Karen invested $2,000 in a special savings account.
The balance of this special savings account will double
every 5 years. Assuming that Karen makes no other
deposits and no withdrawals, what will be the balance
of Karen's investment at the end of 40 years?
A. $ 80,000
B. $ 256,000
C. $ 400,000
D. $ 512,000
E. $1,024,000
Answer:
D. $512,000
Step-by-step explanation:
Well if the balance doubles every 5 years, then dividing 40 by 5 gives us the number of times the money will double, which is 8. We can then turn this into the equation [tex]2000(2^{8})[/tex]. [tex]2^8[/tex] can be simplified to 256. Multiply that by 2000 and we get our answer, 512000. Hope this helps!
Pls mark brainliest!I solved this quadratic using the square root property. I did it 2 ways but I am not sure which one is correct.
Answer:
it's your second answer: )
Answer:
the one on the right
Step-by-step explanation:
:) s s
Select the function that is nonlinear.
a
y = 3x - 4
b
y = 2x3 - 10
c
y = 4x -12
d
y = x + 101
Answer:
B
Step-by-step explanation:
A C and D are all linear. The powers on x in all three questions is 1. For example the first answer could be written as y = 3x^1 - 4. C and D are much the same.
So if you are thinking that B must be the answer, you would be right. x is raised to the third power -- or I think that is what is intended. y = x^3 - 10
Which is equivalent to the series shown?
12
Which expansion is equivalent to the summation
shown?
12
12
20 Σ
1
n=9 n=9
n +
n=9
X
1 1 1 1
20+9+10+11+12+
9 10 11 12
-
Σ (20n +
+
Ź 201n+ )
20
n
n-9
x
1
1
-
1
11
1
12
20(9 + 10 +11+12) +.
9 10
2019 +10 +1
X
1 1 1
20 9+10 +11+12+
9 10 11 12
n +
n-9
12 12
1
12 + 20
n
n=9 n-9
12 12
1
n+
n-9 n=9n
1 1 1
9+10+11+12+ 20
9 10 11 12
20Σ
COMPLETE
Na
Intro
Final
Answer:
first one is (d) second one is (b)
Step-by-step explanation:
1
6
Drew uses container of
carpet freshener to
vacuum of his house.
If his entire house is
carpeted, at this rate,
what fraction of the
container of carpet
freshener will Drew use
to vacuum his entire
house?
Please hurry and solve for 40 points
Answer:
x=3 y=-2
Step-by-step explanation:
Elimination would bring the equation to
3x=18
18/6 is 3
6-3y=12
-3y=6
y=-2
How many almonds in the cup? (1/4 cup) Help me
Answer:
The amount of almonds in the fourth cup are 40
The U.S. and many other countries have recently tightened airport security. A sociologist is interested in estimating the proportion of the travelers who feel that airports are safe. The sociologist found that 375 of the 500 travelers randomly selected and interviewed indicated that the airports were safe. With an alpha level of 0.05, conduct a test to determine whether the true proportion of interest is higher than 0.7.
Answer:
0.0073 < 0.05, which means that we reject the null hypothesis and conclude that the true proportion of interest is higher than 0.7.
Step-by-step explanation:
Conduct a test to determine whether the true proportion of interest is higher than 0.7.
This means that the null hypothesis is: [tex]H_{0}: p = 0.7[/tex]
And the alternate hypothesis is: [tex]H_{a}: p > 0.7[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.7 is tested at the null hypothesis:
This means that [tex]\mu = 0.7, \sigma = \sqrt{0.7*0.3}[/tex]
The sociologist found that 375 of the 500 travelers randomly selected and interviewed indicated that the airports were safe.
This means that [tex]n = 500, X = \frac{375}{500} = 0.75[/tex]
Value of the z-statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.75 - 0.7}{\frac{\sqrt{0.7*0.3}}{\sqrt{350}}}[/tex]
[tex]z = 2.44[/tex]
P-value of the test:
Probability of z being larger than 2.44, that is, a proportion larger than 0.75.
This is, looking at the z-table, 1 subtracted by the pvalue of Z = 2.44. S
Z = 2.44 has a pvalue of 0.9927
1 - 0.9927 = 0.0073
0.0073 < 0.05, which means that we reject the null hypothesis and conclude that the true proportion of interest is higher than 0.7.
10) Triangle GHK has an area of 273cm². Write and solve an equation to find the height, h, of triangle GHK
base is 26 cm
Answer:
21cm
Step-by-step explanation:
A=(b*h) /2-->h=(2*A)/b-->
h=(2*273)/26-->
h=21 cm
The sum of all digits of some number is 210. The number is always divisible by:
A. 3
B. 2
C. 5
D. 9
E. 10
Please show work and I will mark brainlist.
Answer:
2
Step-by-step explanation:
so so that you could get both halves, we had to divide by two then I got 105 +105 meaning 210 could be divided by 2
If v = -5, what does 4v - 3 equal? (Explain aswell)
Answer: Answer= -23
Step-by-step explanation: plug in -5 for v. THen multiply 4 and -5 which should give you -20. then subtract -3 from -20 which will give you -23. :)
Pls answer I got 15 points and omg pls be correct
Answer:
$119.79
Step-by-step explanation:
Formula:
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
Given:
P = 90
r = 0.1
t = 3
n = 1
Work:
[tex]A=P(1+\frac{r}{n} )^{nt}\\\\A=90(1+\frac{0.1}{1} })^{3*1}\\\\A=90(1.1)^3\\A=90(1.331)\\A=119.79[/tex]
Rewrite 2/5 and 4/11 so that they have a common denominator
Answer:
22/55 and 20/55
Step-by-step explanation:
multiply 2 and 5 by 11 to get 22/55, and multiply 4 and 11 by 5 to get 20/55
Jada is standing 10 feet from the base of a tree and spot a nest sitting on a branch.the angle of elevation from the ground where she standing to the nest 55.find the height of the nest
Answer:
Hence, the height of the tree is 14.3 feet.
