Answer:
$1,250
Step-by-step explanation:
The rate is 8%
= 8/100
= 0.08
Time is 6 months
= 1/2 year
Therefore the principal can be calculated as follows
Principal × (1+0.08(1/2) = 1300
Principal × 1+ 0.04 = 1300
Principal × 1.04= 1300
Principal= 1300/1.04
Principal = $1,250
Hence the principal is $1,250
Proportions 6. A certain salsa is made with 6 parts tomato and 2 parts bell pepper. How many cups of tomato should be combined with 1.5 cups bell pepper? Write a proportion, then solve.
Answer:
4.5 cups of tomatoes should be combined with 1.5 cups of bell peppers.
Step-by-step explanation:
Given that the salsa is made with 6 parts tomato and 2 parts bell pepper.
Let t be tomatoes and b be bell peppers
The proportion will be:
t:b
The ratio of tomatoes to bell pepper will be:
6:2
This ratio simplifies to 3:1
This means no matter how much more the tomatoes and peppers are, the simplified ratio will be same.
Now the bell peppers are 1.5 cups then the proportion will be:
[tex]t:b::t:b\\6:2::t:1.5\\\frac{6}{2} = \frac{t}{1.5}\\3 = \frac{t}{1.5}\\t = 1.5 * 3\\t =4.5[/tex]
Hence,
4.5 cups of tomatoes should be combined with 1.5 cups of bell peppers.
30 is 2/3 of what number
Answer:45
Step-by-step explanation:
Key Word:of
30*2/3 = 45
Answer:
Step-by-step explanation:
let the number be x.
then,
2/3 of x = 30
=> 2/3x = 30
=> x = 30 × 3/2
=> x = 45
so, the required number is 45 .
hope it helps...!!!
Which statement about these triangles is true?
Answer:
It's the last one
I hoped that helped
Meredith borrows 12560 and pays 2 percent simple interest each year for 4 years what is the total amount of interest that she will pay on the loan
Answer:
$13564.8
Step-by-step explanation:
Step one:
given data
principal= $12560
rate= 2%= 0.02
time= 4years
Required:
the simple interest
Step two:
the expression for the simple interest is
A= P(1+rt)
substitute
A=12560(1+0.02*4)
A=12560(1+0.08)
A=12560(1.08)
A=13564.8
$13564.8
it's C (11,555.20)
now have a nice day guys
what are all values of x for which the series shown converges?
Answer:
One convergence criteria that is useful here is that, if aₙ is the n-th term of this sequence, then we must have:
Iaₙ₊₁I < IaₙI
This means that the absolute value of the terms must decrease as n increases.
Then we must have:
[tex]\frac{(x -2)^n}{n*3^n} > \frac{(x -2 )^{n+1}}{(n + 1)*3^{n+1}}[/tex]
We can write this as:
[tex]\frac{(x -2)^n}{n*3^n} > \frac{(x -2 )^{n+1}}{(n + 1)*3^{n+1}} = \frac{(x -2)^n}{(n + 1)*3^n} * \frac{(x - 2)}{3}[/tex]
If we assume that n is a really big number, then:
n + 1 ≈ 1
And we can write:
[tex]\frac{(x -2)^n}{n*3^n} > \frac{(x -2)^n}{(n)*3^n} * \frac{(x - 2)}{3}[/tex]
Then we have the inequality
[tex]1 > (x - 2)/3[/tex]
And remember that this must be in absolute value, then we will have that:
-1 < (x - 2)/3 < 1
-3 < x - 2 < 3
-3 + 2 < x < 3 + 2
-1 < x < 5
The first option looks like this, but it uses the symbols ≤≥, so it is not the same as this, then the correct option will be the second.
Need Help this is my test! I will mark you as brainliest if you answer!!!
The relationship between the number of hours traveled and the number of miles traveled on a
family road trip is graphed below.
750
15. What is the ratio of hours to miles?
675
600
525
16. How many miles could the family travel
in a period of 12 hours?
