Answer:
It will take approximately 13 years for the calculator to be $2
Step-by-step explanation:
We need to set up a depreciation equation for the cost of the calculator per year.
Let the initial cost be I, the present value be P and the depreciation percentage be r%
Thus;
P = I( 1 - r%)^t
r% is same as r/100
For the two years initially;
75 =I( 1 - r/100)^2•••••••••(i)
For the 8 years, we have the equation as
10 = I(1 - r/100)^8 ••••••••(ii)
Now, simply divide the second equation by the first directly; we have;
10/75 = (1 - r/100)^8 / (1 - r/100)^2
2/15 = (1-r/100)^6
Take the log of both sides
ln(2/15) = ln(1-r/100)^6
ln(2/15) = 6 ln (1-r/100)
-2.015 = 6 ln (1 - r/100)
divide both sides by 6
-0.34 = ln (1-r/100)
1-r/100 = e^(-0.34)
1-r/100 = 0.715
Multiply through by 100
100 - r = 71.5
r = 100-71.5
r = 28.5%
Let’s now calculate the initial value;
P = I( 1 - r/100)^t
Let’s use the two years time frame
75 = I( 1 - 28.5/100)^2
75 = I(0.715)^2
I = 75/(0.715)^2
I = 146.71 which is approximately $147
Now, the time it will take for the calculator to be $2
P = I(1-r/100)^t
2 = 147 ( 1 - r/100)^t
divide both sides by 147
0.014 = (0.715)^t
ln 0.014 = ln (0.715)^t
t ln 0.715 = ln 0.014
t = ln 0.014/ln 0.715
t = 12.72
t is approximately 13 years
PLEASE HELP
What would be the title of this information on a line graph?
Answer:
temperature each day
Step-by-step explanation:
gxhvyendudnr gfchjdv
why is it not poping up???
Answer:yes
Step-by-step explanation:
idoooncxmm
Answer:
yes
Step-by-step explanation:
non
Can you help guys I’m stuck on it
Answer:
See Below
Step-by-step explanation:
Ok, so congruent means the same.
Using this knowledge, we can clearly see that the bottom pair are not congruent.
For the first pair, let compare the slopes and lengths of the line segments.
(If you have wax paper, you can trace A and see if it matches B)
GH <=> PQ = 2 blocks
LG <=> UP = 5/1 slope
KL <=> TU = 2 blocks
JK <=> ST = 1 block
IJ <=> RS = 1/1 slope
HI <=> QR =3 blocks
As you can see, all the corresponding side lengths/ slopes are the same.
This means the first pair are congruent.
Stuck on this question. Need help! (Will mark as Brainliest if correct)
13. A refrigerator has a variety of drinks.
The contents are shown below. If one drink
is picked randomly, then which of the
following is not true?
A. You are twice as likely to select a cola than
a water.
B. You are half as likely to select a lemonade
than o water
C. You are more likely to select a cola than a
water or a lemonade.
D. You are twice as likely to select a water
than a cola.
Answer: D
Step-by-step explanation:
if you where twice as likely to select a water than a cola, they would be flip flopped.
If there are 600,000,000 bullfrogs shaking their butt's on trees and only 700 leave how much bullfrogs are shaking their butt's/ there?
A - 599999300
B - 5999999000
C - 700
D - 90000
E 920470573
Answer:
the answer is A
Step-by-step explanation:
because if you subtract 700 from 600,000,000 you will get 599999300
HELPP 10 POINTS!! Find the slope of the line on the graph.
Write your answer as a fraction or a whole number, not a mixed number or decimal.
