Ezra deposited $30 in a savings account earning 10% interest, compounded annually.
To the nearest cent, how much will he have in 2 years?
Answer:
$36.00
Step-by-step explanation:
10% of 30 is 6. Add that to the original amount
$70 shoes, with 6% sales tax
Answer: $4.20
Step-by-step explanation:
Answer:
Shoes would cost $74.2 with tax
Step-by-step explanation:
70 * 0.06 = 4.2
70+ 4.2 = 74.2
How many times does 20 go to 140
Answer:
7
Step-by-step explanation:
20 x 7 = 140
Select all of the true equations.
sin(27)=x/15
cos(63)=y/15
tan(27)=y/x
sin(63)=x/15
tan(63)=y/x
Answer:
cos(63)=y/15
tan(27)=y/x
sin(63)=x/15
Step-by-step explanation:
You need to memorize the definitions of all the trig functions. Then these types of problems will be easy for you. OK?
Given the formula l = prt, where l = interest earned, P is the principal invested and r is the interest rate. If $245 is the principle invested at an interest rate of 3%, and Paul earned 69.80 interest, how long, t, (in years) was the money invested for?
Answer:
t= 9.49 years which can be estimated to 9 years
Step-by-step explanation:
Given the formula l = prt,
Where P is the principal=$245
r is the interest rate.=3%,
l = interest earned=$69.80
l = prt
Therefore time, t= I/ pr
t= 69.80/ 245 x 3%
t=69.80/ 245 x 0.03
t= 9.49 years which can be estimated to 9 years
PLEASE HELP ME ASAP
Answer:
O x = -6
Step-by-step explanation:
[tex] \frac{x + 3}{6} > \frac{x}{4} + 1[/tex]
2(x + 3) > 3x + 12
2x + 6 > 3x + 12
2x - 3x > 12 - 6
-x > 6
= x < -6
Can you please show work. I will give brainliest.
Answer:
B
Step-by-step explanation:
area of a rectangle is l times width
24x30=720
top triangles are is 49.5
middle triangle is 67.5
bottom triangle is 150
add everything up
Answer:
B.) 978 square inches
Step-by-step explanation:
Area formula for a square: lw
L=30
W=24
30·24=720
Area formula for a triangle: BH1/2
1st & 2nd Triangles
B=9
H=12
(9)(12)(1/2)=54
(9)(12)(1/2)=54
3rd Triangle: (15)(20)(1/2)=150
Add all the areas of the shapes: 54+54+720+150=978
Hope this helps! :)
Correct me if I'm wrong
2. By definition, jumbo shrimp are those that require between 10 and 15 shrimp to make a pound. Suppose that the number of jumbo shrimp in a 1-pound bag averages μ = 12.5 with a standard deviation of σ = 1.5, and forms a normal distribution. What is the probability of randomly picking a sample of n =25, 1-pound bags that average more than M = 13 shrimp per bag?
Answer:
0.0475 = 4.75% probability of randomly picking a sample of n =25, 1-pound bags that average more than M = 13 shrimp per bag.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Single bag:
[tex]\mu = 12.5, \sigma = 1.5[/tex]
Sample of 25 bags:
[tex]n = 25, s = \frac{1.5}{\sqrt{25}} = 0.3[/tex]
What is the probability of randomly picking a sample of n =25, 1-pound bags that average more than M = 13 shrimp per bag?
This is 1 subtracted by the pvalue of Z when X = 13. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{13 - 12.5}{0.3}[/tex]
[tex]Z = 1.67[/tex]
[tex]Z = 1.67[/tex] has a pvalue of 0.9525
1 - 0.9525 = 0.0475
0.0475 = 4.75% probability of randomly picking a sample of n =25, 1-pound bags that average more than M = 13 shrimp per bag.
(4m2−m+2)−(−3m2+10m+4) find the difference
Answer:
7m² - 11m - 2
Step-by-step explanation:
(4m² - m + 2) - (-3m² + 10m + 4)
= (4m² - (-3m²)) + (-m - 10m) + (2 - 4)
= (4m² + 3m²) + (-11m) + (-2)
= 7m² - 11m - 2
(+) meet (+) = (+)(+) meet (-) = (-)(-) meet (+) = (-)(-) meet (-) = (+)10
10
Identify the equation of the graph shown.
y = 2x - 3
B)
y = 2x + 6
C)
y = 0.5x + 6
D)
y = 0.5x - 3
Answer:
The answer is C hopefully this helps
Step-by-step explanation:
40 POINTS
ASAP PLEASE HELP
Which experimental result best matches the theoretical probability of the event?
