Answers
Answer:
The account balance will be $2,614.16 after 10 years ⇒ D
Step-by-step explanation:
The formula for compound interest, including principal sum is:
[tex]A=P(1+\frac{r}{n})^{nt}[/tex], where
A is the future value of the investment/loan, including interestP is the principal investment amount r is the annual interest rate (decimal)n is the number of times that interest is compounded per unit tt is the time the money is invested or borrowed forLet us use this rule to solve the question
∵ Ted invests $1,077 in a savings account with a fixed annual interest
rat 9% compounded three times per year
∴ P = 1,077
∴ r = 9% = [tex]\frac{9}{100}[/tex] = 0.09
∴ n = 3 ⇒ three times per year
∵ The time is ten years
∴ t = 10
Substitute these values in the rule above to find A
∵ [tex]A=1077(1+\frac{0.09}{3})^{3(10)}[/tex]
→ Use your calculator to find the answer
∴ A = 2,614.161681
→ Round it to the nearest cent (2d.p.)
∴ A = $2,614.16
∴ The account balance will be $2,614.16 after 10 years.
Related Questions
help me pllsssssss i am havig trouble
Answers
Answer:
First line
Step-by-step explanation:
It's an X-intercept line so you're plugging in the number that the dot is on in place of the X in the formula
Ron mason is a laborer. He earns $15.40 per hour. How many hours per week must he work if he wants to earn approximately $450,00 per week?
Answers
Answer:
26 hours
Step-by-step explanation:
if if he works 26 hours every week he will make $450.40 a week
In your own words, explain how to find the rate of change of the following graph at x=1. Then find the rate of change at x=1.
Answers
Answer:
Rate of change of the graph = 1
Step-by-step explanation:
Rate of change of the graph at any point is defined by the slope of the line at that point.
Since, slope of a line between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
m = [tex]\frac{y_2-y_1}{x_2-x_1}=\frac{\triangle y}{\triangle x}[/tex]
In other words, slope of a line between two points is given by the ratio of rise and run of the line between the given points.
Therefore, slope of the line passing through two points (0, 2) and (1, 3) will be,
m = [tex]\frac{3-2}{1-0}[/tex]
m = 1
Rate of change at x = 1 is 1.
A jewelry artist is selling necklaces at an art fair. It costs $200 to rent a booth at the fair. The cost of materials for each necklace is $4.50. The artist is selling the necklaces at $20 each. The jewelry artist wants to make at least a profit of $300. Write an inequality that represents the situation. Make sure to write down the given information from the problem and represent your variables. Show all of your work. B). Find a possible solution for the inequality. Show all of your work and check your answer to make sure that it makes the inequality true.
Answers
Answer:
32.25 necklacesStep-by-step explanation:
Given that the expected profit upon deduction of booth rent and material cost is at least $300
Given
let the number of necklaces be x
booth rent= $200
The cost of materials for the necklaces = $4.5x
the selling price for all the necklaces =$20x
total expenses= booth rent+cost of material = 200+4.5x
profit = selling price -total expenses
20x-300>200+4.5x+
B. the possible solution is the value of x i.e the number of necklaces to
be sold to make a profit of $300
20x-300>200+4.5x
20x-4.5x=200+300
15.5x=500
x=500/15.5
x=32.25
The Jewelry artist must have to sell a total of approximately 32.25 necklaces
Graph x>-6 on a coordinate plane.
Answers
find the cube of 2.9
Answers
[tex] {2.9}^{3} \\ 2.9 \times 2.9 \times 2.9 \\ 8.41 \times 2.9 \\ 24.389[/tex]
Answer:The cube of [tex]2.9[/tex] is [tex]24.389[/tex].
Help plz!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
444.6 liters
Step-by-step explanation:
117*3.8
444.6
-7+0.3(-4x+20)+8.8x simplified
Answers
7.6x−1
.....
