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:
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x²+xy+y²
help me simplify it
Answer:
they didn't sum on yet
You have 112 feet of fencing to enclose a rectangular region. What is the maximum area?
if f(x)=3x-5 and g(x)=x², find (f o g)(3)
Answer:
(f ∘ g) (3) = 22
Step-by-step explanation:
f( x + 3x - 5; g (x) = x² ∴ g ( 3 ) = 3² = 9
( f ∘ g ) ( 3 ) = f(g(3)) = f ( 9 ) = 3 · 9 - 5 = 27 - 5 = 22 [Ans]
I need an answer for this please.
Answer:
N0O0O0O0O0O0O0O0O0O0O
Step-by-step explanation:
On a blueprint, the scale says that 2 cm represents 3 m. What is the actual length of a wall if it's measurement on the blueprint is 7 cm?
Answer:
7!!
Step-by-step explanation:
(4) The volume of a cuboid shaped tank is 3600 cm?. Its height, breadth and length are three consecutive perfect squares. Find its length, breadth and height. (Write 3600 as a product of prime factors).
Answer:
15×15×16=3600
15×15=225
225×16=3600
Can someone help me.
Answer:
see explanation
Step-by-step explanation:
substitute the values of x in the table into g(x)
Using the rule of exponents
[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex]
g(- 2) = [tex]4^{-2}[/tex] = [tex]\frac{1}{4^{2} }[/tex] = [tex]\frac{1}{16}[/tex]
g(- 1) = [tex]4^{-1}[/tex] = [tex]\frac{1}{4}[/tex]
g(0) = [tex]4^{0}[/tex] = 1
g(1) = [tex]4^{1}[/tex] = 4
g(2) = 4² = 16
PLEASE HELP I WILL GIVE YOU BRAINLIEST ANSWR!!!!!!
Answer:
Domain: (- infinity, infinity) Range: (-infinity, infinity)
Step-by-step explanation:
ok. look at the x axis.. the graph goes on forever... now y axis, it continues so both are infinity.
Ms. Nguyen needs to separate $385 into three parts to pay some debts. The second part must be five times as large as the first part. The third part must be $35 more than the first part. How much money must be in each part?
Answer:
1st: $50 2nd: $250 3rd: $85
jacket is on sale at 15% off the original price of $68. based on this sale how much money will he save
Answer: He will save $57.80
Step-by-step explanation: Sale Price = $57.8. This means the cost of the item to you is $57.8. You will pay $57.8 for an item with original price of $68 when discounted 15%. In this example, if you buy an item at $68 with 15% discount, you will pay 68 - 10.2 = 57.8 dollars.
(5a-4)(3a-1)
How do I do it?
Answer:
15a^2 -17a +4
5a x 3a = 15a^2 bc a times a makes it squared.
next, 5a x -1 = -5a
and then -4 x 3a = -12a
-5a -12a (bc they're like terms) = -17a
then, -4 x -1= 4 ( two negs cancel each other out)
I apologize for my mistake the first time
Mya says the value of 6 in 0.006 is 1-10 of the value of 6 in 0.6. Is the correct?
Answer:
no, it is incorrect it is 1-100 the value
Step-by-step explanation:
0.006×10= 0.06
0.006×100=0.6
PLS HELP ME HELP PLS THANK YOU
Answer:
1920 cubic centimeters
Step-by-step explanation:
If you recall the formula to find volume, it is V=Bh (Bh stands for area of the base times the height). First, multiply 14, 8, and 10 together, to get 1120, the volume of the first figure. To find the volume of the second figure, do the same: multiply 10, 10, and 8 together to get 800. Finally, add the two volumes together to get the volume of the figure, 1920 cubic centimeters.
ANSWER THIS ASAP PLEASE !
Simple the answer is: n=14
D
Which of the following number Satisoy
the equation - G+2=-12?
a) 2
b) 6
C) -6. D) -2
Step-by-step explanation:
you must have left out important pieces of the equation.
what I can see and therefore solve is
-G + 2 = -12
-G = -14
G = 14
Round off to the nearest hundredth: 3.6789
What is the 6th multiple of 13?? I have no idea and I’m in set 1 rip
Answer:
78
Step-by-step explanation:
Write out the 13 times tables: 13, 26, 39, 52, 65, 78, ... 78 is the 6th number.
