The amount of money which is invested at 6.8% compounded monthly, in order to have $10,000 after 10 year is $5076.
What is compound interest?
Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.
The formula for the final amount with the compound interest formula can be given as,
[tex]A=P\times\left(1+\dfrac{r}{n\times100}\right)^{nt}\\[/tex]
Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.
The rate of interest is 6.8% on the amount which is compounded monthly
The value of final amount is $10,000 after the time period of 10 years. There are total 12 months a year. Thus, the value of principal amount using the above formula is,
[tex]10000=P\times\left(1+\dfrac{6.8}{12\times100}\right)^{12\times10}\\10000=P\times1.97\\P=\dfrac{10000}{1.97}\\P=5076.14\\P\approx5076[/tex]
Thus, the amount of money which is invested at 6.8% compounded monthly, in order to have $10,000 after 10 year is $5076.
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I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER what is the value of X in simplest radical form?
X=_____
Answer:
x= 29
Step-by-step explanation:
use Pythagoras because it has a right angle and 2 sides length is given.
when the hypoteneus(side opposite the right angle) is the value you are finding out you use the equation : x²+y²=hypoteneus² (Pythagoras)
then you sub in the values you are given
(21)² + (20)² = hypoteneus²
them take the square root (²) to the opposite side to find the hypoteneus
square root (441+400) = hypoteneus
now you can put into a calculator and you get the value
hypoteneus =29 (for reference to hypoteneus is the same as X-the value you are looking for)
therefore, x=29
for extra reference, say you want to work out a side that is not the hypotenues you use the formula ,
(side u looking for)² = (hypotenues)² - (other side given)²
Answer:
x = 29
Step-by-step explanation:
To find x, we can use the Pythagorean theorem.
a^2 + b^2 = c^2
21^2 + 20^2 = x^2
441 + 400 = x^2
841 = x^2
[tex]\sqrt{841}[/tex] = [tex]\sqrt{x^2}[/tex]
29 = x
Help please i need this done!!
Answer:
answer in order from top to bottom
1. True
2. false
3. true
4. false
Answer:
.
Step-by-step explanation:
1.true
2.true
3.false
4.false
i hope it helps :)
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
the answer is (3,4)
Step-by-step explanation:
because if you check wich quadrant it is in and you check the number you can see which one it is. x,y that is how it goes so 3,4 should be correct if you line them up.
Find the area of the triangle below.
Be sure to include the correct unit in your answer.
Answer:
42.5 ft squared
Step-by-step explanation:
hope this helped brah
a – 16 = 24 simple equation
Answer:
40
Step-by-step explanation:
16+24=40
40-16=24
Answer:
a = 40
Step-by-step explanation:
Add 16 on both sides
a - 16 + 16 = 24 + 16
a = 24 +16 = 40
a = 40
Verification
LHS = a - 16 a = 40
40 - 16 = 24
RHS = 24
Both LHS and RHS are same so, our answer is correct.
a camp having a Ti inmates having food sufficient for 70 days. How many inmates have to leave after 10 days so that the food lasts for another 80 days?
Answer:
20 inmates should leave
Step-by-step explanation:
A camp having 80 inmates, has food sufficient for 70 days.
total=80*70
How many inmates should leave after 10 days so that the
remaining food lasts another 80 days?
the food served for 10 days to 80 inmates
10*80
let x be inmates leave after 10 days food last for 80 days
(80-x)*80
Total=food served for 10 days+x inmates left after 10 days
80*70=10*80+(80-x)*80
70=10+80-x
x=90-70
x=20
Pls Help Me
Pls show your answer pls and thank you
Answer:
Step-by-step explanation:
Beth's position over time is constant, which makes the problem a lot easier. You are asked for the rate of position versus time, so begin by doing that. Since the rate is constant, clearly from the table, you can take any two data points and take their ratio. Her rate would be 11 feet every 5 seconds, or equivalently 2.2 feet every second. To graph the data, put position on the x-axis and time on the y-axis. The slope will be 2.2 at every point along her bike ride.