450
MILES
375
300
17. About how many hours will it take the family
to travel 700 miles?
225
150
75
Maneuvering the Middle LLC, 2015
1
2
8 9
3 4 5 6 7
TIME (HOURS)
Answer:
15) The ratio of hours to miles is 1 hour to 75 miles; 1/75
16) They will have traveled 900 miles.
17) It will take them around 9 hours.
Step-by-step explanation:
15) Finding the unit rate of the trend (which in this case I considered to be line) can be done by finding the slope and simplifying it. There is a constant linear slope in this graph so it was evident that as the x-values increased by 1, the y-values increased by 75. All you had to do was convert the values into ratio form which would be 1/75. The 1 should remain "numerator" and the 75 as denominator because it is the hour-to-mile ratio (the units were listed in thw instructions in the chronological order in which they were to be answered in ratio form; 1 hour to 75 miles).
16) You can set up an equivalent-ratios equation. Because we know that the unit ratio is 1 hour to 75 miles, and we were given the value of 12 hours, we can set up the equation like this: 1/75=12/x. I would then multiply the 75 miles by 12 so that the ratios will be proportionate. This gives me 900 miles. Now I know, based on the ratio 12 hours to 900 miles (12/900), that if the family travels for 12 hours, they will have traveled 900 miles.
17) We can do the same thing as we did in number 16. We just have to switch the value we use in the second ratio. This means that the equivalent-ratios equation will look like 1/75=x/700, because 700 miles is our given value as opposed to a value with a unit of hours, and miles are the denominators in these ratios. Now we have to see how many times 75 goes into 700 to figure out what to multiply the 1 by to get our proportionate ratios. We have to divide 700 by 75 which is roughly 9 (rounded down from 9.3). The ratio now reads: 1/75=9/700. This means that it will take the family around 9 hours to drive 700 miles (9 hours to 700 miles was the ratio).
Solve the system of equations.
- 52 + 2y = 9
y=73
T =
y =
Show Calculator
Step-by-step explanation:
(1 point)
No, there isn't a more efficient way to solve this system.
Yes, a more efficient way is to multiply the first equation by 4, add to eliminate y, then solve for x.
Yes, a more efficient way is to multiply the first equation by −4, add to eliminate y, then solve for x.
Yes, a more efficient way is to multiply the first equation by −4, add to eliminate x, then solve for y.
You stand 20 ft from a bottle rocket on the ground and watch it as it takes off vertically into the air at a rate of 18 ft/sec. Find the rate at which the angle of elevation from the point on the ground at you feet and the rocket changes when the rocket is 40 ft in the air. At the moment the rocket is 40 ft in the air, the angle of elevation is changing at a rate of rad/se.
Answer:
9/50 rad/sec
Step-by-step explanation:
let the angle be represented as ∅
distance form bottle rocket on the ground = 20 ft
height of rocket = 40 ft
solution
first we differentiate w.r.t.time
= sec²(∅)*(d(∅)/dt))=(1/20)*dh/dt --------- ( 1 )
= d(∅)/dt = (1/20)cos²(∅)* (dh/dt) ------- ( 2 )
note : 1/sec(∅) =cos(∅)
therefore ; dh/dt = 18 ft/sec
applying Pythagoras theorem
Tan ∅ = 40 / 20
h^2( hypotenuse ) = a^2( height ) + b^2 ( distance from bottle rocket )
h = √ 40^2 + 20^2 = √ 2000
also cos ( ∅ ) = b / h = 20 / √ 2000
hence cos²∅ = 1/5
Back to equation 2
d(∅)/dt=(1/20)×(1/5)×(18)
= 18/100 = 9/50 ( changing rate of angle of elevation )
question is in the picture pls help me. much appreciated
A student said that since –9 is less than 4, then |–9| is less than |4|. Is the student correct? Explain why or why not.
Answer:
The student is incorrect because I I or absolute value would make the -9 to positive 9.
Step-by-step explanation:
-9<4
on a numberline
-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4
but the absolute value of -9 (or) |–9|
is actually positive 9
9>4
on a number line
4 5 6 7 8 9
What is the value of n in this expression?