Problem 11. *
11. Grace has $6 to buy a gallon of milk and some apples. The gallon of milk costs $3.59 and the apples
cost $0.60 each. Which inequality could she use to find out how many apples she can buy?
A) 6 2 0.6x + 3.59
B) 6 S 0.6x + 3.59
C) 6 S 0.6x - 3.59
D) 6 2 0.6x - 3.59
Answers
Answer:
Step-by-step explanation:
a
Raphael wants to join a game-of-the-month club. The first club costs $60 to
join and $8 per game. The second club costs $11 per game and has no fee to join.
Create an equation to find how many games would need to be purchased from each
club for the clubs to cost the same.
Answers
Answer:
1st club 8 games 2nd cub 1
Solve for x: 3(x + 1) = −2(x − 1) − 4.
Answers
Answer:
x = -1
Step-by-step explanation:
3(x+1) = -2(x-1) - 4 (Use the distributive property on both sides)
3x + 3 = -2x + 2 - 4 (collect like terms on the right side)
3x + 3 = -2x - 2 ( add 2x on both sides)
5x + 3 = -2 ( subtract 3 on both sides)
5x = - 5 (divide by 5 on both sides)
x = -1
3x+3=-2x+2-4
3=-5x+2-4
7=-5x+2
5=-5x
-1=x
Please send an answer quick I really need it the picture is above.
Answers
Answer:
-132
Step-by-step explanation:
When you plug in -8 to every x you get -2(8)^2+2(8)-20 which gives you -132.
Represent each expression as a multiple of a sum of whole numbers with no common factor. 9 × (2 + 4 + 3) 4 × (4 + 7 + 12) 12 × (3 + 8 + 1) 14 × (9 + 2 + 1) 27 × (2 + 3 + 1) 22 × (4 + 3 + 1) (36 + 96 + 12) arrowRight (126 + 28 + 14) arrowRight (16 + 28 + 48) arrowRight (18 + 36 + 27) arrowRight (54 + 81 + 27) arrowRight (88 + 66 + 22) arrowRight
Answers
Answer:
(18 + 36 + 27) = 9 x (2+4+3)
(88 + 66 + 22) = 22 x (4+3+1)
(36 + 96 + 12) = 12 x (3+8+1)
(126 + 28 + 14) = 14 x (9+2+1)
(54 + 81 + 27) = 27 x (2+3+1)
(16 + 28 + 48) = 4 x (4+7+12)
Step-by-step explanation:
The equations in the solution represent each expression as a multiple of a sum of whole numbers with no common factor.
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.
As per the given question, the required solution would be as:
(18 + 36 + 27) = 9 × (2+4+3)
This equation represents each expression as a multiple of a sum of whole numbers with no common factor.
Similarly further equations like as :
(88 + 66 + 22) = 22 × (4+3+1)
(36 + 96 + 12) = 12 × (3+8+1)
(126 + 28 + 14) = 14 × (9+2+1)
(54 + 81 + 27) = 27 × (2+3+1)
(16 + 28 + 48) = 4 × (4+7+12)
Thus, the above equations represent each expression as a multiple of a sum of whole numbers with no common factor.
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An airplane travels 4,425 kilometers west in 5 hours. What is its average velocity?
Answers
Answer:
Option C. 885 km/h West
Explanation:
Data obtained from the question. This include the following:
Displacement = 4425 Km due West
Time = 5 hours
Velocity =?
Velocity is defined as displacement per unit time. Mathematically, it is expressed as
Velocity = Displacement /Time
With the above formula, we can calculate the velocity of the plane as follow:
Velocity = Displacement /Time
Velocity = 4425/5
Velocity = 885 km/h West
Step-by-step explanation:
i did the quiz/test
if abc is an isosceles triangle and m∠A=40º,what are possible measures for angles B and C
Answers
Answer:
They could both be 70
Step-by-step explanation:
The reason why is because if you subtract 40 from 180 you get 140 and that can be evenly split in 2 ways by 70.
An isosceles triangle is one with two equal-length sides. The possible measures for ∠B and ∠C are 70°.
