Follow below steps;
Monique Fournier wants to find out how much her $12,500 savings account, with an annual interest rate of 6.5% compounded monthly, will grow to after 3 years. To calculate the future value of this investment, we can use the compound interest formula:
FV = P times (1 + r/n)^(nt)
Where:
FV is the future value of the investmentP is the principal amount ($12,500)r is the annual interest rate (6.5% or 0.065 as a decimal)n is the number of times interest is compounded per year (12, since it's compounded monthly)t is the number of years the money is invested (3 years)Plugging the numbers into the formula gives us:
FV = $12,500 times (1 + 0.065/12)^(12 imes 3)
After calculating, Monique's account balance after 3 years will be:
FV = $12,500 times (1 + 0.0054167)^(36)
FV = $12,500 times 1.0054167^36
FV ≈ $12,500 times 1.214669
FV ≈ $15,183.36
After 3 years, Monique Fournier will have approximately $15,183.36 in her savings account
Solve the equation a+b-c=180 for c
Answer:
Step-by-step explanation:
we are given the equation a+b-c=180
Now to solve it for c we need to isolate the c
first step can be addition of c to both side
a+b-c+c=180+c
a+b=180+c
now in second step we subtract 180 from both sides to get
a+b-180=180+c-180
a+b-180 = c
c= a+b-180
If a couple has two children, what is the probability that both are boys? assume that it is equally likely that a child is a boy or girl.
seven less than the quotient of a number, x, and twelve is five times the number. which answer represents this situation? x/12−7 5x 7−x/12=5x 7−x/12 5x x/12−7=5x
Each interior angle of a regular polygon measures 120°. what is the name of the polygon?
the price of a pack of gum today is 63 cents. this is 3 cents more than three times the price ten years ago. what was the price ten years ago?
The stage manager of a school play creates a rectangular acting area of 42 square yards. String lights will outline the acting area. To the nearest whole number, how many yards of string lights does the manager need to enclose this area?
Find the quotient of 5/31 divided by 15/23. Reduce your answer to the lowest fraction.
Lori purchases a new set of watercolor paints and some canvases to create art for her next exhibit. The watercolor paint set costs $15 and the canvases are $24.50 each. If Lori buys 6 canvases, what is the total amount of money she spends for her next exhibit?
A $211.00
B $162.00
C $237.00
D $147.00
The answer is B.) $162.00
Solve for x, given the equation Square root of x minus 5 + 7 = 11
The value of x will be equal to 21.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
The given expression will be solved as below:-
√(x-5) + 7 = 11
√(x-5) = 11 -7
√(x-5) = 4
x - 5 = 4^2
x - 5 = 16
x = 16 + 5
x = 21
Therefore, the value of x will be equal to 21.
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Question #12 assessment progress 30 percent suppose that the functions r and s are defined for all real numbers x as follows. =rx4x2 =sx2x
Mr. Weber drives to a landscape supply center to buy sand and gravel. He needs at least 2 lb of sand. The amount of gravel he will buy will be at least twice the amount of sand he will buy. The center has 6 lb of sand and 13 lb of gravel in stock.
The graph shows the feasible region, where x represents the number of pounds of sand and y represents the number of pounds of gravel.
Which ordered pairs meet all the constraints and make sense in the context of the situation?
Select each correct answer.
(2 1/2, 10)
(3, 12)
(4,6)
(5, 8 1/2)
Answer:
This is correct! answer is (2 1/2, 10) and (3/12)
Step-by-step explanation:
Dahlia is simplifying (3t)^4 using these steps:
(3t)^4= 3t*3t*3t*3t=3*3*3*3*t*t*t*t
Although Dahlia is correct so far, which step could she have used instead to simplify the expression ?
A. 3t^4=3t^4
B.3^4t=81t
C. 4(3t)=12t
D.3^4t^4=81t^4
Dahlia could have raised both the coefficient and variable to the power of 4
Simplifying exponential functionsGiven the exponential expression as shown below;
(3t)^4
This shows that we are to multiply 3t in 4 places to have;
(3t)^4 = (3t) * 3t * 3t * 3t
(3t)^4 = 3^4 * t^4
(3t)^4 = 81t^4
This shows that Dahlia could have raised both the coefficient and variable to the power of 4
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Bella's score on a spelling test is a function of the number of hours she studies. Which expression represents Bella's score on a spelling test if she studies for 3 hours?
A. 3(score)
B. Score(3)
C. Score + 3
D. 3 - score
Answer:
B. Score(3)
Step-by-step explanation:
Given,
Bella's score on a spelling test is a function of the number of hours she studies.
Let x represents the number of hours and S represents her score after x hours,
Thus, her scoring after x hours = S( x )
If she studies for 3 hours,
That is, x = 3,
Then her score would be S(3) or we can say that score(3).
Hence, option 'B' is correct.
