Solution :
Given :
Principal amount deposited, P = $ 6000
Rate of interest, r = 5%
Number of years, t = 4 years
When the deposited amount is compounded semiannually, i.e. n = 2
Therefore,
Future value,
[tex]$FV = P\left( 1 +\frac{r}{n}\right)^{nt}$[/tex]
[tex]$FV = 6000\left( 1 +\frac{0.05}{2}\right)^{2 \times 4}$[/tex]
[tex]$FV = 6000 \times (1.025)^8$[/tex]
= 6000 x 1.2184
= 7310.4
Therefore, after 4 years there will be $ 7310.4 in the amount when compounded semi annually.
When the deposited amount is compounded quarterly, i.e. n = 4
Therefore,
Future value,
[tex]$FV = P\left( 1 +\frac{r}{n}\right)^{nt}$[/tex]
[tex]$FV = 6000\left( 1 +\frac{0.05}{4}\right)^{4 \times 4}$[/tex]
[tex]$FV = 6000 \times (1.0125)^{16}$[/tex]
= 6000 x 1.219889
= 7319.334
Therefore, after 4 years there will be $ 7319.334 in the amount when compounded quarterly.
When the deposited amount is compounded monthly, i.e. n = 12
Therefore,
Future value,
[tex]$FV = P\left( 1 +\frac{r}{n}\right)^{nt}$[/tex]
[tex]$FV = 6000\left( 1 +\frac{0.05}{12}\right)^{12 \times 4}$[/tex]
[tex]$FV = 6000 \times (1.0041667)^{48}$[/tex]
= 6000 x 1.22089
= 7325.34
Therefore, after 4 years there will be $ 7325.34 in the amount when compounded monthly.
Karen purchased a prepaid phone card for $15. Long-distance calls cost 19 cents a minute using this card. Karen used her card only once to make a long-distance call. If the remaining credit on her card is $12.91, how many minutes did her call last?
Answer:
I am pretty sure the answer is 11 minutes and the cost was $2.09
Step-by-step explanation:
Ihope this helps you:)
Step-by-step explanation:
Ok so we start with $15 now the remaining amount is $12.91, so let's substract
15.00 - 12.91 = 2.09
Alright now I must work with this number, since every minute used on the call is 19 cents, i must divide 2.09 to see how many 19 cents fit into this number
2.09 / 0.19 = 11
So she lasted talking or in this call 11 minutes....
I hope this helps!
Dndbksndbdkwkdbdkdndnfbbdjff
Answer:
The third Number line = C
P = - 1 ; Q = 7
Step-by-step explanation:
P = - 1 ; as the tick marks are 1 unit apart ; hence the point P is located either side of - 2 and 0 ; therefore, the point Q is either :
(-2 + 1) = - 1 or (0 - 1) = - 1
Q = 7 ; Q is position on between 6 and 8 ; therefore, the number which falls in the middle of both numbers is 7.
Answer:
C. the third one
Step-by-step explanation:
have nice day
PLS HELP TON OF POINTS AND BRAINLIEST
Answer:
sss axiom
Step-by-step explanation:
Answer:
wa pow
Step-by-step explanation:
why is b the answer ???????????????????/
Answer:
Step-by-step explanation:
its b cuz when u replace any value of x from B to the equation, the value of y satisfies the values of y in B. For instance
y = 4 * -3 + 2
= -10
the value of y is -10 which satisfies the value of y in B but when u use a value of another table suppose A it would be,
y = 4 * 7 + 2
= 30
but the value y corresponding to the value of x we used is not 30
HOPE IT HELPED
What is the distance between points A (-2, 1) and B (2, 4)?
Answer:
5
Step-by-step explanation:
A(-2 , 1) ; B(2 , 4)
[tex]Distance = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\\\\[/tex]
[tex]= \sqrt{(2-[-2])^{2}+(4-1)^{2}}\\\\= \sqrt{(2+2)^{2}+(4-1)^{2}}\\\\= \sqrt{(4)^{2}+(3)^{2}}\\\\= \sqrt{16+9}\\\\= \sqrt{25}\\\\= \sqrt{5*5}\\\\= 5[/tex]
Is a software salesmanLet y represent his total say in )Let the of copies of History is sellsSuppose and y are related by the equation y = 2200 + 70x Answer the questions below. Note that a change can be an increase or decrease . For
Answer:
The answer is "70 and 2200".
Step-by-step explanation:
Please find the complete question in the attached file.
The total payment = y
The number of copies to be sold = x
[tex]\to y = 70x + 2200[/tex]
In part (a):
Change of pay = discrepancies between (x+1) sale and (x) sale of copies for every copy sold
[tex]=[70(x+1) + 2200] - [70x + 2200] \\\\= 70x + 70 + 2200 - 70x - 2200\\\\= 70\\\\[/tex]
In part (b) :
[tex]\to y = 70x+ 2200[/tex]
when [tex]x = 0[/tex]
[tex]\to y = 70(0) + 2200\\\\[/tex]
[tex]=0+2200\\\\=2200[/tex]
What is the length of BC, given that figure ABCD is a rectangle?
PLZ Help
Use the distributive property to remove the parentheses. -5(-6y - 3w + 2)
Answer:
−5(−6y−3w+2)
=(−5)(−6y+−3w+2)
=(−5)(−6y)+(−5)(−3w)+(−5)(2)
=30y+15w−10
=15w+30y−10
Round to the nearest whole number
74.64
PLEASE HELP!! WILL GIVE BRAINLIEST PLUS 30 POINTS IF CORRECT!!
A student places a mirror on the ground between herself and the tree so that she can see the top of the
tree in the middle of the mirror. Are the two trangles formed, similar? If yes, what is the height of the
tree? (GSRT 5)
A}Yes, 10 ft.
