Answers
Answer:
Area = 18
Step-by-step explanation:
Trapezoid formula is Area = (a + b) * h/2
Area = 5 + 7 * 3/2
Area = 18
Related Questions
You deposit $500 in an investment account. The rate of growth is 6% a year. If you make no further deposits or withdrawals, and the investment is allowed to grow uninhibited, how long will it take for your investment to reach $1,500? Round to the nearest tenth.
A. 18.3 years
B. 45.1 years
C. 27.6 years
D. 8.0 years
Answers
With the given compound interest of 6% per year to reach the investment at $1500, it will take 18.3. years thus option (A) is correct.
What is compound interest?Compound interest is applicable when there will be a change in principal amount after the given time period.
For example, if you give anyone $500 at the rate of 10% annually then $500 is your principle amount. After 1 year the interest will be $50 and hence principle amount will become $550.
As per the given,
Principle amount P = $500
Rate of interest r = 6% annually
Total investment = P(1 + r)^T
1500 = 500(1 + 0.06)^T
300 = 1.06^T
Take natural logs on both sides
ln300 = T ln1.06
T = 18.3 years
Hence "With the given compound interest of 6% per year to reach the investment at $1500, it will take 18.3. years".
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Hey guys can u please help me asap
Oil from uncapped well is radiating
outward in the form of circular film
on the surface of the water. If the
radius of a circle is increasing at
the rate of 10 meters per minute,
how fast is the area of the oil film
growing in square meters per
minute at the instant when the
radius is 22 meters?
Answers
Answer:
Step-by-step explanation:
Area of the circle = 1400π
ie. πr^2 = 1400π . ie r^2 =1400. So r=10√14
Area A = πr^2.Differentiate w.r.t.t
dA/dt = 2πr. dr/dt
900 = 2×π×10√14 .dr/dt
So. dr/dt = 900/2×π×10√14 = 45/π√14 m/sec.
Hope this answer helps you :)
Have a great day
Mark brainliest
f(x) = –?
+ x
Find f(-1)
Answers
Answer:
Replace the variable x with −1
in the expression.
f(−1)=−(−1)²−1
Simplify −(−1)²−1.
Remove parentheses.
−(−1)²−1
Multiply −1 by (−1)²
by adding the exponents.
(−1)³−1
Raise −1 to the power of 3.
−1−1
Subtract 1 from −1.
−2
Step-by-step explanation:
Hope it's right
PLEASE HELP MEEEEEEE! JUSTIFY
Answers
Answer:
Step-by-step explanation:
a.12÷36/7=7/3
12*7/36
84/36
7/3
b.let the number be x
x*1/2=x/2
x*1/2
x/2
A- True
12÷36/7 = 2.333...
7/3 = 2.333....
Hence it's true
B- True
Consider Any random number eg 10
multiplying it by 1/2 gives 5
and dividing by 2 also gives 5
hence it's true.
C- False
3/2 = 1.5
multiplying it to any number will produce half of the number more.
Segment AB is a ____
Answers
a square is 44 metre long its perimeter is
Answers
Answer:
Answer. = 176 m sq.
Step-by-step explanation:
Hope it helps you
Have a nice day
Jerome purchased a 4-year old car for $12,000. He was told this make a model depreciates exponentially at a rate of 5.7% each year. What was the original price to the nearest hundred dollars?
Group of answer choices
$19,300
$15,200
$12,500
$17,500
Answers
PLEASE HELP!!
The batteries from a certain manufacturer have a mean lifetime of 860 hours, with a standard deviation of 70 hours. Assuming that the lifetimes are normally
distributed, complete the following statements.
(a) Approximately of the batteries have lifetimes between 790 hours and
930 hours.
Example
(b) Approximately 95% of the batteries have lifetimes between hours and
hours.
