Answer:
$11468.52
Step-by-step explanation:
Given data
Principal= $6,082
Rate= 5%
time= 13 years
The expression for compound interest is
A= P(1+r)^t
substitute
A=6082(1+0.05)^13
A=6082(1.05)^13
A=6082*1.885649
A=11468.52
Hence the Amount is $11468.52
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:
She has to invest $5,160 for the value of the account to reach $7,600 in 7 years.
Step-by-step explanation:
Continuous compounding:
The amount of money earned, after t years, in continuous compounding, is given by:
[tex]A(t) = A(0)(1+r)^t[/tex]
In which A(0) is the value of the initial investment and r is the interest rate, as a decimal.
Lillian is going to invest in an account paying an interest rate of 5.7% compounded continuously.
This means that [tex]r = 0.057[/tex]
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?
We have to find A(0) when [tex]A(t) = 7600, t = 7[/tex]
So
[tex]A(t) = A(0)(1+r)^t[/tex]
[tex]7600 = A(0)(1+0.057)^7[/tex]
[tex]A(0) = \frac{7600}{(1.057)^7}[/tex]
[tex]A(0) = 5156[/tex]
To the nearest ten dollars, she has to invest $5,160 for the value of the account to reach $7,600 in 7 years.
What is the value of the 11th term in the sequence -3, -6, -12, -24, ...?
-6,144
-118,098
-3,072
-354,294
Answer:
3072
Step-by-step explanation:
double the number until the 11th time which would be -3072 so C
what is the answer for number 1?
Answer:
28.26
Step-by-step explanation:
A = pie x radius*2
The radius is 3, and pie is 3.14. This means the equation is
A = 3.14 x 3*2
3*2 is just 3 x 3, which is 9.
9 x 3.14 = 28.26
1 litre is equal to how many decalitre
A regular computer screen has a area of A square inches. The width of the computer screen is 7 inches. Which equation represents x,length of the computer screen in inches.
Answer:
7 square inches hope this helps brainlest plzzz
Step-by-step explanation:
Find the lateral area of this cone. Leave your answer in terms of pi.
25 cm
8 cm
Answer:
200
Step-by-step explanation:
pi · radius · height
3.14 · 8 · 25 = 200
Use trigonometry to find the missing side. Round your answer to the nearest tenth (one decimal place)
Given:
A figure of a right triangle.
To find:
The missing side by using the trigonometric ratios.
Solution:
In a right angle triangle,
[tex]\cos \theta=\dfrac{Adjacent}{Hypotenuse}[/tex]
In triangle ABC,
[tex]\cos A=\dfrac{AC}{AB}[/tex]
[tex]\cos (31^\circ)=\dfrac{b}{270}[/tex]
[tex]0.857=\dfrac{b}{270}[/tex]
Multiply both sides by 270.
[tex]0.857\times 270=b[/tex]
[tex]231.39=b[/tex]
[tex]b\approx 231.4[/tex]
Therefore, the missing side length is b=231.4 inches.
h(t)=-16t^2+80t+64 after 40 feet off the ground
Answer:
Part A) The potato hit the ground at t=5.70 seconds (see the explanation)
Part B) The potato is 40 feet off the ground at the time t=5.28 seconds (see the explanation)
Step-by-step explanation:
True or False: This data set represents a function.
{(-5, 8), (-6, 2).(-2,-6), (-1, 8), (4, 6)}
True
False
Matt started his own company where he rents used textbooks to struggling college students at multiple Universities for a low rate. Over the last few years Matt has been able to collect a total of 250 textbooks for his business at Temple University. Unfortunately, students can be irresponsible and lose their textbook rental causing a loss for Matt. Based on past information Matt has collected the data below for Temple University based on losses per semester. #
of losses per semester Probability
0 0.08
5 0.16
10 0.28
15 0.32
20 0.14
25 0.02
a. Calculate the expected frequency of losses per semester. (2 points)
b. Calculated the variance. (2 points)
Now assume that when losses do occur, they are non-random and losses equal $60.
c. Calculate the expected losses per semester? (2 points)
d. Calculate the expected losses for ALL textbooks per semester. (1 point)
e. Calculate the expected losses for ALL textbooks for the next 2 school years (4 semesters). (1 point)
Answer:
a. Expected frequency of losses per semester = 0*0.08 + 5*0.16 + 10*0.28 + 15*0.32 + 20*0.14 + 25*0.02
Expected frequency of losses per semester = 11.7 losses per semester
b. Variance = (0-11.7)²*0.08 + (5-11.7)²*016 + (10-11.7)²*0.28 + (15-11.7)²*0.32 + (20-11.7)²*0.14 + (15-11.7)²*0.02
Variance = 10.9512 + 7.1824 + 0.8092 + 3.7848 + 9.6446 + 3.5378
Variance = 35.61
c. As losses equal $60, expected losses per semester = 11.7*$60 = $702
d. Expected losses of all textbooks per semester = 250*11.7*$60 = $175,500
If the total cost is $30, use your expression to determine the cost per person.