Answer:
2/3
Step-by-step explanation:
To find the slope use rise over run between two points. You start at one point and count up. Then you go right until you reach your second point. You can also use this formula in the screen shot below. the first point is (x1, y1) the second point is (x2, y2)
Shawna and her best friend Keisha go shopping. The function p(x) = 3x4 + 2x3 − 4x2 + 21 represents how much money each girl spent based on the number of hours they were shopping. If Shawna and Keisha each go shopping for 2 hours, how much money did they spend together? $37 $69 $101 $138 Question 9(M
Answer:
$69
Step-by-step explanation:
Given the amount of money each girl spent based on the number of hours they were shopping modeled by the function p(x) = 3x4 + 2x3 − 4x2 + 21
To get how much they spend together if each go shopping for 2hours, we will substitute x = 2 into the given function as shown:
p(2) = 3(2)⁴ + 2(2)³ − 4(2)² + 21
p(2) = 3(16) + 2(8) − 4(4) + 21
p(2) = 48 + 16 − 16 + 21
p(2) = 48+21
p(2) = 69
Therefore they spend $69 together
Answer: 138$
Step-by-step explanation: 69$ is how much 1 girl spends. They both spend 138%$. Also, I took the test.
It rained 0.72 inches on Monday and 1.6 inches on Tuesday. How much more did it rain on Tuesday than Monday?
Answer:
0.88
Step-by-step explanation:
1.6-0.72=0.88
Answer:
.88
Step-by-step explanation:
You just need to subtract the 2 values or 1.6-0.72
Manager Roberts watched from the dugout as her baseball team took the field. It was the ninth inning and her players were locked in a 9-9 tie with their opposers. Roberts studied the nine players she had positioned on the field: Simmons, Roe, Flow, Schmoe, Schmidt, Whitt, Kitt, Kent, and Kowalski
Her attention soon became absorbed by the curious fact that her nine players wore on their uniforms: 1,2,3,4,5,6,7,8, and 9. The more she looked at his players and their numbers, the more he noticed. Roberts' observations are given below as clues, from which you should be able to deduce who played which position, wearing which number
Answer:
Follows are the solution to this question:
Step-by-step explanation:
Some of the data is missing in the question, which is defined in attached. please find it.
For point 1: P - 8- Roe
For point 2: C - 1- Schmoe
For point 3: 1B - 4 - Blow
For point 4: 2B - 2 - Kent
For point 5: SS - 9 - Kowalski
For point 6: 3B - 3 - Simmons
For point 7: LF - 5 - Schmidt
For point 8: CF - 6 - Kitt
For point 9: RF - 7 - Whitt
Gerardo claims the figures shown in the graph are similar. Write a series of transformations with explanations to support Gerardo’s claim. *
Answer:
A dilation by 2 and a rotation about the origin at 90 degrees counter-clockwise
Step-by-step explanation:
Already taken geometry.
help asappppp? i’m having trouble on wat the 1/4 point is
Answer:
(-14, 5.5)
Step-by-step explanation:
Perhaps the easiest way to find the 1/4 point is to find (x, y), then find the midpoint between that and M.
(x, y) = 2M -(13, 25) = 2(-5, 12) -(13, 25) = (-23, -1)
Then the 1/4 point is ...
((-23, -1) +M)/2 = ((-23, -1) +(-5, 12))/2 = (-28, 11)/2 = (-14, 5.5)
_____
If we call the end points A(x, y) and B(13, 25), then we know ...
M = (A+B)/2
A = 2M -B . . . . we'll need this in a bit
and the 1/4 point Q is such that ...
(Q -A)/(B -A) = 1/4
4Q -4A = B -A . . . . cross multipliy
Q = (B +3A)/4 = (B +3(2M -B))/4 = (6M -2B)/4 . . . . solve for Q
Q = (3M -B)/2 . . . . reduce the fractions
Q = (3(-5, 12) -(13, 25))/2 = (-28, 11)/2 = (-14, 5.5) . . . as above
PLS help me answer this question if correct I'll make brainylist!!!!!
Answer:
The answer is the third number line
Step-by-step explanation:
First let's find the solution to the inequality
4x - 3 is less than 5
+3 +3
4x is less than 8
4x/4 is less than 8/4
x is less than 2
Note: If it is less than, it will have an open circle pointing to the left on a number line.
The answer is the third number line
Hope this helps!
