Answer:
The required interest rate would be of 3.4% a year.
Step-by-step explanation:
The amount of money earned in compound interest, after t years, is given by:
[tex]P(t) = P(0)(1+r)^t[/tex]
In which P(0) is the initial investment and r is the interest rate, as a decimal.
Peyton is going to invest $440 and leave it in an account for 5 years.
This means that [tex]P(0) = 440, t = 5[/tex]
So
[tex]P(t) = P(0)(1+r)^t[/tex]
[tex]P(t) = 440(1+r)^5[/tex]
What interest rate, to the nearest tenth of a percent, would be required in order for Peyton to end up with $520?
This is r for which P(t) = 520. So
[tex]P(t) = 440(1+r)^5[/tex]
[tex](1+r)^5 = \frac{520}{440}[/tex]
[tex]\sqrt[5]{(1+r)^5} = \sqrt[5]{\frac{52}{44}}[/tex]
[tex]1 + r = (\frac{52}{44})^{\frac{1}{5}}[/tex]
[tex]1 + r = 1.034[/tex]
Then
[tex]r = 1.034 - 1 = 0.034[/tex]
The required interest rate would be of 3.4% a year.
Write an expression for "six minus b".
Please help!!
Answer:
6 - b
Step-by-step explanation:
b doesn't have a value.
Question 9 of 10 What is the median of the data set represented by the box plot shown below? A. 67 B. 50 O C. 56 D. 45
/please help\
Answer:
B) 50
Step-by-step explanation:
min = 38
quartile 1 = 45
median = 50
quartile 3 = 67
maximum = 75
In 2009 Zambrano's salary was 18,750,000. He pitched in 28 games in 2009. What was his salary per game in 2009? Round to the nearest cent.
Answer:
his salary per game is 669,643
Step-by-step explanation:
The computation of the salary per game in the year 2009 is shown below
Given that
His salary in the year 2009 is 18,750,000
And, he pitched 28 games in the year 2009
Based on the above information
His salary per game is
= 18,750,000 ÷ 28 games
= 669,643
hence, his salary per game is 669,643
The same is relevant
Given f(x) = 6(1-x), what is the value of f(-8)?
Answer:
7/3
Step-by-step explanation:
1x6
1x(-x)
subtract and solve
Hurry plsss Plsssss
Which of the following describes the data set?
50, 59, 60, 61, 70, 76, 80
O A. Minimum = 80
First quartile = 60
Median = 60.5
Third quartile = 59
Maximum = 50
B. Minimum = 50
First quartile = 59
Median = 61
Third quartile = 76
Maximum = 80
O C. Minimum = 50
First quartile = 80
Median = 73
Third quartile = 60
Answer:
B is the correct answer as it qualifies for all the answers correctly.
Help pleaseee! Whats the answer
Answer:
The answer is 16 for the blue dot
I'm think it's 16
Step-by-step explanation:
This is because it seems that it jumps from 0 to 4. So you add four to the number 4...
Explain distributive property
Answer:
distributive property of binary operations generalizes the distributive law from elementary algebra, which asserts that one has always {\displaystyle x\cdot =x\cdot y+x\cdot z.} For example, one has 2 ⋅ = +. One says that multiplication distributes over addition.
Answer:
Look at attachment:
Step-by-step explanation:
Hope this helps! :)
HELP ME PLEASE PLEASE PLEASE
Answer:
( 4 x 10 y )
Step-by-step explanation:
9) Choose all expressions that are equivalent to 3x + 6 (Use
Algebra tiles if needed)
a) -2x - 4 + 5x + 10
b) 3(x + 6)
c) x + 4 - 2x + 2
d) 3(x + 2)
Answer:
3(x+2)
Step-by-step explanation:
3x+6
Factor out 3.
3(x+2)
Question 30
What was the median annual earnings for all U.S. civilian workers in 2016?
O $51,980
O $49,630
O $41,778
O $46,230
20 Points Please help me
Answer:
98 inches
Step-by-step explanation:
Multiply the top length by the bottom length
Tyler has a three-dimensional shape with a bottom layer of 12 cubic inches. What is the volume of this figure if it has 3 layers all together?
Answer:
1 Tyler=12in³
3 Tyler =12×3=36in³
Out of 24 cookies,
3
4
are chocolate chip. How many cookies are chocolate chip?
Answer:
18 cookies
Step-by-step explanation:
3/4 = 75%
75% = 0.75
Multiply this by 24 = 18 cookies
Khan uses 78ft of fence for a pen and the length is 25ft. What is the width
Answer:
The width is 14ft
Step-by-step explanation:
Given
[tex]Fence = 78[/tex]
[tex]Length = 25[/tex]
Required
Determine the width
To do this, we assume that the fence is a rectangle
So, we use the following formula.
