An Investment of $10,000 yields 8% interest compounded quarterly. The accumulated capital after 6 months is $10,404. The accumulated capital after 5 years is $14.859.47
From the information given;
The principal amount of investment = $10,000Interest Rate = 8% = 0.08number of times it get compounded = 4a. we are to determine the amount of the accumulated capital after 6 months.
i.e. when time (t) = 6 months.Now, using the formula for calculating the amount value of the accumulated capital:
[tex]\mathbf{A = P(1 + \dfrac{r}{n})^{nt}}[/tex]
[tex]\mathbf{A = 10000(1 + \dfrac{0.08\times 1}{4})^{4 \times \frac{1}{2}}}[/tex]
[tex]\mathbf{A = 10000(1.02)^2}}[/tex]
A = $10,404
b. we are to determine the amount of the accumulated capital after 5 years
i.e. when time (t) = 5 years[tex]\mathbf{A = P(1 + \dfrac{r}{n})^{nt}}[/tex]
[tex]\mathbf{A = 10000(1 + \dfrac{0.08\times 1}{4})^{4 \times 5}}[/tex]
[tex]\mathbf{A = 10000(1.02)^20}}[/tex]
A = $14859.47
Therefore, we can conclude that the accumulated capital after 6 months is $10,404 and the accumulated capital after 5 years is $14859.47
Learn more about compound interest here:
https://brainly.com/question/14295570?referrer=searchResults
What is the LCD of - and -? 15 x 8 n 15 nx 75 x
Answer:
Answer 1
Step-by-step explanation:
Since 5 goes into 15x then 15x is the LCD, answer 1.
PLEASE HELP WILL MARK BRAINLIEST TO BEST ANSWER
Answer:
option D
[tex] {10x}^{2} + 3x - 8[/tex]
Answer:I would say A I found out 2X^2+-1 first
Step-by-step explanation:2x
2
+−1
The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax
n
is nax
n−1
.
2×2x
2−1
Multiply 2 times 2.
4x
2−1
Subtract 1 from 2.
4x
1
For any term t, t
1
=t.
4x
Then I saw that 6-2 making 4 so I chose the first one
Given f(x) = 5x + 32, find the following.pls don't send me a link to something and. pls pls help me this is due today and I'm still struggling with it
Answer:
thank you for points....
in need of desperate help, lol not super desperate, just confused, thanks so much!
Answer:
Step-by-step explanation:
The km/minute is different for segment, so "The train does not always go . . ."
Tha average speed in km/minute of the 3 points is 3.2km/min. 10 minutes would be 32km.
===
Divide the cost by the number of people. It is $7/person in each case. The cost for each person appears to be the same. If Sam knew more math, he could charge each person $10 and end the evening $3/person richer. He would need at least 3 people to cover his own expense, and have $2 left for a tip to the attentive waitress who approved his strategy for profiting from his math skills.
The sum of a number and seven more than the number is 43. What is the number?
Answer:
18
Step-by-step explanation:
we can use the variable x to represent the number since it's currently unknownseven more than the number can be represented as x + 7we can find the sum of both by adding themx + x + 7 = 43
2x + 7 = 43
-7 -7
2x = 36
we divide by 2 on both sides to isolate xx = 18
Rectangle A measures 12 cm by 3 cm. Rectangle B is a scaled copy of Rectangle A . Select all of the measurement pairs that could be the dimensions of Rectangle B.
Answer:
A=6 cm, D=4.5cm and E=80 cm
Step-by-step explanation:
b. Does a12 x a4 = a8 x a8 for all values of a? Explain.
Answer:
We can use the Laws of Exponent to rewrite both sides of the equation:
Let a¹² x a⁴ = a⁸ x a⁸
⇒ a¹²⁺⁴ = a⁸⁺⁸
a¹⁶ = a¹⁶ ✅
⇒ a¹² x a⁴ = a⁸ x a⁸ is true for all values of a.
Explanation:
The equation a¹² x a⁴ = a⁸ x a⁸ is true because, on both the RHS and LHS of the equation, both terms in 'a' have exponents that when added (Law of Multiplication of Exponents) are equal to each other, i.e. 12+4 = 8 + 8.
May I please receive help?
If you translated the point a (4,-3) left 2 units and down 6 units where is A
Look at the equation shown below
Which of the following scenarios could be represented by the equation?
Cory is saving money by saving $3 per week. Her grandmother gave her $4 for her
birthday that she will put with her other savings. How many weeks. x win it take
her to save $322
Cory is saving money by saving $4 per week. She purchased a container for $3 that
she will use to store her money. How many weeks, x, will it take her to save $32
after paying for the container?
