The formula for compound interest is:
Where:
A = the future value of the investment (including interest)
P = the principal investment amount (the initial deposit amount)
r = the annual interest rate (decimal)
n = the number of times that interest is compounded per year
t = the number of years the money is invested for
If Josh invests $500 in a 5-year fixed interest savings bond that pays 5% per annum, how much will his entire investment be worth at the end of the term?
Answer:
Future value, A = $642
Step-by-step explanation:
Given the following data;
Principal = $500
Interest rate = 5% = 5/100 = 0.05
Time, t = 5 years
n = 365
To find the future value, we would use the compound interest formula;
[tex] A = P(1 + \frac{r}{n})^{nt}[/tex]
Where;
A is the future value.
P is the principal or starting amount.
r is annual interest rate.
n is the number of times the interest is compounded in a year.
t is the number of years for the compound interest.
Substituting into the equation, we have;
[tex] A = 500(1 + \frac{0.05}{365})^{365*5}[/tex]
[tex] A = 500(1 + 0.000137)^{1825}[/tex]
[tex] A = 500(1.000137)^{1825}[/tex]
[tex] A = 500*1.2840 [/tex]
Future value, A = $642
Three houses for of a bag of flour to make how many bags of flour does grandma need to buy if she is making 10 dozen cookies
the value ax^2 + bx is 5 when x=1, and is equal to 0 when x=1.what are the values of a and b. explain how u arrived at your answer
Answer: a = 1.25, b = 2.5, c = 1.25
Step-by-step explanation:
Use vertex form and substitute a point into it (1, 5)
5 = a(1 + 1)^2 + 0
5 = a(2)^2 + 0
5 = 4a
a = 5/4
y = 5/4 (x + 1)^2
y = 5/4 (x^2 + 2x + 1)
1.25 x^2 + 2.5x + 5/4
Is there a "c" value otherwise it's not possible
Martin says that 1/3 + 1/6=2/9 Use the drop-down menus to explain why Martin is incorrect. Martin is incorrect because is incorrect
Answer:
A. is incorrect. He has to divide 76 by 19, instead of subtracting 19 to 76.
B. This equation has one solution. v=4
Step-by-step explanation:
Hi, Martin’s answer is incorrect.
A. He has to divide 76 by 19, instead of subtract 19 to 76.
The correct steps are:
19v = 76
Since 19 is multiplying the variable, to eliminate it we have to divide by 19.
v = 76/19
v = 4
B. This equation has one solution. It’s v=4
Feel free to ask for more if needed or if you did not understand something.
a. less than
b.greater than
What is 696 divided by 12 and show your work please
Answer:
696/12
696/12 math problems division = 58. Therefore 58 to 2 decimal places= 58
696/12 divided by 2 » (696/12) ÷ 2 » 58 ÷ 2 = 29
Step-by-step explanation:
The answer is 58 mark me brainliest
please I need help on maths
Answer:
155
Step-by-step explanation:
Answer:
115
Step-by-step explanation:
360 - (25 x 4) = 260
Each angle = 260/4= 65
A= 180- 65 = 115
I hope im right!!
Is 6 right?? Please help
Answer:
yes, it should be
Step-by-step explanation:
Yo help me out man plz bro
Answer:
this is a live quiz this doesn't follow brainly guidelines
Step-by-step explanation:
Answer:
after 5 years y\hfhfjdjrjrnufjrjdunens
The radius of a cylindrical construction pipe is 1.5ft. If the pipe is 17ft long
Answer:
The volume is 120.11ft^3
Step-by-step explanation:
Given
[tex]r = 1.5ft[/tex]
[tex]l = 17ft[/tex]
Required
Determine the volume
This is calculated as:
[tex]V = \pi r^2h[/tex]
h, in this case represents the length;
So, we have:
[tex]V = 3.14 * 1.5^2 * 17[/tex]
[tex]V = 120.11ft^3[/tex]
Please help I need a better grade in this class.
