Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
Annual interest rate (i)= 0.055
Initial investment (PV)= $10,000
Number of years (n)= 7
To calculate the future value (FV), we need to use the following formula (except in d):
FV= PV*(1+i)^n
a.
Semiannual interest rate= 0.055/2= 0.0275
Number of semesters= 7*2= 14
FV= 10,000*(1.0275^14)
FV= $14,619.94
b.
Quarterly rate= 0.055/4= 0.01375
Number of quarters= 7*4= 28
FV= 10,000*(1.01375^28)
FV= $14,657.65
c.
Monthly interest rate= 0.055/12= 0.0045833
Number of months= 7*12= 84
FV= 10,000*(1.0045833^84)
FV= $14,683.18
d.
To calculate the future value using continuous compounding, we need to use the following formula:
FV= PV*e^(n*i)
FV= 10,000*e^(7*0.055)
FV= $14,696.14
1.4 (x + 5) + 1.6x = 52
Simplify <3
Find the domain of h(x) = 2x - 9 given a range of (-7,5,11)
Answer:
D = 1,7,10
Step-by-step explanation:
-7 = 2x - 9
x = 1
5 = 2x - 9
x = 7
11 = 2x - 9
x = 10
the domain of (1,7,10)
HELPPPPPPPP MEEEEE PLEASEEEE
Step-by-step explanation:
a rectangle has two pairs of equally long sides and each of the 4 angles between the sides is 90 degrees.
given that ABCDEF is a regular hexagon, it means that all its sides are equally long, and therefore also all internal angles are the same size.
that means for ACDF that the sides DC and FA are equally long.
DEF and ABC are congruent triangles, as the sides DE = BC, EF = AB, and the angle E is congruent to angle B.
based on the SAS criteria this confirms that DF is congruent to AC.
the angles ACB, CAB, EDF and EFD have to be all the same, and therefore also the angles FDC, DCA, CAF and DFA.
so, all 4 angles of the parallelogram ACDF are the same, and the sum of all these angles has to be 360 degrees, we have
360 = 4×angle
angle = 90 degree.
so, all angles are 90 degrees and we have two pairs of equally long sides : this process that ACDF us a rectangle
please help if you can
Answer:
x= 10
Step-by-step explanation:
(whole secant) x (external part) = (whole secant) x (external part)
(8+x) * 8 = (9+-3+x) * 9
8(8+x) = 9(6+x)
Distribute
64+8x=9x+54
Subtract 8x from each side
64 = x+54
Subtract 54 from each side
10 =x
Which plane geometry has countless symmetry axis ? (except for circle)
Sorry if there are some grammatical mistakes in my question because English isn't my first language. Thank you very much !
Countless symmetry axis of a parabola is vertical line which divides the parabola into two congruent halves.
The axis of symmetry always passes through vertex of parabola. These will cause the plane to divide into two parts.
The geometric shape may have countless symmetry axis. This actually divides the shape into two halves and creates a mirror like effect.
The x-coordinate of vertex is equation of axis symmetry of parabola. Lets say if we take an example of quadratic equation which is ,
y = ax^2 + bx + c , here in this equation the axis of symmetry is vertical line which is x = - b^2 a
Learn more at https://brainly.com/question/24375722
Determining a Local Maximum and Minimum
Analyze the table of values for the continuous function,
f(x), to complete the statements.
A local maximum occurs over the interval __
A local minimum occurs over the interval ___
Answer:
x=-1x=-3Step-by-step explanation:
Algebra level
What is the correct answer to this multiple choice question? Please help!!!
Answer:
By translating the function cos(x) 90 degrees to the right.
Step-by-step explanation:
The sine function is just the cosine function translated 90 degrees to the right. You can see the visualization below. They overlap.
If you're wondering why the diagram shows a shift in
[tex]\pi / 2[/tex]
That's just the equivalent to 90 degrees in radians.
A package of 3 pairs of insulated gloves costs $26.07. What is the unit price of the pairs of
gloves?
Answer:
8.69 per pair
Step-by-step explanation:
Take the total cost and divide by the number of pairs
26.07 /3
8.69 per pair
Three identical squares are placed side by side to form a rectangle with a perimeter of 104 inches. What is the area, in square inches, of each square?
Answer:
13 inches
Step-by-step explanation:
I have done a Little draw because I don't know how i can explain you this exuse me
whats (-3,6) and (3,4) in y=mx+b form?
Answer:
y = -1/3x + 5
Step-by-step explanation:
First you want to find the slope with the formula y2-y1/x2-x1.
4-6/3-(-3)
-2/6
-1/3
Second you want to substitute one point and the slope to find the y-intercept.
6 = -3(-1/3) + b
6 = 1 + b
5 = b
Third you can fill in the information we solved for.
y = -1/3x + 5
Best of Luck!
1.Given the function f(x) = -2c + cx - x^2? and f^-1(5) = -1, find c
Here we have a quadratic function and we want to find the value of a constant with a given restriction.
We will find that c = 8.
So we have the function:
[tex]f(x) = -2c + cx - x^2[/tex]
We know that:
[tex]f(5)^{-1} = -1 = \frac{1}{-2c + c\cdot 5 - (5)^2}[/tex]
Notice that the above equation means that:
[tex]-2c + c\cdot5 - (5)^2 = -1[/tex]
Then we just need to solve the above equation for c:
[tex]-2c + 5c - (5)^2 = -1\\\\(-2 + 5)\cdot c - 25 = -1\\\\3\cdot c = -1 + 25\\\\3\cdot c = 24\\\\c = 24/3 = 8[/tex]
So we found that the value of c is 8.
This means that the function is:
[tex]f(x) = -16 + 8\cdot x - x^2[/tex]
You can see the graph below:
If you want to learn more, you can read:
https://brainly.com/question/24215686
Find the length of the third side .
Answer:
a^2 + b^2 = c^2
4+16 = c^2
20 = c^2
c = [tex]\sqrt{20}[/tex] = [tex]2\sqrt{5}[/tex]
Step-by-step explanation:
PLEASE help me!!!
Amina has two bags.
In the first bag there are 3 red balls and 7 green balls.
In the second bag there are 5 red balls and 4
green balls.
Amina takes at random a ball from the first bag.
She then takes at random a ball from the second bag.
(a) Complete the probability tree diagram.
Answer:
Step-by-step explanation:
first
3/10 & 7/10
second
5/9 & 4/9
Comparing Ratios
Which ratios are less than 8 to 10? Check all that apply.
16
20
3:5
50
100
13.15
Answer:
3/5 and 50/100
Step-by-step explanation:
changing the ratios into fractions are an easy way to check,
8/10 = 0.8
16/20 = 0.8
3/5 = 0.6
50/100 = 0.5
13/15 = ~0.8666
The distributive property can be applied to which expression to factor 12x3 – 9x2 + 4x – 3?
3(4x3– 1) – (9x2 + 4x)
4x(3x2 + 1) – 3(3x2 – 1)
3x(4x – 3) – (3+ 4x)
3x2(4x – 3) + 1(4x – 3)
IM ON EDGE
Answer:
12x^3-9x^2+4x-3
3(4x^3-1)-(9x^2+4x)
therefore option A is right
thank you, and mark it as brainliest if u find it useful
To paint a wooden cube, Pinocchio used 4 gram of paint. When it is dry, he cut the cube into 8 equal cubes of smaller size. How much paint additional paint does Pinocchio need to paint the unpainted surfaces of smaller cubes?
Answer:
game1321.netlify.app
Step-by-step explanation:
This is a test sorry I'm trying to see if you can post links in comments
which expression is equivalent to (4^-3)^-6
a.) 4^3
b.) 4^-9
c.) 4^-18
d.) 4^18
Answer:
Answer:
The answer is d.) 4^18
graph the solution of this inequality: 4/9 x- 10 > x/3-12
Answer:
7
Step-by-step explanation:
Mrs. Helton is making gift bags as prizes for her math classes. She has 30 little bags of Hershey Kisses and 15 Blow Pops. What is the greatest number of gift bags she can make if all gift bags are the same, and she does not want any left over?
