Answer:
13.5 dollars per hour
Step-by-step explanation:
216 divided by 16 is 13.5
Answer:
13.5
Step-by-step explanation:
All you have to do is divide $216 by 16
Adam wishes to have $19,000 available in 18 years to purchase a new car for his son as a gift for his high school graduation. To accomplish this goal, how much should Adam invest now in a CD that pays 1.92% interest compounded semiannually? Adam should invest $ NOW. (Round to the nearest cent as needed.)
The amount of money Adam should save now in order to accomplish his goal is $13,470.30.
How much should Adam save now?In order to determine the amount Adam should save now, the present valaue of $19,000 has to be determined. Present value is the sum of discounted cash flows.
Present value = future value / (1 + interest)^time
Interest = 1.92/2 = 0.96%
Time = 18 x 2 = 36
$19,000 / (1.0096^36) = $13,470.30
To learn more about present value, please check: https://brainly.com/question/26537392
Given point a = -7 and point b = 15, find the distance from point a to b. *
a. 8
b. -22
c. 22
and the solution would be appreciated
Answer:
c
Step-by-step explanation:
the distance between a to b is
| 15 - (- 7) | = | 15 + 7 | = | 22 | = 22
or
| - 7 - 15 | = | - 22 | = 22
please help me i'll do anything
Step-by-step explanation:
Here are all the answers.
The population of a town is expected to grow by 6% each year.
In 2017 the population was 27,000.
What will the be population in 2018?
Answer:
28620
Step-by-step explanation:
→ Find the multiplier
( 100 + 6 ) ÷ 100 = 1.06
→ Multiply by the original amount
27000 × 1.06 = 28620
Which fraction does this line plot represent?
5/8
6/8
5/9
3/8
Answer:
5/8
Step-by-step explanation:
Just gonna fill up the required space here lol
1,945x46 multiplying multiplication
Answer:
89,470
Step-by-step explanation:
HELP ASAP
Refer to the diagram at the right. Give the area of each
region in standard form.
a. Shaded rectangle
b. Larger rectangle
c. Unshaded region
Answer:
Step-by-step explanation:
(a). [tex]A_{1}[/tex] = x ( 2x + 1 ) = 2x² + x
(b). [tex]A_{2}[/tex] = 2( 2x + 1 )( 5x + 3 ) = 20x² + 22x + 6
(c). [tex]A_{3}[/tex] = 20x² + 22x + 6 - ( 2x² + x ) =
( 20x² - 2x² ) + ( 22x - x ) + 6 =
18x² + 21x + 6
A science test was given to boys and girls from three different schools. Rudolph, a junior researcher, wants to analyze the difference in the variability of the mean scores among the three schools. The appropriate statistical test would be the
The appropraite statistical test that would be used to measure the difference in the variability of the mean scores among the three schools is mean absolute deviation.
What is the mean absolute deviation?
Mean absolute deviation is the average of the absolute difference between the data set and its mean. Mean absolute deviation is used to measure spread.
MAD = [tex]\frac{1}{n}[/tex]∑ l x - m(x) l
Where:
x = data set m = meanTo learn more about mean absolute deviation, please check: https://brainly.com/question/27365177
6 times the sum of a number and 2
Answer:
6 times means 6 multiplied by
The sum of a number and 2 means x + 2
x = number
(2+x) × 6
What should be done to solve the following equation?
=
C-730
7
What should be done to solve the following equations?
C - 7 and 3/4= 0
A) add 7 and 3/4 to both sides of the equation
B)Add O to both sides of the equation.
C)Subtract from both sides of the equation
D) Subtract 7 from both sides of the equation
The equation C -7 - 3/4 = 0 is an algebraic equation
To solve the equation we (a) add 7 and 3/4 to both sides of the equation
How to determine the action on the equation?The equation is given as:
C -7 - 3/4 = 0
Make C the subject of formula by adding 7 and 3/4 to both sides of equation
C = 7 + 3/4
Now, we can solve for C
Hence, to solve the equation we (a) add 7 and 3/4 to both sides of the equation
Read more about equations at:
https://brainly.com/question/2972832
Help pls :)I’m a little slow
Answer:
The number line "D" represents the solution to 5+8x<3(2x+4)
Answer:
Solve;
5 + 8x < 3(2x + 4)
Perform the distributive property:
5 + 8x < 6x + 12
-5 -5
8x < 6x + 7
-6x -6x
2x < 7
/2 /2
x < 3.5, so your answer is D.
What’s the radius of center (-2,1) and contains the point (2,-1)
To find the radius of a circle when we're given the coordinates of its center and a point it contains, we can use the following formula for distance:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
[tex](x_1,y_1)[/tex] is one point and [tex](x_2,y_2)[/tex] is anotherSolving the QuestionWe're given:
Center: (-2,1)Point: (2,-1)Plug these given points into the formula for distance:
[tex]d=\sqrt{(2-(-2))^2+(-1-1)^2}\\d=\sqrt{(2+2)^2+(-1-1)^2}\\d=\sqrt{(4)^2+(-2)^2}\\d=\sqrt{16+4}\\d=\sqrt{20}\\d\approx4.47[/tex]
AnswerTherefore, the radius of the circle is [tex]\sqrt{20}[/tex] units, or approximately 4.47 units.
describe how to simplify the he expression 3^-6/3^-4
Answer:
by using bodmas rule
to solve this problem
Step-by-step explanation:
=3^-6/3^-4
=3-2-4
=-3
f(x)=-3x-23
g(x)=3x+25
I need points X and y
I will give brainly
Answer:
refer to this image here:
hope this helps :)
We will use graphical way to solve it
y=-3x-23y=3x+25Graph it
Solution is
(-8,1)
NEED HELP ASAPPP !!!
