Answer: $3.91
Step-by-step explanation:
Luke investment:
This is compound interest so the future value formula will be used:
= Amount * ( 1 + rate) ^ no. of years
= 4,000 * ( 1 + 1.8%)³
= $4,219.91
Alexa investment:
Simple interest is calculated with the formula:
= Amount * ( 1 + rate * time)
= 4,000 * ( 1 + 1.8% * 3)
= $4,216
Amount Luke made more than Alexa:
= 4,219.91 - 4,216
= $3.91
A new car is purchased for $26,000 and over time its value depreciates by one half
every 5 years. What is the value of the car 7 years after it was purchased, to the
nearest hundred dollars?
Answer: $203
Step-by-step explanation: We first start out with the exponential decay model which is y=a(1-r)^t, then plug in the numbers of your problem:
-y=26,000(1-0.50)^7
-y=26,000*0.50^7
-y=26,000*0.0078125
-y=203.125
Then, after rounding to the nearest hundred dollars you get your answer....
:) hope this helped a bit
The value of the car 7 years after it was purchased will be $203.
What is exponential decay?A quantity lowers gradually at first during exponential decay before rapidly declining after that. Half-life may be calculated using the exponential decay formula, which is also used to estimate population decrease.
It is given that, A brand-new car costs $26,000 to buy, and every five years, its value decreases by 50%.
We have to find the value of the car 7 years after it was purchased
The exponential decay model, y=a(1-r)t, is where we begin. The data from your problem are then entered.
y=-26,000(1-0.50)^7
y=-26,000*0.50^7
y=-26,000*0.0078125
y=-203.125 (-ve shows the value is declining)
Thus, the car will be worth $203 seven years after it was bought.
Learn more about the exponential decay here:
brainly.com/question/14355665
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Sarah uses a recipe to make 8 gallons of her favorite mixed-berry juice. The containers she plans to use to
store the juice have a capacity of 1 pint.
How many containers will Sarah need?
Sarah will need
containers
Size of each of mr sirac's classes
Answer:
You didn't add any images maybe it was a mistake?
Step-by-step explanation:
PLEASE HELP I NEED THIS TO PASS
Answer:
Step-by-step explanation:
total sum of Triangle's angles is 180 deg:
than: x = 180 -61-56 = 63
Answer:
63 degrees
Step-by-step explanation:
All three angles in a triangle is always 180, so 180-61-56=63 degrees
Please mark Brainliest.
Have a great weekend!
Two tracking stations 525 m. apart measure angles of elevation of a weather balloon to be 73.5 degree and 54.2 degree. How high is the balloon at the time of the measurement? Round to the nearest meter.(show your work)
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Answer:
516 m or 1235 m
Step-by-step explanation:
The height of the balloon depends on the geometry of the problem. Assuming the stations are in line with each other and the balloon, there are a couple of possible configurations that satisfy the problem description. They are shown in the attachment.
If the balloon is between the stations, the height is 516 m.
If the balloon is not between the stations, the height is 1235 m.
_____
A graphing program solves the problem nicely. If you want to solve it algebraically, You can write equations for the horizontal distance from each station to the balloon.
d1 = h/tan(54.2°)
d2 = h/tan(73.5°)
In one of the possible geometries, ...
d1 + d2 = 525
h(1/tan(54.2°) +1/tan(73.5°)) = 525
h = 525tan(54.2°)tan(73.5°)/(tan(54.2°) +tan(73.5°)) ≈ 516.0 . . . meters
In the other possible geometry, ...
d1 -d2 = 525
h(1/tan(54.2°) -1/tan(73.5°)) = 525
h = 525tan(54.2°)tan(73.5°)/(tan(73.5°) -tan(54.2°)) ≈ 1235.3 . . . meters
The balloon could be 516 or 1235 meters high.
PLEASE HELP !! ILL GIVE BRAINLIEST !! 100 POINTS
Answer:
6t=9? let me know if that's correct x
Step-by-step explanation:
I need help please.
Answer:
that anzwer will be (9) ok
Answer:
D.
Step-by-step explanation:
Find the area of the figure.
(20 pts)
Answer:
d. 122 units^2
Step-by-step explanation:
Study the graphs, then select the best answers from the drop-down menus.
The greatest number of people immigrated during the
westward expansion
.
During the Progressive Era, most immigrants came from
.
During the
, there was a peak of about 800,000 immigrants coming to the United States.
1. b 2. a 3. a
100% correct edge 2021
Step-by-step explanation:
Answer:
1:✔ post-1965 immigration
2:✔ Southern and Eastern Europe
3: ✔ immigration pause
Step-by-step explanation:The other person is correct as well ou should give the brainiest.
Whats (1÷1/4) (3÷1/2) (1/4÷3)
Answer:
37
-----
56
Step-by-step explanation:
According to a health statistics center, the mean weight of a 20-to-29-year-old female is 156.5 pounds, with a standard deviation of 51.2 pounds. The mean weight of a 20-to-29-year-old male is 183.4 pounds, with a standard deviation of 40.0 pounds. Who is relatively heavier: a 20-to-29-year-old female who weighs 160 pounds or a 20-to-29-year-old male who weighs 185 pounds
mind fact sub happy wala birthday quiz frist video
Two angles are complementary.
