Answers
Answer:
6.3 years
Step-by-step explanation:
Given
[tex]P = 22400[/tex] --- initial value
[tex]r = 12\%[/tex] -- rate
[tex]A = P(0.88)^t[/tex] --- function
Required
Find t when [tex]A = 10000[/tex]
We have: [tex]A = P(0.88)^t[/tex]
Substitute: [tex]A = 10000[/tex] and [tex]P = 22400[/tex]
[tex]10000 = 22400 * 0.88^t[/tex]
Divide both sides by 22400
[tex]0.4464 = 0.88^t[/tex]
Take log of both sides
[tex]\log(0.4464) = \log(0.88^t)[/tex]
Apply law of logarithm
[tex]\log(0.4464) = t\log(0.88)[/tex]
Solve for t
[tex]t = \frac{\log(0.4464)}{\log(0.88)}[/tex]
[tex]t = \frac{-0.3503}{-0.0555}[/tex]
[tex]t = 6.31[/tex]
[tex]t \approx 6.3[/tex]
Related Questions
A cube shaped box with 9 centimeter edges is used
for shipping glass figurines. What is the surface
area of the box?
A. 54 in2
B. 108 in2
C. 324 in2
D. 486 in
Answers
david invest $10,000 in a CD that pays 8% compounded quarterly. how long will it take his investment to double
Answers
Answer:
Step-by-step explanation:
1. Write a equation
[tex]10,000(1+\frac{0.08}{4})^4^x[/tex]
2. plug in 20,000 to y
[tex]20,000=10,000(1+\frac{0.08}{4})^4^x[/tex]
3. Solve
NO LINKS-DOCS ETC
PLZ SOLVE ASAP
LOTS OF POINTS
WILL MARK BRAINLYEST
Answers
Answer: Betsy is incorrect.
Step-by-step explanation:
The area of a trapezoid is a+b/2 multiplied by h.
First, we should do 5+8/2= 6.5
Next, we multiply 6.5 with 4 because 4 is the height of the trapezoid.
6.5 times 4= 26
Betsy thought the answer was 52, but it is 26 so she is incorrect.\
I hope this helps, may god bless you! :)
What are the missing numbers in the data set? Assume the numbers are in order.
24, 28, 32, 39, ___ Range = 18
Group of answer choices
41
42
43
44
Answers
Answer:
42
Step-by-step explanation:
To find the range, first put all the numbers in order. Then subtract the lowest number from the highest.
Hope this helps!If you have any questions revolving around this topic,feel free to ask me and I will be happy to help,Good luck!
Select all the expressions that are equivalent to –25(15 – 20d + 5c)
Answers
Answer:
-375+500d-125c
-125c+500d-375
In the diagram below of triangle HJKHJK, LL is a midpoint of \overline{HJ}HJ and MM is a midpoint of \overline{JK}JK. If LM=71-9xLM=71−9x, and HK=23-xHK=23−x, what is the measure of LMLM?
Answers
Answer:
Step-by-step explanation:
Since J is the midpoint of HK, then HJ=JK and 3x+5=9x-3 solve for x
6x=8 x=8/6=4/3 so HJ=3x+5=3(4/3)+5=9 = JK HK=2(9)=18
the full segment HK is 18, each half of it is 9 =HJ=JK
(b) Rewrite the percentage in the sentence below as a decimal.
The photographer filled 40% of her memory card with animal pictures.
Answers
Explication:
40 / 100 = 0.4
Of 300 students in the cafeteria, 180 had lunch. Write the simplified ratio of the students in the cafeteria to the students that had lunch.
Answers
Answer:
300 : 180 = 5 : 3
300 : 180 = 5 : 3
342 employees prefer a bonus over extra vacation days from a survey of 450 employees what is the population proportion
Answers
Answer:
76
Step-by-step explanation:
450/100 = 4.5
342/4.5 = 76
Х
Compare fractions an
Compare the numbers using a >, <, or = symbol.
2 1/2 28/10
Answers
Answer:
2 1/2 < 28/10
Step-by-step explanation:
28/10 simplifies to 2 8/10 which simplifies to 2 4/5
I don’t know what 2⁄3 × 1⁄8 × 5⁄9 =
Answers
Answer:
5/108
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
5/108
Step-by-step explanation:
2/3 * 1/8 is 2/24
^2/24 can be simplified to 1/12
^ 5/9 * 1/12 is 5/108.
Therefore,
Your answer is 5/108 , if I understood the question correctly.
Use the drawing tools to form the correct answers on the graph.
Consider this linear function:
y = -23 – 5.
