To avoid a service fee, your checking account balance must be at least $500 at the end of each month. Your current balance is $525.17. You use your debit card to spend $117.08. What possible amounts can you deposit into your account by the end of the month to avoid paying the service fee?
Answer: At least $91.91
Step-by-step explanation:
From the question, we are informed that to avoid a service fee, the checking account balance must be at least $500 at the end of each month.
Since the current balance is $525.17 and $117.08 has been spent, the balance will now be:
= $525.17 - $117.08
= $408.09
Since the checking account balance must be at least $500 at the end of each month and we currently have $408.09, this means that there will still be a need to add $91.91.
= $500 - $408.09
= $91.91
At least $91.91 must be added to avoid the fee.
What is the value of the discrimination for the quadratic equation 0= x+2+x2?
Discriminant =b2 - 4ac
Answer:
The value of discriminant is -7.
Explanation:
The given equation is,
x^2+x+2=0x
2
+x+2=0
The standard form of the quadratic equation is,
ax^2+bx+c=0ax
2
+bx+c=0
By comparing the given equation with the standard equation we get,
a = 1, b = 1 and c = 2.
The Formula for discriminant is,
D=b^2-4acD=b
2
−4ac
Substitute a = 1, b = 1 and c = 2,
D=1^2-4(1)(2)D=1
2
−4(1)(2)
D=1-8D=1−8
D=-7D=−7
Therefore, the -7 is the value of the discriminant.
Step-by-step explanation:
# Jerry Don is here#
Answer:
-7
Step-by-step explanation:
took the test
Solve for x and find the m∠TUV Show your equation and work.
Check the picture below.
show that
[tex]3 \frac{3}{4} \div 1 \frac{1}{3 } = 5 \frac{1}{12} [/tex]
write down all the steps in your working
Look at the attached photo
Answer:
D, [tex]\frac{1}{2}x-3[/tex]
Step-by-step explanation:
Remember order of operations: parentheses first, then exponents, then multiplication/division, and finally addition/subtraction.
In this case, since there is no way to further simplify the parentheses, we can leave them be. But the negative sign in front of the parentheses is like multiplying it by -1. It needs to be distributed into the parentheses like so:
[tex]-(\frac{1}{4}x+5)=-\frac{1}{4}x-5[/tex]
We can now substitute that into the expression:
[tex]\frac{3}{4}x+2-\frac{1}{4}x-5[/tex]
From here, we can combine like terms:
[tex]\frac{2}{4}x-3[/tex]
And finally, we can simplify 2/4 to get:
[tex]\frac{1}{2}x-3[/tex]
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP
Answer:
(-3, 3)
explanation:
original coordinate of C: (3, 5)if reflected over y axis, use the formula: (x,y) → (-x, y)
new coordinate: (-3, 5)If translated vertically, there will be change in y axis
then vertically -2 units:(-3, 5-2) → (-3, 3)
Answer:
-3,3
Step-by-step explanation:
I really dont know how to explain
Solve for x.
Use the quadratic formula.
2x2−9x+8=0
Enter the solutions, in simplified radical form, in the boxes.
x =
or x =
[tex]\\ \rm\rightarrowtail 2x^2-9x+8=0[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{9\pm\sqrt{81-64}}{4}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{9\pm\sqrt{27}}{4}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{9\pm3\sqrt{3}}{4}[/tex]
if a:b=3:4 find the value of 15a+9b:16a+5b
Answer :
81 : 68⠀
Step-by-step explanation:
⠀
[tex] {\longrightarrow \: \sf \: Let \: \: a : b\: = 3: 4 = \dfrac{a}{b} \: = \: \dfrac{3}{4} = k}[/tex]
⠀
Therefore,
⠀
[tex] \dashrightarrow \qquad \sf \: a = 3k[/tex]
[tex] \dashrightarrow \qquad \sf \: b = 4k[/tex]
⠀
Now, Substituting the values :
⠀
[tex]\longrightarrow \qquad \sf \: 15a+9b:16a+5b[/tex]
⠀
[tex]\longrightarrow \qquad \sf \: \dfrac{15(3k)+9(4k)}{16(3k)+5(4k)}[/tex]
⠀
[tex]\longrightarrow \qquad \sf \: \dfrac{45k+36k}{48k+20k}[/tex]
⠀
[tex]\longrightarrow \qquad \sf \: \dfrac{81k}{68k}[/tex]
⠀
[tex]\longrightarrow \qquad \sf \: \dfrac{81 \cancel{k}}{68 \cancel{k}}[/tex]
⠀
[tex]\longrightarrow \qquad \sf \: \dfrac{81}{68}[/tex]
⠀
[tex]\longrightarrow \qquad \bf \: {81} : {68}[/tex]
⠀
Therefore ,
⠀
[tex]{ \pmb{ \sf{\longrightarrow \qquad \: 15a+9b:16a+5b = 81 : 68}}}[/tex]
⠀
Enter the first 4 terms of the sequence defined by the given rule. Assume that the domain of each function is the set of whole numbers greater than 0.
f(1) = 390,625, f (n) = f (n − 1)
The first 4 terms of the sequence are ____, ____, ____, and ____.
