10000$ is invested at annual compound interest after 4 years the investment has become $11,608.86 what annual rate of compound interest was used ?
Answers
$10,000 is invested at annual compound interest. After 4 years, the investment has become $11,608.86. What annual rate of compound interest was used?
Answer: 3.8%
The annual rate of the compound interest is given as 3.8%.
What is compound interest?Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.
Amount = principal[1 + r/n]ⁿᵃ
Principal = P rate= r Time =a , n = compounding frequency
Here,
Amount = principal[1 + r/n]ⁿᵃ
11608.86 = 10000[1 + r/1]⁴
1.160886 = [1 + r]⁴
1 + r = 1.038
r = 1.038 - 1
r = 0.038
r% = 0.038 ×100%
r% = 3.8%
Thus, the annual rate of the compound interest is given as 3.8%.
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Related Questions
20. Line L has a y-intercept of 2 and contains the points (a, a) and (2a, 12). If a is a positive constant, what is the slope of line L?
Answers
Answer:
(12 - a)/aStep-by-step explanation:
Given
Line L withy-intercept = 3Points (a, a) and (2a, 12)The slope is
m = (y2 - y1)/(x2 - x1) = (12 - a)/(2a - a) = (12 - a)/aI NEED HELP!!!! ASAP
Answers
Answer:
21
Step-by-step explanation:
1. (-4)2= 16
2.15/(-3)= 5
3. 16+5=21
Answer:
11
Step-by-step explanation:
First do -4^2
Then divide -15 and -3
Then 16-5
11
what is the distance rounded to the nearest tenth between the points (2,-2) and (6,3)
Answers
Answer:
√41
Step-by-step explanation:
√(x2-x1)^2+(y2-y1)^2=√41
Which of the following equations have no solution? Check all that apply.
6x + 1 = 3(2x – 4)
2 – 5x = 7x – 12
4(3 – x) = 2(6 – 2x)
5(x + 2) = 2(x – 4)
–4(x + 3) = 4(–x – 1)
Answers
Answer:
1 and 5
Step-by-step explanation:
1. 6x + 1 = 3(2x - 4)
6x + 1 = 6x - 12
6x + 13 = 6x
-6x -6x
13 = 0x
no solution
2. 2-5x = 7x - 12
2 = 12x - 12
14 = 12x
1 1/6 = x
3. 4(3 - x) = 2(6 - 2x)
12 - 4x = 12 -4x
-4x = -4x
x = ∞
4. 5(x + 2) = 2(x - 4)
5x + 10 = 2x - 8
3x + 10 = -8
3x= -18
x = -6
5. -4(x + 3) = 4( -x - 1)
-4x -12 = -4x -4
-4x - 8 = -4x
-8 = 0x
no solution
Answer:
–4(x + 3) = 4(–x – 1) and 6x + 1 = 3(2x – 4)
Step-by-step explanation:
I copied the other dude
Can anyone do 4.503 times 8.04
Answers
Answer:
The answer is 36.20 :)
Step-by-step explanation:
Answer: 36.20412
Step-by-step explanation: it’s easy when you write it down on paper and then times it
plz help :) and thank you.
Answers
Answer:
what is the question? there's no attachment
3/8 divided 3 2/3 Please help! :(
Answers
Answer:
Answer is 1/12. Hope that helped
Anybody wanna help please
Answers
Answer:
x=24
Step-by-step explanation:
x=180-156
x= 24
Explanation: 180-156=24
Which theorem or postulate justifies this statement? angle6 cong angle13
A. vertical angles theorem
B. alternate interior angles theorem
C. alternate exterior angles theorem
D. corresponding angles postulate
E. linear pair postulate
Answers
Answer:
C. Alternate Exterior Angles Theorem
Step-by-step explanation:
I took the test
The corresponding angles postulate and the vertical angles theorem are proving ∠6 = ∠13. Therefore, options B and D are correct answer.
From the given figure, lines GN and FH are intersecting by the line segments KL and JM.
What are angles of parallel lines?Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.
From the given figure, we can see that
∠6 = ∠10 (Corresponding angles are congruent)
∠10 = ∠13 (Vertical angles are congruent)
Now, ∠6 = ∠10 = ∠13
The corresponding angles postulate and the vertical angles theorem are proving ∠6 = ∠13. Therefore, options B and D are correct answer.
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2(x+6)=3(x+1)
Solving equations with variables on both sides. ;)
Answers
Step-by-step explanation:
2(x+6)=3(x+1)
2x+12=3x+3
collect the like terms
2x + 3x = 3+12
x=15/5=3
or
2x-3x = 3-12
= -9
Please help quickly
Answers
Let's see what to do buddy...
_________________________________ Step (1)
First we must find the measure of x
[tex](3x - 5) + (x + 1) = 180[/tex]
[tex]4x - 4 = 180[/tex]
Both sides plus 4
[tex]4x = 184[/tex]
Divided both sides by 4
[tex]x = \frac{184}{4} \\ [/tex]
[tex]x = 46[/tex]
_________________________________
Step (2)
Now we must find the RQS Angle measure :
Angle ( RQS ) = 46 + 1 = 47
_________________________________
Step (3)
QT bisects RQS ;
So the resulting angles are :
[tex] \frac{47}{2} = 23.5 \\ [/tex]
_________________________________
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
PLEASE HELP 40 POINTS
What is the relationship between ∠1 and ∠2? On both of them.
both a linear pair and supplementary
vertical
complementary
linear pair
supplementary
congruent
both vertical and congruent
Answers
Answer:
supplementaryverticalStep-by-step explanation:
Angles ∠1 and ∠2 are
Picture 1
Angles 1 and 2 are supplementaryPicture 2
Angles 1 and 2 are verticalWhich of the lines graphed has a slope of 1 and a y-intercept of -3?
Answers
Which trigonometric expressions equal Negative one-half? Check all that apply.
cos(120°)
Sine (StartFraction 7 pi Over 6 EndFraction)
sin(–120°)
Cosine (StartFraction 7 pi Over 6 EndFraction)
Cosine (negative StartFraction 10 pi Over 3 EndFraction)
Answers
Answer:
Its A B E
Step-by-step explanation:
Got it on Edge
wat is 320,000,000 written in scientific notation
Answers
Answer:
3.2 x 108
Step-by-step explanation:
it just is lol. also the 8 is to the power of ten
n-6=2n-n
Please help
Answers
Answer:
n=−6
Step-by-step explanation:
make since
What is the equation of the line?
Explain.
Answers
Answer:
y = -2/1x-2
Step-by-step explanation:
If each unit happens to be 1 then this will be correct, but it is hard to determine the equation without units.
Can you please tell me the four types of algebraic expressions?
Answers
Answer:
MonomialPolynomialBinomialTrinomialMultinomial (these are the five types of algebraic expressions)16r6sc/8r2s6 Which expression is equivalent to the given expression? Assume the denominator does not equal zero. A. B. C. D.
Answers
Answer:
B.
Step-by-step explanation:
The required expression is equivalent to the given expression is C.
An equivalent expression for 16r6sc/8r2s6 is to determine.
The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.
Numerator = it is the term positioned above in the ratio
Denominator = it is the term positioned below in the ratio
Here,
= 16r6sc/8r2s6
Factored 16 into 8 * 2
= 8*2r6sc/8r2s6
Rearrange the numerator in order to simplify relative to denominator.
=8r2s6c/8r2s6
8r2s6 are common in the denominator and the numerator of the ratio denominator does not equal zero so it implies
=c/1
Thus the required expression is equivalent to the given expression is C.
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Skyler started the week with $1,000 in her bank account. She spent
$75 for a new pair of shoes and $89 for school supplies. Which integer
represents the balance of her bank account?
Answers
Answer:
$836
Step-by-step explanation:
Add $75 and $89 together to get $164
Subtract $164 from $1,000.
1000 - 164 = 836
$836
Hope I helped :)
Please consider Brainliest :)
Please help me with all of them please?
Answers
Answer:
it shoudl be 2
Step-by-step explanation:
Answer:
3,7,11,9,5,1 all = 100
the rest = 80
the variables x and y are related proportionally. when x = 8,y= 12. find y when x =56
Answers
Answer:
y = 84
Step-by-step explanation:
[tex]\frac{8}{12} = \frac{56}{y}[/tex]
Cross multiply.
8y = 672
Divide both sides by 8 to get y = 84.
2x-1+9x+3=57 solve for X
Answers
Answer:
x = 5
Step-by-step explanation:
2x-1+9x+3=57
2x+9x=57+1-3
11x=55
x= 55/11
x= 5
Answer:
x = 5
Step-by-step explanation:
Simplifying 2x + -1 + 9x + 3 = 57
Reorder the terms: -1 + 3 + 2x + 9x = 57
Combine like terms: -1 + 3 = 2 2 + 2x + 9x = 57
Combine like terms: 2x + 9x = 11x 2 + 11x = 57
Solving 2 + 11x = 57
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2' to each side of the equation. 2 + -2 + 11x = 57 + -2
Combine like terms: 2 + -2 = 0 0 + 11x = 57 + -2 11x = 57 + -2
Combine like terms: 57 + -2 = 55 11x = 55
Divide each side by '11'. x = 5
Simplifying x = 5
♡ hope it helps♡
6-4(a+2)=8+a
What dose a equal
Answers
Answer:
-2 =a
Step-by-step explanation:
6-4(a+2)=8+a
Distribute
6 - 4a - 8 = 8+a
Combine like terms
-2 -4a = 8+a
Add 4a to each side
-2-4a+4a=8+a+4a
-2 = 8+5a
Subtract 8 from each side
-2-8 = 8+5a -8
-10 = 5a
Divide each side by 5
-10/5 = 5a/5
-2 =a
John has 1,000 v-bucks and he earns 20 weekly. Aaron has 600 v-bucks and 50 weekly. After how many weeks will Aaron have more v-bucks then John? Choose the Inequality that matches this scenario
Answers
Answer:
D
Step-by-step explanation:
PLEASE HELP I CANT FIGURE THIS OUT!!
Answers
Answer:
C
Step-by-step explanation:
I worked it out and it's right. plz give me brainliest owo
Answer:
C) 6^6
Step-by-step explanation:
When we divide same base numbers with different exponents, the answer will be the base raised to the power of the difference of those exponents:
The rule is: x^a/x^b=x^(a-b)
In this case: 6^9/6^3=6^(9-3)=6^6=46656
Therefore, C is the correct answer
Here are three lamps.
lamp C
lamp B
lamp A
Lamp A flashes every 20 seconds.
Lamp B flashes every 45 seconds.
Lamp C flashes every 120 seconds.
The three lamps start flashing at the same time.
How many times in one hour will the three lamps flash at the same time?
Answers
Answer with step-by-step explanation:
First of all, we need to calculate how many times the 3 lamps flash in a minute. We can do this by finding their LCM (least common multiple), which is 360. 360 is equivalent to 6 minutes, so that is going to be our test time. Lamp a flashes every 20 seconds, so 360/20 = 18 flashes. Then, 360/45 = 8 flashes. Finally, 360/120 = 3 flashes. 18 + 8 + 3 = 29 flashes per 6 minutes. If so, we multiply 29 by 10, because 60 minutes per hour ÷ 6 minutes = 10. So 29 × 10 = 290 flashes per hour
Hope this helped! (brainliest please)
BACK NEXT You're cooking a recipe that requires \frac{3}{5} 5 3 cup of flour, but you only want to make \frac{1}{3} 3 1 of the recipe. Which answer shows the correct amount of flour you need in the most reduced form? A \frac{1}{5} 5 1
Answers
Answer:
1/5
Step-by-step explanation:
1/3 of 3/5 is 1/5
The amount of flour you need is 1/5 cup.
5x+5y are like terms and can be added together to simplify to 10xy .
Answers
Help my niece
Will make you brainlist if your answer is right