Answers
Answer:
A) 99.74%
B) 633.6 hours and 986.4 hours
Step-by-step explanation:
Solution :
Given that ,
mean = u =810
standard deviation = sigma = 90
P(540< x <1080 ) = P[(540-810) /90 < (x - u ) / sigma < (1080-810) /90 )]
= P( -3< Z < 3)
= P(Z <3 ) - P(Z < -3)
Using z table
=0.9987-0.0013
= 0.9974
answer=99.74%
(B)
middle 95% of score is
P(-z < Z < z) = 0.95
P(Z < z) - P(Z < -z) = 0.95
2 P(Z < z) - 1 = 0.95
2 P(Z < z) = 1 + 0. 95= 1.95
P(Z < z) = 1.95/ 2 = 0.975
P(Z <1.96 ) = 0.975
z ±1.96
Using z-score formula
x= z * sigma + u
x= -1.96* 90+810
x= 633.6
Using z-score formula
x= z * sigma + u
x=1.96* 90+810
x= 986.4
633.6 hours and 986.4 hours
evaluate this expression 5+3(8-2)
Answers
Answer:86 Step-by-step explanation:
Simplify: 3-2
A. -9
B. -6
C.1/9
D.1/6
Answers
Answer:
1/9
Step-by-step explanation:
3 ^ -2
The negative in the exponent means to bring it to the denominator
1/ 3^2
1/9
Answer:
C. 1/9
Step-by-step explanation:
Kirk ran 7 1/2 miles around the track. Each lap is 2 1/2 miles. How many laps did Kirk run?
Write your answer as a fraction or as a whole or mixed number.
Answers
7 1/2 divided by 2 1/2 = 3
The number of new customers n that visit a dry cleaning shop in one year is directly related to the
amount a in dollars) spent on advertising. This relationship is represented by n3 = 13,824a. To
attract 480 new customers, how much should the owners spend on advertising during the year?
Answers
Answer:
$15,264 cost amount on new advertising.
Shown as new equation that includes (original + new customer base)
n3=15264a
Step-by-step explanation:
First we have to find original amount of customers as 3 represents a multiple of n
n3=13824a
n3 means n x 3 then customer base is one third
= 1/3 x 13,824 = 4608 original customers per year
= 4608 original customers +480 new customers
4608 + 480 = 5088 total orig+initial customers
5088 x 3 = 15264 cost
= ($)15,264 cost
new equation
n3=15264a
Laurel used 12 1/2 Square feet of cloth to make three dresses how many square feet of cloth required to make 12 similar dresses?
Answers
Answer:
150 square feet
Step-by-step explanation:
12 1/2 * 12 = 150
Following are the introduced the accompanying observations on bond strength.
11.5 12.1 9.9 9.3 7.8 6.2 6.6 7.0 13.4 17.1 9.3 5.6 5.7 5.4 5.2 5.1 4.9 10.7
15.2 8.5 4.2 4.0 3.9 3.8 3.6 3.4 20.6 25.5 13.8 12.6 13.1 8.9 8.2 10.7 14.2
7.6 5.2 5.5 5.1 5.0 5.2 4.8 4.1 3.8 3.7 3.6 3.6 3.6
Required:
Estimate true average bond strength in a way that conveys information about precision and reliability.
Answers
Answer:
Average strength of bond = 8.08 (Approx.)
Step-by-step explanation:
Given data;
11.5 12.1 9.9 9.3 7.8 6.2 6.6 7.0 13.4 17.1 9.3 5.6 5.7 5.4 5.2 5.1 4.9 10.7 15.2 8.5 4.2 4.0 3.9 3.8 3.6 3.4 20.6 25.5 13.8 12.6 13.1 8.9 8.2 10.7 14.2 7.6 5.2 5.5 5.1 5.0 5.2 4.8 4.1 3.8 3.7 3.6 3.6 3.6
Find:
Average strength of bond
Computation:
Average mean = Sum of all observation / Number of observation
Average strength of bond = [11.5 + 12.1 + 9.9 + 9.3 + 7.8 + 6.2 + 6.6 + 7.0 + 13.4 + 17.1 + 9.3 + 5.6 + 5.7 + 5.4 + 5.2 + 5.1 + 4.9 + 10.7 + 15.2 + 8.5 + 4.2 + 4.0 + 3.9 + 3.8 + 3.6 + 3.4 + 20.6 + 25.5 + 13.8 + 12.6 + 13.1 + 8.9 + 8.2 + 10.7 + 14.2 + 7.6 + 5.2 + 5.5 + 5.1 + 5.0 + 5.2 + 4.8 + 4.1 + 3.8 + 3.7 + 3.6 + 3.6 + 3.6] / 48
Average strength of bond = [387.8] / 48
Average strength of bond = 8.0791
Average strength of bond = 8.08 (Approx.)