[tex]Perimeter = 2 * [Length + Width}[/tex]
Where:
[tex]Perimeter = Fence = 78[/tex]
So, we have:
[tex]78= 2 * [25 + Width}[/tex]
Divide both sides by 2
[tex]39= 25 + Width[/tex]
Solve for Width
[tex]Width = 39 - 25[/tex]
[tex]Width = 14[/tex]
Below are two parallel lines with a third line intersecting them
Answer:
its 122
Step-by-step explanation:
just did it on khan academy
If a sample proportion is 0.55, which of the following could be a 90% confidence interval for the population proportion? Select all that apply.
(a) Lower bound: 0.50; Upper bound: 0.60 (b) Lower bound: 0.53; Upper bound: 0.59 (c) Lower bound: 0.52; Upper bound: 0.58 (d) Lower bound: 0.60; Upper bound: 0.70 (e) Lower bound: 0.45; Upper bound: 0.60
Answer:
The correct options are a and c.
Step-by-step explanation:
Confidence interval:
A confidence interval is given by the sample proportion plus/minus the margin of error. This means that the confidence interval is symmetric, that is, the difference between the upper bound and the sample proportion has to be the same as the difference between the sample proportion and the lower bound.
Sample proportion is 0.55
So options for the confidence interval are:
Lower bound - upper bound
0.54 - 0.56
0.53 - 0.57(which means that option b is wrong)
0.52 - 0.58(which means that option c is right)
...
0.5 - 0.6(which means that option a is right).
The correct options are a and c.
The confidence interval is the range of value between which the true population proportion would lie given a certain margin of error. Hence the correct options are A and C
Hence, the upper and lower boundary would the same error value above and below the mean proportion.
Evaluating the options given :
Error below = 0.50 - 0.55 = -0.05
Error above = 0.60 - 0.55 = 0.05
Error below = 0.53 - 0.55 = -0.02
Error above = 0.59 - 0.55 = 0.04
Error below = 0.52 - 0.55 = -0.03
Error above = 0.58 - 0.55 = 0.03
Error below = 0.60 - 0.55 = 0.05
Error above = 0.70 - 0.55 = 0.15
Error below = 0.45 - 0.55 = -0.10
Error above = 0.60 - 0.55 = 0.05
Therefore, the only options with equal margin of error, above and below the mean are options A and C.
Learn more : https://brainly.com/question/15111061
V 153
Given tan A= - and that angle A is in Quadrant IV, find the exact value of
sec A in simplest radical form using a rational denominator.
4
The secant of the angle A is 13/4
How to determine the value of sec(A)?The given parameter is:
[tex]\tan(A) = -\frac{\sqrt{153}}{4}[/tex]
Using the trigonometry identity, we have:
[tex]\sec^2(A) = \tan^2(A) + 1[/tex]
This gives
[tex]\sec^2(A) = (-\frac{\sqrt{153}}{4})^2 + 1[/tex]
Evaluate the exponent
[tex]\sec^2(A) = \frac{153}{16} + 1[/tex]
Evaluate the sum
[tex]\sec^2(A) = \frac{169}{16}[/tex]
Take the square root of both sides
[tex]\sec(A) = \pm \frac{13}{4}[/tex]
Secant in quadrant IV is positive.
So, we have:
[tex]\sec(A) = \frac{13}{4}[/tex]
Hence, the secant of angle A is 13/4
Read more about trigonometry ratios at:
https://brainly.com/question/11967894
#SPJ1
Distance between Train 1 and Train 2 = 95 miles.
Average speed of Train 1 = 45 mph.
Average speed of Train 2 = 60 mph.
If both trains leave at the same time and travel toward each other but on parallel tracks, in how much time will their engines be opposite each other? (Hint: When the engines are opposite each other, together the trains will have traveled 95 miles. Their relative speed of travel is the sum of their respective speeds, or 105 mph.)
Travel time = hours.
9514 1404 393
Answer:
19/21 hours, about 54 minutes 17 seconds
Step-by-step explanation:
The time is found from ...
time = distance/speed
time = (95 mi)/(105 mi/h) = 95/105 h = 19/21 h
The trains will meet after 19/21 hours, about 54 minutes, 17 seconds.
Answer:
19
Step-by-step explanation:
Let f(x)=3(12)x+1. Which is equal to f(1)?
