Answer:
After 2 and a half years, Derek's bank account will have earned interest of $ 93.27.
Step-by-step explanation:
Given that Derek has a bank account that pays 4.1% simple interest, and he deposits $ 910 and leaves it in for 2.5 years, to determine how much interest does he earn, the following calculation must be performed, knowing that simple interest is not added to the initial capital:
(910 x 0.041) x 2.5 = X
37.31 x 2.5 = X
93.275 = X
Thus, after 2 and a half years, Derek's bank account will have earned interest of $ 93.27.
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!
Answer: The answer is ONE Solution
Step-by-step explanation:
A system of equations have no solution when their slopes are the same but they have different y-intercepts. When graphed, the lines cannot intersect for there to be a solution. Looking at both equations, they have different slopes and different y intercepts so you can rule "NO solution" out.
Secondly a system of equations have infinitely many solution if they both share the same slopes and y-intercepts.
Looking at both lines, they have different slopes and different y-intercepts, so you can also rule that out.
A system of equations have one solution if their slopes are different and y intercepts are also different. Looking at the two lines, we can notice that the slope and y-intercepts are all different.
Select the correct answer.
Consider this absolute value function.
f(x) = [ x + 3 ]
If function f is written as a piecewise function, which piece will it include?
A. x + 3, x > 3
B. x + 3, x > -3
C. -x + 3, x < -3
D. -x - 3, x < 3
Answer:
B) x + 3, x > -3
Step-by-step explanation:
I just took a test with this question on it and got it right.
Hope this helps! :)
If function f is written as a piecewise function, it will include x + 3, x > -3
The absolute value function is given as:
f(x) = | x + 3 |
Given that the function is an absolute value function, this means that:
|x + 3| > 0
Remove the absolute sign
x + 3 > 0
Subtract 3 from both sides
x > -3
Hence, if function f is written as a piecewise function, it will include x + 3, x > -3
Read more about absolute value functions at:
https://brainly.com/question/10538556
Use slope-intercept form to write an equation of a line passing through the given point and having the given slope. Express the answer in standard form.
P(−4, −6); m = −3/4
9514 1404 393
Answer:
3x +4y = -36
Step-by-step explanation:
The slope-intercept form is ...
y = mx + b
where m is the slope and b is the y-intercept. From this equation, we can find the y-intercept as ...
b = y -mx
For the given point and slope, this is ...
b = -6 -(-3/4)(-4) = -9
Then the slope-intercept equation is ...
y = -3/4x -9
We can multiply by 4 to get something we can put in standard form.
4y = -3x -36
3x +4y = -36 . . . . standard form equation
a system of equations is show below
5x + 3y=-6
2x+y=-4
which statement about the ordered pair (-6,8) is true?
yes it is true I have send u photo plz have a look
Milo and Audrey sold tickets to the school concert. Milo sold 14 fewer tickets than Audrey. If Milo sold 32 tickets, how many tickets did Audrey sell?
Answer:
18
Step-by-step explanation:
32-14=18
Solve each equation by factoring ⁉️NEED THIS ASAP ⁉️
Answer:
Step-by-step explanation:
Which techniques can be used to evaluate the expression 12.75 = 1.5? Select all that apply.
can someone help me? I have to turn it on by tomorrow :(
Answer:
The terms in #4 are 2500, 11t, and -3w
The terms in #5 are 17 and 4d
3. Given f(x)=-2(5)
Find f (4)
Answer:
f
(
x
)
=
2
, means, whatever be the value of
x
, f(x)=2#.
∴
f
(
−
4
)
=
2
.
Can the table below represent values of a function? explain why.
Try it yourself, I'll explain the concept
In a function, each x-value matches to exactly one y-value
If it matches to more than one y-value, it is not considered a function
Now look at the x and y values in each table to determine if it is a function or not
:)
round the number 24.9652 to 1 decimal place
Answer: 25.0
Step-by-step explanation:
25
Answer:
25
Step-by-step explanation:
0.06 rounds up into the .9 which is now a 1
PLEASE HELP I WILL GIVE BRAINLIEST
Given a long algebraic expression, what are some strategies that you can use to make simplifying and evaluating the expression more efficient and accurate?