Answer:
I believe D is the correct answer
WILL GIVE BRAINLIEST, THANKS, AND 5 STARS! PLEASE HELP EXPLAIN TO ME IN WORDS!
QUESTION IN SCREENSHOT!
Also: hows your day going, how are you feeling?
Answer:
So, we can check step by step.
2x^2-7x+5=0
So, 2x^2-2x-5x+5=0 is correct
2x(x-1)=2x^2-2x, 5(x-1)=-5x + 5= 0, that step is correct
(I'll skip the next step)
2x-5=0,
2x=5
x=5/2, NOT 2/5
The other one is correct
Sorry if this seems a bit vague!
[tex]\\ \rm\Rrightarrow 2x^2-7x+5=0[/tex]
Split the middle term[tex]\\ \rm\Rrightarrow 2x^2-2x-5x+5=0[/tex]
Take common[tex]\\ \rm\Rrightarrow 2x(x-1)-5(x-1)=0[/tex]
Factor up[tex]\\ \rm\Rrightarrow (2x-5)(x-1)=0[/tex]
Find x[tex]\\ \rm\Rrightarrow x=5/2,1[/tex]
Lauren written 2/5 instead of 5/2
Let's verify once more
2x-5=02x=5x=5/24/9,-4/3, 4 what comes next?
Answer:
-12
Step-by-step explanation:
because 4 will be multiplied by-3 since 4/9 was multiplied by-3 to get -4/3 and -4/3 was multiplied by-3 to get 4
√2(3+3√2) Needs to be simplified down
Answer:
Exact Form:3√2+6
Decimal Form:
10.24264068…
Step-by-step explanation:
Use the following system of linear equations to do the three tasks below.
x = y +3
Y=-4x-3
• Part A: Solve the linear system of equations by graphing.
• Part B: Use substitution to solve the linear system of equations.
• Part C: Use addition to solve the linear system of equations.
In your final answer, include all of your work, the graph of the equations and the solution.
Step-by-step explanation:
where the is y,you put the value of y 4x-3 and where the is x,put the value of x (y+3)
Please help me.
2 ^ (2x - 3) * .5 ^ (x - 1) = 200
Answer:
x = 3
Step-by-step explanation:
[tex] {2}^{(2x - 3)} \ast {5}^{(x - 1)} = 200 \\ \\ \implies \: {2}^{(2x - 3)} \ast {5}^{(x - 1)} =8 \ast \: 25 \\ \\\implies \: {2}^{(2x - 3)} \ast {5}^{(x - 1)} = {2}^{3} \ast {5}^{2} [/tex]
Comparing like terms on both sides, we find:
[tex]{2}^{(2x - 3)}= {2}^{3}\: \: or \:\:{5}^{(x - 1)} = {5}^{2} [/tex]
[tex]\implies \:2x - 3 = 3 \: \: or \: \:x - 1 = 2 \\ \\ \implies \:2x = 3 + 3 \: \: or \: \: x = 1 + 2\\ \\ \implies \:2x = 6 \: \: or \: \: x = 3 \\ \\ \implies \:x = \frac{6}{3} \: \: or \: \: x = 3 \\ \\ \implies \:x = 3 \: \: or \: \: x = 3 \\ \\ \implies \huge \:x = 3 [/tex]
PLS HELP In circle A, secant EC and tangent BC intersect at point C. mЕВ = 171° and mBD 83°. What is mBCD?
Enter your answer in the box.
Answer:
∠ BCD = 44°
Step-by-step explanation:
the secant- tangent angle BCD is half the difference of the intercepted arcs, so
∠ BCD = [tex]\frac{1}{2}[/tex] (EB - BD) = [tex]\frac{1}{2}[/tex] (171 - 83)° = [tex]\frac{1}{2}[/tex] × 88° = 44°
HELPPPPPPPPPPP
NO LINKS
Answer:
Point W is [tex](-5,-4)[/tex]
Point Z is [tex](-5,6)[/tex]
Hope This Helps! :) Please Give Brainliest if you can!
Answer: Point W is (5, -4 Point Z is (-5,6)
what are the dimensions of a rectangle with an area of 45 square inches and a perimeter of 28 inches?