Answer:
just substitute the value of x as 1
f(x)=3(12)x+1
f(1)=3(12)(1)+1
f(1)=3(12)(1)+1
f(1)=36+1
f(1)=37
Maria works for an international marketing consulting group. She is studying the monthly demands for Range Rover (suv) in two different cities of the country. She has 180,000 new Range Rovers to ship to the two cities, and she decides to ship 40,000 more to New York City than to Boston. Find the number of (suv) to be shipped to New York City . Please no link I can't open them
Answer:
110,000 (suv) to be shipped to New York City
Step-by-step explanation:
We know that there are 180,000 (suv) to be shipped in total. We also know that there are two cities which these (suv) must be shipped to. So, that is 180,000 (suv) to be shipped to two cities. Let's right a true equation with this information:
Let n represent the number of (suv) to be shipped to New York City and b represent the number of (suv) to be shipped to Boston.
n + b = 180,000
Now, we also know that the number of (suv) to be shipped to New York City is 40,000 greater than the number of (suv) to be shipped to Boston. So, we can write another true equation (for the sake of convenience, let's write it in terms of b rather than in terms of n):
b = n - 40,000
Now that we have a value for b in terms of n, we can plug this value into b in our first equation:
n + (n - 40,000) = 180,000
From here, we can solve:
n + n - 40,000 = 180,000
2n - 40,000 = 180,000
2n = 220,000
n = 110,000
Thus, we have our final answer.
I would appreciate Brainliest, but no worries.
How many faces does the solid made from the net below have?
There are 5 triangles and 1 pentagon for a total of 6
The answer is 6
find the value of
x!!!!!!!!!!
Answer:
x = 16
Step-by-step explanation:
7x - 12 + 5x = 180
12x = 192
x = 16
Answer:
x = 16
Step-by-step explanation:
180 = (7x-12) + 5x
192 = 12x
16 = x
Plz help me! Well mark brainliest if correct!
Answer:
diameter you are learning that the circle as a line in the middle goes across and the diameter
Use the distributive property to multiply the expression.9m (7m+2)
Answer:
63m^2 + 18m
Step-by-step explanation:
9m x 7m + 9m x 2
63m^2 + 9m x 2
63m^2 + 18m
the ^2 meaning exponent 2
The points (3,h) and (10,1) fall on a line with a slope of
4/7 What is the value of h?
Answer:
h = -3Step-by-step explanation:
Use slope formula:
(1 - h)/(10 - 3) = 4/7(1 - h) / 7 = 4/71 - h = 4h = 1 - 4h = -3Answer:
The answer is h = -3
Step-by-step explanation:
(1 - h)/(10 - 3) = 4/7
(1 - h) / 7 = 4/7
1 - h = 4
h = 1 - 4
h = -3
(2/3)^4=
am very confuse guys help!!!
Answer:
16/81
Step-by-step explanation:
Lets break it down
When you see ^4, you are multiplying the base ( 2/3 ) by itself 4 times
So lets write the equation
[tex]\frac{2}{3} *\frac{2}{3} *\frac{2}{3} *\frac{2}{3} = x\\[/tex]
[tex]\frac{4}{9} *\frac{4}{9} =x[/tex]
[tex]\frac{16}{81} =x\\x= \frac{16}{81}[/tex]
If my answer is wrong pls correct me.
If you like my answer and explanation then please mark me as Brainliest!
-Chetan K
Please no links or flies, x .
The table shows how a 2-acre piece of land is split into 4 sections for holding animals. How many acres are used for horses?
Goats 35 acre
Pigs 15 acre
Llamas 25 acre
Horses ??
???/5
PLEASE ANSWERRRRR
9514 1404 393
Answer:
4/5 acre
Step-by-step explanation:
We assume your allocations are ...
goats: 3/5 acre
pigs: 1/5 acre
llamas: 2/5 acre
2 acres is 10/5 acres, so the remaining area is ...
10/5 -3/5 -1/5 -2/5 = (10 -3 -1 -2)/5 = 4/5
4/5 acre is allocated to horses.
Find the distance between the pair of points (-1, 4) and (-3, 7)
no links
Answer: d=sqrt(13)=3.605
Step-by-step explanation:
We know that the distance between the two points (x 1 ,y 1 ) and (x2,y 2 ) is
d= sqrt((x2-x1)^2 +(y2-y1)^2 )
as given
x1=-1 ,y=4 ,x2=-3,y2=7
d=sqrt((-3+1)^2+ (7-4)^2)
d=sqrt((-2)^2+(3)^2)
d=sqrt(4+9)
d=sqrt(13)=3.605
Plz hurry.....................
Answer:
It should be 115.2 meters^3
Step-by-step explanation:
Volume = 1/3 a^2h
= 1/3 x 12^2 x 2.4
= 115.2 m ^3
how many outfits can you make out of 2 helmets, 6 shirts, and 2 pairs of shorts
Answer:
2 OUTFITS
Step-by-step explanation: