Answer:
It will take 4 years
Step-by-step explanation:
Here, given the exponential equation that approximates the cost of a car after a certain amount of time, we are tasked with calculating the amount of time it will take to be worth a certain amount.
The exponential equation that approximates the cost of the car is given as;
V = 2,000(0.8)^x
Now, our V = 820 but we want to calculate x which gives the number of years. Substituting this value of V, we get;
820 = 2000(0.8)^x
divide through by 2000
0.41 = 0.8^x
Take the log of both sides
log 0.41 = log 0.8^x
log 0.41 = xlog 0.8
x = log 0.41/log 0.8
x = 3.99 which is approximately 4 years
Frankie is practicing for a 5 km race is normal time is 31 minutes 17 seconds yesterday it's a king only 29 minutes 49 seconds how much faster was Frankie yesterday then his normal time
Answer: He was 1 minute 28 seconds faster.
Step-by-step explanation:
Hi, to answer this question we simply have to subtract Frankie's time yesterday (29 minutes 49 seconds) to his normal time (31 minutes 17 seconds)
Mathematically speaking:
31m 17s - 29m 49s =
(31m-29 m) (17s-49s)=
2m -32s=
1m 60s -32s=
1m 28s
He was 1 minute 28 seconds faster.
Feel free to ask for more if needed or if you did not understand something.
Feel free to ask for more if needed or if you did not understand something.
Un naipe inglés consta de 52 cartas repartidas en cuatro pintas distintas, de las cuales dos son rojas (corazón y diamante) y dos son negras (pique y trébol). Cada pinta consta de 3 figuras: rey (K), dama (Q), caballero (J) y de 10 cartas numeradas desde 1 (as) a 10, entonces, la probabilidad de obtener un "AS" de las 52 cartas de una baraja inglesa es:
Answer: P = 4/52 = 0.077 or 7.7%
Step-by-step explanation:
I will answer in English.
We have a deck of 52 cards, and we want to find the probability of drawing, at random, a 1.
We have 4 1's in the deck, one for spades, one for hearts, one for diamonds and one for clovers.
So the probability can be calculated as the quotient between the total number of 1's in the deck and the total number of cards in the deck, this is:
P = 4/52 = 0.077
I will give brainlest, please help me!
Answer:
Number of people: 5
Number of handshakes: 10
Number of people: 6
Number of handshakes: 15
Number of people: 7
Number of handshakes: 21
Number of people: n
Number of handshakes: (n * (n-1))/2
Step-by-step explanation:
(n * (n-1))/2
Use the equation above to solve for # of handshakes
What does the expression m2p ÷ 3 equal if m = 3 and p = 6.
Answer:
12
Step-by-step explanation:
3*2*6 = 36
36/3 = 12
A shirt costs $34. Sales tax is 6%. What is the total amount including tax
Answer:
the answer is $36.04
Step-by-step explanation:
34 dived into 100= 0.34 times 6 equals 2.04 34+2.04=36.04
100 Points
Easy question
Topic: Multiplying and dividing fractions
Answer:
see below
Step-by-step explanation:
The trip takes 2 hours
Stopping every half hour means stopping at 30 minutes, 1 hour, 1.5 hours
We would not stop at 2 hours because we would be done.
One the number line R means rest stops
200 Km /4 means at 50 km, 100 km 150 km and 200 km
The rest stops are at 50 km 100 km 150 km (the one at 200 is at the end of the trip so it is not a rest stop
We have to stop for gas 3/4 of the way
200 *3/4 = 150 km
We will stop for gas at a rest stop at 150 km
Answers and Step-by-step explanations:
(a)
We want to find where to stop, so let's calculate the distances between the different rest points.
This is a distance-rate-time problem, so we need to use the equation d = rt, where d is the distance, r is the rate, and t is the time. Here, d = 200 km and t = 2 hours. So:
200 = r * 2
r = 100
Your speed is 100 km/hr. Now, you plan on stopping every half hour. We know that you drive 100 km in 1 hour, so that means you drive 100/2 = 50 km in half an hour. So, we want to draw a number line where every 50 km, there's a rest stop (red on attachment).
See attachment.
(b) We need to get gas at Fort MacLeod, which is 3/4 of the way to Lethbridge. The total distance is 200 km, so 3/4 of that will be:
(3/4) * 200 = 600 / 4 = 150 km
So, mark the place that is 150 km (blue on attachment).
See attachment.
Note that the green simply represents your entire trip from Calgary (start) to Lethbridge (end).
which polynomial is prime
Answer:
C i think
Step-by-step explanation:
helppp plzzz idk I need help
Answer:
The correct answer is y.
Step-by-step explanation:
hope it works out !!
A small theater had 6 rows of 23 chairs each. An extra 8 chairs have just been brought in. How many chairs are in the theater now?
Answer:
146
Step-by-step explanation:
6 * 23 = 138
138 + 8 = 146
Answer:
146
Step-by-step explanation:
6x23 = 138
138+8= 148
How many whole numbers are less than n+1?
Thx
Answer:
[tex]n[/tex]
Step-by-step explanation:
The expression [tex]n+1[/tex] represents infinite numbers, because [tex]n[/tex] can be all positive numbers, all negative numbers, or can be an element of the whole number field.
So, generally speaking, the numbers less than [tex]n+1[/tex] are [tex]n[/tex], because [tex]n<n+1[/tex].
Therefore, an expression less than the given one is [tex]n[/tex]
Answer:
n+1
Step-by-step explanation:
Kajal holds a ruler in some wavy water. The depth of the water t seconds after she starts measuring it, in cm, is given by D(t)=50−23sin(π(t+0.23)) . After she starts measuring, when is the first time the depth of the waves is at its average value? Give an exact answer.
Answer:
t = 0.77
Step-by-step explanation:
D(t) = 50 - 23 sin(π(t + 0.23))
The value of the sine function has a maximum of -1 and a minimum of 1.
The average value of the sine function is 0.
At maximum sine value:
D(t) = 50 - 23(1) = 50 - 23 = 27
At minimum sine value:
D(t) = 50 - 23(-1) = 50 + 23 = 73
At average sine value of 0:
D(t) = 50 - 23(0) = 50 - 0 = 50
The average depth of the waves is 50 cm.
Now we need to find at what time, t, that occurs.
D(t) = 50 - 23 sin(π(t + 0.23)) = 50
50 - 23 sin(π(t + 0.23)) = 50
-23 sin(π(t + 0.23)) = 0
sin(π(t + 0.23)) = 0
The value of the sine is 0 at 0, π, 2π, ..., nπ
π(t + 0.23) = nπ
t + 0.23 = n
t = n - 0.23
n is all integers, but here we are concerned with the first occurrence after time equals zero, so we want n = 1.
t = 1 - 0.23
t = 0.77
Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .
Answer:
We divided the figure in picture into 1 triangle and 2 rectangles.
Adding up the area of them, we get the total area:
A = area of triangle + area of 2 rectangles
= base x height/2 + length1 x width1 + length2 x width2
= 13 x (4 + 13 + 8 - 12)/2 + 11 x 8 + 3 x 13
= 211.5
Hope this helps!
:)
The sum of two numbers is 41. The larger number is one less than twice the smaller number. Find the numbers.
plz help
Answer:
14 and 17
Step-by-step explanation:
x+y=41
y=2x-1
x+(2x-1)=41
3x-1=41
3x=42
x=14
y=2(14)-1=27
Step-by-step explanation:
Step 1: Make a system of equation
The sum of two numbers is 41
x + y = 41
The larger number is one less than twice the smaller number.
x = 2y - 1
Step 2: Substitute x from the second equation into the first
[tex]x + y = 41[/tex]
[tex](2y - 1) + y = 41[/tex]
[tex]3y - 1+ 1 = 41 + 1[/tex]
[tex]3y/3 = 42 / 3[/tex]
[tex]y = 14[/tex]
Step 3: Substitute y into the second equation
[tex]x = 2y - 1[/tex]
[tex]x = 2(14) - 1[/tex]
[tex]x = 28 - 1[/tex]
[tex]x = 27[/tex]
Answer: [tex]x = 27, y = 14[/tex]
Math question, help? (Click on photo to zoom in) Thank you.
Answer:
the third one
Step-by-step explanation:
The radius of a circular baking tray is 6 cm. Find its area correct to 2 decimal places. Use the π button on your calculator for π in your calculations.
Answer:
[tex]A \approx 113.10cm^2[/tex]
Step-by-step explanation:
The circle is a flat surface or area limited or closed by a circumference. It is a two-dimensional figure and is formed by making a curve where it will always have the same distance to the center. Its area can be calculated using the following formula:
[tex]A=\pi r^2\\\\Where:\\\\r=radius[/tex]
Therefore the area of the circular baking tray is:
[tex]A=\pi (6)^2=\pi*36=36 \pi=113.0973355\approx 113.10 cm^2[/tex]
How many solutions does this equation have?
–5n = 2 − 6n
Answer:
One solution
Step-by-step explanation:
–5n = 2 − 6n
–5n +6n = 2 − 6n + 6n (Addition Property of Equality)
n = 2
There is one solution to this equation. The value of 'n' is 2.
Answer:
n = 2 thus 1 solution
Step-by-step explanation:
Solve for n:
-5 n = 2 - 6 n
Add 6 n to both sides:
6 n - 5 n = (6 n - 6 n) + 2
6 n - 6 n = 0:
6 n - 5 n = 2
6 n - 5 n = n:
Answer: n = 2
Determine what type of model best fits the given situation:
The membership of the local PTA increases by 3 members a day for each day during the month of September.
A. exponential
B. quadratic
C. none of these
D. linear
A group of friends were working on a student film that had a budget of $500. They used $225 of their budget on costumes. What percentage of their total budget did they spend on costumes?
Answer:
45%
Step-by-step explanation:
divide $225 by $500
Answer: 45
Step-by-step explanation:
divide 225 with 500
Willow Boulevard intersects Main Street at a 71° angle, as shown in the diagram below. What is the measure of angle x ? Explain how you determined your answer.
Answer:
Angle x + 71 degrees = 180
x = 109 degrees
Step-by-step explanation:
Simplify 15x to the second over 9x
A) - x over 5
B) 5x over 3
C) - 5 over x
D) -2x
Answer:
B
Step-by-step explanation:
We want to simplify [tex]\frac{15x^{2} }{9x}[/tex]. The numerator and denominator both have a common factor of 3x, and when we simplify by 3x, we get 5x/3, or B.
Complete question 1.
Answer:
multiply by the reciprocal!
so if you have 1/(2/5) it is the same as 1 * (5/2)
Help! An empty cup in the shape of a cylinder (pictured below) is being filled with water.
Answer:
( About ) 90%
Step-by-step explanation:
We are given the table below;
Number of seconds | Amount of water
0 | 0
3 | 75
6 | 150
Now from this table we see that the rate change is that for every 3 seconds of difference, the amount of water increases by 75 cm^3;
If that is so, the amount of water after 7 seconds is 150 + ( 75 / 3 ), provided the difference in seconds between 6 and 7 is 1 / 3rd that of the difference between 0 and 3, or 3 and 6;
150 + ( 75 / 3 ),
150 + 25,
175 cm^3
Now let us compute the total volume of this cylinder, as such;
πr^2 * height,
π * ( 3 )^2 * 7,
9 * π * 7,
Volume of can ⇒ 197.82 cm^3
175 / 197.82 = 0.9 = Solution; 90%
Answer:
208
Step-by-step explanation:
calculator plus had the same question before
what is 9/5 as a decimal?
