Answer:
4.62 years
Step-by-step explanation:
Half the car's value =>$24,000/2 = $12,000
The formula for exponential decrease =
y = a(1 - r)^t
y = Initial value = $24,000
a = Value after time t = $12,000
r = Decrease rate = 15% = 0.15
t = time in years =??
Hence,
24,000 = 12000 ( 1 - 0.15)^t
Divide both sides by 12000
24000/12000 = 12000 ( 0.85)^t/ 12000
2 = 0.85^t
We take the logarithm of both sides
log 2 = log (0.85)^t
log 2 = t log 0.85
Divide both sides by log 0.85
t = log 2/log 0.85
t = 4.62098120373 years
Approximately = 4.62 years
It would take 4.62 years to be worth half the initial price
Skylar travels 50 meters N and then goes 30 meters W before coming straight back south 20 meters. What distance did she travel?Skylar travels 50 meters N and then goes 30 meters W before coming straight back south 20 meters. What distance did she travel?
Answer:
100 meters
Step-by-step explanation:
Given that:
Distance traveled N = 50 meters
Distance traveled W = 30 meters
Distance traveled straight back south = 20 m
The distance traveled :
Distance traveled N + Distance traveled W + Distance traveled S
(50 + 30 + 20) meters
= 100 meters
Write an equation in slope-intercept form: (1,6) and (2,3) are on the line
Step-by-step explanation:
eqn of line : y = mx+ c
m = slope or gradient
c = y-intercept.
Lets take (1,6) = (x1,y1) and (2,3) = (x2,y2)
[tex]m \: = \frac{y1 - y2}{x1 - x2} \\ = \frac{6 - 3}{1 - 2} \\ = \frac{3}{ - 1} \\ = - 3[/tex]
Substitute x = 1 and y = 6 into equation,
[tex]6 = ( - 3)(1) + c \\ 6 = - 3 + c \\ c = 6 + 3 \\ = 9[/tex]
Therefore substituting m and c value, equation of line is
[tex]y = - 3x + 9[/tex]
An isosceles triangle has an angle that measures 90 degrees. Which other angles could be in that isosceles triangle? Choose all that apply. (90), (45), (25), or (80)
Answer:
45°
Step-by-step explanation:
90 + 2(45) = 180
90 + 2(25) ≠ 180
90 + 2(80) ≠ 180
90 + 2(90) ≠ 180
pls hurry will give brainlyest or whatever !!!
If x = 10 and y = 3 Evaluate this expression: x + xy -2(x-y)
20
30
42
36
26
Answer:
26
Step-by-step explanation:
10+(10x3)-2(10-3)=
10+30+-2(7)=
40-14=
26
Gary's supply box contains 5 pencils, 6 pens, 3 glue sticks and 1 marker.
Gary reaches into the box and randomly selects 1 item. He replaces it and
the randomly selects another item. What is the probability that Gary
selects a glue stick both times? *
01/25
1/30
O 1/18
O 3/4
Plz help me
Answer:
1/25
Step-by-step explanation:
You have to add all of the supplies.
5 pencils + 6 pens + 3 glue sticks + 1 marker = 15 supplies
Put 3 over 15, since fractions are part over whole.
Now you have to simplify 3/15, which is 1/5.
Then you multiply 1/5 by 1/5 since he is trying twice, and this will give you 1/25.
A right prism with rhombus bases is shown. The side length of each rhombus is 5 units. The height of the prism is 16 units. The diagonals of each rhombus measure 6 and 8 units. A right prism with a rhobux base is shown. Each side of the rhombus measures 5 units. Diagonals with lengths of 6 and 8 units are drawn within the rhombus. The height of the prism is 16 units. What is the volume of the prism? 192 cubic units 200 cubic units 384 cubic units 400 cubic units
Answer:
384 cubic units
Step-by-step explanation:
The computation of the volume of the prism is shown below:
As we know that
The volume of the rhombus is
V = Base × height
where,
B = D₁D₂ ÷ 2
= (6)(8) ÷ 2
= 24 units squared
Now the volume of the prism is
V = (24)(16)
= 384 cubic units
Answer:
384 cubic units
Step-by-step explanation:
A pound is equal to 0.454 kilograms, how many kilograms does a 142-pound man weigh?