(9^3)^12=9^n
a) 36
b) 15
c) 9
d) 4
Answer:
A. 36
Step-by-step explanation:
[tex]9^{3*12} =9^{36}[/tex]
You multiply the the exponent
Help what is 2v+5(3v+4
explanation:
There isn't an exact way to answer this problem. Is there more to the question? If not, I am unable to answer it for you.
José’s mother is trying to decide whether or not she should buy a 12-ounce package of coffee on sale for $7.50. She knows that she can buy the same coffee for $9.00 per pound. Which is the better buy?
What is the answer to the following?
1. 8/9 divide by 2/3
2. 4 divided by 3/4
3. 2 1/2 divided by 3/4
4. 4/9 divided by 5 1/3
5. 7/8 divided by 14
i would go with either a or b
What is the y-intercept of the parabola defined by y=−2x2+6x−8 and what is the equation of the axis of symmetry?
Answer:
y-intercept = (0, 8)
axis of symmetry= -b/2a
Step-by-step explanation:
Also when you want something to be squared use this symbol ^
Need answerrrrrrrrrrrrr fast
The cost of an iPhone is $899.99 plus 8.5% tax. What is the cost of tax for the iPhone?
Answer:
724.0915
Step-by-step explanation:
multiply 899.99 and 8.5 you get 724.0915
hope this helps
On interval 0 ≤ x < 2π, where are the x-intercepts of y = cos(2x)?
StartFraction pi Over 2 EndFraction and StartFraction 3 pi Over 2 EndFraction
0, π, and 2π
StartFraction pi Over 2 EndFraction, pi and StartFraction 3 pi Over 2 EndFraction
Answer:
Its B
Step-by-step explanation:
Got it right on the test
Answer:
The answer is B
Step-by-step explanation:
Edge 2021
Jonathan went shopping for a new camera. The listed price of the camera was $43, but the price with tax came to 46.87. Find the percent sales tax
Answer:
x = 8,25%
Step-by-step explanation:
46,87 - 43 = 3,87
$46,87 ----- 100%
$3,87 ------ x
46,87x = 100 . 3,87
x = 387 / 46,87
x = 8,25%
w pewnym trapezie o wysokości 6cm jedna z podstaw ma długość 9cm ,a druga jest od niej o 2cm krótsza . Pole tego trapezu wynosi:
Odpowiedź:
48 cm
Wyjaśnienie krok po kroku:
Jeśli się uwzględni:
Wysokość trapezu = 6 cm
Długość podstaw:
Podstawa 1 = a = 9 cm
Podstawa 2 = b = (a - 2) = 9 - 2 = 7 cm
Uaing relacji:
Powierzchnia trapezu = 1/2 (a + b) * h
Powierzchnia trapezu = 0,5 (9 + 7) * 6
Powierzchnia trapezu = 0,5 (16) * 6
Powierzchnia trapezu = 8 * 6
Powierzchnia trapezu = 48 cm
ASAP PLZ
Which of the following is a conditional statement?
I will eat anything that is dipped in chocolate.
Chocolate can be white or brown.
I like chocolate.
Chocolate chip cookies are the best kind.
Answer:
im pretty sure its the first
Step-by-step explanation:
John runs a computer software store. He counted 122 people who walked by his store in a day, 60 of whom came into the stores. Of the 60, only 23 bought something in
the store. Estimate the probability that a person who walks by the store will enter the store?