Answer:
21;13
Step-by-step explanation:
ok so 68/4=17
and length is 4 longer then with so
so length is 17+4 amd with is 17-4
length:21
width:13
The price of a 9-minute phone call $1.35. What is the price of an 11-minute phone call?
Answer:
1.65
Step-by-step explanation:
I did 1.35/9
The answer I got after dividing the two is 0.15.
Then I multiplied 0.15 by 11 and I got 1.65.
Which value for x makes the sentence true?
2/3x +5=7
A.
-4
B.
18
C. 8
D.
3
Answer:
Answer is D: 3
Step-by-step explanation:
PLEASE PLEASE HELP ME IM DESPERATE
Answer:
B) (4x+1)
Step-by-step explanation:
-8x^3/-2x^2=4x and -2x^2/-2x^2=1, hence 4x+1.
-12x/-3=4x and -3/-3=1, hence 4x+1
o keep the spectators out of the line of flight at an air show, the ushers arranged the show's seats in the shape of an inverted triangle. Kevin, who loves airplanes, arrived very early and was seated in the front row, which contained one seat. The second row contained three seats, and those filled very quickly. The third row contained five seats, which were given to the next five people who came. The next row contained seven seats. This seating pattern continued all the way to the last row, with each row containing two more seats than the previous row. All 20 rows were filled. How many people attended the air sh
Answer:
400 people attended the air show.
Step-by-step explanation:
Arithmetic sequence:
An arithmetic sequence has the following general equation:
[tex]a_n = a_1 + d(n-1)[/tex]
In which [tex]a_n[/tex] is the nth term, [tex]a_1[/tex] is the first term and d is the common difference between the terms.
The sum of the first n terms of an arithmetic sequence is given by:
[tex]S_n = \frac{n(a_1+a_n)}{2}[/tex]
In this question:
First row 1 seat, second 3 seats, 3rd 5 seats and so on.
So we have the following arithmetic sequence:
{1,3,5,7,9,...}
So [tex]a_1 = 1, d = 9 - 7 = 7 - 5 = ... = 2[/tex]
So
[tex]a_n = 1 + 2(n-1)[/tex]
All 20 rows were filled. How many people attended the air show?
Sum of the 20 terms of the progression. So
[tex]S_{20} = \frac{20(1+a_{20})}{2} = 10(1+a_{20})[/tex]
The 20th term is:
[tex]a_{20} = 1 + 2(20-1) = 1 + 2*19 = 1 + 38 = 39[/tex]
So
[tex]S_{20} = 10(1+a_{20}) = 10(1 + 39) = 10(40) = 400[/tex]
400 people attended the air show.
Write the equation of the line, in slope-intercept form, through the
following two points
(-4,-9)
(1, 11)
Answer:
(1, 11)
that the answer
I don't know it is not sure it say Write the equation of the line, in slope-intercept form, through the
following two points
that why i say that
The ratio of red marbles to blue
marbles in Simran's bag is equal to 4
to 7. If there are 20 red marbles, how
many blue marbles are there?
Which of the following expressions are equivalent to 256^x? Select all that apply.