Answer:
option 3
Step-by-step explanation:
4x-3 < 5
1) we first solve the equation and get x < 2
2) we already can eliminate options 1 and 2
3) and we know the answer choices will be less than 2 so the answer is 3 becuase of process of elmination.
Solve the inequality -2(4x-2)<-8x+4
Answer:
There are no solutions.
Step-by-step explanation:
−2(4x−2)<−8x+4
Step 1: Simplify both sides of the inequality.
−8x+4<−8x+4
Step 2: Add 8x to both sides.
−8x+4+8x<−8x+4+8x
4<4
Step 3: Subtract 4 from both sides.
4−4<4−4
0<0
Nicholas’s school is located at ____.
A. (0, 0)
B. (1, –1)
C. (–2, – 2)
D. (3, 2)
Answer:
D
Step-by-step explanation:
cuz it is
what is the vertex of y=2x^2-8x+3?
for graphing quadratics in standard form
Answer:
vertex is 2
Step-by-step explanation:
vertex is 2 because the formula is -b/2(a)
so if we substitute it is -8/2(2)
simplify it will be 2
Which expression is 3 times as large as the expression 610 – 97?
Choose 1 answer:
3 x (610 – 97)
3+ (610 - 97)
3 x 610 – 97
Jason ate 2/3 of the pizza. What part of the pizza is left? (split in 6)
Answer:
4
Step-by-step explanation:
2/3 * 6/1 = 12/3
12/3 = 4/1
The part of the pizza that is left = 2 from the 2/3 pizza eaten by Jason.
What are word problems in mathematics?Word problems in mathematics are the use of arithmetic and mathematical operations to solve problems real-life problems.
From the given information, Let us assume that the total amount of the pizza is 1.
If Jason ate 2/3 of the pizza, then the part of the pizza that is left is:
[tex]\mathbf{=(1 - \dfrac{2}{3})}[/tex]
[tex]\mathbf{=(\dfrac{3 -2}{3 })}[/tex]
[tex]\mathbf{=\dfrac{1}{3 }}[/tex]
Now, we are to split the remaining part of the pizza into 6 parts;
i.e.
[tex]\mathbf{=(\dfrac{\dfrac{1}{3}}{6})}[/tex]
[tex]\mathbf{=(\dfrac{1}{3}}\times \dfrac{6}{1})}[/tex]
= 2
Learn more about solving word problems in mathematics here:
https://brainly.com/question/13818690
#SPJ2
A school district rotates principals every 8 years and assistant principals every 6 years. If a school received both a new principal and assistant principal in 2009, when is the next year they will receive both a new principal and assistant principal again?
-x + 4 = 32
Solving for X
X=-28
X=-36
X=28
X=36
Answer:
X=28
Step-by-step explanation:
Find the distance between the two numbers on the number line.
1.8
12.
-2.5
-3
-2
1
0
1
2
F. 4.1
G. 0.7
H. 4.3
I. -0.7
Answer:
Step-by-step explanation:
A simple way to calculate the distance between numbers on a number line is to count every number between them. A faster way is to find the distance by taking the absolute value of the difference of those numbers. Absolute value of a number on a number line is its distance from 0 on the number line .
Line q passes through (-5.5) and is parallel to the
line 2x + y + 1 = 0
the slope of line q is
Answer:
the slope does not change as it is parallel so the slope is -2
In a sterile environment, a single cell of bacteria is placed on a sandwich for an experiment. The amount of bacteria doubles each hour.
Complete the following sentence that describes the relationship between the units of bacteria grown and the time required for its growth, t, in hours.
After
hour(s), the bacteria count on the sandwich reaches 2,048 units.
Answer:
11 hours
Step-by-step explanation:
1 doubled is 2. 2 doubled is 4. 4 doubled is 8. 8 doubled is 16. 16 doubled is 32. 32 doubled is 64. 64 doubled is 128. 128 doubled is 256. 256 doubled is 512. 512 doubled is 1024. and lastly 1024 doubled is 2048
I need help asapppppoooo
Answer:
This looks rly familiar
Step-by-step explanation:
I took this test and the answer is C
Can someone please help me with these questions?
