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 Jessica drank 3 1/2 glasses of water her sister drank twice as much how many glasses did her disinter drink
Answer:
Step-by-step explanation:
7
Paul is planning to sell bottled water at the local carnival. Paul's profit (in dollars) from
selling b bottles of water is given by the formula P = 1.356 - 342.
Interpret the Slope in this situation.
Paul's profit is increasing at a rate of
Select an answer
Answer:
Hi how are you doing Jasmine
A family buys airline tickets online. The family buys travel insurance that costs $ per ticket. The total cost is $. Let x represent the price of one ticket. Write an equation for the total cost. Then find the price of one ticket.
Answer:
One ticket equals $169
Step-by-step explanation:
The family buys 4 airline tickets online.
The travel insurance costs $19 per ticket.
The total cost is $752.
A.
An equation that models this problem could be
Basically, we know that the insurance costs $19 which represents an additional costs after the price per ticket, that's why we need to add them. Then, we know that the familiy bought 4 tickes, that's why we multiply by 4, and finally, the total cost must be equal to 752, according to the problem.
B.
To find the price of one ticket, we just need to solve the equation for
Therefore, one ticket costs $169.
Find the 96 th derivative of f(1) = sin c.
f (96) (2)
=
The derivatives of sin(x) follow a simple pattern:
f(x) = sin(x)
f '(x) = cos(x)
f ''(x) = - sin(x)
f '''(x) = - cos(x)
f ''''(x) = sin(x)
and so on. 96 is a multiple of 4, so
f ⁽⁹⁶⁾(x) = sin(x)
X +0.25 0.75, x=0, 0.5, 1
Answer:
hello good evening
be happy always
A number decreased by 14% is 115. What is the number?
Edit, my calc is broken, sorry for the inconvenience, please disregard.
The number decreased by 14% is found as the 133.7.
What is a definition of the percentage?A percentage is defined as a relative value that represents the hundredth part of any quantity. Each percent (symbolized 1%) is one hundredth portion; thus, 100 percent symbolizes the entire amount and 200 percent defines twice the given amount.
Let the original number be 'x'.
number decreased by 14%
That means of x = 460.
Then,
86% of x = 1115
86x/100 = 115
x = 11500/86
x = 133.7
The original number be 133.7.
To know more about the percentage, here
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#SPJ2
Explain answer !!
( WILL GIVE BRAINLEST)
Answer:
Step-by-step explanation:
Larissa: y = 250 - 25x
Chucho: y = 30 +30x
4 weeks
someone pls help me with this question
Answer:
Surface Area = 2×(6×8 + 6×4 + 8×4) = 208 centimeters2
Step-by-step explanation:
Step-by-step explanation:
please see the attachment..n note it somewhere on a sheet n paste that at a place where you can see that every now n then...so you'll learn that slowly n gradually... you'll enjoy!!!(◍•ᴗ•◍)❤
if 4/5x =16, what is the value of -2x-15
Answer:
-55 I believe
Step-by-step explanation:
Solve for X
Pls help if you can
Answer:
x+8
Step-by-step explanation:
144-24 =120
120/15=8
x=8
melanie walks 2 large dogs and 8 small dos as part of her dog walking business the simplified ratio of large dogs to small dogs is
Answer:8:36
Step-by-step explanation:
Answer: 1 : 4
Step-by-step explanation:
The simplified ratio of large dogs to small dogs is 1 : 4.
The original, unsimplified ratio would be 2 : 8, because there are 2 large dogs for every 8 small dogs. But to simplify it, we can divide each side by 2.
2 ÷ 2 = 1, while 8 ÷ 2 = 4.
Therefore, the simplified ratio of large dogs to small dogs is 1 : 4.
Hope this helps!
Ana and her friends are decorating the gym for a dance. They need 270 balloons. The balloons are only sold un packages. Tere are 50 balloons in each package.
Answer:
Step-by-step explanation:
270 div
Simplify 22w/55
2/5
22/55
2w/11
2w/5
Answer:
2w/5
Step-by-step explanation:
Divide whole numbers by 11,leave the variable.
n the figure at the right UV || BJ || QL, BQ = 6, UL = 3y - 1 , VB = y + 2 and UJ = y + 5 then y =
Answer:
s
Step-by-step explanation:
the question is what has BLM Done?
Answer:
Well, BLM has done a lot.
It brought people together, but also shredded others from each other.
The BLM was like a wilting rose still shining as bright as ever.
It started riots sure, but some BLM supporters were quite peaceful.
It all depends on how we look towards the BLM.
Explain your answer !
( WILL GIVE BRAINLST)
Answer:
C
Step-by-step explanation:
I think it would be easiest to see these numbers in decimal form to determine which number is the greatest and which is the smallest.
2 as a decimal=2.0
Square root of 7 as a decimal= 2.64575131106
1/3 as a decimal= 0.3333333333333333333333333333333333333333333...