If one angle measures 45
degrees, then what is the
measure of the other angle? *
Answer:
45
Step-by-step explanation:
i will give 25 points for these 4 answers
Answer:
oh really
Step-by-step explanation:
but from what am seeing here I'm able to get 5 pts
so how do you wannna do it
PLEASE HELP IM TAKING THE TEST NOW AND I CANT FIGURE IT OUT PLEASE HELP!!!!!!!!!!!!!! Choose the function table that matches the given rule. (1 point)
Rule: output = input - 6
o
Input Output
5
-2
3
-6
0
-6
O Input Output
- 7
-13
-2
-8
6
0
Input
Output
9
3
-6
2
6
0
Input
Output
-2.
-8
2
8
5
-3
Answer:
what's
Step-by-step explanation:
the test
helppppppppppppppppp
Answer:
c = 2.9 yards
Step-by-step explanation:
2c = 42.4 - (18.3 x 2)
2c = 42.4 - 36.6
2c = 5.8
c = 5.8 / 2
c = 2.9 yards
Hope that helps! :)
A root emerges from a seed because of the force of?
A root emerges from a seed because of the Force of Hydrotropism.
Here a root emerges from a seed.
What is Hydrotropism?
The growth or movement of a fixed organism, especially a plant, or a part of an organism towards or away from water, is called Hydrotropism.
A root emerges from a seed because of the Force of Hydrotropism.
Learn more about the Hydrotropism visit:
https://brainly.in/question/710216
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middle school problems and i need help
Answer:
A. 47%
Step-by-step explanation:
The total amount of people who preferred indoor seating was 70. The total amount of people sureveyed was 148. So 70 divided by 148, or 70/148, is
0.47 =47%
A plane flying horizontally at an altitude of 3 miles and a speed of 500 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 4 miles away from the station. (Round your answer to the nearest whole number.)
Answer:
The rate at which the distance from the plane to the station is increasing is 331 miles per hour.
Step-by-step explanation:
We can find the rate at which the distance from the plane to the station is increasing by imaging the formation of a right triangle with the following dimensions:
a: is one side of the triangle = altitude of the plane = 3 miles
b: is the other side of the triangle = the distance traveled by the plane when it is 4 miles away from the station and an altitude of 3 miles
h: is the hypotenuse of the triangle = distance between the plane and the station = 4 miles
First, we need to find b:
[tex] a^{2} + b^{2} = h^{2} [/tex] (1)
[tex] b = \sqrt{h^{2} - a^{2}} = \sqrt{(4 mi)^{2} - (3 mi)^{2}} = \sqrt{7} miles [/tex]
Now, to find the rate we need to find the derivative of equation (1) with respect to time:
[tex]\frac{d}{dt}(a^{2}) + \frac{d}{dt}(b^{2}) = \frac{d}{dt}(h^{2})[/tex]
[tex] 2a\frac{da}{dt} + 2b\frac{db}{dt} = 2h\frac{dh}{dt} [/tex]
Since "da/dt" is constant (the altitude of the plane does not change with time), we have:
[tex] 0 + 2b\frac{db}{dt} = 2h\frac{dh}{dt} [/tex]
And knowing that the plane is moving at a speed of 500 mi/h (db/dt):
[tex]\sqrt{7} mi*500 mi/h = 4 mi*\frac{dh}{dt}[/tex]
[tex]\frac{dh}{dt} = \frac{\sqrt{7} mi*500 mi/h}{4 mi} = 331 mi/h[/tex]
Therefore, the rate at which the distance from the plane to the station is increasing is 331 miles per hour.
I hope it helps you!
Please help me solve this problem
Answer:
62 + 64 + 55 + s = 242
61 students will ride Bus #4.
Step-by-step explanation:
The equation I will use here is 62 + 64 + 55 + s = 242
62 + 64 + 55 + s = 242 {Going from left to right, subtract 62, 64, & 55 from 242}
64 + 55 + s = 180 {242 - 62 = 180}
55 + s = 116 {180 - 64 = 116}
s = 61 {116 - 55 = 61}
61 students will ride Bus #4.
Suppose that each observation in a random sample of 100 fatal bicycle accidents in 2015 was classified according to the day of the week on which the accident occurred. Data consistent with information on the Insurance Institute for Highway Safety are given in the following table.
Day of the Week Frequency
Sunday 16
Monday 12
Tuesday 12
Wednesday 13
Thursday 14
Friday 15
Saturday 18
a. Based on these data, is it reasonable to conclude that the proportion of fatal bicycle accidents in 2015 was not the same for all days of the week? Use a significance level of 0.05.
b. Write interpretation
Answer:
The calculated χ² = 0.57 does not fall in the critical region χ² ≥ 12.59 so we fail to reject the null hypothesis and conclude the proportion of fatal bicycle accidents in 2015 was the same for all days of the week.
