Answer:
She needs an annual interest rate of 7.54%.
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
She figures that this will cost a total of $25,750.
This means that [tex]A = 25750[/tex].
Sandra already has $21,400 saved up
This means that [tex]P = 21400[/tex].
Semianually compunding, 2.5 years.
This means that [tex]n = 2, t = 2.5[/tex]
What interest rate?
We have to find r. So
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]25750 = 21400(1 + \frac{r}{2})^{2*2.5}[/tex]
[tex](1 + 0.5r)^5 = \frac{25750}{21400}[/tex]
[tex]\sqrt[5]{(1 + 0.5r)^5} = \sqrt[5]{\frac{25750}{21400}}[/tex]
[tex]1 + 0.5r = (\frac{25750}{21400})^{\frac{1}{5}}[/tex]
[tex]1 + 0.5r = 1.0377[/tex]
[tex]0.5r = 0.0377[/tex]
[tex]r = \frac{0.0377}{0.5}[/tex]
[tex]r = 0.0754[/tex]
0.0754*100% = 7.54%
She needs an annual interest rate of 7.54%.
HELP PLEASE :(... I will give brainliest:)
Answer:
your just putting the numbers at the bottom into the line plot . so let's say there is 333 u would up the three 3 on the plot .
Step-by-step explanation:
hope this helps let me know if u need a better explanation
A cooler is in the shape of a right rectangular prism. If the cooler is 3 1/2 feet long, 2 5/6 feet wide, and 1 foot deep, what is the volume of the cooler ?
13. A car travels at a speed of 55 km/h. Find the distance travelled by the car in 12minutes 30 seconds, giving your answer in meters.
Answer:
11.46 meters
Step-by-step explanation:
12min 30sec = 12.5min
55km/h * 12.5min * 1h/60min = 11.4583333333meters
Match each pair of Lines to the correct description
parallel lines
EP and CD
perpendicular lines
GH and EF
neither parallel nor
perpendicular lines
AB and CD
Answer:
Parallel = AB and CD
Perpendicular = EF and CD
Neither: GH and EF
Step-by-step explanation:
Parallel lines will go on forever without touching, they are aligned with each other.
Perpendicular lines intersect with 4 right angles
The Parallel lines are AB and CD and Perpendicular lines are EF and CD.
It is required to find the solution.
What is line?A line is a straight one-dimensional figure having no thickness and extending infinitely in both directions. A line is made of a set of points which is extended in opposite directions infinitely. It is determined by two points in a two-dimensional plane. The two points which lie on the same line are said to be collinear points.
Given:
The given figure shown as four lines are given AB , CD ,EF , CD ,GH and EF.
According to given question we have
Parallel = AB and CD
Perpendicular = EF and CD
Neither parallel nor perpendicular lines: GH and EF
Parallel lines are those lines that are equidistant from each other and never meet, no matter how much they may be extended in either directions
Perpendicular lines are lines that intersect at a 90-degree angle.
Therefore , the Parallel lines are AB and CD and Perpendicular lines are EF and CD.
Learn more details about Lines here:
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8(2x - 7) = 8 how to show work
Step-by-step explanation:
8(2x-7) =8
16x - 56 = 8
16x = 64
x = 4
1). Distribute 8 and multiply.
2). Add 56 to both sides.
3). Divide both sides by 16.
Let me know of you have any questions!
Answer: Divide both sides by 88.
2x-7=1
2x−7=1
2 Add 77 to both sides.
2x=1+7
2x=1+7
3 Simplify 1+71+7 to 88.
2x=8
2x=8
4 Divide both sides by 22.
x=\frac{8}{2}
x=
2
8
5 Simplify \frac{8}{2}
2
8
to 44.
x=4
x=4
Step-by-step explanation:
Donna is participating in a 6-day cross-country biking challenge. She biked for 51, 62, 61, 47, and 63 miles on the first five days. How many miles does she need to bike on the last day so that her average (mean) is 56 miles per day?
Answer:
52 miles
Step-by-step explanation:
total miles needed to average 56
56 * 6 = 336
miles after 5 days
51 + 62 + 61 + 47 + 63 = 284
miles needed on last day
336 - 284 = 52 miles
PLEASE HELP) Given the function ƒ(x) = x and the function g(x) = x – 4, what does the –4 do to the graph of ƒ(x) to get the graph of g(x)?
Answer:
C. Translates the graph 4 units downwards
Step-by-step explanation:
The -4 is the y-intercept which brings the graph down four units
In the function f(x)=[tex]\sqrt{x}[/tex]-4, -4 shows the translation of graph units downwards which is option c.
