Answer:
We conclude that the time required to get a total amount of $6,880.00 from compound interest on a principal of $ 4,400.00 at an interest rate of 2.4% per year and compounded 4 times per year is 18 years and 8 months.
Step-by-step explanation:
We know the formula
[tex]A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}[/tex]
where
A denotes the Accrued Amount (principal + interest) P denotes the Principal Amount r denoted the Annual Interest Rate t denotes the Time Period in yearsn denotes the number of compounding periods per unit tGiven
Total amount A = $6,880
Principle amount P = $4,400
Interest Rate r = 2.4% = 0.024 per year
Compounded quarterly = n = 4
Thus, the time period can be fetched using the simplified-derived equation suchs as:
t = ln(A/P) / n[ln(1 + r/n)]
substituting the values
t = ln(6,880.00/4,400.00) / ( 4 × [ln(1 + 0.006/4)] )
t = 18.8 years
Therefore, we conclude that the time required to get a total amount of $6,880.00 from compound interest on a principal of $ 4,400.00 at an interest rate of 2.4% per year and compounded 4 times per year is 18 years and 8 months.
Answer:
The answer is actually 18.7 -.-
Step-by-step explanation:
Mel made a quesadilla. He cut 1/10 of the quesadilla to save for later. Mel then shared the remaining portion among himself and 2 friends. What fraction of the whole quesadilla did each person get?
Answer:
1/3
Step-by-step explanation:
Mel made a quesadilla. He cut 1/10 of the quesadilla to save for later.
Let the whole portion of the quesadilla be represented as 10/10 = 1
The amount of quesadilla Mel left
= 1 - 1/10
= 9/10
Mel then shared the remaining portion among himself and 2 friends.
The amount if each portion that Mel and his friends got is calculated as:
9/10 ÷ 3 friends
= 9/10 × 1/3
= 3/10
Mel and his friends got 3/10 of the remaining quesadilla.
The fraction of the whole quesadilla(10/10) did each person get is calculated as:
10/10 × 3/10/9/10
= 3/10 ÷ 9/10
= 3/10 × 10/9
= 1/3
in the recent year, 51.9 billion cans were recycled. About how many cans per this week
5. Which expression is equivalent to x2 - 17 x - 60?
Which company has the highest charge per attendee?
Step-by-step explanation:
As an event planner, you may have noticed the steadily increasing online event registration fees. Moreover, many people are anticipating the next economic crisis is coming soon. It may trigger you to think about looking for a new registration system that’s affordable yet still flexible and easy to use.
So we are here to help you search for the best option for your event registration. Start by going through our checklist so you can understand what to look for. Then, check the pricing comparisons of the top 7 online event registration software options out there, so you can browse them side by side to find the best one for you. Save time (and money!) and find the perfect online event registration for your next event.
Can someone help me with letter D?
Answer:
1.5 times greater because the ratio of triangle ABC to triangle DEF is 2:3
Step-by-step explanation:
Answer:
1.4 times is the correct answer
what is the answer to the question?
Answer:
120°
Step-by-step explanation:
m<ABD+m<DBC=m<ABC
61°+59°=120°
hope this helped!
Answer:
We conclude that the value of m∠ABC = 120°
Step-by-step explanation:
Given
m∠ABD = 61°
m ∠DBC = 59°
To Determine
m∠ABC = ?
It is clear that the value of m∠ABC can be determined by adding m∠ABD and m∠DBC because m∠ABC the segment BD divides the angle m∠ABC into two adjacent angles m∠ABD and ∠DBC.
Therefore,
m∠ABC = m∠ABD + m∠DBC
= 61° + 59° ∵ m∠ABD = 61°, m ∠DBC = 59°
= 120°
Therefore, we conclude that the value of m∠ABC = 120°
Solve each system using substitution or elimination. Show all required work. -10x^2+80x+y=155 5x^2-40x+y=-85
Answer:
[tex]x = 4[/tex]
[tex]y = -5[/tex]
Step-by-step explanation:
Given
[tex]-10x^2+80x+y=155[/tex]
[tex]5x^2-40x+y=-85[/tex]
Required
Solve by substitution
Make y the subject in [tex]5x^2-40x+y=-85[/tex]
[tex]5x^2-40x+y=-85[/tex]
[tex]y = -5x^2 + 40x - 85[/tex]
Substitute [tex]y = -5x^2 + 40x - 85[/tex] in the first equation
[tex]-10x^2+80x+y=155[/tex]
[tex]-10x^2 + 80x -5x^2 + 40x - 85 = 155[/tex]
Collect Like Terms
[tex]-5x^2-10x^2 + 80x + 40x - 85 - 155=0[/tex]
[tex]-15x^2 + 120x-240=0[/tex]
Divide through by -15
[tex]x^2 -8x + 16 = 0[/tex]
[tex]x^2 - 4x - 4x + 16 = 0[/tex]
[tex]x(x - 4) - 4(x - 4) = 0[/tex]
[tex](x - 4)(x - 4) = 0[/tex]
[tex]x - 4\ = 0[/tex] or [tex]x - 4\ = 0[/tex]
[tex]x = 4[/tex] or [tex]x = 4[/tex]
[tex]x = 4[/tex]
Substitute 4 for x in [tex]y = -5x^2 + 40x - 85[/tex]
[tex]y = -5(4)^2 + 40 * 4 - 85[/tex]
[tex]y = -5*16 + 40 * 4 - 85[/tex]
[tex]y = -80 + 160 - 85[/tex]
[tex]y = -5[/tex]
1 y=8x + 5
Linear or non-linear
2 y= -x + 5
3 y=0.75x - 2
4 y = -2x exponent 2 + 1
Thanks for the help with this stander mastery
A toddler section of a pool mesures 7 feet by 8 feet. What is area of the toddler section
Answer:
56 ft^2
Step-by-step explanation:
Plz answer this!⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️
Answer:
1/2 ÷ 3/10
1/2×10/3
5/3
1 2/3
1) option is correct
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Answer:
1) 1 2/3
Step-by-step explanation:
The model of choice 1 shows that 3/10 goes into 1/2 one and two-thirds times. That also happens to be the only model with the correct result.