Answer:
The first four terms is: 390625, 625, 25, 5
Step-by-step explanation:
Given
[tex]f(n) = \sqrt{f(n-1)}[/tex]
To determine the first 4 terms.
We have
[tex]f(1) = 390625[/tex]
[tex]f(2) = \sqrt{f(2 - 1)}[/tex]
[tex]f(2) = \sqrt{f(1)}[/tex]
Substitute 390625 for f(1)
[tex]f(2) = \sqrt{390625}[/tex]
[tex]f(2) = 625[/tex]
For f(3), we have
[tex]f(3) = \sqrt{f(3-1)}[/tex]
[tex]f(3) = \sqrt{f(2)[/tex]
[tex]f(3) = \sqrt{625[/tex]
[tex]f(3) = 25[/tex]
For f(4), we have
[tex]f(4) = \sqrt{f(4-1)[/tex]
[tex]f(4) = \sqrt{f(3)[/tex]
[tex]f(4) = \sqrt{25[/tex]
[tex]f(4) = 5[/tex]
Hence, the first four terms is:
390625, 625, 25, 5
What is the volume of the sphere?
Use \mathrm{\pi } = 3 . 14π=3.14 and round your answer to the nearest hundredth.
Answer:
cubic inches
The volume of the sphere that has a radius of 3 inches is: 113.1 in.³
What is the Volume of a Sphere?Volume of a sphere is found using the formula, V = 4/3 πr³, where r is the radius of the sphere.
Given the following:
π = 3.14r = 3 inchesPlug in the values into V = 4/3 πr³:
Volume of the sphere = 4/3 (3.14)(3)³
Volume of the sphere = 113.1 in.³
Learn more about the volume of a sphere on:
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3x+7+56=90 what is this
Answer:
X=9
Hope this helps! :)
What is the answer to this question I can’t work it out Ni=n02(yi-yo)/t2
Changing the subject of an equation involves solving for another variable in the equation
The equation of t is [tex]t=\frac{\sqrt{y_i-y_o}}{N}[/tex]
How to change the subject of the equationThe equation is given as:
[tex]N=\sqrt[2]{\frac{y_i-y_o}{t^2}}[/tex]
Rewrite the equation as:
[tex]N=\sqrt{\frac{y_i-y_o}{t^2}}[/tex]
Evaluate the square root of t^2
[tex]N=\frac{\sqrt{y_i-y_o}}{t}[/tex]
Multiply both sides by t
[tex]Nt=\sqrt{y_i-y_o}[/tex]
Make t the subject, in the above equation
[tex]t=\frac{\sqrt{y_i-y_o}}{N}[/tex]
Hence, the equation of t is [tex]t=\frac{\sqrt{y_i-y_o}}{N}[/tex]
Read more about subject of formula at:
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on saturday mark have 20 apples and his mom took 2
Asia contains both the highest and lowest known points on earth. Mt. Everest is a little over 29,000 feet above sea level, and the shore of the Dead Sea is about 1,370 feet below sea level. What is the approximate difference in elevation between the two points?
Answer:
30,370 feet
Step-by-step explanation:
Given that,
Mt. Everest is a little over 29,000 feet above sea level, and the shore of the Dead Sea is about 1,370 feet below sea level.
We need to find the approximate difference in elevation between the two points.
29,000 feet is above sea level and 1,370 feet is below sea level i.e. both elevations are in opposite direction.
Difference = 29,000 - (-1,370 )
= 30,370 feet
Hence, the difference in elevation between the two points is 30,370 feet.
Answer:30,370 feet
Step-by-step explanation:
Mary is saving money to buy a game.So far she has saved $36,which is three-fourths of the total cost of the game.How much does the game cost?
Answer:
48 i think
Step-by-step explanation:
Answer:
$48
Step-by-step explanation:
Help?? I'm so confused
Answer:
0.10
Step-by-step explanation:
If one meter is 100 centimeters and you're trying to find how much of a meter is in 10 centimeters all you need to do is divide the meter by 10, just like they did to get the amount of centimeters.
please help me with this ixl
The slope is 2
Step-by-step explanation:
Gradient = rise/run
= 2/1
Hope this helps!
Answer:
m = 2
Step-by-step explanation:
(40, 10) and (50, 30)
20/10= 2
PLS HELP !!
What is cos 30°?
Answer:
E
Step-by-step explanation:
[tex]cos30 = \frac{ \sqrt{3} }{2} [/tex]
Find the Derivative y’ implicitly.
[tex]e^{x^2y} - e^y = e^y(e^{x^2} - 1) = x[/tex]
We should ISOLATE x
[tex]e^y= \frac{x}{e^{x^2} - 1}[/tex]
Find the Natural Log of Both Sides to Make the Left Side "y"
[tex]y = ln(\frac{x}{e^{x^2}-1})[/tex]
Now, FIND THE DERIVATIVE Using Chain Rule!!!