PLEASE HELP!!
The domain of a function f(x) is x <_ 0, and the range is y <_-1. What are the domain and range of its inverse function, f-1(x)?
Answers
Answer:
Option D.
Step-by-step explanation:
Domain and range of inverse function:
The domain of the inverse function(x values) is the range(y values) of the original function.
The range of the interse function(y values) is the domain of the original function(x values).
Original function:
Domain: [tex]x \geq 0[/tex]
Range: [tex]y \leq -1[/tex]
Inverse function:
x values in the domain of the inverse function are the y values in the range of the original function. So
Domain: [tex]x \leq 1[/tex]
Same for range(exchange of y and x).
Range: [tex]y \geq 0[/tex]
The answer is given by option D.
Josh says that -5/4 has the same quotient as 5/-4 Is this true or false?
True
False
Answers
A line representing Car B would have a parallel slope if:
Answers
Answer:
you add an image
Step-by-step explanation:
Answer:
... if it had the same slope in the y=mx+b equation where m is the slope and x is just x and b is the y-intercept
Step-by-step explanation:
say Car A had the equation y=2x+3- Car B would also have to have be y=2x but the y intercept could be any value
A right circular conical tank of height 1 foot and radius 1 foot at the top is full of water. Taking the density of the water to be 60 pounds per cubic foot, how much work in foot-pounds is required to pump all the water up and over the top of the tank
Answers
Answer:
Step-by-step explanation:
Height= 1 foot
Radius= 1 foot
Density= 60 pounds per cubic foot
Density = mass/ volume
Vol of cone= 1/3× 22/7 ×(radius^2)
=1/3×22/7×1×1
=22/21
Mass=volume × density
= 22/21 × 60
=440/7
Energy = mgh
= 440/7 ×10 × 1
= 628.57 foot pounds
Find the multiplicative inverse of:
[tex]4 \times \frac{ - 7}{8} [/tex]
[tex] \frac{ - 5}{6} \times \frac{2}{7} [/tex]
Answers
Answer:
Step-by-step explanation:
first no answer=1/4*8/-7 =8/-28
second no answer=6/-5*7/2 =42/-10
HELPP HELPPP ????pls
Answers
Answer:
B) the interquartile range of the data set is 2
Step-by-step explanation:
To find the interquartile range you have to subtract Q3-Q1. Which would be 3-1 and the answer is 2.
Hope this helped :)
Need help with this question. 20 points
Answers
9514 1404 393
Answer:
3
Step-by-step explanation:
For x > 0, the function f(x) is ...
f(x) = 3x -4 . . . . . . . . for x > 0
Translating this down 1 unit makes it ...
g(x) = f(x) -1 = 3x -5
The rate of change for any interval such that x > 0 in the whole interval is the coefficient of x: 3.
The rate of change on the interval is 3.
__
If you like, you can find the rate of change from ...
m = (g(5) -g(2))/(5 -2) = (10 -1)/3 = 9/3 = 3
The rate of change is 3.
NEED HELP ASAP OR NOW!!!
1. Which of the following statements best represents the graph?
A. After one month of service, the cost of internet is $45.
B. After 60 months of service, the cost of internet is $1.
C. After one months of service, the cost of internet is $60.
D. After 5 months of service, the cost of internet is $210.
PLEASE ALSO ANSWER THE QUESTION BELOW.
2. Which is the correct equation best reflects to the graph above on question 1?
A. Y = 90x
B. Y = 180x
C. Y = 45x
D. Both B and C

Answers
Reflect (‐10,4) across the x‐axis what is the reflected ordered pair
Answers
Answer:
(-10, -4)
Step-by-step explanation:
That is the ordered pair
A test of abstract reasoning is given to a random sample of students before and after they completed a formal logic course. The results are given below. Construct a 95% confidence interval for the mean difference between the before and after scores. Is there evidence to suggest the logic course improves abstract reasoning? You may assume that the differences for the dependent samples are normally distributed.