Answer:
Well, how many people are there?
Step-by-step explanation:
We can't solve this without the number of people.
The formula for any geometric sequence is an = a1 · rn - 1, where a n represents the value of the n th term, a1 represents the value of the first term, r represents the common ratio, and n represents the term number. What is the formula for the sequence -3, -6, -12, -24, ...?
an = -2 · (-3) n - 1
an = 2 · (-3) n - 1
an = -3 · 2 n - 1
an = -3 · (-2) n - 1
Answer:
C
Step-by-step explanation:
The formula for any geometric sequence is:
[tex]a_n=a_1\cdot r^{n-1}[/tex]
Where aₙ is the value of the nth term, a₁ is the value of the first term, r represents the common ratio, and n represents the term number.
We want the formula for the geometric sequence:
-3, -6, -12, -24, ...
Note that our first term is -3. Hence, a₁ = -3.
Next, each subsequent term is twice the previous term. Hence, our common ratio r = 2.
Therefore, by substitution, we acquire:
[tex]a_n=-3\cdot (2)^{n-1}[/tex]
Our answer is C.
Laura says her triangle has angle measures of 100', 88°, and 72°.
Answer:
First, realize that angle ABC is the sum of the two other angles. Hence, form an equation in which you subtract the measure of one of the angles from angle ABC to get the measure of the other angle -- the one you are solving for.
Step-by-step explanation:
Mark me brainly please hop this helps.
Explain how to use the Pythagorean Theorem to find the missing length of a right triangle.
Answer:
Step-by-step explanation:
Pythagorean theorem,
Hypotenuse² = base² + altitude²
Substitute the known values and you can find the missing length
Stephen has $157.92 in his savings account. He deposited d more dollars into his account after receiving a gift from his grandmother. Enter an equation that represents the total amount of money, t, Stephen now has in his savings account.
Answer:
157.92 + d =t
Step-by-step explanation:
Solve for [x]. The pair of polygons are similar.
The scale factor from A to B is 1:2
Answer:
13
Step-by-step explanation:
Jim is 5 feet tall. What is his height in inches?
Helppppppp
Answer:
5 feet = 60 inches
Step-by-step explanation:
Every foot is 12 inches, so.. this problem can be turned into simple multiplication..
12 x 5= 60
So, Jim is 60 inches tall.
Hope this helps! :)
Have a nice day!♥
Mark was thinking of a number. Mark subtracts 6.2 from the number and gets an answer of 68. Form an equation with
x
from the information.
Answer:
X= 6.2 + 68 ???
Step-by-step explanation:
I'm not sure that's what I would write in an exam
A parallelogram has an area of 37.72 m² and a height of 4.6 m.
How long is the base of the parallelogram?
Enter your answer as a decimal in the box
Answer:
8.2m
Step-by-step explanation:
Formula : Area = base x height
rearrange : Base = area ÷ height
37.72÷4.6=8.2m
Answer:
8.2
Step-by-step explanation:
I am so smart lol lol lollololololololololollololololololollolololololollololo
Answer:
2. c. 1/2
3. d. 13/16
5. d. 5/12
1. b. simplified
4. b. Nicholas did not divide the numerator and..............
Answer:
i know it’s been months since you posted this question but...
Step-by-step explanation:
2. c) 1/2, 9/18 / 9 = 1/2
3. d) 13/16, 26/32 / 2 = 13/16
5. d) 5/12, 10/24 / 2 = 5/12
1. b) simplified, you can’t simplify 8/9, it’s already smaller.
4. b) Nicholas did not divide the numerator and denominator by the same number, the GCF [greatest common factor]. 4/5 is not equivalent to 20/30. He should have divided by 10. 20/30 = 2/3.
why does that say 20/24 tho?- i think it meant 20/30.
i hope this helped! also, a definition of gcf:
GCF - A set of numbers' greatest common factor (GCF) is the largest factor that all of the numbers share. Twelve, twenty, and twenty-four, for example, all have two common factors: two and four. The GCF of 12, 20, and 24 is 4 since the highest is 4. The GCF method is often used to identify common denominators.
Music streaming services are the most popular way to listen to music. Data gathered over the last 12 months show Apple Music was used by an average of 1.73 million households with a sample standard deviation of 0.46 million family units. Over the same 12 months Spotify was used by an average of 2.17 million families with a sample standard deviation of 0.33 million. Assume the population standard deviations are not the same. Using a significance level of 0.01, test the hypothesis of no difference in the mean number of households picking either service.