Plot all of the ordered pairs for the values in the domain.
D: {-6, -5, -2,0, 1}
Answers
Answer:
Step-by-step explanation:
Domain of a function defines the input values (x-values) of the function.
Given linear function is,
y = -2x - 5
Domain of the function is,
{-6, -5, -2, 0, 1}
By substituting the values of x in the equation we can get y-values (output values).
Input-output table for the function,
x -6 -5 -2 0 1
y 7 5 -1 -5 -7
Now we can plot these points of the graph.
NO LINKS
what is the answer??
Answers
Answer:
5625 bald eagles
Step-by-step explanation:
Given
[tex]y = 312.5x + 1562.5[/tex]
Required
Predict the numbers in 1998
First, we calculate the value of x
[tex]x = 1998 - 1985[/tex] ---- years since 1985
[tex]x = 13[/tex]
So, we have:
[tex]y = 312.5x + 1562.5[/tex]
[tex]y = 312.5*13 + 1562.5[/tex]
[tex]y = 4062.5 + 1562.5[/tex]
[tex]y = 5625[/tex]
What value of x and y will make the polygon below a parallelogram?
Answers
Answer:
[tex]x = 4[/tex]
[tex]y =1[/tex]
Step-by-step explanation:
Given
The attached figure
Required
x and y
If the attached is a parallelogram, then:
Either segment of a diagonal are equal; So, we have:
[tex]3x = 12[/tex]
[tex]x + y = 5y[/tex]
In [tex]3x = 12[/tex]
Divide both sides by 3
[tex]x = \frac{12}{3}[/tex]
[tex]x = 4[/tex]
Substitute [tex]x = 4[/tex] in [tex]x + y = 5y[/tex]
[tex]4 + y = 5y[/tex]
Collect like terms
[tex]5y - y =4[/tex]
[tex]4y = 4[/tex]
Divide both sides by 4
[tex]y = \frac{4}{4}[/tex]
[tex]y =1[/tex]
Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Make sure to simplify radicals. Leave your answers as radicals in simplest form.
Answers
m = 5√2
just use trigonometry
The table shows the height of a softball that Hallie threw in the air. Is the relationship shown linear? Why or why not?
••no links just answers••
I know it's not linear but I dont know why.
Answers
Answer:
Not a linear relationship
Step-by-step explanation:
Given
The attached table
Required
Linear or not
To do this, we simply calculate the slope of the table at different intervals.
Slope (m) is calculated as:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Let:
[tex](x_1,y_1) = (0,0)[/tex]
[tex](x_2,y_2) = (0.5,7.2)[/tex]
So, the slope is:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{7.2 - 0}{0.5-0}[/tex]
[tex]m = \frac{7.2}{0.5}[/tex]
[tex]m = 14.4[/tex]
Let:
Let:
[tex](x_1,y_1) = (1,10.7)[/tex]
[tex](x_2,y_2) = (2,12.2)[/tex]
So, the slope is:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{12.2 - 10.7}{2 - 1}[/tex]
[tex]m = \frac{1.5}{1}[/tex]
[tex]m = 1.5\\[/tex]
See that the calculated slopes are not equal.
Hence, it is not linear
At a book store, 5 fiction books are sold for every 7 nonfiction books sold. How many total books were sold if 35 nonfiction books were sold?
Answers
Answer:
25 Fiction books were sold.
Step-by-step explanation:
The total number of books is 60 books in all.
Answer:
Step-by-step explanation:Total number of books sold altogether in the end is 3040.Step-by-step explanation:A book shop sold fiction books and cartoon books at a ratio of 3:5. ... Then, it sold four times as many fiction books and 40% ... 28 fiction books sold 7 non fiction books are sold D. For every 35 fiction books are sold 11 ...
One coin is flipped six times. What is the probability of flipping two heads and four tails?
Answers
Answer:
1/6 x 1/6 = 1/36
1/36 is our probability of getting two heads and four tails.
help pls Peter bought 9 tickets to a basketball game. He paid a total of $72. Choose the equation that determines whether each ticket cost $6 or $8
Answers
Answer:
Cost of each ticket bought by Peter = $8 for each ticket
Step-by-step explanation:
Given:
Number of ticket bought by Peter = 9 tickets
Amount paid by Peter for tickets = $72
Find:
Cost of each ticket bought by Peter
Computation:
Cost of each ticket bought by Peter = Amount paid by Peter for tickets / Number of ticket bought by Peter
Cost of each ticket bought by Peter = 72 / 9
Cost of each ticket bought by Peter = $8 for each ticket
Harold can solve 25 math problems in 40 minutes. At that rate, how many minutes will it take Harold to solve 60 math problems?
