Given:
The initial value of car = £2,200
Depreciation rate = 0.5%
To find:
The worth of car after 6 years.
Solution:
Exponential decay model:
[tex]y=a(1-r)^t[/tex]
Where, a is the initial value, r is the rate of depreciation and t is number of years.
Putting a=2200, r=0.005 and t=6, we get
[tex]y=2200(1-0.005)^6[/tex]
[tex]y=2200(0.995)^6[/tex]
[tex]y=2200(0.9703725)[/tex]
[tex]y=2134.8195[/tex]
[tex]y\approx 2134.82[/tex]
Therefore, the worth of the car after 6 years is £2134.82.
What is 9/7 divided by 3/4?
Answer:
12/7 or E
Step-by-step explanation:
Answer: 1 5/7
Step-by-step explanation:
For positive acute angles A and B it is known that sinA= 35/37 and tanB= 7/24. find the value of (A-B)
Answer:
54.8° to the nearest tenth of a degree
Step-by-step explanation:
m∠A = arcsin 35/37 = 71.075...
m∠B = arctan 7/24 = 16.2602...
m∠A - m∠B = 71.075 - 16.260 = 54.8° to the nearest tenth of a degree
I have a big test coming up and i nedd help with this question please :)
Answer:
the answer is 7/10
Step-by-step explanation:
Question 3
Simplify the expression by combining like terms
Expression: 8y + 14x - 7y2 - 15x + 3y
Like Terms: I
Simplified Expression:
Answer:
-7y^2-x+11y
Step-by-step explanation:
A car travels 80 millimetres in 2 1/2 hours . What is it speed in kilometres per hour
Answer:
32 Kilometers
Step-by-step explanation:
A Car travels 80 Kilometers in 2 and Half hours.
1 Hour =60 minutes, 2 & Half hours= 2.5*60= 150 minutes
Kilometers travelled by Car in a hour= 80/150*60= 32 Kilometers
Answer question from the images below Ig..
Answer:
AC, CB
Step-by-step explanation:
A segment needs two endpoints. The third answer is the only one that can contain two segments, other answers contain single points.
If Jessica split 75 pencils between 8 people in her class and kept the leftovers, how many pencils did each classmate get?
Answer: Each classmate got 9 pencils
Step-by-step explanation: if you divide 8 from 75, you get 9 pencils for each classmate and 3 for Jessica to keep.
reciprocal of 6
reciprocal of 13
reciprocal of 1/2
Answer:
Step by step explanation
6= 6/1
Reciprocal= 1/6
13= 13/1
Reciprocal= 1/13
1/2
Reciprocal= 2/1
Answer:
For 6 it is 1/6 for 13 it is 1/13 and for 1/2 it is 2
Step-by-step explanation:
I need help with #2 help if u can
Answer:
Step-by-step explanation:
G
Find the perimeter of the figure below. Notice that one side length is not given.
Assume that all intersecting sides meet at right angles.
Be sure to include the correct unit in your answer.
Answer:
58cm
Step-by-step explanation:
15+14+5+8+6=48
missing side = 15-5 =10
48+10=58
Systems of equations with different slopes and different y-intercepts have one solution.
Never
Sometimes
Always
Answer:
never
Step-by-step explanation:
Find the area of the figure. (Sides meet at right angles.)
Answer: 37ft^2
Step-by-step explanation:
Create two separate figures. A full square 3x3 and a rectangle 7x4.
The 7ft line on the right minus 3 ft (because we are cutting out that section of the figure) = 4ft
Area of 3x3 square = 3^2 = 9ft^2
Area of 7x4 rectangle = 7x4 = 28ft^2
28+9= 37ft^2
find the diameter of the circular garden whose circumference is 124.03 cm
Answer:
[tex] \color{magenta} \huge{ \boxed{answer}}[/tex]
Solve for diameterd = 39.48hopefully help:)
Step-by-step explanation:
✨use #CarryOnLearning to help our medical frontliners✨
#CarryOnLearningPlot the points (-3,-4) and (6,-4) on the coordinate plane below.
What is the distance between these two points?
units
y
9-
8
7
6-
4-
3-
2-
11
H
{}
-9-8-7-6-5-4-3-2
1 2 3 4 5 6 7 8 9
-34
14
-5-
-6-
-7-
18
Answer:
d = 9
Step-by-step explanation:
Distance formula:
d=√((x_2-x_1)²+(y_2-y_1)²)
Your ordered pairs (-3, -4) and (6, -4)
d=√((6-(-3))²+(-4-(-4))²)
d=√((6+3))²+(-4+4))²)
d=√((9)²+(0)²)
d = √81
d = 9
Ashley is deciding between two jobs.
Job A pays $2000 a month with a
monthly raise of $85. Job B pays $2000
a month with a monthly raise of 4%.
a. Write a function to represent the
monthly salary for job B.
Answer:
job A because 4% of 2000 is 80 and job A is 5 dollars extra
Caleb has driven 820 miles of his road trip. He has 20% of his trip left to go. How many miles does he have left to go? Need asp
Triangle MAT is isosceles, angle A is the vertex angle, AT = 8x-3, MT = 2x+3 and MA=5x+15. Find the value of x and the indicated measures.
