Answer:
27
Step-by-step explanation:
4/3b=25+11, 4/3b=36,b = 36*3/4 so b = 27
a car with an initial value of $23,00 is decreasing in value at a rate of 8% each year. Write a function, f(x), that expresses the value of the car in x years
Step-by-step explanation:
We would apply the formula for exponential decay which is expressed as
A = P(1 - r/n)^ nt
Where
A represents the value after t years.
n represents the period for which the decrease in value is calculated
t represents the number of years.
P represents the value population.
r represents rate of decrease.
From the information given,
P = 23000
r = 8% = 8/100 = 0.08
n = 1
Therefore, the exponential decay function described in this situation is
A = 23000(1 - 0.08/n)1)^ 1 × t
A = 23000(0.92)^t
If A = 15000, then
15000 = 23000(0.92)^t
0.92^t = 15000/23000 = 0.6522
Taking log of both sides to base 10
Log 0.92^t = log 0.6522
tlog 0.92 = log 0.6522
- 0.036t = - 0.1856
t = - 0.1856/- 0.036
t = 5 years to the nearest year
Guided Practice
Find the slope and y-intercept of the equation.y=[tex]\frac{2}{3}[/tex]x+1
A.
1 ; [tex]\frac{2}{3}[/tex]
B.
23; 1
C.
23; −1
Answer: B. 2/3; 1
Use the slope-intercept form y = m x + b to find the slope m and y-intercept b .
Slope:
(2) /(3)
y-intercept:
( 0 , 1 )
Step-by-step explanation:
Find the slope and y-intercept of the equation. y = (2)/(3)x + 1
Find the Slope and y-intercept
what is -8g=240 using one step equation
Answer:
30
Step-by-step explanation:
You have 23 questions and each questions takes 2 minutes and two weeks to complete what is the longest time you have to finish it
Answer:
46 minutes
Step-by-step explanation:
Number of questions = 23
Time taken per question = 2 minutes
The longest time available to finish all questions :
Longest time will be ; if one spends all two minutes on each question ;
Then ;
Longest time = number of question * maximum time per question
Longest time = 23 * 2 = 46 minutes
1. Use a ratio box to solve this problem. Tammy saved nickels and
pennies in a jar. The ratio of nickels to pennies was 2 to 5. If there were
70 nickels in the jar, how many coins were there in all?
Answer:
245
Step-by-step explanation:
let 'c' = total coins
2/7 = 70/c
2c = 490
c = 245
Solve |3x + 9| + 6 = 6
A) x = 3
B) No solutions
C) x = –3
D) x = 3 or x = –3
Answer:
D
Step-by-step explanation:
3x+9+6=6
step 1 combine like terms
9+6=15
now we have
3x+15=6
step 2 subtract each side by 15
15-15 cancels out
6-15=-9
now we have
3x=-9
step 3 divide each side by 3
3/3 cancels out
-9/3=-3
x=-3
The reason it can also be -3 is because I I means absolute value and the absolute value of negative 3 is positive 3
Have a great day :D
Find the area of the circle. Round your answer to the nearest tenth. Use 3.14. The radius is 9
Answer:
28.26
Step-by-step explanation:
i wasnt sure what it was the the nearest tenth im really really sorry but i hope that helps
Find the midpoint between the two points: (-7, 9) and (5, -1).
(4,5)
(3, 4)
(-1,4)
(5,5)
Can someone help me fill in the table
Answer:
1/125, 1/5, 1, 5, 25, 125
What do I do I don’t know the answer
Answer:
B) 114.511m^3
Step-by-step explanation:
Formula of a cylinder is πr^2 x h
r = radius (half of diameter)
h = height
Since it is 3/4 full you only do 3/4 of the height so- 0.75 x 9.60 which equals 7.2
Half of the diameter is 2.25. 2.25^2 = 5.0625.
The volume of the cylinder = 5.0625π x 7.2
By solving this, you will get approximately 114.511 m^3 as your answer.
what is the mean median mode range of 3,14,7,12,4,9,16,4,8,20
First, order the number set from least to greatest:
3 , 4 , 4 , 7 , 8 , 9 , 12 , 14 , 16 , 20
Mean: You find the mean by combining all the terms, and dividing by the amount of the terms there are in the number set:
(3 + 4 + 4 + 7 + 8 + 9 + 12 + 14 + 16 + 20)/10
(97)/10 = 9.7
Mean: 9.7
Median: You find the median by first ordering the number set from least to greatest, and finding the middle number. Note that if there is a even number of numbers in the set, you find the mean with the two given median digits:
8 & 9 are the median numbers:
(8 + 9)/2 = (17)/2 = 8.5
Median: 8.5
Mode: The mode is the number(s) in the set that shows up the most:
Mode: 4 (shows up one more time than all other numbers)
Range: The range can be found by subtracting the least number from the greatest number in the number set:
Range: 20 - 3 = 17
Range: 17
~
True or False: (2,3) is a solution for both of the following equations:
y=2x+1 and y-3x=4
2.6 in.
3 in. +
6 in.
Answer:
11.6 in
Step-by-step explanation:
2.6 + 3 = 5.6
5.6 + 6 = 11.6
answer = 11.6 in
Caitlin drew a circle and labeled the circle S. The diameter of Caitlin’s circle is 12 m. Which of the following best represents the area of Caitlin’s circle?