Before 74, 83, 75, 88, 84, 63, 93, 84, 91, 77
After 73, 77, 70, 77, 74, 67, 95, 83, 84, 75
Note : define d = before - after, then đ = 3.7 and s = 4.95
Answers
Answer:
The right answer is "[tex]0.2<\mu d<7.2[/tex]".
Step-by-step explanation:
The given values are:
[tex]\bar{x_0} = 3.7[/tex]
[tex]s_o=4.95[/tex]
[tex]t_{\frac{0.05}{2} }=2.2621[/tex]
As we know,
95% confidence for [tex]\mu_0[/tex] will be:
= [tex]\bar{x_0} \pm t_{\frac{0.05}{2} },n-1\times \frac{s_o}{\sqrt{n} }[/tex]
The lower bound will be:
= [tex]3.7-2.2621\times \frac{4.95}{\sqrt{10} }[/tex]
= [tex]0.16\simeq 0.2[/tex]
The upper bound will be:
= [tex]3.7+2.2621\times \frac{4.95}{\sqrt{10} }[/tex]
= [tex]7.23\simeq7.2[/tex]
Thus the right answer is "[tex]0.2<\mu d<7.2[/tex]"
Define the term volume
Answers
Answer:
Volume: The space which fills up a certain object on the inside.
One half of one tenth is what fraction?
Answers
Answer:
1/2 1/100
Step-by-step explanation:
One half of one tenth is [tex]\frac{1}{20}[/tex] fraction.
What is a fraction?A number that expresses parts of a whole object or a set of objects is known as a fraction.
Given
One half of one tenth
Rewriting in mathematical form
= [tex]\frac{1}{2} (\frac{1}{10} )[/tex]
= [tex]\frac{1}{20}[/tex]
Hence, One half of one tenth is [tex]\frac{1}{20}[/tex] fraction.
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if teen romance had 20% in a circle graph and 4,000 books were signed out in the summer how many of them were teen romance
Answers
Answer:
800 Books were signed out
Step-by-step explanation:
20% of 4000 is 800
Hi there!
»»————- ★ ————-««
I believe your answer is:
800 books.
»»————- ★ ————-««
Here’s why:
As mentioned in the question, there are 4,000 books signed out during the summer.20% out of the 4,000 were teen romance books.⸻⸻⸻⸻
[tex]\boxed{\text{20 Percent of 4,000:}}\\\\\rightarrow 4,000* (20/100)\\\\\rightarrow \boxed{800}[/tex]
⸻⸻⸻⸻
There should be 800 books that were teen romance.
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
a box is created from a sheet of cardboard 40in. on a side by cutting a square from each corner and folding up the sides. let x represent the lenght pf the sides of squares removed from each corner.
What are the factors of this polynomial?
Answers
Step-by-step explanation:
Given that,
A box is created from a sheet of cardboard 40in. on a side by cutting a square from each corner and folding up the sides.
Let x represent the length of the sides of squares removed from each corner.
(a) The volume of a cuboid is given by :
V = lbh
Put values,
V = x(40-2x)(40-2x)
(b) (40-2x) = -2(x-20)
So,
V = x(40-2x)(40-2x)
= [tex]4x\left(x-20\right)^2[/tex]
(c) [tex]4x\left(x-20\right)^2=4x^3-160x^2+1600x[/tex]
It is a cubic polynomial. Its degree is 3.
How to solve x/7 = 7
Answers
Answer:
x = 49
Step-by-step explanation:
x/7 = 7
Multiply each side by 7
7* x/7 =7* 7
x = 49
PLEASE HELP I WILL MARK BRAINLIST
Answers
Answer:
the are would be 18
Step-by-step explanation:
bc 2x3=6 and then 4x3=12 so 12+6=18
2 *2 + 2( 4 x 3 ) = 4+ 24= 28in*2