So, 0.3333333...<2.0<2.64575131106
or 1/3, 2, square root of 7
Answer is C
2. Factorizar: 3ax – 3ay – 2bx + 2by
help please :(
Answer:
There are no like terms.
Step-by-step explanation:
basically that is your answer you can not solve so it will be 3ax – 3ay – 2bx + 2by
Sophia uses 3 3/4 cups of flour for each cake she makes. She has a 10-pound bag of flour that costs $8.79 and contains 152 quarter-cup servings.
Question 1
Part A
How many cakes can Sophia make with this flour?
The number of cakes Sophia can make is 10.
The bag of flour contains 152 quarter-cup servings. So, the quantity in t he bag has to be divided by four.
Number of cups = 152 / 4 = 38 cups
In order to determine the number of cakes she can make, divide the number of cups in the bag by the cups needed to make one cake.
38 ÷ 3 3/4
38 ÷ 15/4
38 × 4/15 = 10.1 cakes
To learn more about division, please check: https://brainly.com/question/808272
Sophia will be able to make 10 cakes with this amount of flour.
Since Sophia uses 3 3/4 cups of flour for each cake she makes, and she has a 10-pound bag of flour that costs $ 8.79 and contains 152 quarter-cup servings, to determine how many cakes can Sophia make with this flour you must perform the following calculation:
3/4 = 0.75 (152/4) / 3.75 = X 38 / 3.75 = X 10.13 = X
Therefore, Sophia will be able to make 10 cakes with this amount of flour.
Learn more about maths in https://brainly.com/question/25815188
Someone please help
Answer:
100
Step-by-step explanation:
360 is the total degree for every quadrilateral. 80+75+105=260. 360-260=100.
PLEASE HELP,, WILL GIVE LOTS OF POINTS & BRAINLY
Answer:
the amplitude is 3/2
the vertical shift is 0
Step-by-step explanation:
Item 2
Which of the following is not another way of expressing 88 out of 100?
22/25
0.088
88%
0.88
Answer:
The answer is B: 0.088
Step-by-step explanation:
22/25, multiply both sides by 4 to get 88/100
88% is 88/100
0.88 is 88/10
What percent of 30 is 45?
Please
Answer:
150
Step-by-step explanation:
Answer:
answer is 66.67
Step-by-step explanation:
30: 45*100=
(30*100):45=
3000:45=66.67
Which term best describes the two lines represented by the equations below?
Answer:
Option (2)
Step-by-step explanation:
Equations of the lines have bee given as,
y = [tex]\frac{4}{3}x-5[/tex]
y = [tex]\frac{4}{3}x+3[/tex]
Both the equations are in the slope intercept form. (y = mx + b)
They have same slopes but different y-intercepts.
Same slopes of the equations define the lines to be the parallel lines.
Therefore, Option (2) will be the correct option.
A zoo has 15 toucans and 60 parrots. What is the ratio of the number of toucans to the
number of parrots at the zoo
Answer:
1:4
Step-by-step explanation:
Answer:
1:4
Step-by-step explanation:
15 is the common factor so divide both numbers by 15 and that's what you get
let f(x)=4+3x and g(x)=x^2-3. find each function value: (f+g)(-4)
Answer:
43
Step-by-step explanation:
You are going to want to substitute the x of the function f(x) with the function of g(x) and replace the x in g(x) with -4
(f+g)(-4) = 4+3((-4)^2-3)
=43
hope this helped!
Answer:
43
Step-by-step explanation:
;)
simplify(x^5^2/ x^2)
Answer:
x^23
Step-by-step explanation:
Cancel the common factor of x^5^2 and x^2
Factor x^2 out of x^5^2
(x^2) (x^5^2-2) / (x^2)
cancel common factors
x^25-2 = x^23
-g + 2(3 + g) = -419 + 1)
What is the solution
Answer:
Step-by-step explanation:
−
g
−
424
v
=
-
g
-
424
Answer: g=-424
Step-by-step explanation:
Given
-g+2(3+g)=-419+1
Expand parenthesis
-g+6+2g=-419+1
Combine like terms
g+6=-418
Subtract 6 on both sides
g+6-6=-418-6
g=-424
Hope this helps!! :)
Please let me know if you have any questions
4.23cups/1liter = x cups/6liters
i need help i will mark brainiest
Step-by-step explanation:
option D
16+ 125/ 6= 141/6 = 47 / 2 = 23.5
plz mark my answer as brainlist plzzzz.
hope this will be helpful to you .
Answer:
23.5
Step-by-step explanation:
4^2+5^3/2+4
16+125=141
141/6=23.5
100000000000000000000+10000000000000000
Answer:
1.0001e+20
Step-by-step explanation:
Answer:
1.0001e+20
Step-by-step explanation: