 10:30 a.m.============================================================
Explanations:
The vertical axis, aka y axis, tells us how many miles are traveled. The highest it goes is y = 25, which is the number of miles traveled. They reach this marker at 1:00 p.m.The timespan from 10:00 a.m. to 12:00 p.m. is 2 hours (since 12-10 = 2). Then from 12:00 p.m. to 1:00 p.m. is an extra hour. In total, they traveled for 2+1 = 3 hours.They are cycling the fastest when the distance/time graph is steepest. Recall that the slope represents the speed when x is the time and y is the distance. This is because speed = distance/time. Apply the slope formula to the various different pieces and you should find the slope is largest from 10:00 a.m. to 10:30 a.m. The speed here is 20 mph. The next section has a speed of 10 mph. They then take a rest from 11:30 a.m. to 12:00 noon due to the flat horizontal portion here. The last section has a speed of 5 mph.Anyone know hurry help!! Carl bought 4 packs of gum with x pieces in each pack. How many pieces of gum did he buy?
Answer:4x pieces of gum
Step-by-step explanation: since you don't know how much x is, the answer includes the variable.
QUESTION 7
Which of these pairs of points has a slope undefined ?
Check all applied.
(-1,0) and (-1, 1)
(3,9) and (3, 1)
(0,9) and (1, 1)
(8,9) and (8,1)
Answer:
This would be a, b, and d.
Step-by-step explanation:
When graphed, the slope line of each of these would look like a straight vertical line, meaning their slope would be undefined. There has to be a change in x to create a defined slope.
.
Andrés va a colocar piso
a su cuarto, si el cuarto mide
3.7m de ancho por 4.5m de
largo y cada caja de piso
alcanza para 1.54m2. ¿Cuántas
cajas de piso va a necesitar?
Responder:
11
Explicación paso a paso:
Dado que:
Dimensión de la habitación = 3,7 m por 4,5 m
Área de la habitación:
Largo * ancho
Los 3.7m * 4.5m
= 16,65 m²
Área de la caja de piso = 1.54m²
Número de cajas de suelo necesarias:
Área de la habitación / área de la caja de piso
16,65 m² / 1,54 m²
= 10,812
= 11 cajas de suelo
Evaluate the expression when x=4 and y+-6.
x-5y
Answer:-26
Step-by-step explanation:
Estimate the sum or difference.
7/8-1/5
Answer:27/40
Step-by-step explanation:
7/8-1/5
35/40-8/40=27/40
"Calculate the value of a in the triangle below." PLEASE HELP WILL GIVE BRAINLIEST
Using Pythagoras Theorem,
(12)^2+ (a)^2= (13)^2
144+a^2= 169
a^2= 169-144
a^2= 25
a= √25
a= 5mm
Hope it helps you.
15 cm
11 cm
Find perimeter
Answer: 52 cm
Step-by-step explanation: 15+15=30 11+11=22 30+22=52
Answer:
52 cm (?)
Step-by-step explanation:
I'm assuming this is a rectangle.
you take each of the sides(with rectangles, two of each sides will have the same length) and add them together.
15 + 15 + 11 + 11 = 52
Would y^10/y^10 become 1?
Answer:
yes
Step-by-step explanation:
If you are dividing it will become 1 because 10 minus 10 equals 0. Anything to the power of 0 is 1 then you keep the base which is y so the answer is y
If you are multipling the answer will be y^10 because 10 plus 10 is 20 and you keep the base which is y
Can y’all help me on question five?!
Answer:
it is option A hope it helps
If h = 19 inches, l = 28 inches, and w = 14 inches, what is the area of the figure shown above? A. 665 square inches B. 658 square inches C. 308 square inches D. 924 square inches
Answer:
Wouldn't it be 7448?
Step-by-step explanation:
I multiplied 19 x 28 x 14 and got 7448?
For matinee at a local theater, adult tickets cost
$6 and kids under 12 pay only $4. Ninety
tickets were sold for a total of $428. Which
system of equations correctly represents this
problem if you let a represent the number of
adult tickets sold and k represent the number of
kid tickets sold.
Answer:
Step-by-step explanation:
Round 8265 to the nearest ten?
Help please. Im confused
Answer:
5x- 9 is your expression
Step-by-step explanation:
Decreased means subtraction and the product of any two numbers is multiplication.
Division Keyword: Divided by, or Quotient of.
Multiplication Keyword: Product of, or Multiplied by.
Subtraction Keyword: Subtracted from, or Decreased by.
Addition Keyword: Added to, or Increased by.
If there is no Variable then place the common Variables: X, Y, Z.
Answer:
The expression is 5x-9.
Step-by-step explanation:
Product means to multiply, so you will multiply 5 and x which equals 5x
Decreased means subtracting, so you will subtract 9
Joseph buys 3/4lb of cheddar, 3/5lb of provolone, and 7/9lb of Gouda. Which type of cheese did he buy in the greatest amount
What is the equation of the line that passes through the point (2, -6) and has a
slope of -1?
Answer:
-6= -2 + b
Step-by-step explanation:
Following the y=mx+b forumla
Y= -6 the y coordinate given
MX= the slope (-1) and the x coordinate (2) you multiply them ( -1 * 2) and you get -2
B= you have nothing for b since you do not know the y-intercept
Answer:
[tex]y=-x-4[/tex]
Step-by-step explanation:
Since we already know that the slope is [tex]-1[/tex] we can use this formula to solve for the y-intercept: [tex]b=y-mx[/tex]
b is the y-intercept
m is the slope of the line
x and y are a point on the line
[tex]b=-6-(-1)(2)[/tex]
[tex]b=-4[/tex]
The equation of the line is: [tex]y=-x-4[/tex]
plz mark me brainliest. ;)
Give the location of Bern as an ordered pair (x, y)
Answer:
(3,-4)
Step-by-step explanation:
Yaaaaaaaaaaa a a a
Answer:
(3,-4)
Step-by-step explanation:
x axis goes first y axis second
Identify the correct table for the following equation: Y=3x + 7 ( look at the picture for answer choices )
Answer:
The first choice is the right answer.
Step-by-step explanation:
Y = 3x+7
First choice
y = 3(0) + 7 = 7
y = 3(1) + 7 = 10
y = 3(2) + 7 = 13
second choice
y = 3(7) + 7 = 28. output on table shows 0
third choice
y = 3(0) + 7 = 7
y = 3(1) + 7 = 10 doesn't work as y output in third choice says 8
fourth choice.
y = 3(7) + 7 = 28 output on table shows 0
HELP!!!!!The equation C= 5n represents the cost C
in dollars for n caps that advertise the walkathon. Which of the
following ordered pairs could represent a number of caps and the
cost for that number of caps, (n, C)?
A. (0,5)
B. (3, 15)
C. (15,60)
D. (5,1)
what muiltupication will give you 1600
Answer:
5 x 320
Step-by-step explanation:
5 x 320 = 1600
djdjjdndjdjjxjd
Answer:
800 x 2
I saw that this was your first question. Welcome to the Brainly Community
I need help anyone plss :)
Answer:
Step-by-step explanation:
the following are true
1) yes
2)No
3)yes
4)yes
5)yes
6)no
What is the area of a square with h=3in l=5in w=6in
Answer:
30in
Step-by-step explanation:
Length x Width = Area
6 + 10k = 256
Find k please!!! (Please explain how aswell!)
Answer:
k = 25
Step-by-step explanation:
by solving it ;
10k + 6 = 25610k = 256 - 6 k = 250 / 10k = 25i hope it helped......
Answer:
k=25
Step-by-step explanation:
6+10k=256
10k=256-6
10k=250
k=250/10
k=25
crosscheck
6+10(25)=6+250=256
In ΔQRS, RS = 16, SQ = 9, and QR = 15. Which list has the angles of ΔQRS in order from smallest to largest?
Answer:
[tex] \angle R < \angle S < \angle Q[/tex]
Step-by-step explanation:
In ΔQRS, RS = 16, SQ = 9, and QR = 15.
From above info it is obvious that:
SQ < QR < RS
In a triangle, angle opposite to smallest side is smallest and angle opposite to largest side is largest.
Therefore,
[tex] \angle R < \angle S < \angle Q[/tex]
A number
consisting of
two digits whose sum is 9.
If three times the number is
equal to eight times the
number formed by interchanging
the digits, find the number.
Answer:
let the unit digit be x
and the tens digit be y
so x+y = 9 ---> y = 9-x
the number is 10y+x
the number reversed is 10x + y
3(10y+x) = 8(10x + y)
30y + 3x = 80x + 8y
22y = 77x
2y = 7x
2(9-x) = 7x
18 - 2x = 7x
18=9x
x=2
y=7
the number is 72
check:
number is 72
reverse is 27
is 3(72) = 8(27)