Linda and Rob open an online savings account that has a 2.89% annual interest rate, compounded
weekly. If they deposit $35 every week, how much will be in the account after 15 years?
Answer:
FV= $34,222.33
Step-by-step explanation:
First, we need to calculate the weekly interest rate:
Weekly interest rate= 0.0289/52= 0.00056
To calculate the future value (FV), we need to use the following formula:
FV= {A*[(1+i)^n-1]}/i
A= weekly deposit
n= 15*52= 780
A= $35
FV= {35*[(1.00056^780) - 1]} / 0.00056
FV= $34,222.33
30 cupcakes he spreads 1/5 mint icing and 1/2chocolate how many will have vanilla icing
What are the solutions of the equation x4 - 5x2 - 14 = 0? Use factoring to solve.
x = +/- √7 and x = +/- √2
x = +/- i√7 and x = +/- i √2
x = +/- i √7 and x = +/- √2
x = +/- √7 and x = +/- i √2
Answer:D
Step-by-step explanation:
The solution is: x = +/- √7 and x = +/- i √2 are the solutions of the equation x^4 - 5x^2 - 14 = 0.
What is simplification?Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
here, we have,
given that,
we have to factorize the equation,
The given equation is
x^4 - 5x^2 - 14 = 0
To factor this expression, we can change variables to make easier to see the solution.
x^4 = y^2
and
x^2 = y
Applying the change, we have
y^2 - 5y - 14 = 0
Now, you can observe that to factor this expression, we just need to find two number which product is 14 and which difference is 5, such numbers are 7 and 2.
y^2 - 5y - 14 = 0
or, (y-7) ( y+2) = 0
However, remember that , y = x^2
so, (x^2-7) ( x^2+2) = 0
Applying the zero property, we have
x = +/- √7
and x = +/- i √2
As you can see, the equation has two real solutions and two complex solutions.
Therefore, the right answer is the last choice.
To learn more on simplification click:
brainly.com/question/28996879
#SPJ7
Create an algebraic expression
Answer:
3x-5+2y
Step-by-step explanation:
Wasnt much detail to the question so i created a random algebra expression you cannot have an equal sign for an expression because that would change it from an expression to an equation.
pls help me answer this
Simplify and Factorise a(a + b - c) - bc
Step-by-step explanation:
[tex] = a(a + ab - c) - bc[/tex]
[tex] = {a}^{2} + {a}^{2} + ab - ac - bc[/tex]
[tex] = {2a}^{2} + ab - ac - bc[/tex]
(18 ÷ 3) + (3² - 7) =
finish brackets first.
(6) + (9-7)
= 6+2
=8
please help and explain!! I got 14x +0
Answer:
[C] 16
Explanation:
7x + 8 − 7x + 8= 7x + 8 + −7x + 8
Combine Like Terms= 7x + 8 + −7x + 8
= (7x + −7x) + (8 + 8)
= 16
Find the coordinates of the midpoint AB
what are terms
answer choices...
1. the number in front of the variable
2. a letter that represents a number
3. the individual parts of an expression
4. the number that stands Alone with no variable...
please answer
Answer:
3. the individual parts of an expression.
Step-by-step explanation:
an example would be 5x + 2y - 6
5x, 2y, and 6 are all terms that are separated by symbols like +,-,× etc.
27 students are learning to make balloons animals. There are 3,172 balloons to be shared equally among the students. How many balloons are left over after sharing them equally? Show all necessary work.
Answer:
you would do 3,172 divided 27 which would be 117 then subtract that by 3,172
Step-by-step explanation:
Find the quotient by using a grid or drawing a picture.
720 ÷ 16
A. 46
B. 47
C. 45
D. 48
Eric and Shiloh each have a savings account. The ratio of Eric's account balance to Shiloh's account balance is 4:3. Together they have a total of $140 in their accounts. In the tape diagram below, how much money does each bar represent? [Type your answer as a number.]