Answer:
9 in × 5 in
Step-by-step explanation:
the area of a rectangle :
length × width
and this is 45 in² in our case.
the perimeter of a rectangle is
2×length + 2×width
and this is 28 in in our case.
l×w = 45
l = 45/w
2×l + 2×w = 2×(45/w) + 2w = 28
45/w + w = 14
45 + w² = 14w
w² - 14w + 45 = 0
the general solution to such a squared equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
x = w
a = 1
b = -14
c = 45
w = (14 ± sqrt((-14)² - 4×1×45))/(2×1) r
= (14 ± sqrt(196 - 180))/2 = (14 ± sqrt(16))/2 =
= (14 ± 4)/2 = 7 ± 2
w1 = 7 + 2 = 9 in
w2 = 7 - 2 = 5 in
l1 = 45/w1 = 45/9 = 5 in
l2 = 45/w2 = 45/5 = 9 in.
so, we see, length and width are interchangeable. it is only important to make one 9 in and the other 5 in.
EZ POINTS!!!!!! explain how you divide 72 by 9.
Answer:
8
Step-by-step explanation:
Take 72 and put it over 9. In other words, split 72 into 9 groups. Your answer will be 8, btw.
Thanks for the points. Hope it helps :)
Answer:
9\72=8
Step-by-step explanation:
9x8=72
_08_
9| 72
- 72
-----------
0
please mark brainliest
Hitung nilai x bagi persamaan
Calculate the value of x for the equation
Answer:
2
Step-by-step explanation:
2⁹ ÷ (4^x) = 32^x × 32^(-1)
2⁹ ÷ 32^(-1) = 32^x × 4^x
16384 = 128^x
Kalau kamu dah belajar logaritma,
[tex]x = log_{128}(16384) \\ x = 2[/tex]
Jika belum,
2¹⁴ = 2^(7x)
Bandingkan kuasa persamaan tersebut,
7x = 14
x = 2
What is the period of rotation of the wheel for which the height of a rider (in feet) above the ground after riding the wheel for t seconds dunce passing the farthest right position on the wheel given by h(t)=60+45 sin (30t)?
According to the given sine function, it is found that the period of rotation is of 0.21 seconds.
What is the period of a sine function?Suppose a sine function modeled by:
[tex]y = A\sin{[B(x + c)]}[/tex]
The period is given by:
[tex]P = \frac{2\pi}{B}[/tex].
In this problem, the function is:
h(t)=60+45 sin (30t).
The vertical shift and the amplitude do not interfer in the period, hence B = 30 and:
[tex]P = \frac{2\pi}{30} = 0.21[/tex]
The period of rotation is of 0.21 seconds.
More can be learned about the period of a sine function at https://brainly.com/question/16818112
please help!!! I will make you brainliest I need this and I also don't understand
State whether each of the statements below is true or false.
Write down your reasoning and give a counter-example for any
statement you believe is false
a All isosceles triangles are similar.
b All equilateral triangles are similar.
C All right-angled triangles are similar.
d All right-angled triangles with an angle of 30° are similar.
e All right-angled isosceles triangles are similar.
f No pair of scalene triangles are ever similar.
Answer:
a)True
b)True
c) False
d) True
e)True
f) True
Performing a Rotation in the Coordinate Plane
Fill in the missing numbers to make each rotation true
Figure WXYZ is rotated 90° clockwise around the
origin to form figure W'X'Y'Z'.
Answer:
W: (-4,5) W' -> (5,4)
X: (-1,4) X' -> (4,1)
Y: (-6,1) Y' -> (1,6)
Z: (-8,3) Z' -> (3,8)
Step-by-step explanation:
Let me give you a quick brief of how to master rotations!!
You need to understand the formula and positioning rules
The formulas shall be given by teachers or looked up!
*** BUT THE SHAPE POSITIONING RULES MATTER!!
-If the shape was in quadrant 2 which is where it is right now then a 90 degree turn clockwise would result in the shape being on quadrant 1, 180 quad 4, 270: quad 3, and 360 would be the original quad which is 2.
The formula for clockwise for this one is that you need to flip the (x,y) to (y,x)
The shape should be on quadrant 1 which is the one on the top right of the coordinate plane!
They want you to graph it by W'X'Y'Z
The ' is prime which is the new position/coordinate
W: (-4,5) W' -> (5,4)
X: (-1,4) X' -> (4,1)
Y: (-6,1) Y' -> (1,6)
Z: (-8,3) Z' -> (3,8)
That is the rotation 90 degrees clockwise coordinates!!
***REMEMBER EACH ROTATION RULE HAS A DIFFERENT FORMULA!!**
Counterclockwise is pretty similar but the opposite direction with different rules!
**POSITION OF THE SHAPE IS THE MOST IMPORTANT!!!**
The measure of the complement of an angle is 40 less than the measure of the supplement of the angle. Find the measure of the angle.
Step-by-step explanation:
x is the angle.
complementary angles are adding up to 90°.
supplementary angles are adding up to 180°.
so,
90 - x = (180 - x) - 40 = 140 - x
0 = 50 ? no
there is something wrong here. this cannot work out, there is no solution. there cannot be a solution.
because due to the definitions, the supplementary measure of an angle must always be 90° larger than the complementary measure of the same angle. that is by default the difference in their definition.
so, if an angle is only 40° less than the supplementary angle, then it cannot be the complementary angle.
so, either there was a mistake in the question, or this is a trick question.
under the given circumstances, there is no solution possible.