How do inverse operations help solve algebraic equations? Give a real-world scenario where this might be modeled.
Answer:
See below.
Step-by-step explanation:
To simplify a long algebraic expression, you could use many methods. My personal choice is to use distribution in order to follow PEMDAS and eliminate any parenthesis within my equation. I also like to combine like terms to shorten the equation as much as possible.
Inverse operations are extremely helpful in isolating variables and simplifying equations. They can be used in many scenarios from finding the length of an object with only a formula and one side (ex. a triangle with only b and A given) to having distance and speed to figure out the time it will take to get to your destination.
Josie does 9 minutes
of stretches before she runs. She runs for
20 minutes. Then she does 7 minutes of cool
down exercises. The clock shows the end time 3:45 of
her workout. At what time does Josie start her
workout? Describe how you found the time.
Answer: Josie starts working out at 3:09
Step-by-step explanation: I found this answer by adding the workout time together.
Answer:
3:09
Step-by-step explanation:
First add the total time of the workout
20+9+7=36
then subtract the end time 3:45 with the workout time:
3:45-00:36=3:09
Check work:
3:09+00:36=3:45
Identify the graph which shows the figure in graph A, rotated 90° in a clockwise direction around the origin.
What is the approximate area of the circle shown below?
Answer:
A
Step-by-step explanation:
Which problem can be solved with this equation?
A. Jen has 4 of a meter of ribbon. She buys 6 more meters of ribbon. How many meters of ribbon does she have in all?
B. Jen has f of a meter of ribbon, she wants to give 6 friends equal-size pleces of the ribbon. How many meters of ribbon does each
friend get?
OC. Jen has 6 meters of ribbon. She cuts
soft / of
of the ribbon. How many meters of ribbon does she have left?
OD. Jen has 6 meters of ribbon, she wants to give
of it to her friend. How many meters of ribbon does she give her friend?
Answer:
I believe the answer is B
In a law office, the average number of billed hours per day was 150 last year. In the first 85 days of this year, the average number of billed hours per day is 158 with a standard deviation of 65 hours. When testing the hypothesis (at the 10% level of signficance) that the average number of billed hours per day has increased, what is the null and alternative hypotheses (please write out the null and alternative hypotheses below AND on your scratch work...failure to do BOTH will result in 0 points)
Answer:
There isn't enough evidence to reject H0
Step-by-step explanation:
Null hypothesis :
H0: μ = 150
H1 : μ > 150
Decision region :
Reject Null if ;
Pvalue < α
Zstatistic = (x - μ) / (s/sqrt(n))
Zstatistic = (158 - 150) / (65/sqrt(85))
Zstatistic = 0.1135
Using the P value calculator from Zstatistic at 90% ; α = 0.10 confidence interval ; one tailed test = 0.128
Pvalue = 0.128
Since ; 0.128 > 0.10
Pvalue > α
We cannot reject H0:
Solve for x.
(Round to the nearest hundredth)
Answer:
x=26.44
rounded to the nearest hundredth.
Step-by-step explanation:
Soh Cah Toa
We need opposite for x and adjacent for 44
Length × Tan (Angle)
44 × Tan (31)=26.43786724
HELP PLS I NEED HELP
Answer:
133
Step-by-step explanation:
180 - 47 = 133
Answer:
133°
Step-by-step explanation:
If we assume the the given to adjacent lines to be parallel then ,
The x and supplement of 47° will be equal since they will be corresponding angles .Therefore :-
=> x = 180° - 47°
=> x = 133° .