Answer:
20
Step-by-step explanation:
E:S
4:3
4u+3u=140
7u=140
u=20
can anyone help me thanks
Answer:
C
Step-by-step explanation:
We can use the vertex form of a quadratic equation, given by:
[tex]f(x)=a(x-h)^2+k[/tex]
Where a is the leading coefficient and (h, k) is the vertex.
We are given that the vertex is (-3, 1).
Hence, h = -3 and k = 1. By substitution:
[tex]f(x)=a(x-(-3))^2+(1)[/tex]
Simplify:
[tex]f(x)=a(x+3)^2+1[/tex]
With this, we can eliminate B and D.
Notice that our parabola is curving downwards.
Therefore, our leading coefficient must be negative.
The only choice that leaves us with is C.
So, our function is:
[tex]f(x)=-(x+3)^2+1[/tex]
And our final answer is C.
What is the value of the expression three less than the quotient of ten and a number, increased by six" when n = 2?
Answer:
The Answer is 8.
Step-by-step explanation:
I just took the test on Edge and got it right, hope this helps! :)
The owner of Carlisle Construction is a little
overprotective of his brand new cement mixer,
so each night, he parks it in a storage facility
that is 120 feet long, 45 feet wide, and 45
feet high. What is the facility's volume in cubic
yards?
Answer:
The facility's volume in cubic yards is 9000
Step-by-step explanation:
The volume of the facility is given by the multiplication of it's dimensions.
We want the volume in cubic yards, so the dimensions have to be in yards.
Each feet has a third of an yard. So the dimensions are:
120 feet = 40 yards
45 feet = 15 yards
45 feet = 15 yards
What is the facility's volume in cubic yards?
[tex]V = 40*15*15 = 9000[/tex]
The facility's volume in cubic yards is 9000
simplify the expression 12( a+ 5)
Answer:
12a+60 i think lol
Step-by-step explanation:
this is how i did it though:
12(a+b)
12a+60
please can some one solve this for me thankyou :-)
its sudoku
In the .docx file is a SUDOKU that needs to be resolved.
See the solution in the attached image.
398 divided by 344?
Please help me.
Answer:
1.15697674419
Step-by-step explanation:
Answer:
1.15697674419 is the answer
What is the area of a rectangular cake with a length of 10 inches and width of 6 inches?
Answer:the area of the cake is 60 inches
Step-by-step explanation: length times width. hope this helps.
Due Today, Help me pls. I will MARK AS BRAINLIEST.
Evaluate −4(14)6x for x=13. Enter your answer as a fraction in simplest form in the box.
we have 2 fractions 5/8 and 5/4
Please help me with this
Answer:
2nd option AOD and BOD because they add up to 180
Step-by-step explanation:
Plsss help ASAP pls this is due at 12:00
Answer:
$74.49
(basically $74.50)
Step-by-step explanation:
hope that helps :))
Help please! Could you put an explanation as well?
Answer:
y=-(4x/3) -1
Step-by-step explanation:
Slope=m= -4/3
y intercept = c = -1
now using equation;
y= mx+c
y= (-4/3)x+(-1)
y=-(4x/3) -1
Help I’m being timed!!!
Answer:
50.24 square inches
Step-by-step explanation:
A circles area is:
[tex]\pi r^{2}[/tex]
Insert the values:
(3.14)(4^2)
3.14(16)
50.24 square inches
A machine can print 300 posters in 10 minutes. How many posters can the machine print in 2 minutes?
Answer: 60
Step-by-step explanation:
30 papers every minute.
Answer:
The correct answer is 60
Step-by-step explanation:
First you find the unit rate by doing 300 divided by 10 which equals 30 posters per minutes then do 30 times 2 to equal 60
HAVE A GOOD DAY!
How to calculate slope from a line on a graph
Pls help and have a good day
Answer:
6^5
Step-by-step explanation:
You too, btw!
Answer:
6 with a small 5 on the side so press the button with the a and the small be then put 6 and 5 as the small number
exponents are just 6 x 6 x 6 x 6 x 6 just count the number of 6's and put it as the little number if that names sense
Step-by-step explanation: