Answer:
V = 450 + 0.025t
Step-by-step explanation:
What we know is that Marilyn purchases a doll for $450 dollars, and the value will increase by 2.5% each year. Now that we know this, this means we need an addition equation. We know 450 is being add to the 2.5% increase so the equation is V = 450 + 0.025t. (I put 2.5% as a decimal (0.025))
The equation that determines the value, V, of the doll (t) after purchase is [tex]V = 450 ({1.025}{} )^{t}[/tex]
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
What is compound interest?Compound interest is an interest accumulated on the principal and interest together over a given time period. The compound interest is calculated, after calculating the total amount over a period of time, based on the rate of interest, and the initial principal.
Formula of Compound Interest
[tex]A = P (1+\frac{r}{100} )^{n}[/tex]
Where,
A = Final amount
P = Initial principal
r = Rate per annum
n = Time in years
According to the question
Marilyn purchases a doll for = $450
i.e, Initial Principal (P) = $450
Doll's value will increase each year by = 2.5%
i.e, Rate per annum = 2.5%
Value (V) of the doll after purchase = Final amount (A)
(t) = Time in years (n)
Now, Formula of compound interest
[tex]A = P (1+\frac{r}{100} )^{n}[/tex]
Substituting the values in formula
[tex]V = 450 (1+\frac{2.5}{100} )^{t}[/tex]
[tex]V = 450 (1+{0.025}{} )^{t}[/tex]
[tex]V = 450 ({1.025}{} )^{t}[/tex].
Hence, equation that determines the value, V, of the doll (t) after purchase is [tex]V = 450 ({1.025}{} )^{t}[/tex]
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Can anyone solve this please , I suck at geometry
Answer:
(b). 27
Step-by-step explanation:
The sum of exterior angles of any polygon is 360°
2x° +56° + 4x° + 57° + 85° = 360°
6x° + 198° = 360°
6x° = 360° - 198°
6x° = 162°
x = 27
(17x - 23)
(8x - 4)
-(3x + 17)
Find the value of x.
0 A 6
B 79
O C 44
OD 7
Answer:
B
Step-by-step explanation:
Hope this Helped! Please tell me if I'm wrong!
Answer:A
Step-by-step explanation:
What percentage of each shape is shaded?
guys someone help please
which of the following represents the average rate of change of the function f(x) = 2x - 3
Average rate of change, Correct Answer is (0,-3)
Elena starts to walk home from school, but has to turn around and go back because she left
something in her locker. On her way back home (the second time), she runs into her friend
who invites her to the library to do homework with her. She stays at the library and then
heads home to do her chores. Determine:
.
Which graph fits Elena's story.
.
What the two quantities are.
.
Which quantity is a function of which.
Answer:
the first one
Step-by-step explanation:
Tickets to a movie cost $5 for adults and $3 for students. A group of friends purchased 18
tickets for $82.00. How many adults ticket did they buy?
Write an equation
What is the simplest form of the radical expression 8?
Helppppp I’ll mark you brainlist
Answer:
-243
Step-by-step explanation:
Since your finding the 36th term and you know the equation plugin 36(as n) into the arithmetic sequence.
-7(36)+9 = -243
The area of a rectangle is 56 square yards. Its length is 2 yards more than three times its width. Find its dimensions
The width is 4 and length is 14 yards
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
Area of rectangle= 56 square yards.
let the width be x.
So, length = 3x+ 2
So, Area of rectangle= 56 square yards.
length x width = 56
x(3x+2 )= 56
3x² + 2x -56= 0
3x² + -56= 0
3x( x - 4 ) + 14 ( x - 4) = 0
(3x+ 14) (x- 4) = 0
x= 4, -14/3
Hence, the width is 4 and length is 14 yards.
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8.
Solve for x, then find the measure of the angle given:
Show all work!
5x
N
M
50)
(3x
m 2MPQ
Answer:
x = 25
[tex] m\angle \: MPQ = 125 \degree [/tex]
Step-by-step explanation:
[tex]5x \degree = (3x + 50) \degree \\(corresponding \:\angle s) \\\\ 5x = 3x + 50 \\ \\ 5x - 3x = 50 \\ \\ 2x = 50 \\ \\ x = \frac{50}{2} \\ \\ x = 25 \\ \\ m\angle MPQ = (3x + 50) \degree \\ \\ m\angle MPQ = (3 \times 25 + 50) \degree \\ \\ m\angle \: MPQ = (75 + 50) \degree \\ \\ m\angle \: MPQ = 125 \degree \\ \\ [/tex]
what is 32$ and a 16% markup? what’s the price being sold at
Answer $37.12
Step-by-step explanation:
32 * 16% = 5.12
5.12+32= 37.12
PLEASE ANSWER FAST
What is the value of x in the equation 3x - 5= - 2 + 9 ?