You can also do 13 × 6 which is 78.
Hope this helps!
Answer:
78
Step-by-step explanation:
PLEASE CAN ANYBODY HELP
Answer:
it should be 2.9 .
Step-by-step explanation:
PLEASE HELP WILL MARK BRAINLIEST NO RANDOM ANSWERS
Answer:
2 is the correct answer
Find the area of the credit card. 2 1/4 in and 3 1/3 in
Answer:
Step-by-step explanation:
A= W*L
A= 31/3*21/4
A=10.3*5.25
A=54.075cm^2
Answer:
7 1/2in^2
Step-by-step explanation:
LxW=A
2 1/4 x 3 1/3 = A
A = 7 1/2
Harold bought 3 pounds of red apples and 4.2 pounds of green apples from a grocery store, where both kinds of apples are $1.75 a pound. How much did Harold spend on apples?
Answer:
11.6 is your answer. brainliest pls
Step-by-step explanation:
The price of a flash drive that regularly sells for $16 is increased by 15%. Write two different expressions to find the new price.
Two expressions please! I can't figure any out on my own... :(
Answer:
16 × .15 and 16 × 15/100
Step-by-step explanation:
...
Find the vertex of a quadratic function written in standard form.
f(x) = 3x2 + 18x + 32
PLS HELP!!
Answer:
our vertex for f(x) = 3x² + 18x + 32 = (-3, 5 )
Step-by-step explanation:
let me write the standard form of a quadratic equation
[tex]a {x}^{2} + bx + c[/tex]
Now let me rewrite the original equation
[tex]3 {x}^{2} + 18x + 32[/tex]
Now we use this simple formula to find the vertex (h, k)
[tex]x = h = - \frac{b}{2a} \\ = - \frac{18}{2(3)} = - \frac{18}{6} = - 3 \\ h = - 3[/tex]
substitute -3 for x back into our original equation to solve for y our k value of our vertex
[tex]y = 3 ({ - 3})^{2} + 18( - 3) + 32 \\ = 3(9) - 54 + 32 \\ = 27 + 32 - 54 \\ = 59 - 54 \\ k = 5[/tex]
our vertex for f(x) = 3x² + 18x + 32 = (-3, 5 )
Please help me, write the step by step explanation plz?
Answer:
i think the answer is 171,500 i don't know i am trying.
Step-by-step explanation:
first you multiply 35 times 3 you will get 85,750 then you multiply 10 times 2 you will 20 and multiply both of them and you will get 171,500.
B
C
D
A
If mZBAC = 25°, then mZCAD = [?]°
Enter
ASAP NEED HELP PLEASE 70 points ?!!!!
Answer:
f(1) = 5Step-by-step explanation:
Use the given formula and substitute the value of x:
f(x) = 4 + xf(1) = 4 + 1 = 5f(1)
4+15Done
which is greater? -1 17/20 or -1 8/10PLSSS HELP ASAPplsss show work aswell
I need help ASAP pls
Answer:
it not clear maybe you can take an other pohto
sorry
Step-by-step explanation:
There is 1 inch of water in a pool. The water level is increasing at 0.75 inches/minute. Which linear equation represents the total depth of the water, in inches, after x minutes?
Question 3 options:
y=0.75x+1
1+y=0.75x
x=0.75y
y=0.75x
On average, Carson spends about 26% of his allowance each month on candy and soft drinks. When creating a circle graph of what Carson does with his money, which of the following fractions would be the best to represent how much he spends on food?
Estimate the circumference of a circle that has a diameter of 6 ft.
Answer: 1/4
Given : On average, Carson spends about 26% of his allowance each month on candy and soft drinks.
To Find : When creating a circle graph of what Carson does with his money, which of the following fractions would be the best to represent how much he spends on food?
If these are your Choices:
A) 1/4
B) 1/3
C) 3/4
D) 1/2
Solution:
To Convert fraction into % multiply by 100
(1/4) * 100 = 25 %
(1/3) * 100 = 33.33 %
(3/4) * 100 = 75 %
(1/2) * 100 = 50 %
Therefore 1/4 fraction best represent how much he spends on food