Answers
60 problems in x minutes
25x=2400
x= 96
96 minutes
A stock brokerage has four computers that are used for making trades on the New York Stock Exchange. The probability that a computer fails on any single day is 0.005. Failures occur independently. Any failed computers are repaired after the exchange closes, so each day can be considered an independent trial. (a) What is the probability that all four computers fail on one day
Answers
Answer:
625/100,000,000 or 6.25 out of one million
Step-by-step explanation:
(0.005)^4 = .000000000625 = 625/100,000,000
The probability that all four computers fail on one day is =6.3*[tex]10^{-10}[/tex].
What is probability?It is a branch of mathematics that deals with the occurrence of a random event.
The probability that a computer fails on any single day is 0.005.
Let X denotes no. of computers fail on day
So, n = 4 , p = 0.05, q= 1-0.05=0.995
P (X = x) = [tex]^{n} C_x \;p^{x} \;q^{n-x}[/tex]
P (X = 4)
= [tex]^{4} C_4 \;(0.005)^{4} \;(0.995)^{4-4}[/tex]
=1* 0.00000000063*1
=0.00000000063
=6.3*[tex]10^{-10}[/tex]
Hence, the probability that all four computers fail on one day is
=6.3*[tex]10^{-10}[/tex].
Learn more about probability here:
https://brainly.com/question/15055443
#SPJ2
what is the regular price r of a museum ticket before the discount? Enter the amount table.
Answers
Answer:
The regular price r of a museum ticket before the discount is $60
Step-by-step explanation:
What is discount?
Discount is a reduction made from the gross amount or value of something.
What is regular price?
Regular price means the price at which similar goods or services are regularly sold on the market.
Given,
[tex]54=0.9r\\r=54/0.9\\r=60[/tex]
The regular price r is $60
To know more about discount , regular price here.
https://brainly.com/question/24227305
# SPJ2
Answer:
The regular price r of a museum ticket before the discount is $60
Step-by-step explanation:
hope this helps
Factorial – is the product of natural numbers, for example:
5! = (5)(4)(3)(2)(1) = 120
Simplify the following expression:
1) 11! 2) 15! 3) 20!
8!(7-3)! 10!(9-5)! 13!
Answers
Answer:
Step-by-step explanation:
11! = 11*10*9*8*7*6*5*4*3*2*1 = 3991600
15! = 15*14*13*12*11*10*9*8*7*6*5*4*3*2*1=1.307674368 * [tex]10^{12}[/tex]
also looks like this 1,307,674,368,000
20! = 20*19*18*17*16*15*14*13*12*11*10*9*8*7*6*5*4*3*2 = 2.432902008 * [tex]10^{18}[/tex]
also looks like this 2,432,902,008,000,000,000
8!(7-3)! = 8!4! = (8*7*6*5*4*3*2)(4*3*2) = 967,680
10!(9-5)!13! = 10!4!13! =3,628,800*24*6,227,020,800 = 5.423187139*[tex]10^{17}[/tex]
Fina bought a DVD player for $58.97 and a set of DVDs for $24.98. How much did Fina spend in all?
Answers
Which of the following could cause a 32 oz bag of chips to not weigh exactly 32 oz?
Answers
Answer:
you eat 1 chip
Step-by-step explanation:
eat 1 chip and you get 31 oz
On a coordinate plane, how are the locations of the points (7. -4) and (-7, 4) related?
OA.
reflection across both axes
OB.
reflection across the x-axis
OC. reflection across the y-axis
OD.
locations unrelated
Answers
Answer:OC
Step-by-step explanation:
The number 4 is what percent of 5? A. 0.8% B. 1.25% C. 80% D. 125%
Answers
Answer:
The answer is C. 80%
Step-by-step explanation:
Hope this helped:)
What are all the values of x that make the quadratic A
equation below true?
x² – 16=0
Answers
x = 4
x = -4
good luck :)
Please help me thank you
Answers
Answer:
19/24 option d is correct
(4x-1)2=11
whats the solution
Answers
Answer:
x = 13/8
Step-by-step explanation:
(4x−1)(2)=11
Simplify both sides of the equation.
(4x−1)(2)=11
(4x)(2)+(−1)(2)=11 (Distribute)
8x+−2=118x+−2=11
8x−2=11
Add 2 to both sides.
8x−2+2=11+2
8x=13
Divide both sides by 8.
8x/8 = 13/8
which brings you to the answer of
x = 13/8
(Note:If this was a little confusing,feel free to ask me any questions revolving around this topic)