Answer:
12,800 Dollars USD
Step-by-step explanation:
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Please SHOW your work
The formula for the question below is A=Pe^rt
=======================================================
Work Shown:
P = 1000 is the amount deposited
We want this value to double to A = 2000 which is the amount in the account at time t (in years).
r = 0.03 represents the interest rate in decimal form.
The value of t is unknown but we can solve for it like so
[tex]A = Pe^{rt}\\\\2000 = 1000e^{0.03t}\\\\2 = e^{0.03t}\\\\\ln(2) = \ln\left(e^{0.03t}\right)\\\\\ln(2) = 0.03t\ln\left(e\right)\\\\\ln(2) = 0.03t*1\\\\\ln(2) = 0.03t\\\\[/tex]
[tex]0.03t = \ln(2)\\\\t = \frac{\ln(2)}{0.03}\\\\t \approx 23.1049060186649\\\\t \approx 23\\\\[/tex]
It will take about 23 years for the amount to double.
As a check,
[tex]A = 1000e^{0.03t}\\\\A \approx 1000e^{0.03*23.104906}\\\\A \approx 1,999.9999988806\\\\A \approx 2000\\\\[/tex]
which helps show that after roughly 23 years, we'll have about 2000 dollars in the account.
------------
Side note: Use of the rule of 72 leads to 72/3 = 24. The '3' is from the 3% interest rate. So the rule of 72 says it will take about 24 years for the amount to double. This isn't too far off from the 23 answer we got.
A local grocery store decides to offer a free piece of fresh fruit (banana or apple) to all shoppers in the produce department. The store is conducting an observational study to determine which type of fruit is selected more often. At the end of the first day, the store found that twice as many shoppers select an apple.
The grocery store then repeats the observational study for 14 days. All studies yield similar results. What generalization can be made from the results of this study?
A.
Given the choice of a banana or an apple, twice as many shoppers will select an apple.
B.
The results are inconclusive; therefore, a generalization cannot be made regarding which type of fruit is preferred by most shoppers.
C.
There is not enough information to generalize the study’s results.
D.
Given the choice of any type of fruit, twice as many shoppers will select an apple.
Answer:
A.
Step-by-step explanation:
If the results are similar (A) should be your answer!
Option A is correct.
What is generalization?Generalization is a process which leads to something more general and whose product consequently refers refers to an actual or potential manifold in a certain way.
According to the given question
"At the end of the first day, the store found that twice as many shoppers select an apple"
So, the generalization can be made from the above result is " from the given choice of a banana or an apple, twice as many shoppers will select an apple".
Hence, option A is correct.
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The question is below
9514 1404 393
Answer:
162°
Step-by-step explanation:
The measure of inscribed angle ADC is half the measure of the intercepted arc AC. That arc has a measure that is the same as the central angle it subtends, angle ABC.
So, central angle ABC is twice the measure of inscribed angle ADC:
m∠ABC = 2·81° = 162°
If a number is doubled the result is sixty
Answer:
30
Step-by-step explanation:
30x2=60
f(x + 1) = 2x + 1
g(x + 1) = x-5
> (fog)(2) = ?
Which statements describe the key features of the graph of ? Check all that apply.
The graph has a y-intercept at –2.
The graph has an x-intercept at –6.
The graph has a vertical asymptote at x = 3.
The graph has a vertical asymptote at x = –3.
The graph has a horizontal asymptote at y = 1.
Answer:
The answer is A,B,D
Step-by-step explanation:
I got it right on EDGE
The required key features of the given [tex]y\ =\ \frac{\left[18-3x-x^{2}\right]}{x^{2}-9}[/tex] area as follows,
(A) The graph has a y-intercept at –2.
(B) The graph has an x-intercept at –6.
(D) The graph has a vertical asymptote at x = –3.
Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
Given function
[tex]y\ =\ \frac{\left[18-3x-x^{2}\right]}{x^{2}-9}[/tex]
Draw the graph of the above function,
From the graph, we can conclude the points that,
The Y-intercept of the function is y = -2, the X=intercept of the function is x = -6, and the vertical asymptote at x = –3.
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Please help me soon
can u pls help me with this question
An oxygen mask is placed on a patient. Oxygen is administered to the patient for 5 minutes. Then the oxygen
mask is removed and the amount of oxgyen in the body decreases exponentially. Which graph best describes the
amount of oxygen in the patient's bloodstream beginning with the moment when oxygen is first administered?