a. 8^2x
b. 4^4x
c. (64^x)^2
d. (16^x)^2
e. 2^8x
Answer:
d
Step-by-step explanation:
i did it on eduhguenity
The solutions which satisfy the equation A = 256ˣ are
Option B. 4⁴ˣ
Option D. 16²ˣ
Option E. 2⁸ˣ
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is given by A = 256ˣ
a)
The value of equation B = 8^2x
B = 8²ˣ
On simplifying the equation , we get
B = 8²⁽ˣ⁾
B = 64ˣ
And the value of B ≠ A
b)
The value of equation B = 4^4x
B = 4⁴ˣ
On simplifying the equation , we get
B = 4⁴⁽ˣ⁾
B = 256ˣ
And the value of B = A
c)
The value of equation B = (64^x)^2
B = (64ˣ)²
On simplifying the equation , we get
B = 64²⁽ˣ⁾
B = 4096ˣ
And the value of B ≠ A
d)
The value of equation B = (16^x)^2
B = (16ˣ)²
On simplifying the equation , we get
B = 16²⁽ˣ⁾
B = 256ˣ
And the value of B = A
e)
The value of equation B = 2^8x
B = (2⁸)ˣ
On simplifying the equation , we get
B = 256⁽ˣ⁾
And the value of B = A
Hence , the equations which satisfy are
Option B. 4⁴ˣ
Option D. 16²ˣ
Option E. 2⁸ˣ
To learn more about equations click :
https://brainly.com/question/19297665
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Help please I give brainliest
Answer:
I think its no association because the snow cone doesn't really tell you anything you can have a snow cone at any time of day
Step-by-step explanation:
Answer:
No association
Step-by-step explanation:
The average tempature decreases while the sales of snow-cones increase
Jane has 6 more than half the number of pairs of shoes that Mercedes has. Jane has j pairs of shoes, and Mercedes has m pairs of shoes. Write an equation that shows the relationship between j and m.
The matrix is used to solve a problem. Which of the following would be a solution to the problem?
PLEASE HELP THIS ASSIGNMENT IS VERY CONFUSING
Answer:
the value of x is 10
Answer:
10
Step-by-step explanation:
Since this is a 90 degree angle (indicated by the red box), we can put the two values added equal to 90
70+2x=90
Solve for x
2x=20
x=10
People attending a basketball game either supported the home team or the visiting team. If 893 of the people attending supported the home team and 1007 supported the visiting team, what percentage supported the home team?
Answer:
47%
Step-by-step explanation:
893/1900=x/100 x=47%
3/8 of a pizza was shared among 3 persons. how much pizza would each person get?
The solution to the following system of linear equations lies in which quadrant?
-2x + 3y = 8
4x + y=-2
Select one:
A. Quadrant I
B. Quadrant II
C. Quadrant III
D. Quadrant IV
Convert 20 miles to km
Answer:
32.1869
Step-by-step explanation:
You can use an online converter!
You can look up Miles to KM
Can you please help me please
Answer:
$182.84
Step-by-step explanation:
169.30*0.08=13.54
13.54+169.30=
$182.84
Hope this helps!!
Which is the completely factored form of 3x2 – 12x – 15?
3(x + 1)(x – 5)
3(x – 1)(x + 5)
(3x + 1)(x – 15)
(3x – 1)(x + 15)
Answer:
(x - 5)(3x + 3)
Step-by-step explanation:
(x - 5)(3x + 3)
3x2 + 3x - 15x - 15
3x2 - 12x - 15
PLEASE HELP DUE TONIGHT
Answer:
The answer should be 20,000 feet
Step-by-step explanation:
sin 0 =opposite/hypotenuse
sin 30 = AB/AC
sin 30 = 10000/c
c= 10000/sin 30
c=10000/1/2
c=20,000 feet
PLZZZ HELP ME I DON'T GET THISq
Answer:
Step-by-step explanation:
To distribute means to multiply everything outside the parenthesis with everything inside the parenthesis, so in this case 7x8 then 7(x) then 7x2 so that is equal to 56 + 7x + 14, so combine the 56+14 so we get 7x + 70. I hope '7' is part of the problem and not the question number
Answer:
7x + 70
Step-by-step explanation:
As implied in the question, when you use the distributive property you need to distribute the factor outside the parenthesis to the ones inside the parenthesis.
When we look at 7(8+x+2)
You need to multiply all the factors inside the parenthesis by the 7 outside the parenthesis.
to break it down, do
7*8 = 56
7*x = 7x
7*2 = 14
From here, just add 56+14 to get 70 and then write out your answer as 7x + 70.
Elena is 56 inches tall what is her height in meters?
Answer: 1.4 meters
divide the length value by 39.37
56/39.37= 1.4