Answer:
unlikely
Step-by-step explanation:
60/122
60 ÷122=0.49
0.49 × 100 =49
49% chance
answer is unlikely
A friend recently planned a camping trip. He had two flashlights, one that required a single 6-V battery and another that used two size-D batteries. He had previously packed two 6-V and four size-D batteries in his camper. Suppose the probability that any particular battery works is p and that batteries work or fail independently of one another. Our friend wants to take just one flashlight. For what values of p should he take the 6-V flashlight
Answer:
The values of p = 0 < p ≤ 2/3
Step-by-step explanation:
First we write the probability of 6V flashlight working representing it as a binomial mass function of a binomial random variable
P ( 6v flashlight working ) = P ( at least one 6V battery works )
= P ( 1 6v battery work ) + P ( 2 6v battery work )
= b( 2; 2, p ) + b( 1; 2, p )
write out a formula of b( 2; 2, p ) + b( 1; 2, p )
P ( 6v flashlight working ) = p^2 + 2p( 1 - p )
Next we write the probability of D flashlight working representing it as a binomial mass function of a binomial random variable
P ( D flashlight works ) = p ( at least two D batteries works )
= b( 4; 4, p ) + b(3;4, p ) + b(2; 4, p )
write out a formula of b( 4; 4, p ) + b(3;4, p ) + b(2; 4, p )
P ( D flashlight works ) = [tex]P^4 + 4p^3 ( 1- p ) + 6p^2 ( 1- p)^2[/tex]
attached below is the remaining solution
what is 7/9 - 1/3 simplified
Answer:
4/9 is the answer
Step-by-step explanation:
you're welcome
Let g (2) = 22 – 5 and h (2) = 22 +1.
Find (g+h) (2)
Answer:
23 + 17 = 40 :)
What is the constant in this expression? X/5 - 9
Answer:
-9
Step-by-step explanation:
the constant is a single number
A sample of 29 boxes of cereal has a sample standard deviation of 0.81 ounces. Construct a 95% confidence interval to estimate the true standard deviation of the filling process for the boxes of cereal.
a. ( 0.427,1.144)
b. (0.515,1.105)
c. (0.726,0.726)
Answer:
The 95% confidence interval is [tex]0.6428 < \sigma < 1.0954[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 29
The sample standard deviation is [tex]s = 0.81[/tex]
Generally the 95% confidence interval to estimate the true standard deviation is mathematically represented as
[tex]\sqrt{\frac{(n- 1)s^2 }{ X^2_( \frac{\alpha }{2 } , n-1)} } < \sigma < \sqrt{\frac{(n- 1)s^2 }{ X^2_(1- \frac{\alpha }{2 } , n-1)} }[/tex]
Generally from the chi -distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] at a degree of freedom of [tex]df = 29 - 1 = 28[/tex] is
[tex]X^2 _{\frac{\alpha }{2} , 28 } =44.46079184[/tex]
Generally from the chi -distribution table the critical value of [tex]1 - \frac{\alpha }{2}[/tex] at a degree of freedom of [tex]df = 29 - 1 = 28[/tex] is
[tex]X^2 _{(1 - \frac{\alpha }{2}) , 28 } = 15.30786055[/tex]
So
[tex]\sqrt{\frac{(29- 1)0.81^2 }{ 44.46079184 } } < \sigma < \sqrt{\frac{(29- 1)0.81^2 }{15.315.307860551 }[/tex]
=> [tex]0.6428 < \sigma < 1.0954[/tex]
This symbol means that both sets could have the same elements. (A ⊆ B)
True
False
Answer:
true
Step-by-step explanation:
because it is
Answer:
True
Step-by-step explanation:
Which function has vertical asymptotes at x=-1 and x=-2, an x-intercept at(8,0) , and no holes?
Answer:
y = (x - 8)/((x + 1)(x + 2))
Step-by-step explanation:
vertical asymptotes are given as at x=-1 and x=-2
Now, vertical assymptotes are values of x when the denominator is zero.
Thus, the function of the denominator can be written as;
(x + 1)(x + 2)
We are also told that x-intercept at (8,0).
Which means that y is zero when x is 8.
Thus, numerator is 8 when y is zero.
Thus, numerator can be expressed as (x - 8)
Thus,the function is now;
y = (x - 8)/((x + 1)(x + 2))
Describe the cross section of the rectangular prism by naming its shape?
Answer:
rectangle
Step-by-step explanation:
Kind of a confusing question, but I'm guessing that its asking what the shape of the cross section is. And its a rectangle.