Hence the size of angle X is 133°19. The formula P = a + b + cgives the perimeter P of a triangle with side
lengths a, b, and c. A triangular field has sides that measure 33 yards,
56 yards, and 65 yards. What is the perimeter of the field? (6.EE.20)
Answer:
33 + 56 + 65 = 154
The length of a rectangle is 20 inches less than twice the width. The perimeter of the rectangle is 86 inches. Find the dimensions of the rectangle.
Answer:
length=22
width=21
Step-by-step explanation:
let, length be x and width be y.
x=2y-20
2(x+y)=86
or, 2(2y-20+y)=86
or, 2(3y-20)=86
or, 6y-40=86
or, 6y= 126
or, y= 126/6
y= 21
x= 2×21-20 = 42-20 =22
Which table shows a linear relationship
Answer:
B
Step-by-step explanation:
can you help me please
Answer:
[tex]log_372 = 3.8928[/tex]
Step-by-step explanation:
Given
[tex]log_38 = 1.8928[/tex]
Required
Evaluate [tex]log_372[/tex]
We have:
[tex]log_372 = log_3(8 *9)[/tex]
Apply law of logarithm
[tex]log_372 = log_38 +log_39[/tex]
Express 9 as 3^2
[tex]log_372 = log_38 +log_33^2[/tex]
Evaluate the exponents
[tex]log_372 = log_38 +2log_33[/tex]
[tex]log_33 = 1[/tex].
So:
[tex]log_372 = log_38 + 2 * 1[/tex]
[tex]log_372 = log_38 + 2[/tex]
Substitute [tex]log_38 = 1.8928[/tex]
[tex]log_372 = 1.8928 + 2[/tex]
[tex]log_372 = 3.8928[/tex]
Helpppp please !!! Due in an hour
1/4 divided by 5 explain how you do it
Answer: It would be 0.05 because it’s just simple math, I just learned this today at school.
I mean I think it’s simple math
Step-by-step explanation:
Harper you have a Great Day or Night, and also I hope it was helpful!!! : )
Please help!!!!!!!!!
Answer:
7.823 8.019
Step-by-step explanation:
Those two both will round up to 20 in the hundredths place and both round to 8.
Which ratio is greater? 3 : 4 or 5:6
Answer:
5:6 is greater than 3:4.
Which equations are equivalent to 33/x+ 4 = 12? Check all that apply.
3x + 4 = 9
43 = 3x + 4
O x + 4 = 64
U 3+ 4 = - 4
0 60 = x
Answer:
option c
x + 4 = 64
and
option e
x = 60
Step-by-step explanation:
Given in the question an expression
3∛x+4 = 12
∛x + 4 = 12/3
∛x + 4 = 4
Take cube on both sides of the equation
∛(x + 4)³ = 4³
x + 4 = 64
x = 64 - 4
x = 60
Convert these mixed numbers into improper fractions.
Answer:
[tex]2\frac{2}{5}=\frac{12}{5}[/tex]
[tex]3\frac{1}{6}=\frac{19}{6}[/tex]
Step-by-step explanation:
In [tex]2\frac{2}{5}[/tex] you multiply 2x5 which equals 10 and then you add 10+2=12
2x5=10
10+2=12
=[tex]\frac{12}{5}[/tex]
You do the same thing multiply the denominator by the whole number and whatever you get when you multiply add it with the numerator.
3x6=18
18+1=19
=[tex]\frac{19}{6}[/tex]
Why is m..?
somebody help please
Answer:
The last one
Step-by-step explanation:
The fast reason why - all the other scenarios require 3 lines: 2 lines both parallel to a 3rd, or 2 lines cut by a transversal line, etc. The diagram only shows 2 lines. So the right answer must be the one that doesn't require a third line to be present. :)
The longer answer why - See how angles 2 & 3 have the same style of arc? That is telling you they are of equal measure. So together they are a straight angle, 180°. And they are equal to each other, so 2x = 180° --> each one must be a 90° angle.
Wherever two lines cross, if one angle is a right angle, all 4 angles at the intersection also must be right angles, so everything is perpendicular.