A.
Liza has an 8-sided number solid that is numbered 1 through 8. She rolls it 56 times and records her results. The results show that an even number was rolled 14 times.
B.
Mia has a bag that contains a letter block for each of the 26 letters of the alphabet. She draws a letter block from the bag, writes down the letter, and puts the block back in the bag. She repeats this 26 times. The results show that she drew a vowel (A, E, I, O, or U) 6 times.
C.
Sarah spins a spinner with 6 equal-sized sections of different colors and records the color on which the spinner lands. She repeats this 24 times. The results show that the spinner landed on red 10 times.
D.
Charlie draws a number tile from a box containing the numbers 1 to 10, writes down the number, and puts the tile back in the box. He repeats this 40 times. The results show that the number 5 was drawn 10 times.
Answer:
Mia has a bag that contains a letter block for each of the 26 letters of the alphabet. She draws a letter block from the bag, writes down the letter, and puts the block back in the bag. She repeats this 26 times. The results show that she drew a vowel (A, E, I, O, or U) 6 times.
Step-by-step explanation:
The best match is Mia has a bag that contains a letter block for each of the 26 letters of the alphabet option (B) is correct.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
It is given that:
The theoretical probability of the event?
As we know,
The area of mathematics that deals with probability are called probability theory.
Probability theory tackles the idea in a rigorously mathematical way by expressing it through a set of axioms, despite the fact that there are many distinct probability interpretations.
Thus, the best match is Mia has a bag that contains a letter block for each of the 26 letters of the alphabet option (B) is correct.
Learn more about the probability here:
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Select the correct answer.
The area of a duck enclosure is 300 square feet, with 100 square feet occupied by a pond. Each duck in the enclosure needs more than 20 square feet of space on dry land. If x ducks can be put in the enclosure, which is the simplest inequality that represents this situation?
A.
x < 6
B.
x < 10
C.
x < 15
D.
x < 20
Answer:
B x<10
Step-by-step explanation:
YOUR SMART HVJSHECGHERJEHJRREJHDUHDJK
Jana wrote the expression 5n+3 as part of a problem she was solving. She wanted Sally to read it back to her verbally so she could check her work. Which verbal description best represents the expression 5n+3 (PLEASE ANSWER AS QUICK AS POSSIBLE!!)
Answer:
Step-by-step explanation:
Step-by-step explanation:
three more than five times some number n
find the height of the cone
12cm 6cm
h=
Answer:
the root is
[tex] \sqrt[2]{10.3923048} = 3.22370979[/tex]
even tho I'm not sure
Step-by-step explanation:
h^2=135 h=√135
so the answer is 135
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answer: The correct answer is A
Step-by-step explanation:
At 1, there is a start of $45
Then for 2 it adds $25
Then 3 adds $25 dollars.
Because 1 started at $45, that means it is a rate of 25 dollars per hour, but a starting cost of 20+25= $45.
Hope this helped!
a train travels north at 103km/hr is it a axample of speed ,velocity ,acceleration or speed and acceleration
Answer:
get photomath
Step-by-step explanation:
Find the slope of a line that passes through the given points: (-6,4) and (6,-5) ]
Write an equation for each graph in a slope
Intercept form
Answer:
y=2x-3
Step-by-step explanation:
Y-intercept can be read off the graph.
Slope can be determined using the formula:
y2-y1 divided by x2-x1 (Substitute co-ordinates)
Answer:
y=2x-3
Step-by-step explanation:
y=mx+b
Where m is the slope and b is the y intercept
Slope is rise over run, the line is up 2 over 1
And the point of the line where it meets the y axis is -3. so b is -3
if Mr.Johnson had 90 students turn in 9 missing assignments each, how many assignments does Mr. Johnson have to grade?
If it takes Mr. Johnson minimum of 5 minutes to grade each assignment, how long is it going to take Mr. Johnson. to grade the assignments?
Answer:
4050 minutes
Step-by-step explanation:
9 x 5 = 45
45 x 90 = 4050
What is the answer to thisss ?????
Can y’all help me please
Answer:
What would you like to know?
Step-by-step explanation:
The perimeter is 28 yds
The area is 24 yds
Answer:
The perimeter is 28 yds
The area is 24 yds
Step-by-step explanation:
4. What effect does doubling the radius of a cylinder have on the area of the base of the cylinder?
a. The area of the base is doubled.
b. The area of the base is quadrupled.
C. The area of the base is halved.
d. The area of the base is multiplied by one-fourth.
Step-by-step explanation: I hope this helped?
Pls helpppppp anyoneeee
Answer:
16
Step-by-step explanation:
A sundial that measures 38 inches across its center is shown on the concrete slab. In terms of π, what area of the slab is covered by the sundial?
Answer:
that answer is incorrect for usatestprep it is B for usatestprep
Step-by-step explanation:
Area covered by sundial is 4,534.16 inch²
Area of circle;Given that;
Length of radius = 38 inches
Find:
Area covered by sundial
Computation:
Area covered by sundial = πr²
Area covered by sundial = (3.14)(38)²
Area covered by sundial = (3.14)(1,444)
Area covered by sundial = 4,534.16 inch²
Find out more information about 'Area of circle'.
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Let y=f(x) be the particular solution to the differential equation dy/dx=2x−1/y^2 with the initial condition y(0)=3. Which of the following is an expression for f(x)?
A. √(x^2−x+9)
B. −3/3x^2−3x−1
C. (3x^2−3x)^1/3+3
D. (3x^2−3x+27)^1/3
Answer:
D. (3x^2-3x+27)^1/3
Step-by-step explanation:
dy/dx=2x−1/y^2
Cross multiply to get Y's and X's on different sides.
(y^2)dy = (2x-1)dx
Take the integral of each side
∫(y^2)dy = ∫(2x-1)dx
y^3/3 = 2x^2/2 - x + C
Multiply both sides by 3
y^3 = 3x^2 - 3x + C
Plug in (0,3) and solve for C
27 = 0 - 0 + C
C = 27
Plug in C to the equation
y^3 = 3x^2-3x+27
Cube root both sides to get just y
y = √(3x^2-3x+27)
y = (3x^2-3x+27)^1/3
D.
The particular solution of the equation will be "[tex](3x^2-3x+27)^\frac{1}{3}[/tex]".
Differential equationAccording to the question,
→ [tex]\frac{dy}{dx}[/tex] = [tex]\frac{2x-1}{y^2}[/tex]
By applying cross-multiplication,
(y²)dy = (2x - 1)dx
By integrating both sides, we get
→ ∫(y²) dy = ∫(2x - 1) dx
[tex]\frac{y^3}{3}[/tex] = [tex]\frac{2x^2}{2}[/tex] - x + C
By multiplying "3" both sides, we get
y³ = 3x² - 3x + c
By substituting "(0,3)" in above equation,
27 = 0 - 0 + C
C = 27
By substituting value of C in the above equation,
y³ = 3x² - 3x + 27
By cubing both sides,
y = √(3x²-3x+27)
= [tex](3x^2-3x+27)^\frac{1}{3}[/tex]
Thus the above answer i.e., "Option D" is correct.
Find out more information about differentiation here:
https://brainly.com/question/25125500
A housepainter mixed 5 gal of blue paint with every 9 gal of yellow paint in order to make a green paint. Which ratio of gallons of blue paint to gallons of yellow paint will make the same shade of green paint?
Answer:
The ratio of gallons of blue paint to gallons of yellow paint that make the same shade of green paint is 5/9
Step-by-step explanation:
The ratio represents how many units are of one kind compare with another kind.
In this case , we are comparing gallons of blue paint with gallons of yellow paint. To get the green color we use 5 gallons of blue paint with every 9 gallons of yellow paint To get the ratio we divide both amounts.
this is number 19....
Answer:
b
Step-by-step explanation:
I need to solve for x this is really easy I just don't have the time to do it please help.
Answer:
2x+76°=180°[by co interior angle]
2x=180°-76°
2x=104°
x=104°/2
x=52
Hamburgers are sold in packages of 20, while buns are sold in packages of 12. What are the least numbers of packages you should buy in order to have the same number of hamburgers and buns?
Answer:
3 packages of hamburger and 5 packages of bun.
Step-by-step explanation:
3x20=60
5x12=60
HELP!!!
A punch recipe requires 2 cups of cranberry juice to make 3 gallons of punch. Using the same recipe, what is the amount of cranberry juice needed for 1 gallon of punch?
Answer: 3/4 cup
Step-by-step explanation: yeah