Answer:
it is 1.8 im sure thats the answer
Step-by-step explanation:
Answer:1.8
Step-by-step explanation:
The cone and the cylinder below have equal surface area.
3r
27
PLSSSSSS HELPPPP MEEE WITHH THISS QUESTION ASAP NO GUESSING AND ANSWER CORRECTLY!!!!!!
Which of the following can be used to describe the crowds who attended Jackson's inauguration ceremony?
A. very crowded
B. violent
C. rowdy
D. not crowded
WILL BE MARKING BRAINIEST!!!!! SO PLEASEE SHOW, EXPLAIN, AND PUT EFFORT PLSSSSSSS!!!!!!
Answer:
A
Step-by-step explanation:
Answer: C-rowdy
- Rowdy is being noisy and the question is asking you to describe Jackson's crowds who attended the ceremony.
ANSWER PLEASE FINAL DUE IN 3 HOURS
Suppose a normal distribution has a mean of 120 and a standard deviation of 10. What is P(x ≥ 130)?
A.
0.475
B.
0.84
C.
0.16
D.
0.975
Answer:
B
Step-by-step explanation:
First thing to do here is to calculate the z-score
Mathematically;
z-score = (x-mean)/SD
here, x = 130, mean = 120 and SD = 10
Substituting these values
z-score = (130-120)/10 = 10/10 = 1
So the probability we want to calculate is;
P(z ≥ 1) = 1 - P(z <1)
From standard score table, P(z <1) = 0.15866
P(z ≥ 1) = 1-0.15866 = 0.84134
Answer:
0.16
Step-by-step explanation:
Determine the value of the power 1^5
Determine the value of the power 4^7
Determine the value of the power 3^10
WHICH OF THESE DO NOT DESCRIBE THE NUMBER 1024
A: 4^5
B: 32^2
C: 2^9
D: 1024^1
Finally, how would you convince someone that x^3 could be a lot more than x^2 but could it also be the only a little more than or even the same as x^2?
1^5 is 1
4^7 is 16384
3^10 is 59049
The answer is C
Answer:
a) 1^5 = 1
b) 4^7 = 16384
c) 3^10 = 59049
C: 2^9 ≠ 1024
The exponent 8² = 64 while 8³ = 512, but 2² = 4 while 2³ = 8.
Step-by-step explanation:
Not much explanation but hope this helps!
What is x???????need help
Answer:
100 degrees
Step-by-step explanation:
The angle x is opposite the angle that is 100 degrees.
Since they are opposite each other, they are vertical angles.
This means that they are congruent, or equal to each other.
Therefore,
x=100
x is 100 degrees
The drama club is holding auditions for 5 different parts in a one-act play. If 9 people audition, how many ways can the roles be assigned?
A. 362,880
B. 15,129
C. 126
D. 120
Answer:
It is B, I got it right on edman!
Step-by-step explanation:
The correct ways can the roles be assigned is 84 ways.
To find ways can the roles be assigned.
What is combination?A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter.
Given That:
Total individuals = 9
Available roles = 5
First, it'll be assumed that no two individual shares a role and no single individual takes two roles.
Having said this, the number of ways the roles can be assigned can be calculated using the combination formula as follows.
ⁿCr = C(n,r)
Where n represents the total individuals
n = 9
r represents the available roles
r = 5
So,
ⁿCr = C(n,r)
⁹C₆ = C(9,6)
⁹C₆= 9!/((9-6)!*6!)
⁹C₆ = 9!/(3!*6!)
⁹C₆ = (9 * 8 * 7 * 6!)/(6! * 3 * 2 * 1)
⁹C₆ = (9 * 8 * 7)/(3 * 2 * 1)
⁹C₆ = 504/6
⁹C₆ = 84
Hence, 9 roles can be assigned to 5 people in 84 ways.
Learn more about combination here:
https://brainly.com/question/16705925
#SPJ5
The missing option is
E. 84
What is the difference?