1. Ina deposited $9,000 with a bank in a 10-year certificate of deposit yielding 5% compounded daily. Find the compound amount.
$12,771.18
$16,123.02
$14,837.98
$23,837.98
Answer:
14,837.98
Step-by-step explanation:
i just took a test and got it wrong with the answer the other person said , the test said this was the right answer :)
PLEASE I WILL GIVE YOU BRAINLIEST JUST HELP ME I LOVE YOUUUUUUUU
Answer:
x=30
Step-by-step explanation:
90+130+x+10+x+x+x=360
230+3x=360
3x=90
x=30
put the following equation of a line into slope intercept form, simplifying all fractions.
Answer:
16y
Step-by-step explanation:
The radius of a circle is?
These two plzz:) I RLLY NEeD HE:LP
Answer:
I think its A and B
Step-by-step explanation:
Hope this helps.
Answer:
10. p-0.2p
11. 0.2p
.........................
c. Write the inequality that is shown on the number line.
Answer:
-3< x ≤ 4
Step-by-step explanation:
There is an open circle at -3, so -3 is not included
There is a closed circle at 4, which means 4 is included
The line is between which means x is between
-3 is less than x which is less than or equal to 4
-3< x ≤ 4
This type of graph is called a segment.
To write the inequality, read the segment from left to right.
We would start with the endpoint on the left which is a -3,
our variable x would be in the middle, and we would finish
things off with the endpoint on the right, which is 4.
Since we have an open dot at -3, we use a less than
sign between the -3 and the x and since we have a closed at 4,
we use a less than or equal to sign between the x and 4.
When representing a segment by reading it from left to right,
you will only use less than or less than or equal to between the parts.
So the solution for the inequality is read {x: -3 < x ≤ 4}.
In a shipment of shirts to a clothing store, 2/5 of the shirts are blue and 3/10 of the shirts are red. If there are 20 shirts in the shipment, how many shirts are either blue or red?
Answer: 14
Step-by-step explanation:
Fraction of blue shirts = 2/5
Fraction of red shirts = 3/10
Number of shirts in the shipment = 20
The number of shirts that are either blue or red will be:
= (2/5 + 3/10) × 20
= (4/10 + 3/10) × 20
= 7/10 × 20
= 14
The number of shirts that are either blue or red is 14
right triangles and trigonmetry
Answer:
about them or u asked question
please do these asap
Answer:
1=5. 18= 2 35=-2. 52=-6
2=9. 19= 11. 36=-1. 53=6
3=6. 20= 18 37=-6. 54=-1
4=10. 21=12. 38=-3. 55=-3
5=10. 22=16. 39=-7. 56=1
6=13. 23=11. 40=-12. 57=-3
7=10. 24=10. 41=-8. 58=24
8=2. 25=20. 42=-1. 59=3
9=6. 26=5. 43=-5. 60=46
10=4. 27=17. 44=-5
11=10. 28=14. 45=-1
12=8. 29=31. 46=-6
13=8. 30=16. 47=-1
14=14. 31=-1. 48=-4
15=7. 32=-4. 49=-13
16=9. 33=-4. 50=-16
17=4. 34=-5. 51=8
Answer:
1. x = 5
2. x = 9
3. x = 6
4. x = 4
5. x = 2
6. x = 13
7. x = 4
8. x = 2
9. a = 6
10. d = 4
11. c = 4
12. y = 8
13. u = 8
14. p = 14
15. t = 7
16. x = 9
17. y = 4
18. g = 2
19. t = 11
20. x = 18
21. p = 12
22. k = 10
23. t = 11
24. h = 2
25. j = 10
26. x = 5
27. p = 11
28. r = 4
29. m = 13
30. k = 16
31. c = -1
32. y = -4
33. u = -4
34. p = -5
35. t = -2
36. x = -1
37. y = -6
38. g = -3
39. t = -7
40. x = -12
41. p = -8
42. k = -1
43. t = -5
44. h = -5
45. j = -5
46. x = -12
47. p = -11
48. r = -14
49. a = -31
50. k = -96
51. p = -8
52. k = -6
53. t = 6
54. h = 7
55. j = -3
56. x = -3
57. p = -13
58. r = 14
59. a = -7
60. k = -34
please brainliest this took forever
:)))
What is the absolute value of -62/3
Answer:
Step-by-step explanation:
The absolute value is 62/3
Find the common ratio r for the geometric sequence and use r to find the next three terms. Enter your answer to four decimal places if necessary. 100, -40, 16, -6.4, The Common Ratio The next three terms are
Answer: The next three terms =2.56, - 1.024 and 0.4096
Step-by-step explanation:
Common Ratio of a Geometric sequence, R is calculated as
=a2/a1 = -40/100=-0.4
or a3/a2=16/ -40 = -0.4
such that the next three terms are
5th term = -6.4 x -0.4=2.56
6th term= 2.56 x -0.4 =-1.024
7TH term= -1.024 x -0.4=0.4096
Joseph invested $6,700 in an account paying an interest rate of 5.2% compounded
quarterly. Assuming no deposits or withdrawals are made, how long would it take, to
the nearest year, for the value of the account to reach $13,950?
