Write an equation to find the total number of hours h the instructor exercises in any number of weeks w
Lillian is going to invest in an account paying an interest rate of 5.7% compounded continuously. How much would Lillian need to invest, to the nearest ten dollars, for the value of the account to reach $7,600 in 7 years?
Answer:
The amount Lilian needs to invest is $5,160
Step-by-step explanation:
The parameters of the amount Lilian is going to invest in an account are;
The interest rate the account pays = 5.7%
The final amount the investment is expected to reach after the given time period = $7,600
The number of years of the investment = 7 years
The formula for compound interest is presented as follows;
[tex]A = P \cdot \left(1 + \dfrac{r}{n} \right)^{n\cdot t}[/tex]
Where;
A = The final amount = $7,600
P = The amount Lilian is to invest
r = The interest rate = 5.7% = 0.057
n = The number of times the interest is applied per time period = 1
t = The number of period that passes = 7 (years)
Therefore, we get;
[tex]7,600 = P \cdot \left(1 + 0.057 \right)^{7}[/tex]
∴ P = 7,600/(1 + 0.057)⁷ = 5,155.7123754
The amount Lilian needs to invest (rounded to the nearest ten dollars) for the value of the account to reach $7,600 in 7 years, P = $5,160
SOMEBODY PLEASE HELP ME THIS IS A TEST QUESTION.The population of bacteria doubles every hour. At 9 AM. The population is 12 bacteria. The function P (t)=12•2^t models the bacteria population tea hours after 9 AM what is the value of P (5) what does it represent in context
Answer:
The population is 384 bacteria at 2pm
Step-by-step explanation:
Because u just need multiplied
After checking that conditions are met, you perform a significance test of 0:=1 versus :≠1 . You obtain a -value of 0.022.
Which of the following must be true?
A 95% confidence interval for will include the value 0.022.
A 99% confidence interval for will include the value 1.
None of these is necessarily true.
A 99% confidence interval for will include the value 0.022.
A 95% confidence interval for will include the value 1.
Answer:
A
Step-by-step explanation:
The true statement is
A 99% confidence interval for will include the value 1.
What is Confidence Interval?The range of values that we observe in our sample and for which we anticipate finding the value that accurately reflects the population is referred to as a confidence interval.
Given:
[tex]H_0: \mu = 1\\H_\alpha : \mu \neq 1[/tex]
P= 0.022
If the P- value is smaller than significance level, then the null hypothesis is rejected.
P< 0.05 - 5% Reject [tex]H_0[/tex]
P> 0.01 = 1% Fail to Reject [tex]H_0[/tex]
A 95% Confidence interval correspond with a significance test at the 5%
significance level.
A 99% Confidence interval correspond with a significance test at the 1%
significance level.
If the Significance test was Significant then the interval does not contain the value mentioned in the Hypothesis.
95% CI does not contains 1.
99% CI contains 1.
Learn more about Confidence Interval here:
https://brainly.com/question/24131141
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Helpppppp Meeee!!!!!!
Answer:
In 11 teaspoons, there are 53.9 milliliters.
Step-by-step explanation:
Since you know that one teaspoon is equal to 4.9 milliliters, to find the answer, you have to multiply 4.9 times the amount of teaspoons, or 11. Hence, the answer is 53.9.
Please like and mark brainliest!
Hope it helps!
The perimeter of a square patio is (8x - 28). What is the length of one side?
Answer:
Length is 7, Permimeter is 28
Step-by-step explanation:
Perimeter=4×side
(8x-28)=4×x [let length be x]
8x-28=4x
8x-4x=28
4x=28
x=28÷4
x=7
Length = x = 7
Perimeter=(8x-28)
=(7×8)-28
=56-28
=28
Use the distributive property to write an expression that is equivalent to 8(a + 4).
?
Find the mean absolute deviation (MAD) of the following data set. Round your answer to two decimal places.
3, 10, 6, 9, 7, 4
Answer:The mean absolute deviation (MAD) of the data set=2.17
Step-by-step explanation:
The mean absolute deviation (MAD) is also called the Mean deviation which tells us the variation and average distance of the mean and each data value in a data set.
Given the data set
3, 10, 6, 9, 7, 4
First find the mean
Mean =Sum of data set / Number of data set
=3+10+ 6 +9 + 7+ 4/ 6 =39/6 = 6.5
Next step is to subtract each data set from the mean and ignoring any negative sign accompanied to find the distance from the mean
Value distance from mean
3, 6.5 -3 3.5
10 6.5 -10 3.5
6, 6.5-6 0.5
9, 6.5 -9 2.5
7, 6.5 -7 0.5
4 6.5 -4 2. 5
Last step is to find the mean of the distances which is
Mean Deviation = (3.5+ 3.5+ 0.5+ 2.5+0.5+ 2.5) / 6
=13/6
=2.166666 rounded up to 2.17
Find the dimensions of the square or circle.
Complete question is;
Find the dimensions or, the square or circle. Area = 64π in²
Answer:
r = 8 inches
Step-by-step explanation:
We know that formula for area of a circle is; A = πr²
Where r is radius.
We are given Area as 64π in²
Thus;
πr² = 64π
π will cancel out to give;
r² = 64
r = √64
r = 8 inches
Triangle ABC is reflected across line m to form triangle PRS.
B
R
A
s
Which statement must be true?
O The length of AB = the length of SR.
O The length of BC = the length of RP.
0 m 4 = m/s
OmZB =mZR
Answer: D
Step-by-step explanation:
Tickets for a carnival for a family of 4 costs $28. The ticket includes 1 food item and 3 games.
Select all true statements below based on this information.
A The cost for 2 tickets is $20. The cost for 2 tickets is $20.
B The cost is $7 per ticketThe cost is $7 per ticket
C For $42 you could get 6 tickets. For $42 you could get 6 tickets.
D 12 tickets would cost you $60
Answer:
B
Step-by-step explanation:
28/4=7 therefore, each ticket is $7.
Answer:
B, C
Step-by-step explanation:
A is wrong due to the fact that if you divide $28 into 4 (family of 4), the cost is $7 per ticket. If you add 2 tickets together, or multiply $7 by 2, you get $14.
B is right due to the fact that each ticket is $7 if you divide $28 by 4.
C is right due to the fact that if you have 6 tickets worth $7 each, it would mean that the total cost of 6 tickets would be $42. (6*7 = 42)
D is wrong due to the fact that if you multiply 7 (the cost of each ticket) by 12, it gets you 84, not 60.
someone please help me I have 10 minutes to submit it!!
Answer:
x = 5 or x = -5
Step-by-step explanation:
| a b |
| c d |
det = ad - bc
| x 4 |
| 3 x |
det = x * x - 4 * 3 = x^2 - 12
x^2 - 12 = 13
x^2 = 25
x^2 - 25 = 0
(x + 5)(x - 5) = 0
x = 5 or x = -5
giving brainliest! (look in attached image)
Answer: 50$
Step-by-step explanation:
15:3=5$
25:5=5$
30:6=5$
60:12=5$
5$ x 10=5=50$
Evaluate each function.
f(t) = t– 5t; Find f(t - 2)
Answer: -4t+8 is your answer.
also can you make me the brainiest please
Thank You
-Parshv
what is the area?
diameter of circle is 7 m
Answer:
the area is 52.49
Step-by-step explanation:
triangle
radius is 3.5
3.5x19=66.5÷2=33.25
hemisphere
π3.5squared=38.48
38.48÷2=19.24
33.25+19.24= 52.49
Find the product of (3x − 4)(2x2 + 2x − 1).
a
6x3 + 2x2 − 5x + 4
b
6x3 + 14x2 − 11x + 4
c
6x3 − 14x2 − 5x + 4
d
6x3 − 2x2 − 11x + 4
Answer:
Answer is D.)
6x3 - 2x2 - 11x + 4
hey besties first to answer gets brainliest bc i forgot how to calculate triangles
4(g - h) + 10 , when g = 12 , h = 7
Answer: 30
Step-by-step explanation:
4 (12 - 7 ) + 10
Do 12 - 7 first. It'll equal 5
4(5)+10
Now multiply 4 and 5.
It'll be 20.
20+10 =30
Answer:
30
Step-by-step explanation:
4(12-7)+10 or: 4(12-7)+10
48-28+10 4(5)+10
20+10 20+10
30 30
you can do it either way hope this helps
Find the volume of the cone. What is the radius? 12 What is the height? 5 Write the volume in terms of pi (1/3 times radius squared times the height only). π km3 Solve for the volume (Multiply by 3.14 this time). km3
Answer:
can you post a pitcure of the question... i cant really understand the words like this.
Step-by-step explanation:
Find the area of the figure.
Answer and Step-by-step explanation:
For this shape, we have to draw a line that goes through the point that is inside of the shape from top to bottom.
This creates a square and two triangles.
The area formula for a triangle is A = [tex]\frac{bh}{2}[/tex]
The area of a square is A = b*b
Half of 3 is 1.5.
Triangles (Area combined):
Since there are two triangles that are the same, we only need to find the area of of 1 triangle, and not divide by 2.
A = 3 × 1.5 = 4.5
Square:
A = 3 × 3 = 9
Now, we add them together to get the total area of the figure.
9 + 4.5 = 13.5
The area of the figure is 13.5 [tex]in^{2}[/tex].
#teamtrees #PAW (Plant And Water)
A person whose eyes are 5 feet above the ground is standing on the runway of an airport 100 feet from the control tower. That person spots one of the air traffic controller at the window of the 132 foot tall tower. What is the angle of elevation to the nearest tenth of a degree?
Answer:
132-5 therefore the height from the eyes to the window is 127
100 feet away from the base of the tower
This forms two legs of a triangle
trying to find the degrees of this triangle.
Since its the two legs, you can use tanx which = to opposite side/adjacent side
Therefore, it is tanx = 127/100
But you are looking for x so arctan(1.27)
Must use calculator to find x.
*WILL GIVE BRAINLIEST*
*Dont mind the "24" I accidently pressed an answer :(*
Find the surface area of the cube.
side length = 2 cm
A: 4 cm2
B: 48 cm2
C: 24 cm2
D: 12 cm2
Please help me I want to finish my math Homework!!
Answer: X<-10/7
Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable
plzzz help with this
Find the area of a parallelogram with these dimensions.
base = 6 meters
height = 2.25 meters
Answer:
13.5
Step-by-step explanation:
math i did it somehow
find the volume of the cylinder please, I'll mark brainliest if you can help!
what is the mixed number: 1 and 3/4 as a percent
Answer:
175%
Step-by-step explanation:
1 would be 100%
3/4 would be 75%
100%+75%=175%
help please i’ll give points !!
Answer: C :)
Step-by-step explanation:
It should be c but i am only in the 7th grade so it might not be right but i am pretty sure it is right.
5 plus square root of 45 divided by 4
5+ sqrt45/4
5+5/4
6.75
The Weston family spends a maximum of
$50.00 per month on entertainment. Write and
graph an inequality to represent this.
Answer:
y < 50x
Step-by-step explanation:
In order to graph this inequality, you first need to identify the important word(s) here to find the inequality sign; in this case, it would be "maximum of $50" a month. Since it's a maximum of $50 a month (or less than $50 a month), you can write it as:
Where m is months and c is total cost, c < 50m
If you need to graph this, you can write it as y < 50x. The cost is y since it's the output, and months is x since that's the input.