What is function?Function is relationship between two or more that are variables that are expressed in equal to form. In a function each value of x must have a corresponding value of y which is known as codomain of function.
How to find function?In the function f(x)=[tex]\sqrt{x}[/tex]-4, -4 decreases the value of function by 4 units and because the y axis is vertical line. So the value which is -4 pulls the function downwards by 4 units and this process is known as translation.
Hence in the function f(x)=[tex]\sqrt{x}[/tex]-4, -4 shows the translation of graph units downwards which is option c.
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Which ratio is equivalent to? 4:5
Answer:16:20
Step-by-step explanation:
PLEASE HELP I CAN'T FAIL THIS!!!
What is the volume of the composite figure if both the height and the diameter of the cylinder are 3.5 feet? Give the exact answer and approximate to two decimal places.
Answer:
3,4 by feet by feet and abroad ahed
plz help????????????
Answer:
b.
Step-by-step explanation:
Parallel lines have the same slope.
PLEASE HELP 7TH GRADE MATH
BRAINLIEST-SHOWS WORK
PLEASE HELP
ANSWE 1 OR MORE AN WILL MARK BRAINLIEST 1 OR MORE
Answer:
Slope=-3/4
Step-by-step explanation:
The slope is the rise/run or y/x
Points given for A are (-4, 3), for B (4, -3)
The formula for slope is m=y^2-y^1/x^2-x^1
https://calcworkshop.com/graphing-linear-equations/slope-formula/
So we'll plug in the information given into the formula.
-4-4/3--3
-8/3+3
-8/6
so our slope is m=-3/4
Question
Translate and solve: Twelve less than x is equal to 51. Enter the equation
Answer:
x = 63
Step-by-step explanation:
From the question, we can deduce the following points;
- 12 less than x which simply means 12 subtracted from x.
- the value of the above expression is equal to 51.
Translating the word problem into an algebraic expression, we have;
x - 12 = 51
Rearranging the equation (collecting like terms), we have;
x = 51 + 12
x = 63
find the real number X and y such that 3x + 2iy ix+ 5y = 7+5i
Answer:
y=8 and x =-11
Step-by-step explanation:
kinda confused by the setting of the question
but i used this form ; 3x + 2iy+ xi + 5y = 7 + 5i instead of 3x+2iy xi+5y =7+5i
Then ;
you compare
3x + 5y =7....... equation 1
2iy + xi = 5i. ( cancel out i)
u get ; 2y + x =5 .......equation2
solve simultaneously by substitution method
giving u y=8
put value of y into equation 2 and get x=-11
hope that helps
Find the equation of the line parallel to y=-11-5, that passes through the point
(4, -3). Write your answer in slope-intercept form. Do not use spaces in your
answer. Enter any fractions like a/b or-a/b.
Answer:
y=41−11x
Step-by-step explanation:
The equation of the line in the slope-intercept form is y=5−11x.
The slope of the parallel line is the same: m=−11.
So, the equation of the parallel line is y=−11x+a.
To find a, we use the fact that the line should pass through the given point: −3=(−11)⋅(4)+a.
Thus, a=41.
Therefore, the equation of the line is y=41−11x.
Answer: y=41−11x.
Answer:
y=41−11x
Step-by-step explanation:
The equation of the line in the slope-intercept form is y=5−11x.
The slope of the parallel line is the same: m=−11.
So, the equation of the parallel line is y=−11x+a.
To find a, we use the fact that the line should pass through the given point: −3=(−11)⋅(4)+a.
Thus, a=41.
Therefore, the equation of the line is y=41−11x.
Select all values equivalent to -10/7
A. -10/-7
B. -3 1/7
C. -10
- _
-7
D. 1 3/7
E. -1 3/7
Answer:
A)-10/-7 I hope the answer is correct . I will be happy when I get 5 points
What is another way to write 5/5? *
Answer:
Hello! answer: 1
Step-by-step explanation:
5/5 is 1 whole so you could write it as 1 because 5/5 is worth 100%
When traveling from air to a solid, what would you expect a sound wave to do?
fluctuate speed
stay the same speed
speed up
slow down
Answer:
the answer is a
Step-by-step explanation:
What is the volume of the cube shown below? V = s×s×s
WILL GIVE BRAINLIEST + MAX POINTS!!!
Sara is working on a Geometry problem in her Algebra class. The problem requires Sara to use the two quadrilaterals below to answer a list of questions. Part A: For what one value of are the perimeters of the quadrilaterals the same? (Hint: The perimeter of a quadrilateral is the sum of its sides.) Part B: For what one value of are the areas of the quadrilaterals the same? (Hint: The area of a quadrilateral is the product of its base and height.) Please help me outtt!