B) Yes, 12 ft.
Yes, IA ft
6 ft
Dj No, the trangles are not similar
16 ft
8t
Answer:
i think its a
Step-by-step explanation:
Factor completely −5x3 + 10x2.
Prime
−x(5x2 − 10x)
5x(−x2 + 2x)
−5x2(x − 2)
Answer:
-5x³ + 10x² = -5x²(x - 2)
Step-by-step explanation:
Answer:
-5x³ + 10x² = -5x²(x - 2)
Step-by-step explanation:
this is right i fact checked it
happy trails
Find the volume of a right circular cone that has a height of 17 m and a base with a circumference of 6.3 m.
Answer:
The volume of the right circular cone is approximately 17.9 m³
Step-by-step explanation:
The given parameters of the cone are;
Height = 17 m
Circumference of the base, C = 6.3 m
The circumference, C, of a circle is given by the formula, C = 2×π×r
Therefore, we have;
C = 6.3 m = 2×π×r
r = 6.3/(2 × π) ≈ 1.002676
The volume, V, of a cone is given by the following formula;
[tex]V = \dfrac{1}{3} \times \pi \times r^2 \times h[/tex]
Where;
r = The radius of the base ≈ 1.002676
h = The height of the cone = 17 m
[tex]V = \dfrac{1}{3} \times \pi \times 1.002676^2 \times 17[/tex]
V = 1/3 × π × (1.002676 m)² × 17 m ≈ 17.89776 m³ which by rounding up to one decimal place is 17.9 m³
The volume of the right circular cone, V ≈ 17.9 m³.
Simplify (9.5)(−2)(−5). (1 point)
Answer:
95
Step-by-step explanation:
I hope this help
(-19)×(-5)
Graph each function. State the domain and range.
f(x)={(-x-2 if x>0),(-x if x<=0):}
Please help me will give brainillest is work is shown. thank you !!!
9514 1404 393
Answer:
see attached
Step-by-step explanation:
For values of x less than zero, the graph of the function is a graph of the line
y = -x
Because the function is defined by this expression at x=0, there will be a solid dot at the end of the line there, at (0, 0).
__
For values of x greater than 0, the graph of the function is a graph of the line
y = -x -2
This line has the same -1 slope as before, but has a y-intercept of -2. The function is not actually defined as (0, -2), so there is an open circle at the end of the line there.
What is the value of a in the equation 3 a plus b equals 54, when b equals 9?
15
18
21
27
Answer:
15
Step-by-step explanation:
3a+b=54
3a+9=54
3a=45
a=15
Hey guys i need help asap, here’s the problem (j-5)(5)
Answer:
5j-25
Step-by-step explanation:
Answer:
5j - 25
Step-by-step explanation:
Distribute #5 among j and -5
-2g+1.5=17.3 My math final has this, my answer isn’t on my screen. Starting to think i dont know how to do math.
Answer:
Original: -2g + 1.5 = 17.3
Solving:
-2g = 15.8
-g = 7.9
Answer:
g = -7.9
And don`t worry I only know how to do this because I remember it from a few years ago. I`m not even caught up in my own math class ;--;
Hope that helps
Hi! Please help me solve this:
How did the temperature change if:
at first it decreased by 10% and then by 30%?
(I need the percent value)
Answer
by 20%????
Step-by-step explanation:
Plz help me with this and with an explanation and I’ll give brainliest
Answer: Your answer would be -8
Step-by-step explanation:
You have to divide each side by factors that doesn't contain the variable.
Hope this helped you! <3
7 × (-5) is equivalent to?
2
-35
35
-12
Answer:-35
Step-by-step explanation: 7x5 = 35, but since the 5 is a negative it’s -35
Answer:
-35
Step-by-step explanation:
whenever multiplying positive and negative integers, if one of the factors are negative, then the answer will be negative. if both are negative, the answer becomes a positive, and if both are positive, the answers stays positive.
in this case 7 is positive and 5 is negative so your anwers is -35
hope i helped!
:)
2 5/6 years is how many months
Final Answer: 34 months
Steps/Reasons/Explanation:
Hey there! Each year is 12 months. We can see that 2 years is already given. 2 years × 12 months = 24 months.
For [tex]\frac{5}{6}[/tex] we will multiply it by two to find the remaining amount of months. [tex]\frac{5}{6}[/tex] × [tex]2[/tex] = [tex]\frac{10}{12}[/tex]. This means that there is an extra 10 months of a year remaining.
Now we have to add them up. 24 months + 10 months = 34 months.
~I hope I helped you :)~
What is the sum of the complex numbers 3 − 4i and 5 + 3i ?
Answer:
8 - i
General Formulas and Concepts:
Algebra I
Combining Like TermsAlgebra II
Standard Form: a + biStep-by-step explanation:
Step 1: Define
(3 - 4i) + (5 + 3i)
Step 2: Simplify
Combine like terms (Z): 8 - 4i + 3iCombine like terms (i): 8 - iEnter a range of values for x.
question is attached!
Which is the graph of the linear equation 3x + 2y = 6?
Answer:
I think it would have to be the last one please tell me if i am right
Step-by-step explanation:
Answer:
It's the graph in the middle, just did it on edge
Step-by-step explanation:
What is the value of the expression
s(8-2)/t
when s=0.5 and t= 2
A 0.5
B 1
C 1.5
D 2
Answer:
C. 1.5
Step-by-step explanation:
replace the values in the equation with the values given.
Answer:
I think it will be C. 1.5
What is 2/5 ÷ 1/10 = ?
Please answer, fifteen pts!
8x -4 < -36.
Please explain/show work!
Will give crown help
Answer:
D is a right angle
B is an accute angle
A and C are obtuse