Answer:
7. m<RST = 138°
8. m<MNP = 56°
9. m<WXZ = 130°
10. m<ABC = 118°
Step-by-step explanation:
7. m<RST = 138° (alternate exterior angles are congruent)
8. m<MNP = (a + 28)°
(a + 28)° = 2a° (alternate interior angles are congruent)
a + 28 = 2a
Collect like terms
28 = 2a - a
28 = a
m<MNP = (a + 28)°
Substitute a = 28
m<MNP = (28 + 28)° = 56°
9. m<WXZ = 5y°
5y = (2y + 78)° (alternate interior angles are congruent)
5y = 2y + 78
Collect like terms
5y - 2y = 78
3y = 78
Divide both sides by 3
y = 26
m<WXZ = 5y°
Plug in the value of y
m<WXZ = 5(26)
m<WXZ = 130°
10. m<ABC = (3n - 47)°
(3n - 47)° + (n + 7)° = 180° (same side interior angles are supplementary)
3n - 47 + n + 7 = 180
Collect like terms
4n - 40 = 180
Add 40 to both sides
4n = 180 + 40
4n = 220
Divide both sides by 4
4n/4 = 220/4
n = 55
m<ABC = (3n - 47)°
Plug in the value of n
m<ABC = 3(55) - 47 = 165 - 47
m<ABC = 118°
Mary owns a coffee shop. She charges $4.50 for a cup of coffee, and it costs her $1.25 to make each cup of coffee plus a $75 a day for other expenses. Write and solve an equation to determine how many cups of coffee, c, will Mary need to sell to break-even?
Answer:
Approximately 23 cups of coffee
Step-by-step explanation:
Break even = Fixed cost/Selling price - variable cost
Fixed cost = $75
Selling price = $4.50
Variable cost = $1.25
Break even = $75/$4.50 - $1.25
= 23.076923077
Approximately = 23
Therefore, Mary has to sell approximately 23 cups of coffee daily in order to break evem
(3x-8) (2x+12) whats the answer
Answer:
6x^2 + 20x - 96
Step-by-step explanation:
FOIL!!! 3x times 2x is 6x^2,
3x times 12 is 36x,
-8 times 2x is -16x
12 times -8 is -96
36x-16x= 20x
A square has a side length of (x+3) centimeters. If the perimeter is 24 centimeters, what is the side length of the square? (Hint: to find
the perimeter of a square, you add up all the lengths of the sides).
A.Зcm
B.7cm
C. 9cm
D.14cm
Answer:
3 cm
Step-by-step explanation:
4(x + 3) = 24
4x + 12 = 24
4x = 12
x = 3 cm
**multiply by 4 because a square has 4 equal sides***
Answer:
3
Step-by-step explanation:
A square has 4 equal sides
so
4(x+3) = perimeter = 24
4x+12 = 24
4x = 12
x=3
Write a quadratic function in standard form with zeros 5 and 6
Answer:
[tex] {x}^{2} - 11x +30[/tex]
Step-by-step explanation:
Zeros = 5 & 6
Let the variable of the quadratic function be x
Therefore, (x - 5) & (x-6) are factors
[tex](x - 5)(x - 6) \\ \\ = {x}^{2} - (5 + 6)x + ( - 5)( - 6) \\ \\ = {x}^{2} - 11x +30 \\ is \: the \: required \: quadratic \: \\function.[/tex]
WILL BRAINLIEST WHOEVER ANSWERS IN 2 MINUTES!
An auto parts manufacturer throws out gaskets with weights that are not within 0.06 pound of the mean weight of the batch. The weights (in pounds) of the gaskets in a batch are 0.58, 0.63, 0.65, 0.53, and 0.61. Which gasket(s) should be thrown out?
Answer:
0.53 Pounds I think
Step-by-step explanation:
I hope this helps!