HELLO
I NEEDED HELP WITH THE SAME QUESTION SO I PUT IT UP WITH A PIC SO U CAN ALSO GET AN ANSWER FROM THERE
HERE YA GO <3
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Answer:
heyy i did this problem a while ago and got kinda stuck on it
Select the correct answer.
Mariah is shopping for pencils and erasers to give to her piano students. She can purchase at most 50 total items. She wants the
number of pencils purchased to be greater than the square of the number of erasers.
Create a system of inequalities to model this situation, and use it to determine how many of the solutions are viable. Which statement
is true about the solution of this system?
No part of the solution region is viable because the number of pencils and erasers purchased cannot be negative.
Part of the solution region includes a negative number of pencils purchased; therefore, not all solutions are viable for the
given situation
The entire solution region is viable.
Part of the solution region includes a negative number of erasers purchased; therefore, not all solutions are viable for
the given situation.
Answer:
D. Part of the solution region includes a negative number of erasers purchased; therefore, not all solutions are viable for the given situation.
Step-by-step explanation:
I got it right on the practice
Answer:
Part of the solution region includes a negative number of erasers purchased; therefore, not all solutions are viable for
the given situation.
x + a = c , solve for x
Answer:
Step-by-step explanation:
x+a=c
x=c-a
Pablo created the bar model and equation after paying a $9.79 lunch bill with a $20 bill.
A bar diagram. The top bar contains 20.00. The bottom bars contain c and 9.79.
20.00 = c + 9.79
What is the value of c, and what does it represent in this problem?
Answer:
10.21 and it represents positive credit
Step-by-step explanation: hope this helps <3
If the perimeter of each of the seven regular hexagons in the figure shown is 24, what is the perimeter of the figure?
Answer:
the answer is 144(that is 6×24)
A family will travel 225 miles
from their house in order to reach
Austin, Texas. Which inequality
can be used to find all possible
values of t, the time it will take
this family to reach Austin in
hours, if they travel at an average
speed of at least r miles per hour?
Answer:
t ≤ 225r
Step-by-step explanation:
Distance = 225 miles
Time taken = t
Average speed = r miles per hour
Recall :
Speed = distance / time
Time, = distance / speed
t = 225 miles / r
All possible values of t :
t ≤ 225r
Given that the function graphed is f(x), what is f (4)?
A) -2
B) -4
C) -6
D) -8
PLEASE ANSWER QUICKLY THANK YOUUUU
Answer:
D) - 8
Step-by-step explanation:
If the function graphed is the right function and the question is asking for f(4), this means the question is just asking for the y value when x is equal to 4. Looking at the graph, we can see this is -8.
question 13 helllppp pllllz alomost done
Help??? Please? I need to pass.
Answer:
(x-8.5)2=81.25
Constant of Variation
Given that f(x) = 2/x² and g =(x) = 13/x²
What is the domain of the functions f and g?
a. only positive integers
b. All non zero real numbers
c. only negative integers
d. All real numbers including zero
Please select the best answer from the choices provided
Answer:
B. All non zero real numbers
Step-by-step explanation:
I calculated it logically
Factor out the greatest common factor from the terms of the polynomial 2x3 − 5x2 + 25
Answer:
2x³ -5(x²-5)
Step-by-step explanation:
2x3 − 5x2 + 25
=2x³ -5x²+25
=2x³ -5(x²-5)
Solve the system of equations.
2y+7x=−5
5y−7x=12
We can solve this by substitution method.
Look at the second equation. If we rearrange to find 7x, we can substitute in the value into the first equation.
[tex]5y-7x=12[/tex]
[tex]5y-7x-12=0[/tex]
[tex]5y-12=7x[/tex]
Therefore, [tex]7x=5y-12[/tex]
Now replace the 7x in the first equation with 5y - 12:
[tex]2y+7x=-5[/tex] (substitute in 7x = 5y - 12)
[tex]2y+(5y-12)=-5[/tex]
[tex]7y-12=-5[/tex]
[tex]7y=7[/tex]
[tex]y=1[/tex]
Now that we know y, we can find x by substituting in y = 1 into any equation we want. I will use the equation: 7x = 5y - 12
[tex]7x=5y-12[/tex] (substitute in y = 1)
[tex]7x=5(1) -12[/tex]
[tex]5x=5-12[/tex]
[tex]7x=-7[/tex]
[tex]x=-1[/tex]
__________________________________________________________
Answer:
[tex]y=1\\x=-1[/tex]