Answer:
Step-by-step explanation:
Continuous compounding has the form
[tex]A=Pe^{rt}\\ \\ t=\frac{ln\frac{A}{P}}{r}\\ \\ t=\frac{ln\frac{7440}{5900}}{0.02}\\ \\ t\approx 11.6\\ \\ t=12[/tex]
Therefore it will take 12 years for the value of the account to reach $7,440.
What is Compound Interest ?Compound interest (or compounding interest) is the interest on a loan or deposit calculated based on both the initial principal and the accumulated interest from previous periods.
Annabelle invested amount $5900
Final Amount $7440
Rate = 2% compounded continuously
When compounded Continuously ,
[tex]\rm A = P e^{rt}\\\\\\t=\dfrac{ln \frac{A}{P}}{r}\\\\\\\\t=\dfrac{ln \frac{7440}{5900}}{0.02}\\\\t= 12[/tex]
it will take 12 years for the value of the account to reach $7,440.
To know more about Compound Interest
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Please help! It would mean a lot! I will give brainliest!
Prove your answer as to why 5 mm, 10 mm, and 1 mm will or will not form a triangle.
Answer:
Step-by-step explanation:
10-5=5 and 10+5=15 so it would need to be greater than 5 and less than 15 for those two
For 5 and 1 to work
5-1=4 and 5+1=6 so it would need to be greater than 4 and less than 6
And 10-1=9 and 10+1=11 so it would need to be greater than 9 and less than 11
Is all of these solutions 5,10,and 1 wouldn't work
Allison lives in Kansas City, which has coordinates of 39o5'59" N, 94o34'41 W (39.0997o N, 94.5783o W). (Earth's radius is 3950 miles). What is Allison's angular velocity in radians/hour? What is Allison's linear velocity, with respect to the center of earth in miles per hour?
Answer:
Allison's angular velocity is approximately π/12 radians/hour
Allison's linear velocity, with respect to the Earth, v is approximately 802.52 miles/hour
Step-by-step explanation:
The coordinates of Kansas City where Allison lives = 39°5'5'' N, 94°34'41''W (39.0997° N, 94.5783° W)
The radius of the Earth, R = 3950 miles
The rate of rotation of the Earth ≈ 2·π radians in 24 hours
The angular velocity of the Earth, ω ≈ 2·π/24 radians/hour ≈ π/12 radians/hour
The angular velocity of the Earth = Allison's angular velocity ≈ π/12 radians/hour
Allison's angular velocity, ω ≈ π/12 radians/hour
Allison's radius or revolution with respect to the axis of the Earth, r = 3950 miles × cos(39.0997°) ≈ 3,065.39635 miles
The linear velocity, v ≈ ω × r
∴ v ≈ π/12 radians/hour × 3,065.39635 miles = 802.518887792 miles/hour
Allison's linear velocity, with respect to the Earth (0 linear velocity), v ≈ 802.52 miles/hour
Answer this correctly I’ll give brainalist + 10 points
the sum of supplementary angles is 180 degree
therefore
x +2x = 180°
3x = 180
X = 180/3 = 60°
the value of X is 60°
Help please I give brainliest
Answer:
A) No Association
Step-by-step explanation:
Your shoe size and your math grade have nothing whatsoever to do with each other, so the answer would be No Association.
Hope it helps!
The area of a circle is 4πm2 What is the circumference , in meters ? Express your answer in terms of π
Answer:
4(pie)m^2
Step-by-step explanation:
area of a circle is r^2(pie)
so if the area of the circle is 4(pie) set that equal to r^2(pie)
the pies' cancell
and you are left with 4=r^2
r=2
now the formula for the circumference is
2r(pie)
insert 2 for r
2(2)(pie)
4(pie)m^2 is the circumference
Hope that helps :)
The set of whole numbers contains the set of rational numbers.
Every square root is a rational number
The integers are closed under addition.
True or False?
If false provide a counterexample.
Answer:
false -- 2/3 is not a whole number
true -- a terminating decimal is like 0.35 which is 35/100
false
true
so, 2 out of 4.
help please bdhsfhisbf
Valeria and Christina both want to run for class president. In order to appear on the ballot,
they must collect a certain number of signatures. So far, Valeria has 26 signatures and
Christina has 53. Now, Valeria is collecting signatures at a rate of 6 per day, whereas
Christina is collecting 3 signatures per day.
Assuming that their rates stay the same, the two will eventually collect the same number of
signatures. How many signatures will they both have at that time? How many days will it
take?
Answer:
10 days
Step-by-step explanation:
What is the next number in the sequence below?
1 3 5 7
Answer: 9
Step-by-step explanation:
It's odd numbers. Also the pattern is counting by 2 every time.
If Tony Has 30 cookies, 10 sodas, and 20 lollipops and he eats 10 cookies, drinks 5 sodas and 10 lollipops, what does he have now?
A: Diabetes
B: No self control
C: Hypertension
D: All of the above
Answer:
C: Hypertension
Step-by-step explanation:
I'd say Hypertension would be the only educational way to answer this question in a scientific way. As u can see cookies,lollipops and sodas have a lot of sugar which could cause high blood pressure.
PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA 40 POINTS** !! DONT SKIP :((
5. A football team plans to raise ticket prices next season by 9.5%. If each football admission ticket
costs $34.50 this season, approximately how much will an admission ticket cost next season?
In ADEF, the measure of ZF=90°, the measure of ZE=53°, and DE = 57 feet. Find the
length of FD to the nearest tenth of a foot.
E
539
57
F
D
X
Answer:
Check pdf
Step-by-step explanation:
Look at this number sentence.
6 x ⬛️ =6/7
Which fraction makes the number sentence true?
A. 1/7
B. 1/6
C. 6/7
D. 7/1
Answer:
1/7
Step-by-step explanation:
You have to multiply across the top then the bottom.
4 adults and 3 children to go to a show how much is if for the 4 adults
More trig questions! Given that sin(C) = cos(B)Find the measure of ∠C if m∠C=10x+4 and the m∠B = 4x+2
Answer:
angle C = 64 degrees
Step-by-step explanation:
sin C = cos B
angle C = 10x+4
angle B = 4x+2
angle C + angle B = 90 degrees
10x+4 + 4x+2 = 90
simplify:
14x+6 = 90
14x = 84
x = 6
angle C = 64 degrees
Why is trig like this?? B:What is the appropriate trig ratio that can be used to solve for x? C:Write the equation
Answer:
sin
sin 20 = x/15
15 sin 20 =x
Step-by-step explanation:
We want to find the opp/ hyp
sin 20 = opp / hyp
sin 20 = x/15
15 sin 20 =x
Which of the following is not True.
A. Angle 1 and Angle 8 are alternate exterior angles.
B. Angle 8 and Angle 4 are corresponding angles.
C. Angle 3 and Angle 2 are Vertical Angles.
D. Angle 5 and Angle 3 are Alternate Exterior Angles.
three million four hundred
ninety-three thousand
Word form
Answer:
You are correct, the number 3,493,000 is written in word form in your question.
Step-by-step explanation:
13 + 4 (2x + 5)
Help pls
Answer:
8x + 33
Solution:
13 + 4 (2x+5)
4 • 2x = 8x
4 • 5 = 20
20 + 15 = 33
8x + 33 Is your answer
X
the sum of first ten numbers prime numbers
Answer:
Step-by-step explanation:
2 3 5 7 11 13 17 19 23 29
The sum = 129
I Need help on this question
Answer:
I’m sorry, can you please tell me the options for the drop down menu. Thanks, I will edit my answer when you do.
Step-by-step explanation:
c) 20 blank CD-Roms cost £3.20
How much do 75 CD-Roms cost?
Answer:
the cost of 75 CD Roms is £12
Step-by-step explanation:
The computation of the 75 CD roms cost is shown below:
Since it is mentioned that
for 20 blank CD roms it cost £3.20
So for 75 CD Roms, the cost would be
= £3.20 × 75 ÷ 20
= £12
Hence, the cost of 75 CD Roms is £12
The “Chippy” brand of chips cost $2.30 per bag. The “Crunchy Goodness” chips cost $6.30 for 3 bags of chips. Which bag has a lower unit price?
Answer: The chippy brand
Step-by-step explanation: Since 3 bags for the crunchy goodness is 6.30 dollars, we don;t need to worry about that. SO, lets see how much money is 3 bags from the chippy brand.
2.30 x 3 = 6.90
Chippy: $6.90
Crunchy Goodness: $6.30
Now that we compared the Chip brans, its obvious that crunchy goodness is cheaper
Answer:
The crunchy goodness chips.
Step-by-step explanation:
If the crunchy goodness chips cost $6.30 for 3 bags and the chippy chips cost $2.30 for each bag, you do $2.30 times 3. That equals 6.90. So, $6.30 is less than $6.90 meaning that crunchy goodness chips have a lower price.
WILL MARK BRAINLIEST ONLY HAVE 5 MINUTES EXTRA POINTS
Answer:
A - 8 out of 71
Step-by-step explanation:
I’m guessing a, if I’m right can you mark brainliest!
Graph the function.
h(x)=1/3x^2 + 2x - 4
Answer:
this should be right
Step-by-step explanation:
Cora babysat for 3 1/2 hours and charged at $28. At the same hourly rate, what would she charge for 5 1/2 hours of babysitting?
42.9 goodluck :) ...
Which expression is equivalent to (3-4)+5
Answer:
4
Step-by-step explanation:
(3-4)+5
-1+5
4
Use the figure for 1-4.
E
HT
F
K
А
D
B
2. Use geometry notation to identify a ray.
Answer: the ray is K to A
Step-by-step explanation: a ray can be defined as a part of a line that has a fixed starting point (being K) but no fixed end point
(I would like to see the answer choices please)
Solve for x................
Answer:
x = 17
Step-by-step explanation:
Use the interior angle sum theorem which says:
if n is the number of sides the sum of the interior angles is 180(n-2)
there are 6 sides, so the interior angle sum is 180(6 - 2) = 180 * 4 = 720.
This means that if you add all the angles you will get 720, so:
[tex]110 + 8x - 1+5x+36+116+7x+19+6x-2=720[/tex]
[tex]26x+278=720\\26x = 442\\x = 17[/tex]