What is an isosceles triangle?An isosceles triangle is one with two equal-length sides. It is sometimes stated as having exactly two equal-length sides, and sometimes as having at least two equal-length sides, with the latter form containing the equilateral triangle as a particular case.
Since in an isosceles triangle the measure of any two angles is equal to each other. Therefore, assuming that ∠B and ∠C are those equal angles.
Now, given that the measure of ∠A is 40°. Therefore, the sum of the measure of all the angles of the triangle can be written as,
∠A + ∠B + ∠C = 180°
40° + ∠B + ∠C = 180°
40° + ∠B + ∠B = 180°
2 ∠B = 180° - 40°
2 ∠B = 140°
∠B = 140°/2
∠B = 70°
∠B = ∠C = 70°
Hence, the possible measures for ∠B and ∠C are 70°.
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30 is what percent of 125? Please help
Answers
Answer:
24%
Good Luck!!!
Answer:4.85
Step-by-step explanation:
How many gallons of water will be in the fish tank after 3 minutes? how can you explain your answer
Answers
The question is incomplete, the complete question is;
If in 0.5 min the tank gets 0.8 gallons of the water then
how many gallons will be in 1 min ?
how many gallons will be in 3 min?
and how long it takes for 40 gallons?
Answer:
1.6 gallons
4.8 gallons
25 mins
Step-by-step explanation:
This question has to do with proportion.
If it takes 0.5 mins for the tank to get 0.8 gallons
in 1 minute the tank will get 0.8 * 1/0.5 = 1.6 gallons
In 3 minutes the tank will get 3 * 1.6 gallons = 4.8 gallons
if it takes 1 min to get 1.6 gallons
it will take x mins to get 40 gallons
x = 1 * 40/1.6 = 25 mins
f(z) = (2 + 6)
a=
h=
k=
Answers
Step 2: Use the information given in the problem to find the value of k, called the ... 1 – If y varies jointly as x and z, and y = 12 when x = 9 and z = 3, find z when y = 6 ... In this case, you should use v, h, and r instead of x, y, and z and notice how ...
PLEASE HELP!! WILL MARK BRAINLIEST AND THANK YOU!!
Square TUVW with vertices T(-6,1), U(-1,0), V(-2,-5), and W(-7,-4):
(a) Reflection: in the y-axis (b) Translation (x,y) —> (x-5,y+7)
A. (4,7)
B. (-5,7)
C. (1,0)
D. (-4,7)
Answers
Answer:
093006570
Step-by-step explanation:
Rut ectjyvtjyhrjtjtj5j6
A truck traveling East at a velocity of 40.0 m/s comes to a complete stop. How much time it will take for the truck to stop if it decelerates at -5.0 m/s2
Answers
-2[3x–(4x–5y)–2(3x-4y)]
Answers
But if you need the steps let me know!
is 6 rational or irrational??
Answers
Answer:
✧･ﾟ: *✧･ﾟ:* *:･ﾟ✧*:･ﾟ✧
Hello!
✧･ﾟ: *✧･ﾟ:* *:･ﾟ✧*:･ﾟ✧
❖ The number 6 is an integer
~ ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘꜱ! :)
Step-by-step explanation:
Answer:
6 is rational.
Step-by-step explanation:
6 is rational because it is classified as a natural/counting number and a whole number.
Charles Babbage is known as the father of computer why
Answers
Answer:
Charles Babbage, who was born in 1791, is regarded as the father of computing because of his research into machines that could calculate. Babbage's Difference Engine Number 1 was the first device ever devised that could calculate and print mathematical tables.
decimal equivalent 9 1/3
Answers
The decimal equivalent to 9 1/3 is
SBS: step multiply whole number 1:9 x 3=27 step add product 2: 27+1=28 step 3 divide: 28 ÷ 3= 9.333333
Final answer in decimal form: 9.33
Therefore, the answer is C
The equivalent from of [tex]9\frac{1}{3}[/tex] ⇒ 9.