A 0.003 kilograms0.003 kilograms
B 64.468 kilograms64.468 kilograms
C 312.77 kilograms 312.77 kilograms
D 644.68 kilograms
Answer:
C 312.77 kilograms 312.77 kilograms
Step-by-step explanation:
Set up the proportion and find AB. Show all work and box your answer
Find the length of the marsh, AB
HELP PLZZZZ!!!
Answer:
x = 129
Step-by-step explanation:
86/48 = x/72
6192 = 48x
x = 129
What is the radius of a 0.8cm circle
help!
asap!
50 pts and brainliest!
tyy
Answer:
B
Step-by-step explanation:
A surveyor leaves her base camp and drives 43km on a bearing of 032°.She then drives 28km on a bearing of 154°.How far is she then from her base camp and what is her bearing from it
Answer:
36.84km ; 252.13°
Step-by-step explanation:
Using the cosine rule :
a² = b² + c² - 2bcCosA
a² = 28² + 43² - (2*28*43)*Cos58
a² = 2633 - 1276.0455
a² = 1356.9544
a = sqrt(1356.9544)
a = 36.8368
a = 36.84 km
For the bearing,
Obtain the angle at B using the Sine rule
a/SinA = b/SinB
36.84/sin58 = 28/sinB
36.84*SinB = 28 * Sin58
SinB = 23.745346 / 36.84
SinB = 0.6445533
B = sin^-1(0.6445533)
B = 40.13°
180 + (32 + 40.13)
180 - 72.13
= 252.13°
Find the area of the shaded polygons
PLS HELP ASAP!!
Answer:
4.5
Step-by-step explanation:
I do RSM
If PR = 5x – 3 and QS = 3x – 5 and QS == PR, what are the length of the
diagonals?
Answer:
Step-by-step explanation:
5x - 3 = 2(3x - 5)
5x - 3 = 6x - 10
6x - 5x = 10 - 3
x = 7
QS = 3(7) - 5 = 16 units
PR = 5 × 7 - 3 = 32 units
John walks dogs to earn extra money. He earns $5 per dog he walks. Using the following equation y = 5x, where x =the number of dogs John walks
and y = the number of dollars John earns.
What is the number of dollars John earns if he walks 8 dogs?
A. $3
B. $13
C. $25
D. $40
8 dogs so 5*8= 40
so it's D
On a coordinate plane, quadrilateral J K L M with diagonals is shown. Point J is at (4, 5), point K is at (5, 1), point L is at (1, 2), and point M is at (1, 5). Which statement proves that quadrilateral JKLM is a kite?
Answer:
[tex]LM = MJ = 3[/tex]
[tex]JK = KL = \sqrt{17[/tex]
Step-by-step explanation:
Given
[tex]J = (4,5)[/tex]
[tex]K = (5,1)[/tex]
[tex]L = (1,2)[/tex]
[tex]M = (1,5)[/tex]
Required
Prove it's a kite
Start by calculating the length of the sides of the kite using:
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 -y_2)^2}[/tex]
[tex]JK = \sqrt{(4 - 5)^2 + (5 -1)^2} = \sqrt{17}[/tex]
[tex]KL = \sqrt{(5 - 1)^2 + (1 -2)^2} = \sqrt{17}[/tex]
[tex]LM = \sqrt{(1 - 1)^2 + (2 -5)^2} = \sqrt{9} =3[/tex]
[tex]MJ = \sqrt{(1 - 4)^2 + (5 -5)^2} =\sqrt{9} = 3[/tex]
Hence:
[tex]LM = MJ = 3[/tex]
[tex]JK = KL = \sqrt{17[/tex]
proves that it is a kite
Answer:
B) LM = JM = 3 and JK = LK = [tex]\sqrt{17}[/tex]
Step-by-step explanation:
Edge 2021
Good Luck :)
HELP ASAPP!!!! PLZZZ
Answer:
x = 4
Step-by-step explanation:
35/60 = (5x+1+35)/96
3,360 = 60(5x+36)
56 = 5x+36
20 = 5x
x = 4
does anyone know the answer to this ?