Answer:
15
Step-by-step explanation:
For this we must find the GCF, or greatest common factor, because we cannot have multiples.
Factors of 30:
1 , 2, 3, 5, 6, 10, 15, 30
Factors of 15:
1, 3, 5, 15
GCF = 15
Each bag will have 2 Hershey bags, and 1 Blow Pop
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Find the mean of the data in the bar chart below. coins collected by each person in a scavenger hunt.
Answer:
There's no chart below
Step-by-step explanation:
Answer:
6.2 coins he will have
Step-by-step explanation:
its the anwser on han i go it wrong :( the first time and 12 was the anwser!
halp me children it's important
Answer:
64 cm³
Does the answer help you?
please help have a lot of lessons
Find m<DCV and m<VBD
Answer:
∠ DCV = ∠ VBD = 50°
Step-by-step explanation:
The inscribed angles DCV and VBD are half the measure of their intercepted arcs, that is
∠ DCV = [tex]\frac{1}{2}[/tex] DV = [tex]\frac{1}{2}[/tex] × 100° = 50°
∠ VBD = [tex]\frac{1}{2}[/tex] DV = [tex]\frac{1}{2}[/tex] × 100° = 50°
A runner jogged 4 miles in ten laps around a circular
track. What is the greatest distance straight across
the track?
Answer:
.1273 mi = 627.2 feet
c = 2[tex]\pi[/tex]r
.4 = 2[tex]\pi[/tex]r
r = [tex]\frac{.4}{2\pi }[/tex]
r = [tex]\frac{.2}{\pi }[/tex]
d = [tex]\frac{.4}{\pi }[/tex]
d = .1273 mi = 627.2 feet
Step-by-step explanation:
Which shapes have the greatest area?
(Select all that apply.)
Answer:
the trapiezium
Step-by-step explanation:
It has a area of 4 which is the highest
The teacher and her students are playing a game. The students take turn to say from 1 to 100 (1 student says 1 number in each turn). However, in the turn that students need to say the number which has the digit 7, they need to say "Buzz" instead. For example, if Hoa has number 17 in her turn, Hoa will say "Buzz" instead of "seventeen". How many times will the students say "Buzz" in total?
Answer:
19
Step-by-step explanation:
If the number has atleast 1 digit that is 7, they say "Buzz."
7
17
27
37
47
57
67
70
71
72
73
74
75
76
77
78
79
87
97
I counted 19.
I hope this helps!
pls ❤ and give brainliest pls
is 23/17 a rational number?
Answer:
rational number
Step-by-step explanation:
a rational number can be written as a/b where a and b are integers
23/17 = a/b where a = 23 and b = 17
This is a rational number
Combine like terms. (Simplify your answer completely.)
2/5x+6+8/5x
Answer:
16/5x
Step-by-step explanation:
as there is 2 5x so it will be 2 by 5x +6+ 8 by 5x
next there is two 5x and it will be 1 5x
then we will add 2+6+8=16
and there is already 5x ..simple.
hope it will help
find the length of UT
Answer:
I think it would be
A .39
I hope that it helps you
If f(x) = x/2 -2 and g(x) = 2x+ +x= 3, find (f + g)(x).
Answer:
.
.
.❥︎ᴀᴀɴᴋʜ ᴜᴛʜɪ ᴍᴏʜᴀʙʙᴀᴛ ɴᴇ ᴀɴɢᴅᴀɪ ʟɪ ,
.ᴅɪʟ ᴋᴀ sᴀᴜᴅᴀ ʜᴜᴀ ᴄʜᴀɴᴅɴɪ ʀᴀᴀᴛ ᴍᴇ ❣︎
.
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