Use substitution. 2x + 3y = 5 4x - y = 17 Use linear combinations: 2x + 3y = 5 4x - y = 17
what is 4 less than three sevenths of y written as an algebraic expression
The algebraic expression for 'four less than three sevenths of y' is (3/7)y - 4. This involves finding three sevenths of y and then subtracting four.
Explanation:The phrase 'four less than three sevenths of y' is asking us to first find three sevenths of y, and then subtract four from that number. In algebra, this is represented as (3/7)y - 4. The expression (3/7)y means 'three sevenths of y', and the '- 4' indicates we are finding 'four less than' this quantity.
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Which operator is best to determine whether x contains a value in the range of 10 through 57?
Two more than 4 times a number is -18
Harvey collects rare marbles. He has 112 marbles in his collection. If he uses Seven Trees to hold all of the marbles, how many marbles will he display on three trays? Is tray hold an equal number of marbles answers at brainly.com
Final answer:
Harvey has 112 marbles distributed equally across seven trays. Each tray holds 16 marbles, therefore, on three trays, Harvey will display a total of 48 marbles.
Explanation:
Harvey has 112 marbles in his collection and uses seven trays to hold all of the marbles. To find out how many marbles Harvey will display on three trays, we need to divide the total number of marbles by the total number of trays to find out how many marbles each tray holds.
First, divide 112 marbles by 7 trays to find out how many marbles go on each tray. The calculation is as follows:
112 marbles ÷ 7 trays = 16 marbles per tray
Now that we know each tray holds 16 marbles, to find out how many marbles are displayed on three trays, we multiple the number of marbles per tray by the number of trays:
16 marbles per tray × 3 trays = 48 marbles
Therefore, Harvey will display 48 marbles on three trays.
What is the equation of the following graph? Write it in both slope-intercept form and standard form.
The equation of the graph is y = 3x + 9 in slope-intercept form and 3x - y = -9 in standard form.
Explanation:The equation of the graph can be written in slope-intercept form (y = mx + b) and standard form (ax + by = c).
Slope-intercept form: y = mx + bGiven slope (m) = 3 and y-intercept (b) = 9Substituting the values, the equation becomes: y = 3x + 9Standard form: ax + by = cRearranging the equation from slope-intercept form, we get: 3x - y = -9Learn more about Equation of a straight line here:https://brainly.com/question/31693341
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Solve each inequality
3t-2<5
-6<5b-4
how would you solve 3x-4=9x-21
Convert 4 radians to degrees.
How do I solve this?? I'm lost
What constant would be added to the expression x2−7xx2−7x in order to make it a perfect square?
Is the correct answer E)1 ?
four more than the product of one and a number x
Sunny earns $12 per hour delivering cupcakes. She worked for x hours this week. Unfortunately, she was charged $15 for a late delivery on Tuesday. How much money did sunny earn this week?
Answer: [tex]12x-15[/tex]
Step-by-step explanation:
Given: Sunny earns $12 per hour delivering cupcakes. She worked for x hours this week.
The total earning for this week = [tex]12x[/tex]
Also, she was charged $15 for a late delivery on Tuesday.
It means, The total earning for this week =[tex]12x-15[/tex]
So if Sunny earns $12 per hour delivering cupcakes. She worked for x hours this week and was charged $15 for a late delivery on Tuesday then her earning for this week = 12x-15
If every pair of consecutive angles of a quadrilateral are supplementary, then the quadrilateral must be parallelogram? True or False?
It's true If every pair of consecutive angles of a quadrilateral are supplementary, then the quadrilateral must be a parallelogram.
What are the four types of parallelograms?
Rectangles, rhombus, and squares are parallelograms. A trapezoid has as a minimum one pair of parallel facets. The parallel aspects are referred to as the bases and the non-parallel sides are called the legs. There are three kinds of trapezoid - isosceles, right-angled, and scalene trapezoids.
How do you discover a parallelogram?
To identify a parallelogram, the shape has to fulfill one of the following standards:
It has two pairs of parallel contrary aspects.It has pairs of the same opposite angles.It has two pairs of equal and parallel contrary facets.Its diagonals bisect each other.Learn more about parallelogram here: https://brainly.com/question/970600
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A recipe calls for of a cup of milk for 11 cookies. How many cups of milk are needed to make 99 cookies?
Suppose you start with at least $82 in your savings account and deposit $32 each week. Write, solve, and graph an inequality to describe how much money, m, you have after 10 weeks, w.
Answer:
m ≥ 82 + 32w
m ≥ 402
Step-by-step explanation:
Here, w represents the number of weeks and m represents the total amount in the account after w weeks,
The amount of money saved in each week = $ 32,
So, the total amount saved after weeks = 32w dollars,
Since, the original amount in the account = $ 82
The total amount in the account = 82 + 32w
Thus, the required inequality would be,
m ≥ 82 + 32w
If w = 10,
The amount in the account after 10 weeks = 82 + 32(10) = 82 + 320 = $ 402
⇒ m ≥ 402
That is, the closed circle on 402 and shaded right in the number line ( shown below )