A. 452 m^2
B. 38 m^2
C. 113 m^2
D. 75 m^2
Answer:
C
Step-by-step explanation:
Radius: 12 / 2 = 6 m
Area: 6^2 x pi = 113 m^2
Answer:
c
Step-by-step explanation:
area = π · r²
to change the diameter to radius you just divide by 2
12/2=6 so the radius is 6
then we just plug 6 into r for the circle are formula
6²=36
36x3.14=113.04 so her best answer choice is c
Of a total of 6,000.00, part was invested at a simple interest rate of 8% and part at 7% if the total interest income for one year was $46.00, how many was invested at 7%
Answer: Ok so first 0.05(6000 - x) + 0.07x = 372
300 - 0.05x + 0.07x = 372
300 + 0.02x = 372
0.02x = 72
x = 3600
He invested $3600 at 7% and $2400 at 5%.
Hope this helps have a bless day❤️Step-by-step explanation:
Answer:
Step-by-step explanation:
I think you had a typo where interest should be 460 not 46 because even if the whole 6000 were invested at 7% he would have earned $420 in interest. Also if total investment was switched from 6000 to 600 the 46 in interest would work.
.07x+.08(6000-x)=460
.07x-.08x+480=460
-.01x+480=460
-.01x=-20
x=$2000
which is easy enough to check
2000(.07)+4000(.08)=$460
Determine if the triangles are congruent. If they are, state why.
Darunt by SA
ITS DUE AT 5PM PLEASE I NEED TO GET IT DONE WAY BEFORE. HELP!!
6 millones restado 300¿
Step-by-step explanation:
6,000,000-300=5,999,700
Answer:
5,999,700 millones
Step-by-step explanation:
Resta 6 ,millones a 300
please help if you can!
Given:
The figure of a triangle DEF.
To find:
The coordinate of image of given triangle after reflection over y-axis.
Solution:
The vertices of given triangle are D(1,4), E(4,3), F(2,0).
If a figure is reflected over the y-axis, then the rule of reflection is
[tex](x,y)\to (-x,y)[/tex]
Using this rule, we get
[tex]D(1,4)\to D'(-1,4)[/tex]
[tex]E(4,3)\to E'(-4,3)[/tex]
[tex]F(2,0)\to F'(-2,0)[/tex]
Therefore, the coordinates of image are D'(-1,4), E'(-4,3) and F'(-2,0).
El costo total en pesos para producir calcomanías,es el monto del alquiler del local más 1.5 veces el número de calcomanías producidas por día
Answer:
.......................................................
I need this fast!! Sam scores 4 goals per game. What is the rate unit of this rate?
A. games
B. goals per game
C. 4
D. goals
Answer:
B: goals per game
Step-by-step explanation:
She will atleast score 4 goals per game
joseph saves 30% of his allowace each week. if he saves 24$ in 5 weeks. how much allowance does joseph recieve in each week
Answer:
$24/5 weeks = $4.80 saved per week.
$4.80 is 30% of what number?.....
4.8=0.3*X....... 4.8/0.3=X ........X=16
So, Joseph receives $16 per week.
Step-by-step explanation:
Subtract. Write your answer as a fraction in simplest form. 3/8−(−1/8)=
Answer:
1/2
Step-by-step explanation:
3/8 + 1/8=
4/8=
1/2
2.
The rate of change is constant in the graph. Find the rate of change. Explain what the rate of change means for the situation.
A. –3; value drops $3 every year.
B. –1; value drops $1 every year.
C. [tex]-\frac{100}{3}[/tex]; value drops $100 every 3 years.
D. –100; value drops $100 every year.
Answer:
you take 2 points on the graph
(3,300) and (6,200)
and then you do y2 -y1
x2-x1
you plug in the values
200-300
6-3 = -(100)/(3)
every 3 years the resale of a refrigerator decreases by 100 dollars.
its basically the rate that the price goes down for resale value of a refrigerator
Step-by-step explanation:
Let's take the points displayed on this graph:
(300, 3) (200, 6) and (100, 9).
Our first value in the points represents the amount of money for the resale value of a refrigerator, and the second value represents the number of years after the original purchase. So, as we can see, as the years increase, the value goes down $100 dollars every three years.
3 years after original purchase: $300
Increase years by three, value goes down by $100
6 years after original purchase: $200
The rate of change in this situation means that for every resale three years after the original purchase, the value will decrease by $100.
which figure could be the result of dilation the trapezoid with a scale factor between 0 and 1
Answer:
1
Step-by-step explanation:
Determine if each statement is true or false. Explain your answer. A square is a specific type of parallelogram.
Answer:
false.
Step-by-step explanation:
a square is a quadrilateral with all right angles and all equal sides.
Find the missing values in the ratio table. Then write the equivalent ratios. (pls help me fill out the rest!)
Step-by-step explanation:
[tex] \frac{6}{2} = \frac{3}{1 } = \frac{12}{4} = \frac{15}{5} \\ [/tex]
10 x 10 +100 – 1000 = X
Answer:-800
Step-by-step explanation: 10 times 10 is 100 plus another 100 is 200-1000 is -800 which is x
Answer:
-800
Step-by-step explanation:
since you need to mutiply first,
10 x 10 + 100 - 1000 = X
100 + 100 - 1000 = X
200 - 1000 = X
-800 = X
hope it helps!!!
On Monday, snow fell at a rate of 2.8 inches per hour.
Write an equation to show the relationship between the number of hours, h, and Monday's total snowfall, s.
Answer:
s = 2.8h
Step-by-step explanation:
Answer:
s = 2.8h
Step-by-step explanation:
2.8 inches of snow : 1 hour
Total snowfall = 2.8 × number of hours
2.8 × h = s
2.8h = s
Can someone pls help?
Answer: 2
Step-by-step explanation:
Because if u divide 12÷6=2 2×6=12
Answer: [tex]x=6\sqrt{3}[/tex]
Step-by-step explanation:
[tex]x=\sqrt{12^{2}-6^{2} } =\sqrt{144-36} =\sqrt{108} =6\sqrt{3}[/tex]
Convert the angle 0=17pie/18 radians to degrees.
Express your answer exactly.