Answer:
There is enough statistical evidence to suggest that there is no difference between the mean number of households picking either service
Step-by-step explanation:
The parameters of the music streaming service are;
The average number of households using Apple Music, [tex]\overline {X}_1[/tex] = 1.73 million
The standard deviation, σ₁² = 0.46 million
The average number of households using Spotify, [tex]\overline {X}_2[/tex] = 2.17 million
The standard deviation, σ₂² = 0.33 million
The significance level = 0.01
Hypothesis testing with different population standard deviation
[tex]Z = \dfrac{\overline {X}_1 - \overline {X}_2}{\sqrt{\dfrac{\sigma_1^2}{n_1} +\dfrac{\sigma_2^2}{n_2}} }[/tex]
H₀: [tex]\overline {X}_1[/tex] ≠ [tex]\overline {X}_2[/tex]
H₁: [tex]\overline {X}_1[/tex] = [tex]\overline {X}_2[/tex]
[tex]Z = \dfrac{1.73- 2.17}{\sqrt{\dfrac{0.46^2}{12} +\dfrac{0.33^2}{12}} } = -2.6923[/tex]
p-value for the test statistic = 2 × P(Z <-2.6923) = 2 × 0.00357 = 0.00714
Therefore, the p-value is less than the significance level, and it is therefore unlikely that the result will be observed under the null hypothesis
We therefore reject the null hypothesis and there is enough statistical evidence to suggest that there is no difference between the mean number of households picking either service
PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA 40 POINTS** !! DONT SKIP :((
What is the percent of increase from 54 to 81?
Answer:
50• A change from 54 to 81 represents a positive change (increase) of 50%
Mr.Falcons pizza shop offers two sizes of pizza. The XL large and XXL pizza with diameters of 20 inches and 22 inches. What is the difference between the two pizza?
Answer:
one is 2 inches bigger that the other.
Step-by-step explanation:
becuase if one of the pizza is 20in ans the other is 22 the 20 on is only 2in away frof the XXL pizza .
Help me please & Thx
Not really understanding
If you help me i can help you :>
THANKS <3
*BTW this is pre-algebra*
Answer: 16 times 20 is 320
Step-by-step explanation: 1 floor is 16 feet. Because of 32/2 to find the rate
The prism shown has a volume of 35 cm^3
Work out h, the height of the triangular cross section.
Length =7 cm
Base=4 cm
Answer:
[tex]Height = 2.5[/tex]
Step-by-step explanation:
Given
[tex]Volume = 35[/tex]
[tex]Length =7[/tex]
[tex]Base=4 cm[/tex]
Required
Determine the height
The volume is calculated as:
[tex]Volume = Height * Base\ Area[/tex]
Since, it has a triangular cross-section, the expression becomes:
[tex]Volume = Height * \frac{1}{2} * Base * Length[/tex]
So, we have:
[tex]35 = Height * \frac{1}{2} * 4 * 7[/tex]
[tex]35 = Height * 14[/tex]
[tex]Height = 35/14[/tex]
[tex]Height = 2.5[/tex]
Plz help this is 400 points. Nancy bought a Reuben sandwich and received her change in several coins. The cashier handed Nancy 2 half dollars, 3 quarters, 4 dimes, 4 nickels, and 1 penny. How much money did Nancy get in change? explain in two sentence
Answer: After Nancy bought the sandwich, the cashier handed back $2.36
Step-by-step explanation:
The sum of half of a number and 49 is 2 1/4 of the number. Find the number
Answer:
x = 28
Step-by-step explanation:
given, x/2 + 49 = 21/4
x/2 + 49 = 9x/4
2x +196 = 9x
7x = 196
x = 28
I hope this helps a little bit.
Combine Like Terms 4a + 7a
Answer:
[tex]11a[/tex]
Step-by-step explanation:
[tex]4a + 7a = 11a[/tex]
Hope this helps you
Can I have the brainliest please?
can someone help me please
Answer:
A' = (1, 2)
B' = (2, 3)
C' = (2, 4)
Step-by-step explanation:
Ok so you are given the scale factor of 1/3. You will basically multiply 1/3 to all of the values of point A, B, and C in order to find the values of point A', B', and C'.
A = (3, 6) ---> 3 × 1/3 = 1 and 6 × 1/3 = 2
A' = (1, 2)
B = (6, 9) ---> 6 × 1/3 = 2 and 9 × 1/3 = 3
B' = (2, 3)
C = (6, 12) ---> 6 × 1/3 = 2 and 12 × 1/3 = 4
C' = (2, 4)
Hope this helps and stay safe, happy, and healthy, thank you :) !!