A quart and a liter of the same kind of drink are on a shelf and are the same price. Which one should you pick if you are really thirsty?
quart
doesn't matter - they are the same amount
liter
I need help if you get right I will mark you
Answer:
20% of his budget
Step-by-step explanation:
1500 - 100% /10
150 - 10 % ×2
300 - 20%
Answer:
20%
Step-by-step explanation:
The % is 300 / 1500 * 100% = 0.2 * 100% = 20%
i don’t need to show work but it would help :)
Answer:
d. (73.9 in^2)
Step-by-step explanation:
I suppose that 9.7 in is the diameter.
R=D/2=9.7/2=4.8in
A=π*(R^2)=3.14*(4.8)^2=73.9 in^2
Please explain how you got the answer!
Answer:
16
Step-by-step explanation:
1250/ 80 = 125/8 ≈ 15.6 rounds up to 16
please help me with this asap
Answer:
76
Step-by-step explanation:
I rewrote the question so I wouldn't have to keep going back to the picture.
A poll asked 1000 adults who own smartphones where they put their smartphone while sleeping. The following two-way table of relative frequencies shows the data collected on age and smartphone habits. Of the adults polled, 200 were 65 or older.
How many of the adults polled that were 65 or older sleep with their smartphone within reach?
---------------------------------------------------------------------------------
I bet if I called this a two- way table of "percentages, written as decimals", it would make more sense.
Total number of adults 65 and older = 200. The 0.38 of them that sleep with their phone in reach = 38% of them. Multiply 200 x 0.38 = 76
To check the math, 200 x 0.62 = 124, and 124 + 76 = 200.
As always, please let me know if you have questions. I've answered each of your open questions as of now (11am CDT, USA)
What is 7/10 × 2 5/6
Answer:
1.983 or about 1 1/6
hope this helped!
Select the value of x that makes the equation “16 = -4(x - 1) + 4” true?
• -2
• 2
• -4
• 4
Answer:
[tex] - 4(x - 1) = 16 \\ = > - 4x + 4 - 16 = 0 \\ = > - 4x - 12 = 0 \\ = > - 4x = 12 \\ = > x = - 3[/tex]
What is Theoretical Probability in your own words ?
Answer:
Theoretical probability is a method to express the likelihood that something will occur. It is calculated by dividing the number of favorable outcomes by the total possible outcomes. The result is a ratio that can be expressed as a fraction (like 2/5), or a decimal.
Step-by-step explanation:
A certain test preparation course is designed to help students improve their scores on the USMLE exam. A mock exam is given at the beginning and end of the course to determine the effectiveness of the course. The following measurements are the net change in 3 students' scores on the exam after completing the course:
15,20,18
Using these data, construct a 90% confidence interval for the average net change in a student's score after completing the course. Assume the population is approximately normal.
Answer:
The 90% confidence interval for the average net change in a student's score after completing the course is (13.42, 21.92).
Step-by-step explanation:
Average change in the sample:
[tex]M_{s} = \frac{15+20+18}{3} = 17.67[/tex]
Standard deviation of the sample:
[tex]s = \sqrt{\frac{(15-17.67)^2+(20-17.67)^2+(18-17.67)^2}{2}} = 2.52[/tex]
We have the standard deviation for the sample, so the t distribution is used.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 3 - 1 = 2
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 2 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 2.92
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.92\frac{2.52}{\sqrt{3}} = 4.25[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 17.67 - 4.25 = 13.42
The upper end of the interval is the sample mean added to M. So it is 17.67 + 4.25 = 21.92
The 90% confidence interval for the average net change in a student's score after completing the course is (13.42, 21.92).
Pls help I’ll mark brainliest
Answer:
Answer:
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Answer:
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Step-by-step explanation:
Steve sold 36fruit baskets for a school fundraiser. Edie sold 25% of the number of baskets that Steve sold
Answer:
Edie sold 9 fruit baskets
Step-by-step explanation:
How do you do the half and sum of the equation?
Answer:
13x - 4
Step-by-step explanation:
Hi,
5(3x -1)
-1/2(4x - 2)
To add...
5(3x - 1) + -1/2(4x - 2)
15x - 5 - 2x + 1
13x - 4
That's your answer :)
I hope this helps!
Please help me with this!
Answer:
Step-by-step explanation:
Its going to be a negative
negative, if wrong so sorry
The distance that an object falls when it is dropped is directly proportional to the
square of the amount of time since it was dropped. An object falls 288 feet in 3
seconds. Find the distance the object falls in 4 seconds,
Answer:
The object falls 384 feet in 4 seconds.
Step-by-step explanation:
This question can be solved by proportions, as the measures are directly proportional, using a rule of three.
An object falls 288 feet in 3 seconds. Find the distance the object falls in 4 seconds.
288 feet - 3 seconds
x feet - 4 seconds
Applying cross multiplication
[tex]3x = 288*4[/tex]
[tex]x = \frac{288*4}{3}[/tex]
[tex]x = 384[/tex]
The object falls 384 feet in 4 seconds.
an artist is painting a mural on a wall to make sure that the picture is painted accurately to her vision she creates a grid for the wall with each unit measuring a meter in the mural at the second event at 2 to and the event at -2 for the artist plans to fail in the Triangular space between the three events with colored pattern what is the area of the space?
m(x) = -3x + -2
Find m(-4)
Answer:
3x +2 =5
and m(x) was x=5 ,= m= -4