Answer:
it will take 14 years approximately
Step-by-step explanation:
To get this, we use the compound interest formula
We have this as:
A = P ( 1 + r/n)^nt
where ;
A is the amount after the stipulated time = 13,950
P
is the amount deposited = 6,700
r is the rate = 5.2% = 5.2/100 = 0.052
n is the number of times interest is compounded yearly = 4 (quarterly is every 3 months)
t is what we want to calculate
13,950 = 6,700 ( 1 + 0.052/4)^4t
2.082 = 1.013^4t
ln 2.082 = 4t ln 1.013
ln 2.082/ln 1.013 = 4t
56.78 = 4t
t = 56.78/4
t = 14 years
Answer:
14
Step-by-step explanation:
I got it right
would this be the right answer??
Answer:
no your answer is wrong. the answer is 15.6
Step-by-step explanation:
it is a 30-60-90 degree triangle and as per the property ..
the side opposite to 30 degree angle is half of hypotenuse( I. e half of 18 that is 9)
the side opposite to 60 degree angle is √3/2 the hypotenuse.
that is √3/2 * 18
that is √3 * 9
that is 1.73 multiplied by 9 .....(as value of √3 is 1.73)
that is 15.57
rounding it to the nearest tenth it becomes 15.6
answer is 15.6 not 20.1
Find the area of a circle with diameter 31.6 cm, both in terms of p and to the nearest tenth. Use 3.14 for p.
Your answer:
A = 249.64p cm2» 783.9 cm2
A = 63.2p cm2» 198.4 cm2
A = 31.6p cm2» 99.2 cm2
A = 998.56p cm2» 3135.5 cm2
Answer:
Option (1)
Step-by-step explanation:
Formula to get the area of a circle is given by,
Area = πr²
Here r = radius of the circle
Since, Radius of a circle = [tex]\frac{\text{Diameter}}{2}[/tex]
Therefore, Radius of the circle with diameter = 31.6 cm will be,
Radius = [tex]\frac{31.6}{2}[/tex]
= 15.8 cm
Now Area of the circle = π(15.8)²
= 249.64π cm²
= 783.87 cm²
≈ 783.9 cm²
Therefore, Option (1) will be the correct option.
1/4x -5=3/4x-12 show two different ways to solve
Answer:
In the two different ways we have solved the given equation as
Step-by-step explanation:
Given expression is
To simplify the given expression in two ways:
First way:
Given
Multiplying 3 on both sides
(adding the like terms)
Dividing by 3 on both sides
Therefore the given expression is solved that
Another way:
Given
(adding the like terms)
Therefore the given expression is solved that
In the two different ways we have solved the given equation as
In the past month, Kaitlin rented 1 video game and 4 DVDs. The rental price for the video game was $2.40 The rental price for each DVD was $3.70 What is the total amount that Kaitlin spent on video game and DVD rentals in the past month?
Answer:
$2.40 for the video game and $14.8 for the DVDs
Step-by-step explanation:
1 video game = $2.40
4 DVDs = $14.8
$3.70 x 4 = $14.8
need help pls and thank you :D
Answer:
1st blank : 11
2nd blank : 4
Step-by-step explanation:
11 x 7/11 x 4
What is the value of x in the triangle shown
A. 116
B. 57
C. 19
D. 123
Answer:
C. 19
Step-by-step explanation:
90+26=116
180-116=64
3x+7=64
3x=57
x=19