Answer:answer b
Step-by-step explanation:
Answer:
I think it is B
Step-by-step explanation:
$834 at 7.25% for 1 1/2years
Chris spent half his money on a pair of headphones. Then spent half of his remaining money on CDs. Finally, he spent his remaining $12.00 on a book. How much money did Chris have to begin with
Answer:50.50
Step-by-step explanation:
.A bag contains 3 red checkers and 5 black checkers. A checker is selected, kept out of the bag, and then another checker is selected. What is the P(black, then red)?
Answer: 15 / 56
Step-by-step explanation:
Number of red checkers = 3
Number of black checkers = 5
Total number of checkers = 8
P(black, then red) = 5/8 × 3/7 = 15/56
We should note that the probability to pick a black checker first will be 5 out of 8. Then, there'll be 7 checkers left and the probability to pick a res checker will be 3/7. We then multiply the probabality of each together.
2020-2021-T-Math-Gr05-T10
Question: 1-5
Lia cut a long piece of string into 2 pieces. one piece of the string is 24 inches long, and the other place of the string is 12 inches long How many feet long was the piece of string before a cut it?
Answer:
36 inches.
Step-by-step explanation:
If one piece of string is 12 inches
and the second piece = 24 inches
Then the total is 12 + 24 = 36 inches.
35% of the students on a field trip love the zoo. If there are students on the field trip, how many love the zoo?
Your question is missing an important value. That is the number of people on this trip. So we assume that 250 people are on this trip.
Answer:
88 persons
Step-by-step explanation:
Be cause your question does not have the total number of people on this trip, I assumed that the number of people should be 250.
Now we are to find 35% of 250.
This would give the total number of people they enjoyed the trip
0.35 x 250
= 87.5
approximately 88 persons
So we say that 88 persons loved the zoo.
To trick is to find 35% of whatever number of people are on this field trip.
A number x increased by 5 is greater than or equal to 25.
Answer:
equal tell me if i'm wrong
Someone help plsss im newww tysm if you do!
Answer:
-36/6 is equal to -6
The first step is to divide -36/6 by the denominator, 6.
-36/6 ÷ 6 = -6/1 or -6
Plz help!!!!!!!!!!!!!!!!
Answer:
b) 95
Step-by-step explanation:
equation:
3 x 30 + 5
solve:
3 x 30 + 5 = 95
A landscaper will pave the walkway for $5 per square foot. How much will it cost for Mrs. Johnson to have the landscaper pave her walkway If there is 9ft 16ft and 10ft? HELP PLEASE
A: $117
B: $144
C: $585
D: $720
Answer both parts please
Answer:
1-21m hight and 23 lenght
2-45 hight and 11 length
Today, everything in the store is on sale. The store offers a 20% discount.
A) The regular price of a t-shirt is $18. What is the discount price?
B) Which equation represents this problem?
a) y = 0.8x b) y = 0.2x c) y = 1.80x d) y = 1.20x
C) The discount price of a hat is $18. What is the regular price?
A) The regular price of a t-shirt is $18. What is the discount price?
$14.4
B) Which equation represents this problem?
a) y = 0.8x b) y = 0.2x c) y = 1.80x d) y = 1.20x
The answer would be B.
C) The discount price of a hat is $18. What is the regular price?
22.5
Hope it helped!! ^^
Note: if you need me to explain i Would be happy to do so! :)
A furniture store sell kits that customers use to build cabinets. Each kit contains 18 screws and a set number of boards. Jarred buys 6 of these kits and has a total of 192 screws and boards. The equation shown represents this situation: 6(x + 18) 192. What does the variable represent in Jarred's equation? * O The number of screws in one kit O The number of screws in all 6 kits O The number of boards in one kit? The number of boards in all 6 kits?
the number of boards in all 6 kits
✔✔
Beverly drew the line AB shown below. She then constructed line DC which is the perpendicular bisector of AB.
Answer:
D
Line segments are congruent due to the side-angle-side congruence postulate.
Step-by-step explanation:
DC is the perpendicular bisector of line AB, this mean that DC divides AB at 90 degrees into two equal parts at point E. Hence:
AE = BE
Also DE ≅ DE (reflexive property of congruence)
Also ∠AED = ∠BED = 90° (perpendicular bisector)
We can therefore say that triangle AED and triangle BED are congruent according to the side-angle-side congruence theorem. Therefore line AD = line BD