The given mixed fraction is,
[tex]9\frac{1}{3}[/tex]
Now to convert it into decimal form
First of all convert it into simple fraction
So numerator of [tex]9\frac{1}{3}[/tex] is formed by multiplying 3 with 9 then add 1
and denominator remains same as 3
Therefore,
Simple fraction be
[tex]9\frac{1}{3}[/tex] ⇒ (9x3 + 1)/3
= 28/3
Now divide 28 by 3
we get,
9.333333
Here,
It is non terminating number
And 3 is repeating after decimal
therefore,
The decimal form of [tex]9\frac{1}{3}[/tex] ⇒ 9.[tex]\frac{}{3}[/tex]
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A restaurant coffee pot holds 3 gallons of coffee. The pot has been filled with 2 gallons of coffee. If the variable c stands for the amount of additional coffee the pot can hold, which of the following units could apply to that variable?
A. yards
B. pounds
C. gallons
D. bushels
Answers
C
Because your weight system is gallons in the rest of the question :)
Answer:
gallons
Step-by-step explanation:
The denominator of a fraction is 15. The fraction is equivalent to 3/5. What is the fraction
Answers
Answer:
9/15
Step-by-step explanation:
because you would divide 15 by 5 and get 3 and then you would multiply the 3 by 3 and get 9.
Answer:
9/15
Step-by-step explanation:
you write the fraction 3/5 then you divide 5 by 15 you'll get 3 then 3×3 it will be 9 which is the denominator
Classify a triangle with side lengths of 9, 12, 17
A. Right
B. Acute
D. obtuse
Answers
Answer:
B.
Step-by-step explanation
give me brainliest
Side length 9, 12, 17 forms a obtuse angled triangle.
What is Pythagorean triplets?"Pythagorean triplets are combination of such three numbers which satisfy the Pythagoras theorem a² + b² = c²."
Formula used
Pythagoras triplet
c = hypotenuse
'a' and 'b' other two sides of a triangle
a² + b² = c² (Right angled triangle)
a² + b² ≤ c² (Obtuse angled triangle)
a² + b² ≥ c² (Acute angled triangle)
According to the question,
Given
Side length of a triangle = 9, 12, 17
Substitute the value in the formula of Pythagoras triplet we have,
a² = 81
b² =144
c² =289
c² > a² +b²
Therefore, triangle with side length 9, 12, 17 forms a obtuse angled triangle
Hence, Option(D) is the correct answer.
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Angle A and angle B are vertical angles. If m A=(5x-24) and m_B=(3x+24), then find the value of x and the measure of angle A
Answers
Answer:
Step-by-step explanation:
If they are vertical angles, they are equal.
5x - 24 = 3x + 24 Add 24 to both sides
5x -24 +24 = 3x + 24 + 24 Combine
5x = 3x + 48 Subtract 3x
5x - 3x = 3x-3x + 48 Combine
2x = 48 Divide by 2
x = 24
<A =5*24 - 24
<A = 96
Answer: x= 24
Step-by-step explanation: (5x-24)+(3x+24)=180 and when you solve this equation you get 24. Hopes this helps love u ❤️
Find ABC, Please help!
Answers
Answer:
50°
Step-by-step explanation:
Angle A = AngleB (Corresponding angles)
x=2x-50
x=50°
Hope it helps
Answer:
∠ ABC = 50°
Step-by-step explanation:
2x - 50 and x are corresponding angles and congruent, thus
2x - 50 = x ( subtract x from both sides )
x - 50 = 0 ( add 50 to both sides )
x = 50
Thus
∠ ABC = x = 50°
Which of the following is an equivalent expression with 3(7 + 2x)
Answers
Answer:
21+6x
Step-by-step explanation:
I dont know if it is a choice but this works
you just distribute so 3*7+(3*2x)=21+6x
hope this helps
brainliest?
please
3 x 7= 21
3 x 2x= 6x