1/2 ÷ 3/10 = 5/10 ÷ 3/10 = 5/3 = 1 2/3
What is the approximate value of sin C?
B
13.93
5
A
13
12
O A. 0.93
OB. 0.36
O C. 2.79
D. 0.38
Answer: 0.36
Step-by-step explanation:
Ap3x
ASAP can someone help and explain this to me
Answer:
[tex]d = 15.0[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra II
Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point C (7, -4)
Point D (-8, -5)
Step 2: Find distance d
Substitute [DF]: [tex]d = \sqrt{(-8-7)^2+(-5+4)^2}[/tex]Subtract/Add: [tex]d = \sqrt{(-15)^2+(-1)^2}[/tex]Exponents: [tex]d = \sqrt{225+1}[/tex]Add: [tex]d = \sqrt{226}[/tex]Evaluate: [tex]d = 15.0333[/tex]Round: [tex]d = 15.0[/tex]Please help me! Thank you so much!
Answer: It's (A) 12<X
Step-by-step explanation: I chose that one because the line highlighted on the number line, it's bigger than 12!
Would a graph with a slope of 0 and a y intercept of 4 be proportional or not proportional?
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Answer:
not proportional
Step-by-step explanation:
If the y-intercept is not zero, the graph does NOT show a proportional relationship. A y-intercept of 4 means the relation is not proportional.
What value of x makes the equation true?
3(4x-5)-4x+1=-6
Please show work
Answer:
x = 1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
3(4x - 5) - 4x + 1 = -6
Step 2: Solve for x
Distribute 3: 12x - 15 - 4x + 1 = -6Combine like terms: 8x - 14 = -6Isolate x term: 8x = 8Isolate x: x = 1Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 3(4(1) - 5) - 4(1) + 1 = -6Multiply: 3(4 - 5) - 4 + 1 = -6Subtract: 3(-1) - 4 + 1 = -6Multiply: -3 - 4 + 1 = -6Subtract: -7 + 1 = -6Add: -6 = -6Here we see that -6 does indeed equal -6.
∴ x = 1 is the solution to the equation.
Complete the proof that AFGH isn't similar to AJIH.
40 plus 40 minus 20 times 0 plus 3 plus 125 equals what
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Answer:
208
Step-by-step explanation:
The order of operations requires that the multiplication be done before addition or subtraction.
40 + 40 - 20×0 + 3 + 125
= 40 + 40 - 0 + 3 + 125
= 80 - 0 + 3 + 125
= 80 + 3 + 125
= 83 + 125
= 208
__
The calculator shown in the attachment can be relied upon to perform calculations according to the order of operations. (It adds parentheses to show the order in which it is doing the calculation.)
Answer:
208
40 plus 40 minus 20 times 0 plus 125 in written form:
40 + 40 - 20 × 0 + 3 + 125
In order to get our answer 208, we must do it step by step:
First, we need to put 40 plus 40 into an equation:
40 + 40 = 80
Now that we have 80, we need to find 20 times 0:
20 x 0 = 0
Since 20 times 0 equals 0, we can now add 80 plus 3:
80 + 3 = 83
Now what we have left is to add 83 plus 125 which will give us our answer:
83 + 125 = 208!
The answer will be 208.
Hope this helps!
~Hocus Pocus
A parabola can be drawn given a focus of (4, -3) and a directrix of x=2 Write the equation of the parabola in any form
Answer:
The equation of the parabola ( y +3)² = 4 ( x-3)
Step-by-step explanation:
Step(i):-
we know that the focus of the parabola (h + a , k ) and directrix is x = h - a
Given
focus of the parabola (h + a , k ) = ( 4, -3 )
Equating h + a =4 ..(i)
and k =-3
Given directrix is x = 2
h - a =2 ..(ii)
Adding (i) and (ii) equations , we get
h + a + h-a = 4+2
2 h = 6
h =3
substitute h=3 in equation (i)
h + a =4
3 + a =4
a = 1
The length of Latus rectum 4a = 4(1) =4
Step(ii):-
The vertex ( h, k) = ( 3 , -3) and a = 1>0
Given directrix is x = h - a = 2 so the parabola axis is lie on X- axis and symmetric about x-axis
The equation of the parabola
( y - k )² = 4 a ( x - h )
( y - (-3))²= 4(1) ( x - 3 )
The equation of the parabola ( y +3)² = 4 ( x-3)
Every 24 hours, Earth makes a full rotation around its axis. Earth's speed of rotation at the equator is 1,670 km per hour. What is the circumference of Earth's equator?
Answer:
Solution in photo
Step-by-step explanation:
Dan earns £367 over the course of a five day week. How much is that per day?
what is the answer to -4-8×+2-15
A florist can order roses in bunches of 12 and lilies in bunches of 8. Last month she ordered the same number of roses and lilies. If she ordered no more than 100 of each kind of flower, how many bunches of each could she have ordered? Find all the possible combinations.
Answer:
2 bunches of roses and 3 bunches of lilies.
4 bunches of roses and 6 bunches of lilies.
Step-by-step explanation:
Given that:
Roses come in a bunch of 12 flowers and
Lilies come in a bunch of 8 flowers
Number of roses ordered is equal to the number of lilies ordered.
Total number of flowers ordered are lesser than 100.
To find:
The possible number of combinations such that equal number of flowers are bought.
Solution:
Here, we need to find the Least Common Multiple.
[tex]12 = \underline{2 \times 2} \times 3[/tex]
[tex]8 = \underline{2 \times 2} \times 2[/tex]
LCM = [tex]2\times 2 \times 3 \times 2 = 24[/tex]
Therefore, we need to find the number of bunches such that number of flowers of each type bought are equal to LCM or multiples of LCM.
i.e.
24, 48, 72, 96 ....
Here, two types of flowers are there.
Therefore, 24 of each type, total 48 flowers i.e. 2 bunches of roses and 3 bunches of lilies.
48 of each type, total 96 flowers i.e. 4 bunches of roses and 6 bunches of lilies.
Total possible combinations:
2 bunches of roses and 3 bunches of lilies.
4 bunches of roses and 6 bunches of lilies.
pls help meeeeeeeeee
The radii of two right circular cylinders are in the ratio 3 : 4 and their heights are in the ratio 1 : 2. Calculate the ratio of their curved surface areas
Answer:
18.852:50.272
Step-by-step explanation:
Step one:
given
The radii of two right circular cylinders are in the ratio 3 : 4
r1= 3
r2= 4
Their heights are in the ratio 1 : 2
h1= 1
h2= 2
Step two:
The expression for the curve surface area is
CSA= 2πrh
CAS1= 2πr1h1
CAS1= 2*3.142*3*1
CAS1= 18.852
CAS2= 2πr2h2
CAS2= 2*3.142*4*2
CAS1= 50.272
The ratio of their curved surface areas
=18.852:50.272
its all in the picture
Answer:
6
Step-by-step explanation:
..............................
Answer:
f(- 3) = 6
Step-by-step explanation:
f(- 3) means what is the value of f(x) when x = - 3
Locate x = - 3 on the x- axis
Then go vertically up to meet the graph at (- 3, 6 )
The value of f(- 3) is therefore 6, that is
f(- 3) = 6
Find the slope of the line.
-1
3
-10
-11
12
4
3
2 0 1
9 10
The slope is
Turn
-1
Step-by-step explanation:
because looking at the graph it is negative, and it goes down one over one
I need to know this ASAP please! What is 2/3x + 1/3x?
Answer:
x
Step-by-step explanation:
2/3x+1/3x=x
Answer:
1
Step-by-step explanation:
2/3x + 1/3x
2+1/3x
3/3x
=x
one x value is 1
If QS and TƯ
are parallel lines and
m
55°, what is m
Answer:
m is your slope. In parallel lines, your slopes are always the same and the y-intercept is always different. so ur slope is also 55.
hmu if u want me to tutor you! im a very good tutor and my fee is 50 cents per hour and every homework or test question is a dollar per page :)
Step-by-step explanation:
The side lengths of triangle ABC are 3, 4, and 5. Which set of ordered pairs form a triangle that is congruent to
triangle ABC?
(-3,1),(-3,5),(0,5)
(1,-2),(1,3),(4,3)
(6,-3),(1,-3),(6,1)
(1,3),(1,4),(5,1)
Answer:
Im pretty sure the answer is C because there is a side that is 3, a side that is 4, and a side that is 5
Step-by-step explanation:
Answer:
The answer is A or (-3,1),(-3,5),(0,5)
Step-by-step explanation:
I guessed on E d g e (2021) and got it right :)
-18 > -2(2x + 9) - 4+x
Answer:
x>-4/3 last answer i got i hope it is helpful have a nice day