Find the probability pulling a Cub suited card from a deck of playing cards.
Certain mineral elements required by plants are classed as macronutrients. Macronutrients are measured in terms of their percentage of the dry weight of the plant. Proportions of each element vary in different species and in the same species grown under different conditions. One macronutrient is sulfur. In a study of winter cress, a member of the mustard family, these data, based on three independent random samples, are obtained:
Answer:
The value of μ will be "0.82".
Step-by-step explanation:
The given question is incomplete. Please find attachment of the complete question below.
The given three random samples are 0.8, 0.95 and 0.7.
Now,
⇒ [tex]\mu=\frac{\bar{x_1}+\bar{x_2}+\bar{x_3}}{3}[/tex]
On substituting the estimated values, we get
⇒ [tex]=\frac{0.8+0.95+0.7}{3}[/tex]
⇒ [tex]=\frac{2.45}{3}[/tex]
⇒ [tex]=0.82[/tex]
It will not rational here, considering the equivalent significance, since the sampling amount for sample 3 becomes somewhat big 200.
what are the first 3 composite numbers that are multiples of 4 and greater than 10.¯\_(•_•)_/¯
Answer:
12,16,20
Step-by-step explanation:
First list the multiples of 4
4,8,12,16,20,24,28
We want the ones that are greater than 10
12,16,20
30 students in a class took an algebra test.
If 21 students passed the test, what percent passed?
Answer:
70%
Step-by-step explanation:
21/30 p/100
30/30=2,100/30=70
Please help fast, thanks.
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Directions; Write a system of equations for each of the descriptions below, and then solve the systems. Hint: you can graph the equations to find the solutions.
A golfer completed 18 holes with a total of 79 strokes. On each hole, he met par, which was either four or five each time. How many holes were played in four-strokes?
Answer:
11
Step-by-step explanation:
Let a= times he hit 4 par
Let b = times he hit 5 par
a+b=18 => 4a+4b = 72
4a+5b=79
b=79-72=7
So a = 11
answer:
18 = 4a + 5b = 79, b = 79 - 72 = 7 → 11 holes
i hope this helps ♡♡♡
Write an equivalent expression. 2 + 4(c + 7)
A) 4c + 9
B) 30 + 4c
C) 6c + 9
D) 15 + 4c
If sinA 3/5 and cos B 5/13 , then find the value of sin (A+B)
Answer:
[tex] \frac{63}{65} [/tex]
Step-by-step explanation:
We have to find the value of sinB & cosA . So to find the value of sinB , let's use the identity
[tex] { \sin }^{2} b + { \cos }^{2} b = 1[/tex]
By using the identity above gives
[tex] { \sin}^{2} b + ( { \frac{5 }{13} })^{2} = 1[/tex]
[tex] = > { \sin}^{2} b = 1 - \frac{25}{169} = \frac{144}{169} [/tex]
[tex] = > \sin(b) = \sqrt{ \frac{144}{169} } = \frac{12}{13} [/tex]
Now to find the value of cosA , we'll use the same identity.
[tex] {( \frac{3}{5} })^{2} + { \cos}^{2} a = 1[/tex]
[tex] = > { \cos }^{2} a = 1 - \frac{9}{25} = \frac{16}{25} [/tex]
[tex] = > \cos(a) = \sqrt{ \frac{16}{25} } = \frac{4}{5} [/tex]
Now we know that
[tex] \sin(a + b)=\sin(a)\cos(b)+\sin(b) \cos(a) [/tex]
So value of sin(a+b) =
[tex] \frac{3}{5} \times \frac{5}{13} + \frac{12}{13} \times \frac{4}{5} [/tex]
[tex] = \frac{3}{13} + \frac{48}{65} [/tex]
[tex] = \frac{63}{65} [/tex]
21. Which property is used to simplify the expression 5(3x + 18) to 152 + 90?
Can you answer this?
$16 for 4 books. How much would 12 books cost?