Moving on to the third part. If Amy traveled at a rate of 75 feet every 30 seconds, then she would be traveling 2.5 feet every second. Amy's rate is larger than Beth's rate. Since the rate corresponds to the slope of the postion vs. time graph, Amy's graph will have a steeper incline since the slope is 2.5
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
The UN has called for Burma to allow access to a Fact Finding Mission to investigate reports of human rights violations and abuses and to work with which government to facilitate repatriation of Rohingya refugees?
A. Thai
B. Bangladesh
C. Indian
D. Pakistani
Answer:
B. Bangladesh
Step-by-step explanation:
he UN has called for Burma to allow access to a Fact Finding Mission to investigate reports of human rights violations and abuses and to work with Bangladesh to facilitate repatriation of Rohingya refugees, and in September 2018 the International Criminal Court (ICC) determined it had jurisdiction to investigate reported human rights abuses against Rohingyas. Burma has rejected charges of ethnic cleansing and genocide, and has chosen not to work with the UN Fact Finding Mission or the ICC.
Find the arc length of the partial circle.
Either enter an exact answer in terms of \piπpi or use 3.14 π and enter your answer as a decimal.
Answer:
arc = 7.5π units
Step-by-step explanation:
the arc length is calculated as
arc = circumference of circle × fraction of circle
the angle subtended at the centre by the arc is 360° - 90° = 270° , then
arc = 2π × 5 × [tex]\frac{270}{360}[/tex]
= 10π × [tex]\frac{3}{4}[/tex]
= [tex]\frac{30\pi }{4}[/tex]
= 7.5π
Find the value of x Using parallel cut by the transversal (show your work)
Answer:In the following diagram, two parallel lines are cut by a transversal. What is the value of x x? Solution: The two angles 3x −15 3 x − 15 and 2x +7 2 x + 7 are equivalent. That is: 3x −15 = 2x +7 3 x − 15 = 2 x + 7
In the following diagram, two parallel lines are cut by a transversal. What is the value of x x? Solution: The two angles 3x −15 3 x − 15 and 2x +7 2 x + 7 are equivalent. That is: 3x −15 = 2x +7 3 x − 15 = 2 x + 7
Step-by-step explanation: : 3
A person draws a card from a hat. Each card is one color, with the following probabilities of being drawn: 1/20 for black, 1/15 for pink, 1/10 for white, and 1/5 for red. What is the probability of pulling a black or white card, written as a reduced fraction?
Answer:
3/20
Step-by-step explanation:
OR means +1/20 + 1/101/20 + 2/203/20May someone please help me with this problem and tell me where the steps go in order
Answer:
Hello, so most of your steps are in the correct order. All you need to do is switch is the following steps.
x = -3 ± 5/2 should go before x = -3 + 5/2 and x = -3 - 5/2 as the second seperates the the ± into + and -
[You need to switch steps 4 and 5]
if x = 10 y = 9 work out x(x+2y)
Answer:
your answer is 280
Step-by-step explanation:
Because you already know what X and Y are all you will have to do is plug them in
10 (10 + 2(9))
2*9= 18
10 (10 + 18)
10+18= 28
10(28)
280
13-18 Express the quantity as a single logarithm.
18. [tex]\ln b+2 \ln c-3 \ln d[/tex]
If csc ( x ) = 4, for 90 ∘ < x < 180, then sin ( x 2 ) = ? cos ( x 2 ) = ? tan ( x 2 ) = ?
Answer:
I'm assuming where you wrote x2, you meant 2x.
Anyway, if csc (x) = 2, since csc(x) = 1/sin(x), we know that 1/sin x = 2, so sin (x) = 1/2. Since sin2x + cos2x = 1, cos2x = 1 - sin2x, so cos x = √1 - sin2x. In this case, cos x = √ 1 - (1/2)2 = √(3/4) = (√3)/2. Finally, since sin x = opp / hyp , cos = adj/ hyp: sin x / cos x = (opp/hyp)/(adj/hyp) = opp/adj = tan x. So this means that tan x = sin x / cos x = 1/2 / √ 3 / 2 = 1/√3 = √3 / 3
At this point, all that is necessary is to use the double angle formulas for sin, cos, and tan.
sin (2x) = 2 sin x cos x = 2 (1/2) (√3/2) = √3 / 2
cos (2x) = cos2x - sin2x = (√3/2)2 - (1/2)2 = 3/4 - 1/4 = 1/2
tan (2x) = 2 tan x / (1 - tan2x) = 2 (√3 / 3) / ( 1 - (√3/3)2) = 2/√3 / (1 - 1/3) = 2/√3 / (2/3) = 3/√3 = √3
To sum up, sin (2x) = √4 / 2, cos (2x) = 1/2, and tan(2x) = ✓3.
Step-by-step explanation:
BRAIN LY FAST
MARK A BRAINLESS
[tex]\sin\left(\frac{x}{2}\right) = \pm\frac{\sqrt{4 + \sqrt{15}}}{\sqrt{8}}\\\cos\left(\frac{x}{2}\right) = \pm\frac{\sqrt{4 - \sqrt{15}}}{\sqrt{8}}\\\tan\left(\frac{x}{2}\right) = \pm\frac{\sqrt{4 + \sqrt{15}}}{\sqrt{4 - \sqrt{15}}}\\[/tex]
To find sin(x/2), cos(x/2), and tan(x/2), we need to use the half-angle identities for trigonometric functions.
Given: csc(x) = 4 for 90° < x < 180°
Step 1: Find sin(x). Since csc(x) is the reciprocal of sin(x), we have:
csc(x) = 1/sin(x) = 4
Now, find sin(x):
sin(x) = 1/csc(x) = 1/4
Step 2: Find cos(x). To do this, use the Pythagorean identity:
[tex]sin^2(x) + cos^2(x) = 1\\cos^2(x) = 1 - sin^2(x) \\= 1 - (1/4)^2 \\= 1 - 1/16 \\= 15/16[/tex]
Now, find cos(x):
[tex]\cos(x) = \pm \sqrt{\frac{15}{16}}[/tex]
Since x is in the second quadrant (90° < x < 180°), cos(x) is negative. So,
[tex]\cos(x) = - \sqrt{\frac{15}{16}}[/tex]
[tex]= -\sqrt{15} / 4[/tex]
Step 3: Find tan(x). To do this, use the identity:
[tex]\tan(x) = \frac{\sin(x)}{\cos(x)}\\\tan(x) = \frac{\frac{1}{4}}{-\frac{\sqrt{15}}{4}}\\\tan(x) = -\frac{1}{\sqrt{15}}[/tex]
Now, let's find sin(x/2), cos(x/2), and tan(x/2) using the half-angle identities:
Half-angle identities:
[tex]\sin \left ( \frac{x}{2} \right ) = \pm \sqrt{\frac{1 - \cos x}{2}}\\\cos \left ( \frac{x}{2} \right ) = \pm \sqrt{\frac{1 + \cos x}{2}}\\\tan \left ( \frac{x}{2} \right ) = \frac{\sin \left ( \frac{x}{2} \right )}{\cos \left ( \frac{x}{2} \right )}[/tex]
Step 4: Find sin(x/2):
[tex]\sin \left( \frac{x}{2} \right) = \pm \sqrt{\frac{1 - \cos x}{2}}\\\sin \left( \frac{x}{2} \right) = \pm \sqrt{\frac{1 + \frac{\sqrt{15}}{4}}{2}}\\\sin \left( \frac{x}{2} \right) = \pm \sqrt{\frac{4 + \sqrt{15}}{8}}\\\sin \left( \frac{x}{2} \right) = \pm \frac{\sqrt{4 + \sqrt{15}}}{\sqrt{8}}\\\sin \left( \frac{x}{2} \right) = \pm \frac{\sqrt{4 + \sqrt{15}}}{2}[/tex]
Step 5: Find cos(x/2):
[tex]\cos\left(\frac{x}{2}\right) = \pm\sqrt{\frac{1 + \cos(x)}{2}}\\\cos\left(\frac{x}{2}\right) = \pm\sqrt{\frac{1 + \left(-\frac{\sqrt{15}}{4}\right)}{2}}\\\cos\left(\frac{x}{2}\right) = \pm\sqrt{\frac{1 - \frac{\sqrt{15}}{4}}{2}}\\\cos\left(\frac{x}{2}\right) = \pm\sqrt{\frac{4 - \sqrt{15}}{8}}\\\cos\left(\frac{x}{2}\right) = \pm\frac{\sqrt{4 - \sqrt{15}}}{\sqrt{8}}\cos\left(\frac{x}{2}\right) = \pm\left(\frac{\sqrt{4 - \sqrt{15}}}{\sqrt{8}}\right)[/tex]
Step 6: Find tan(x/2):
[tex]\tan \left ( \frac{x}{2} \right ) = \frac{\sin \left ( \frac{x}{2} \right )}{\cos \left ( \frac{x}{2} \right )} = \pm \frac{\sqrt{4 + \sqrt{15}}}{\sqrt{4 - \sqrt{15}}}[/tex]
So, the values are:
[tex]\sin\left(\frac{x}{2}\right) = \pm\frac{\sqrt{4 + \sqrt{15}}}{\sqrt{8}}\\\cos\left(\frac{x}{2}\right) = \pm\frac{\sqrt{4 - \sqrt{15}}}{\sqrt{8}}\\\tan\left(\frac{x}{2}\right) = \pm\frac{\sqrt{4 + \sqrt{15}}}{\sqrt{4 - \sqrt{15}}}\\[/tex]
Note: The ± symbol indicates that there are two possible solutions due to the quadrant restrictions.
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Complete Question is:
If csc ( x ) = 4, for 90 ∘ < x < 180, then sin ( x /2 ) = ? cos ( x /2 ) = ? tan ( x /2 ) = ?
Helpppppppppp please
Answer:
Letting f represent the value of the flower and b represent the value of the butterfly, we have f = 20 and b = -53.
Step-by-step explanation:
7f + 2b = 34 ------> 7f + 2b = 34
3f + b = 7-----------> 6f + 2b = 14
-----------------
f = 20, b = -53
If the level of significance (α) is 0.005 in a two-tail test, how large is the nonrejection region under the curve of the t distribution?
A. 0.005
B. 0.995
C. 0.9975
D. 0.050
Simplify (-18²)³.
O 18-6
O -185
1
186
O -186
Answer:
-18^6
Step-by-step explanation:
(-18^2)^3 = -18^(2*3) = -18^6
evaluate this function f(x)= 1/3 • 6x at x=2
Answer:Im pretty sure the slope is 2.
Step-by-step explanation:
20 characters just for brainly it’s all urs
Answer:
1 mm Hg per year
Explanation:
Here equation : y = x + 95
Comparing with slope intercept formula: y = mx + b
where m is slope and b is y-intercept
We can identify that this equation slope: 1 and y-intercept: 95Slope determines the increase per year.
Equation given
y=x+95Comapre to slope intercept form y=mx+b
Slope=1Y intercept=b=95Rate of change=Slope=1mm HG /year
Option AVigorous intensity physical activity target heart rate ranges between
A. 80-9096
B. 70-80%
C. 75-8596
D. 65-75%
Answer:
70% to about 85% of your maximum heart rate
Step-by-step explanation:
I’m Literally soo confused
3y - 4
hope it helps...!!!
HELP ME RN PLEASE
We-Haul rents a moving truck for $20.00 and $0.45 per mile. You-Haul rents the same size moving truck for $1.00 per mile but with no upfront charge.
Let c represent the overall cost for renting the moving truck.
Let m represent the miles traveled.
Which of the following statements are true about this situation? Select all that apply.
a
The following equations could be used to represent the situation: c = 0.45m + 20 c = 1.00m
b
The y-intercepts of each line represent the upfront charge to rent the moving truck.
c
At 38 miles, We-Haul would be a better deal.
d
The two truck rentals will cost the same around mile 35.36
e
The rate of change for You-Haul is larger than the rate of change for We-Haul
Answer:
*select all that apply*
All of these are true
Step-by-step explanation:
Answer choice A:
We-Haul: c = 0.45m + 20
You-Haul: c = 1m
--> TRUE
Answer Choice B:
the y-intercept is the upfront charge bc the charge for "per mile" is attached to "mx" and the "b" (y-intercept) is the upfront charge
--> TRUE
Answer choice C:
We-Haul -
c = 0.45(38) + 20 = $37.10
You-Haul -
c = 1m = $38.00
--> TRUE
answer choice D:
We-Haul -
c = 0.45(35.36) + 20 = $35.91
You-Haul -
c = 1m = $35.36
Since the two costs are very close to being the same, I think this is a true statement also
--> TRUE
Answer choice E:
You-Haul's rate is 1 mph whereas We-Haul's rate is 0.45mph. You-Haul's rate is 0.55 larger than We-Haul's
--> TRUE
Hope this helps :)
Solve 169x2 − 16 = 0 by using square roots.
A. ±13/4
B. ±169/16
C. No solution
D. ±4/13
Answer:
Option D, [tex]x =[/tex] ± [tex]4/13[/tex]
Step-by-step explanation:
Step 1: Add 16 to both sides
[tex]169x^2 - 16 = 0[/tex]
[tex]169x^2 - 16 + 16= 0 + 16[/tex]
[tex]169x^2 = 16[/tex]
Step 2: Divide 169 from both sides
[tex]\frac{169x^2}{169} = \frac{16}{169}[/tex]
[tex]x^2 = 0.09467[/tex]
Step 3: Square root both sides
[tex]\sqrt{x^2} = \sqrt{0.09467}[/tex]
[tex]x =[/tex] ± [tex]0.30769[/tex]
[tex]x =[/tex] ± [tex]4/13[/tex]
Answer: Option D, [tex]x =[/tex] ± [tex]4/13[/tex]
Translate sentence into inequality
Answer:
c+3<22
Step-by-step explanation:
c+3<22
If f(x)=x²-5x-6, find the input values that make the function 0.
Answer:
6 and -1
Step-by-step explanation:
If you take the equation and set it to be 0, you can find the input values that make it 0.
[tex]x^2-5x-6=0[/tex]
Since this is a quadratic, equation you can use the quadratic formula with the values:
a = 1b = -5c = -6The quadratic formula is:
[tex]x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}[/tex]
If you plug the values for a, b, and c, you get:
x = 6 and x = -1
Find the growth or decay percentage y= 18(0.914)m
The function y = 18(0.914)^m is having exponential decay. The decay percent of this function is 8.6%
What is exponential growth or decay function?Consider the function:
[tex]y = a(1\pm r)^m[/tex]
where m is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.
If there is plus sign, then there is exponential growth happening by r fraction or 100r %
If there is negative sign, then there is exponential decay happening by r fraction or 100r %
For this case, the exponential growth/decay function given is:
[tex]y = 18(0.914)^m[/tex]
That means, there is multiplication of (0.914) for each growth/decay.
We can rewrite 0.914 as:
0.914 = 1 - 0.086
This shows decay as multiplication with 0 < quantity < 1 makes the number less in magnitude.
A quantity times (1 - 0.086) = that quantity - that quantity times 0.086
and we can write 0.086 = 8.6/100 = 8.6%
Thus, we're decreasing 8.6% each time from a quantity when we multiply that quantity with (1-0.086)
Thus, there is exponential(exponential because of the presence of variable 'm' as exponent in the given function) decay of 8.6%.
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CAN SOMEBODY HELP ME
B =
C =
Answer:
b=-30;c=41
Step-by-step explanation:
I don't really know how to explain it... Vertex form, so factor out 5, divide by two, that has to be three. so .1b=3, b=30... opposite of the square of 3 times 5 add c=-4, so -45+c=-4, c=41. Just learn vertex form, and complete the perfect square. Good luck!
Simplify 2x-(-3x+9). 5x-9 –x-9 x+9
Answer:
5x - 9
Step-by-step explanation:
2x -(-3x + 9)
2x + 3x - 9) DISTRIBUTE -1
5x - 9 COMBINE LIKE TERMS