Please solve step by step to help me understand. Thanks!
Answer:
x=6, AT=45, MT=15, MA=45
Step-by-step explanation:
Because it is isosceles, MA=AT, so 8x-3=5x+15, solve for x and then plug it into the equations.
If a rectangular garden is 6 feet long and 4 feet wide and there are 10 vegetables planted; what is the density of vegetable plants in the garden?
a. 1.61 vegetable plants per square foot.
b. 2.53 vegetable plants per square foot.
c. 2.40 vegetable plants per square foot.
d. 0.42 vegetable plants per square foot.
Answer:its D
Step-by-step explanation:
took the test
What is 600 divided by 70?
Answer:
8.5714285714
Step-by-step explanation:
round as you must
Answer:
8.571
Step-by-step explanation:
600/70
= 60/7 (cancel the zeroes)
= 8.571
Can you please help me?
Answer:
[tex]\frac{20}{36}[/tex]
Step-by-step explanation:
the total amount of squares within this square is 36
and the number of shaded squares would be 20
so if 20 squares out of 36 squares are shaded, then the fraction is
[tex]\frac{20}{36}[/tex]
or 55.56%
(to find percentage multiply [tex]\frac{20}{36}[/tex] by 100)
Answer:
5/9
= 55.56% ( to the nearest hundredth).
Step-by-step explanation:
The total number of little squares in the large square = 6*6 = 36.
Total number of shaded squares = 2*6 + 2*4
= 12 + 8 = 20.
So the fraction of shaded part
= 20/36
= 5/9.
As a percentage this is 5*100/9
= 55 5/9%
= 55.55..... %
Can someone please help? I'll mark brainliest! :)
Answer:
D
Step-by-step explanation:
[tex]8x - 2 < - 4(x - 1) \\ 8x - 2 < - 4x + 4 \\ 8x + 4x < 4 + 2 \\ 12x < 6 \\ x < \frac{1}{2} [/tex]
Which set of ordered pairs represents y as a function of x?
A (0, 0), { (−1, 2), (−1, −2), (−2, 4), (−2, −4)}
B {(0, 0), (1, 1), (2, 4), (3, 9), (3, 16)}
C {(0, 0), (0, 1), (0, 2), (0, −1), (0, −2)}
D {(0, 0), (−1, −0.5), (−2, −1), (−3, −1.5), (−4, −2)}
Answer:
The answer to the question would be D
Sarah has been running a dog-walking business since 2010. She walks dogs twice a day, takes them to the park, and returns them to their homes. Each year, she has increased her fee by the same amount. The table shows what Sarah charged each customer for two given years of her business:
Year Annual Dog-walking Fee
2010 $350
2014 $750
A. What is the rate of change and initial value for Sarah’s business? How do you know?
B. Write an equation in slope-intercept form to represent the fees that Sarah charges each year.
Answer:
Step-by-step explanation:
A. The Initial value is the starting value of her business which can be considered $350 since that is what she made the first year. The Slope can be calculated by subtracting the end profit from the initial profit and then dividing by the result of subtracting the end year by the initial year like so...
$350 initial value
[tex]\frac{750 - 350}{2014 - 2010} = \frac{400}{4} = \frac{100}{1 year} =[/tex] $100 a year increase
B. The equation for this scenario would be y = 100x + 350
Answer:
100 each year and y=100x+350
Step-by-step explanation:
When you cut a pyramid straight up and down, what shape is your cross section?
Answer:
The cross section of a pyramid that is perpendicular to the base will be a triangle.
Step-by-step explanation:
h6lppppppndue in 45 min
Answer: 6:5 ; 18:15 ; 36:30
Step-by-step explanation:
6/5 = x/15
5x = 6(15) use cross multiply
5x = 90
x = 18
6/5 = 36/x
6x = 5(36) use cross multiply
6x = 180
x = 30
Answer:
Answer below
Step-by-step explanation:
For every 6 taxis, there are 5 busses
if there are 15 busses, thats 3 sets of 5
6x3 is 18. so for every 15 busses, there are 18 taxis
If there are 36 taxis, thats 6 sets of 6
since there are 5 busses for every 5 taxis
5x6 is 40
for every 30 busses, there are 36 taxis
Help please I don’t know it
Answer:
Step-by-step explanation:
sinC = 12/13
cosA = 12/13
Which side in WXYZ corresponds to OP in MNOP
A. XW
B. XY
C. YZ
D. MN
Answer:
Y and Z because just move the shape side ways and u can find the corresponding side.
Help me I have time plz!!
Answer:
D
Step-by-step explanation:
Help- giving brainliest
Answer:
The relationship is *11
Step-by-step explanation:
any number times eleven will be a double of itself
for example:
2*11=22
5*11=55
4*11=44
and so on
Find the volume: 65yd 4 yd 13 yd
Answer:
3380yd
Step-by-step explanation:
65x13x4