Cory is saving money by saving $3 per week. She purchased a container for $4 that
she will use to store her money. How many weeks x, will it take her to save $32
after paying for the container?
Cory has saved $32 and spends $4 on a large drink from Burger Bam. She wants to
buy several orders of fries that cost $3 aplece. How many orders of tries, x can Cory
buy after spending the $4 on the drink?
Answer:
106 weeks
9 weeks
9 weeks
9 tires
Step-by-step explanation:
1 (322-4)÷3=106
She nees to save for 106 weeks
2 (32+3)÷4=8.75
She need to save 9 weeks becouse complite decimal
3 (32+4)÷3=9
she need to save for 9 weeks
4.(32-4)÷3=9.33
she can order 9 tires
The sum of the real numbers x and y is 11. Their difference is 5. What is the value of xy?
Answer:8
Step-by-step explanation:
Answer:
xy=24
Step-by-step explanation:
x+y=11
x-y=5
x=y+5
y+5+y=11
2y=6
y=3
x=8
xy=24
What is the slope-intercept equation
for the following line?
Answer: y = -1/2x + 1
what is the quotient of
Answer:
9
Step-by-step explanation:
3 x 5 =15 + 3 = 18. so 18 over 5 divided by 2 over 5. you flip the 2nd fraction and multiply. the 5s cancel. 18 ÷2 = 9
a car is traveling at a steady speed. it travels 2 1/2 miles in 3 1/3 minutes. how far will it travel in 25 minutes. in 1 hour?
Answer:
Step-by-step explanation:
The car will travel 30 2/3 miles in 45 minutes.Oct
Riski states that any function written without exponents must be linear.Which function proves Riski 's statement is incorrect? A)y=5x+3 B)y=x⁵+3 C)y=×/3+5 D)y=3/×+5
Answer:
D
Step-by-step explanation:
Riski states that any function written without a exponent must be linear ( straight) however the equation y= 3/x+5 shows a non-linear line when graphed.
What number is subtracted from 2.2 which gives you 0.8765
Answer:
1.3235
Step-by-step explanation:
If you take 2.2 and subtract .8765 from it you get 1.3235. If you take that and subtract it from 2.2 you get .8765.
What does the slope represent in this graph ?
Answer:
The steepness of the line
Step-by-step explanation:
3/3
A small bookstore sold between 5 and 8 books each day for 7 days. Tell whether the graph is continuous or discrete.
Answer:
i think the answer is contionous
Please help with full solution ;)
Answer:
None Of These
Step-by-step explanation:
Because you cannot determine what the two sides are because there are 2 missing variables.
This is a linear equation and has infinite solutions.
Another equation matching this is needed to find a specific answer.
Hope This Helps :)
Standard electrical voltage in Europe is 220 volts.
a. Find the impedance in a standard European circuit if the current is 22 - 11i amps.
b. Find the current in a standard European circuit if the impedance is 10 - 5i ohms.
c. Find the impedance in a standard European circuit if the current is 20i amps.
Applying the general Ohm's Law, it is found that:
a) The impedance is of 8 + 4i ohms.
b) The current is of 17.6 + 8.8i amperes.
c) The impedance is of -11i ohms.
Ohm's Law states that voltage is current multiplied by impedance, that is:
[tex]V = IZ[/tex]
Standard voltage of 220 volts, thus [tex]V = 220[/tex].
Item a:
Current is 22 - 11i amps, thus [tex]I = 22 - 11i[/tex]. Then:
[tex]V = IZ[/tex]
[tex]220 = (22 - 11i)Z[/tex]
[tex]Z = \frac{220}{22 - 11i} \times \frac{22 + 11i}{22 + 11i}[/tex]
Considering [tex]i^2 = -1[/tex]
[tex]Z = \frac{220(22 + 11i)}{605}[/tex]
[tex]Z = 0.3636(22 + 11i)[/tex]
[tex]Z = 8 + 4i[/tex]
The impedance is of 8 + 4i ohms.
Item b:
Impedance is 10 - 5i ohms, thus [tex]Z = 10 - 5i[/tex]. Then
[tex]V = IZ[/tex]
[tex]220 = (10 - 5i)I[/tex]
[tex]I = \frac{220}{10 - 5i} \times \frac{10 + 5i}{10 + 5i}[/tex]
[tex]I = \frac{220(10 + 5i)}{125}[/tex]
[tex]I = 1.76(10 + 5i)[/tex]
[tex]I = 17.6 + 8.8i[/tex]
The current is of 17.6 + 8.8i amperes.
Item c:
Current is 20i amps, thus [tex]I = 20i[/tex]. Then:
[tex]V = IZ[/tex]
[tex]220 = 20iZ[/tex]
[tex]Z = \frac{220}{20i} \times \frac{20i}{20i}[/tex]
[tex]Z = -\frac{220 \times 20i}{400}[/tex]
[tex]Z = -11i[/tex]
The impedance is of -11i ohms.
A similar problem is given at https://brainly.com/question/16850726
7x+3y=8
3x-4y=14
solve by elimination method
Answer:
{x,y} = {2,-2}
Step-by-step explanation:
System of Linear Equations entered :
[1] 7x + 3y = 8
[2] 3x - 4y = 14
Graphic Representation of the Equations :
3y + 7x = 8 -4y + 3x = 14
Solve by Substitution :
// Solve equation [2] for the variable x
[2] 3x = 4y + 14
[2] x = 4y/3 + 14/3
// Plug this in for variable x in equation [1]
[1] 7•(4y/3+14/3) + 3y = 8
[1] 37y/3 = -74/3
[1] 37y = -74
// Solve equation [1] for the variable y
[1] 37y = - 74
[1] y = - 2
// By now we know this much :
x = 4y/3+14/3
y = -2
// Use the y value to solve for x
x = (4/3)(-2)+14/3 = 2
Solution :
{x,y} = {2,-2}
In a student president race student A received 9 votes received by student B if student A received 540 votes, how many votes did student B receive?
Answer: 60 Votes
Step-by-step explanation:
540 divded by 9 which equals 60 votes.
So Student B received 60 votes.
60 votes was received by student B.
540/9=60
May I please receive help?
Answer:
a: x=22
b: c=31 d=61 e=88
Step-by-step explanation:
For "a"
Step 1: (x+9)+(3x-5)+(4x)=180
Step 2: 8x + 4 =180
Step 3: x=22
For "b"
Step 1: (22+9)= 31 for "c"
Step 2: 3x22-5= 61 for "d"
Step 3: 4x22= 88 for "e"
PLS HELP WILL MARK BRAINLIEST!
More than means addition.
C is the correct option.
= (2x + 4) + 9 - 4y + 3x
= 2x + 4 + 9 - 4y + 3x
= 5x + 13 - 4y
= 5x - 4y + 13
Answer:
5x-4y+13 (c)
Step-by-step explanation:
9-(4y-3x)+(2x+4)
9-4y+3x+2x+4
3x+2x-4y+9+4
5x-4y+13
Please help me on this it’s due please help me
After 3.5 days, the height of the plant is ______
centimeters.
The height of the plant is 6.25 centimeters after _______
days.
Answer: I think this is what the top answer meant. Let me know if I am wrong though!
After 3.5 days, the plant is 5.75 centimeters tall, and after 4.5 days, it is 6.25 centimeters tall.
Given that a function h = 0.5d + 4 showing the height h of a plant in d days,
So, the equation of the line is:
h = 0.5d + 4
For 3.5 days put d = 3.5,
h = 0.5(3.5) + 4
h = 5.75 cm
To find the number of days after height of the plant is 6.25 centimeters.
Put h = 6.25,
6.25 = 0.5d + 4
2.25 = 0.5d
d = 4.5 days
Hence, the plant is 5.75 centimeters tall after 3.5 days and 6.25 centimeters tall after 4.5 days.
Learn more about functions here:
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Complete question is attached.
A plane travels a distance of 17,000 km in a time of 2.4 hours.
What is its average speed rounded to the nearest whole number?
Answer:
7083 KM/H
Step-by-step explanation:
17000 / 2.4 = 7083 (Plus some decimals, but rounded up its 7083.)
PLEASE HELP ITS DUE TOMORROW Rina draws hexagon GHJKLM. She rotates this figure by 180° about the origin to create hexagon G'H'J'K'I'M'.
Which THREE statements are TRUE?
A
G'H' is parallel to L M.
B
ZG'M'L' is a right angle.
С
J'K' is perpendicular to GM
D
ZH'J'K' is congruent to ZHJK.
E
J'K' has twice the length as JK.
Answer:
A, B, D
Step-by-step explanation:
C is wrong. J'K' is not perpendicular to GM
E is wrong. Rotating the figure 180 degrees, does not change the size of any line segments. So J'K' cannot be twice the length of JK
For brainily please help
Is the point (8,7) inside or outside the circle defined by the equation x² + y = 100 ?