[tex]y' = \frac{1}{\frac{x}{e^{x^2}-1}} * \frac{(1(e^{x^2}-1) - x(2x*e^{x^2})}{(e^{x^2}-1)^2}= {\frac{e^{x^2}-1}{x}}* \frac{(1(e^{x^2}-1) - x(2x*e^{x^2})}{(e^{x^2}-1)^2} = {\frac{1}{x}}* \frac{(1(e^{x^2}-1) - x(2x*e^{x^2})}{(e^{x^2}-1)} = {\frac{1}{x}}* \frac{(e^{x^2}-1 - 2x^2e^{x^2})}{(e^{x^2}-1)}[/tex]
A man deposits $45 000 in a savings account.
Compound interest is paid at 3.5% calculated
at the end of each year.
How much will be in the bank account at
the end of 2 years?
Answer:
3150
Step-by-step explanation:
principal =45000
compound interest =3.5%
Time =2years
then,
3.5/100*45000=1575
2years
1575*2=3150
deals with three-dimensional objects, such as cubes and spheres.
Step-by-step explanation:
Length, width and height are three dimensional objects.
I hope this will help you.
Write the sum of O.31 (repeating 31 )and 0.125 (repeating 125)
Answer: 0.435 repeating
Step-by-step explanation:
When the speed of the bottle is 2 m/s, the KE is kg m2/s2. When the speed of the bottle is 3 m/s, the KE is kg m2/s2. When the speed of the bottle is 4 m/s, the KE is kg m2/s2. When the speed of the bottle is 5 m/s, the KE is kg m2/s2. When the speed of the bottle is 6 m/s, the KE is kg m2/s2.
The answers to the Speed question are:
0.5 1.1252 3.125 4.5What is a speed?Speed is known to be the distance that is said to be traveled and it is per unit of time. It is seen as the rate of which an object is said to be moving.
Note that Speed is calculated in this case as 1/2mv².
Therefore, to calculate the variables are:
If the speed of the bottle is 2 m/s, then
= ½ (0.250) (2) ^2
= 0.5
If the speed of the bottle is 3 m/s, then
= ½ (0.250) (3) ^2
=1.125
If the speed of the bottle is 4 m/s, then
= ½ (0.250) (4) ^2.
= 2
If the the speed of the bottle is 5 m/s, then
= ½ (0.250) (5) ^2
= 3.125
= ½ (0.250)(6)^2
=4.5
Therefore, the answer given above are correct.
Learn more about speed from
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#SP9
Answer:
0.5, 1, 2, 3, & 5
Step-by-step explanation:
did it on edgeinuity
what is the answer? I'll give brainiest to whoever is right
Answer:
5) 0 6 ) 1/4
Step-by-step explanation:
So the slope ( gradient ) of line E is 0 because it is straight and it as no slope
The slope of line F is 1/4 because:
Gradient = y^2 - y^1 / x^2 - x^1
Gradient = 2-0 / 6- -2
Gradient= 2 / 8
2/8 in lowest term is 1/4
YOU MIGHT AVE A DIFFERENT METHOD BUT ANSWERS MUST BE THE SAME.
HOPE IT HELPED
Ashley has ridden 32 miles of a bike course. The course is 80 miles long. What percentage of the course has Ashley ridden so far?
Answer:
40%
Step-by-step explanation:
divide 80 by 100 80/100= 0.8 then divide 32 by 0.8 to get 40%
This table shows data collected by a runner.
A three column table with 7 rows. The first column, Time in minutes, has the entries, 1, 2, 3, 4, 5, 6. The second column, Distance in miles, has the entries, 0.19, 0.38, 0.57, 0.76, 0.95, 1.14. The third column, Elevation in meters, has the entries, 12, 28, 67, 98, 124, 145.
Answer:
the answer is B
Step-by-step explanation:
The elevation is a nonlinear function because it does not have a constant rate of change.
Answer:
B
Step-by-step explanation:
All of the points in the picture are on the same line.
1. Find the slope of the line. Explain or show your reasoning.
because
2. Write an equation for the line.
3. What is the value ofe
CE
4. Is the point (0.-2) on this line? Explain how you know.
because
Bella only u answer
Answer:
The slope equals the rise divided by the run
Step-by-step explanation:
PLEASEEE HELP!!! Let f and g be differentiable functions such that f' (1) = 2 and g’ (1) = 6. If h (x) = 5 f(x) - 4g (x) + 3x^2 - 2, what is the value of h’ (1) ?
The value of h'(1) is -8
Given the following expression;
[tex]h (x) = 5 f(x) - 4g (x) + 3x^2 - 2[/tex]
Differentiating the function above:
[tex]h' (x) = 5 f'(x) - 4g' (x) + 6x[/tex]
Given the following parameters
[tex]f' (1) = 2\\g' (1) = 6[/tex]
Get h'(1)
[tex]h' (1) = 5 f'(1) - 4g' (1) + 6(1)\\h' (1)=5 (2) - 4(6) + 6(1)\\h' (1)= 10-24+6\\h' (1)=-8[/tex]
Hence the value of h'(1) is -8
Learn more here: https://brainly.com/question/1557484
pls help asap if you can
Find the coordinates of the midpoint of segment Hl with endpoints: H(-5, 5) and 1(7,3).
Answer:
Midpoint is (1,4)