Using compound interest, it is found that Melanie would need to invest a value of $7,710.
What is compound interest?The amount of money earned, in compound interest, after t years, is given by:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
In this problem, we have that:
Rate of 3.1%, hence [tex]r = 0.031[/tex].Compounded daily, hence [tex]n = 365[/tex].Value of $11,900 in 14 years, hence [tex]t = 14, A(t) = 11900[/tex].The amount she needs to invest is P.Hence:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]11900 = P\left(1 + \frac{0.031}{365}\right)^{365(14)}[/tex]
[tex]1.54339P = 11900[/tex]
[tex]P = \frac{11900}{1.54339}[/tex]
[tex]P = 7710[/tex]
Melanie would need to invest a value of $7,710.
To learn more about compound interest, you can take a look at https://brainly.com/question/25781328
if 12 is to 3 as 61 is to
Answer:
15.25
Step-by-step explanation:
Could i get brainliest :D
Answer:
HOPE IT HELPS
HAVE A NICE DAY
Can someone help-? Like which one is the right answer
The following expression has 4 terms.
3x + 3y - 4ab
True
False
Answer:
3x-4ab+3y
Step-by-step explanation:
I think false as we can see there is not such numbers which makes 9 when multiplied and 4 when added
4.752 x 10"
Standard form
Answer:
475200000000
Step-by-step explanation:
it is 10 the power of 11 right
find the measure of
a. 180 degrees
b. 149 degrees
c. 63 degrees
d. 32 degrees
Answer:
31 Degrees
Step-by-step explanation:
63+86= 149
180-149=31
factor: m^2 - 20m - 21
(m-21) (m+1)there I thinks it's right unless I messed up my work
Answer:
[tex](m - 21)(m + 1)[/tex]
Step-by-step explanation:
[tex]m^{2} - 20m - 21[/tex]
Lets split the middle term.
[tex]=> m^{2} - 21m + m - 21[/tex]
[tex]=> m(m - 21) + 1(m - 21)[/tex]
[tex]=> (m - 21)(m + 1)[/tex]
Is the exponent of a number without a written exponent 1 or 0?
Answer:
1
Step-by-step explanation:
What does 12/18÷3/5 equal to in simplest form?
Answer:
10/9
Step-by-step explanation:
12/18÷3/5
Simplify
2/3÷3/5
Rule: a÷b/c=a*c/b
2/3*5/3
Rule: a/b*c/d=ac/bd
2/5*3/3
Simplify
10/3*3
Simplify
10/9 (decimal 1.1...)
Hope this help's :)
Quadrilateral ABCD is dilated by a scale factor of 3/2 to create quadrilateral A'B'C'D'. If quadrilateral ABCD has an area of 30, what is the area of quadrilateral A'B'C'D'?
Answer:
67.5
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, rotation, reflection and dilation.
Dilation is the enlargement or reduction of an object by a factor.
The area of ABCD = AB * BC = 30
As a result of the dilation to form A'B'C'D', A'B' = 3/2 * AB, B'C' = 3/2 * BC, C'D' = 3/2 * CD and A'D' = 3/2 * AD. Hence:
Area of A'B'C'D' = A'B' * B'C' = 3/2 * AB * 3/2 * BC = 9/4 * (AB * BC) = 9/4 * 30 = 67.5
Answer:
the transformation quadrilateral ABCD undergoes is a reflection.
Step-by-step explanation:
What is the area of the trapezoid?
6 feet
8 feet
10 feet
1. 80 ft 2
2. 60 ft 2
3. 24 ft 2
4. 64 ft 2
Caden biked 1 2/5 miles in 1/4 hour. If it is currently 4:00 P.M. and he has to bike 14 miles. At what time will he be finished?
Answer:
He will finish the biking at 6:30 pm
Step-by-step explanation:
1/4 hour is same as 1/4 * 60 = 15 minutes
1 2/5 miles is same as 1.4 miles
He bikes 1.4 miles in 15 minutes
then he will bike 14 miles in 15 * 10 = 150 minutes
150
minutes is same as 2 hours 30 minutes
Adding this to 4 pm, we will get;
6:30 pm
Triangle ABC is a right triangle. Triangle A B C is a right triangle. Angle A C B is 90 degrees, angle C B A is 31 degrees, and angle B A C is 59 degrees. What is the relationship between angles A and B?
Answer:
see explanation
Step-by-step explanation:
Complementary angles sum to 90°
∠ CBA = 31° and ∠ BAC = 59° , sum to 90° (31° + 59° = 90° )
Thus
∠ A and ∠ B are complementary angles
Answer: They are complementary
Step-by-step explanation: took the test on edge!
what is the answer to 22 +10X=
Complete question:
what is the answer to 22 +10x = 0
Answer:
the value of x is -2.2
Step-by-step explanation:
Given;
22 +10x = 0
collect like terms
10x = 0 - 22
10x = -22
divide both sides by 10
[tex]\frac{10x}{10} = \frac{-22}{10} \\\\x = -2.2[/tex]
Therefore, the value of x is -2.2
what units do scientist use to measure force
Answer: newtons
Step-by-step explanation:
Answer:
I believe it is Newtons :)
Step-by-step explanation:
Quadratics Help!!! (Number 11)
Answer:
a) 2x + 1, 4x + 7
b) L = 19 cm, W = 7 cm, A = 133 cm^2
Step-by-step explanation:
8x^2 + 18x + 7
ax^2 + bx + c
ac = 8 * 7 = 56
56 = 4 * 14
8x^2 + 18x + 7 =
= 8x^2 + 14x + 4x + 7
= 2x(4x + 7) + 1(4x + 7)
= (2x + 1)(4x + 7)
a) 2x + 1, 4x + 7
b)
2(3) + 1 = 7
4(3) + 7 = 19
A = LW = 19(7) = 133
kevin has a part time job
he earns £8 an hour
he wants to buy a new bike costing £176
how many hours does he need to work to earn enough to but it?
what is the constant of variation in this relation?
Answer:
Please check the explanation.
Step-by-step explanation:
We know that when 'y' varies directly with 'x', we get the equation
y ∝ x
y = kx
k = y/x
here k is the constant of variation.
From the table,
substitute x = -3, y = -4 in the equation
k = y/x
k = -4/-3
k = 4/3
substituting x = -2, y = -1
k = y/x
k = -1/-2 = 1/2
substituting x = -1, y = 2
k = y/x
k = 2/-1 = -2
substituting x = 0, y = 5
k = y/x
k = 5/0 = ∞
substituting x = 1, y = 8
k = y/x
k = 8/1
k = 8
substituting x = 2, y = 11
k = y/x
k = 11/2
substituting x = 3, y = 14
k = y/x
k = 14/3
It is clearly visible that there is no constant of variation because the ratio y = k/x is variating for different ordered pairs.
Thus, It is clear that none of the answers in the answer choices represent the constant of variation in this relation.
Can the triangles be proven similar and how
Answer:
yes
Step-by-step explanation:
The two equilateral triangles below are similar figures. What is the scale factor from the small triangle on the left to the large
triangle on the right? The triangles are not drawn to scale.
Answer:
12 : 58.8 which simplies to 1 : 4.9
Step-by-step explanation:
Are the ratios 10:20 and 2:4 equivalent. yes or no? PLEASE HELP! :D
Answer:
yes they are equivalent
Answer:
[tex]\huge\bold\purple{ Yes }[/tex]
If a car travels 400 meters in 20 seconds how fast is it going?
Answer:
[tex]\huge\boxed{\sf v = 20\ m/s}[/tex]
Step-by-step explanation:
Given Data:
Distance = S = 400 m
Time = t = 20 secs
Required:
Speed = v = ?
Formula:
v = S/t
Solution:
v = 400 / 20
v = 20 m/s
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH18071.) Identify the degree of the term 3xy4
The ordered pair (x – 3, y + 1) was used to translate an object. To find the pre-image of the object, you would need to move _____.
A three units left and one unit up
B three units down and one unit right
C three units left and one unit down
D three units right and one unit down
It takes 198198198 seconds to boil a perfect egg at the lowest place possible, the edge of the Dead Sea, which has an altitude of -418−418minus, 418 meters. The highest place possible is the summit of Mount Everest which has an altitude of 884888488848 meters. It takes 209209209 seconds to boil a perfect egg there. T(a)T(a)T, left parenthesis, a, right parenthesis models the time (in seconds) it takes to boil a perfect egg at an altitude of aaa meters.
Given that,
An egg takes 198 seconds to boil a perfect egg has an altitude of -418 m.
Also it takes 209 seconds at an altitude of 8848 m.
To find,
The domain of T.
Solution,
Domain is the set of input values for which the function is defined. The least value is -418 m and the highest value is 8848 m. So, the domain is :
[tex]-418\le x \le 8848[/tex]
Therefore, this is the required solution.
Answer:
real numbers
−418≤a≤8848
Step-by-step explanation:
Name the plane represented by the right side of the box?
Answer:
I believe it is BCG
Step-by-step explanation:
If one of the angle is 60 degree and the other two are in the ratio 1:2,
find the angles.
Answer:
Let the two angles be x and 2x
Sum of angles of triangle=180°
60+x+2x=180
3x=180-60
x=120/3
x=40
2x=80
Step-by-step explanation:
40 and 80 are other two angles
3.12 divided 1/2
I need help with this question
Answer:
6.24
Step-by-step explanation:
A person hikes 4 miles in 2.5 hours. Find the unit rate in miles per hour.
Then find the unit rate in hours per mile.
Answer:
Step-by-step explanation:
60 miles per hour
Since d=rt, r = d/t = 420 miles/7 hours = 60 miles per hour.
Please helppp answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!
Answer:
21
Step-by-step explanation:
Remember that the centroid splits the 3 medians of a triangle into a ratio of 1:2
Since TS < TN, TS = 42/2 = 21
jackie is solving this system of linear questions: 3x+2y= 20
4x-y=30
which equations could be part of the process of solving this system?
4x+6y=20
12x+8y=80
8x-y=60
8x-2y=60
Answer: 12x+8y=80
8x-2y=60
Step-by-step explanation:
The equations that could be part of the process of solving this system are 12x+8y=80 and 8x-2y=60.
The original equation was 3x+2y= 20 and 4x-y=30. Multiplying all through by 4 gives 12x+8y=80 and 8x-2y=60.