Answer:
$48
Step-by-step explanation:
you would first need to find what the cost of 1 book is so
16 divided by 4 is 4
so 1 book is $4
then you would need multiply the cost of one book by 12
so 4 times 12 is 48
so the cost would be $48
Answer:
192
Step-by-step explanation:
times
Solve:
-3(1 + 4x) = 33
x =
Solve:
-4(-6y – 3) = 12
y =
Solve:
-(x – 8) = -2
x =
Solve:
−3(4r − 8) = −36
r =
Solve:
6(−x − 3) = 24
x =
Solve:
3(x − 2) = 18
x =
Solve:
2(4x + 4) = 24
x =
Please help
Answer:
−
3
(
1
+
4
)
=
3
3
Step-by-step explanation:
Answer:
1: -3
2: 24
3: 10
4: 5
5: -7
6: 8
7: 2
Step-by-step explanation:
hope this helps:)
Which graph represents the function f(x)=2.4?
Answer:
show the graph then we can fingerite out
Step-by-step explanation:
we will have to see the graph then we can see what we are working with
Which of the following lists is in the correct order from smallest to largest?
-19, -14, 5, 11
-7,-3, 6, 2.
11, -12, 15, -19
-13, -19, -21, -24
Answer:
D the 4th one that starts with-13.
Slope for (2,1) (-2,3)
Answer:
the slope is 1/2 :)
Step-by-step explanation:
Answer:
1/3 or 1/-2
Step-by-step explanation:
A student club has 20 members how many ways are there for the club to choose a president and a Vice President
Answer:
Everyone should get president every month simple
Need help pronto! Will give brainliest!
Solve the system of equations below by graphing both equations with a pencil
and paper. What is the solution?
y=-2x + 4
y = x-2
A. (-2,-4)
B. (2,0)
C. (-1,-3)
D. (1,-1)
Answer:
B (2,0)
Step-by-step explanation:
The solution of the system is (2, 0).
What is the system of equations?Simultaneous equations are any one or more equations that can have the same number of unknowns and be solved concurrently. The system of equations is the simultaneous equation.
Given information:
The system of equations,
y = -2x + 4
y = x- 2.
To find the solution to the system of equations, find the intersection points of the equations.
As per the graph given in the attachment below.
So, the intersection point is (2, 0).
Therefore, the point is (2, 0).
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12. Isabel created a scale model of her dad's truck. On the scale model, the length of
the truck is 51 inches. The length of the actual truck is 17 feet long.
Which scale did Isabel use to create the scale model of her dad's truck?
Answer:
11
Step-by-step explanation:
32.50-7.50=25
225/25=11
On Monday, Byron spent $8.00 on lunch to purchase two tacos and one burrito. On Wednesday, he purchased one enchilada, one taco, and one burrito and spent $8.50. On Friday, it cost Byron $10.00 for two enchiladas and two tacos. If t represents the cost of a taco, b represents the cost of a burrito, and e represents the cost of an enchilada, which system of equations can be used to find the cost of each?
Answer:
2t+b=8.00
e+t+b=8.50
2e+2t=10.00
Step-by-step explanation:
I NEED AN ANSWER QUICK! What is the surface area of the right trapezoidal prism? To receive credit, you must show the work used to arrive at a final answer. (And PLEASE show work)
Answer:
210 cm²
Step-by-step explanation:
Area of the surface having dimensions 6 cm × 11 cm
[tex]A_1[/tex] = 11 × 6 = 66 cm²
Area of the surface having dimensions 3 cm × 6 cm
[tex]A_2[/tex] = 3 × 6 = 18 cm²
Area of the surface having dimensions 7 cm × 6 cm
[tex]A_3[/tex] = 7 × 6 = 42 cm²
Area of the surface having dimensions 5 cm × 6 cm
[tex]A_4[/tex] = 5 × 6 = 30 cm²
Area of the trapezoidal surface on the top = [tex]\frac{1}{2}(b_1+b_2)h[/tex]
[tex]A_5[/tex] = [tex]\frac{1}{2}(11+7)3[/tex]
= 27 cm²
Area of the trapezoidal base [tex]A_6[/tex] = Area of the surface on the top = 27 cm²
Total surface area = [tex]A_1+A_2+A_3+A_4+A_5+A_6=66+18+42+30+27 + 27[/tex]
= 210 cm²
Therefore, total surface area of the trapezoidal prism = 210 cm²
How many adults visited the museum in February
Answer:
83 adults visited the museum on february...
Step-by-step explanation:
hope this helps