Step-by-step explanation:
1) We set up our null and alternative hypothesis as
H0: proportion of fatal bicycle accidents in 2015 was the same for all days of the week
against the claim
Ha: proportion of fatal bicycle accidents in 2015 was not the same for all days of the week
2) the significance level alpha is set at 0.05
3) the test statistic under H0 is
χ²= ∑ (ni - npi)²/ npi
which has an approximate chi square distribution with ( n-1)=7-1= 6 d.f
4) The critical region is χ² ≥ χ² (0.05)6 = 12.59
5) Calculations:
χ²= ∑ (16- 14.28)²/14.28 + (12- 14.28)²/14.28 + (12- 14.28)²/14.28 + (13- 14.28)²/14.28 + (14- 14.28)²/14.28 + (15- 14.28)²/14.28 + (18- 14.28)²/14.28
χ²= 1/14.28 [ 2.938+ 5.1984 +5.1984+1.6384+0.0784 +1.6384+13.84]
χ²= 1/14.28[8.1364]
χ²= 0.569= 0.57
6) Conclusion:
The calculated χ² = 0.57 does not fall in the critical region χ² ≥ 12.59 so we fail to reject the null hypothesis and conclude the proportion of fatal bicycle accidents in 2015 was the same for all days of the week.
b. It is reasonable to conclude that the proportion of fatal bicycle accidents in 2015 was the same for all days of the week
HELP WILL GIVE BRANLIEST!
Answer:
512
Step-by-step explanation:
To find the volume of a rectangular prism you multiply the length × width × height
= 8 × 8 ×8
= 512
One of Natalia's professors claims that 13% of the students at their college frequently wear hats. Natalia feels that the actual rate is much lower. She selects a random sample of 100 students at the college and finds that only 9 of them wear hats frequently. To determine if her data provide convincing evidence that the true proportion is less than 13%, she conducts 200 trials of a simulation. Natalia is testing the hypotheses. H o p = 13% and Ha p< 13%, where p = the true proportion of students at the college who frequently wear hats. Based on the results of the simulation, what is an estimate of the P-value of the test?
Answer:
0.005 or A
Step-by-step explanation:
EDGE2022
I need help with this qusetion
Answer:
Its A
Step-by-step explanation:
Answer:
D. Divide 151 by 479
Step-by-step explanation:
What is the approximate length?
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Answer:
(a) 75.5
Step-by-step explanation:
There are two ways you can work this.
Pythagorean theorem
Triangle CMP is a right triangle. CM = AC = 55. CP = CB -PB = 55 -15 = 40. Then length PM can be found from ...
PM² +CP² = CM²
PM = √(CM² -CP²) = √(55² -40²) = √1425 ≈ 37.749
The length MN is twice the length of PM, so is ...
MN = 2×PM = 2×37.349 = 75.498
The length of MN is about 75.5.
__
Using chord relationships
The products of the different lengths for the same chord are the same for the crossed chords.
AP×PB = MP×PN
We know MP = PN, so ...
MP = √(AP×PB) = √((55+40)(15)) = √1425
As before, MN = 2×MP = 2√1425
MN ≈ 75.5
What is the volume of this rectangular prism 2/3cm 5cm 6cm?
∠a and ∠b are complementary angles. ∠a measures 22°.
what is the measure of ∠b?
Answer:
∠b = 68°
Step-by-step explanation:
Complementary angles are a pair of angles that, added together, equal 90°.
If ∠a = 22°, then the measure of∠b must equal 90° when added to that of ∠a.
To find the measure of ∠b, then, we can subtract ∠a from 90°.
90 - 22 = 68
The measure of ∠b, then, is 68°.
I hope this is helpful ^^
Good luck
Please help me i dont understand
Answer:
It is linear. It is linear because it is a strait line which means that it is a function. A not linear line would look like a noodle.
a line that passes through the point (-3, -6) has a slope of 4/3. which is another point on this line?
Help it's due today
A line that passes through the point (-3, -6) has a slope of 4/3. Which is another point on this line?
(3, 3)(0, 6)15 PROPERTIES OF A PARALLELOGRAM PLS. I NEED IT FOR NOW 15
Answer:
Opposite sides are congruent (AB = DC).
Opposite angels are congruent (D = B).
Consecutive angles are supplementary (A + D = 180°).
If one angle is right, then all angles are right.
The diagonals of a parallelogram bisect each other.
Each diagonal of a parallelogram separates it into two congruent triangles.
Number of sides = 4
Number of vertices = 4
Mutually Parallel sides = 2 (in pair)
Area = Base x Height
Perimeter = 2 (Sum of adjacent sides length)
Type of polygon = Quadrilateral
The opposite sides are parallel and congruent
The opposite angles are congruent
The consecutive angles are supplementary
Each diagonal bisects the parallelogram into two congruent triangles
Sum of square of all the sides of parallelogram is equal to the sum of square of its diagonals. It is also called parallelogram law
Please brianliest! Also, I gave you 2 extra facts :)
Which of the following statements is true for the quadratic equation x2 – 16x + 64 = 0?
Answer:
Please provide the statements.
Step-by-step explanation:
Answer:
the equation has one anser
Step-by-step explanation: