$20,000 was invested in a 3-year simple interest money market account. After 3 years,
the account balance was $32,000.
What was the interest rate for the account?
Step-by-step explanation:
Amount = principal + S. I.
S. I. = p * t * r / 100
32000 = 20000 + 20000 * 3 * r / 100
12000 = 600 r
r ( Rate of interest) = 20 %
help please i’ll thank you
So first, we must figure out how many dollars = pesos
1 United States Dollar equals
22.38 Mexican Peso
With this, we convert the Dollars from the math problem, to the pesos in the math problem, which is done for us. So we have to figure out how much pesos equal a dollar.
510 Mexican Peso equals
22.80 United States Dollar
Find the midpoint between -3π and π
The midpoint is -1π.
Answer:
The midpoint is -1π.
Step-by-step explanation:
Determine whether the lines are parallel, perpendicular or neither.
b
Line 1:2y−3x=0
Line 2:y+6x=−3
Answer:
Neither
Step-by-step explanation:
Although the lines intersect it is not at a 90° angle meaning it's neither perpendicular or parallel.
Abigail drove 84 miles in 4 hours. If she continued at the same rate, how far would she travel in 14 hours?
Answer:
210 miles
Step-by-step explanation:
84 divided by 4 equals 21
21 times 10 equals 210
Answer:
205 miles
Step-by-step explanation:
If the 14 hours is including the hours Abigail has already driven, then she would travel 121 miles for the six hours, for a combined total of 205 miles.
2. Select all ratios that are equivalent to 3:18.
21:126
6:36
1:6
1:18
15
21
One of the most spectacular and least known hummingbirds is the Marvelous Spatuletail, Loddigesia mirabilis, found in only in a single remote valley in northern Peru (see photo below). In this valley the mean density is 3 spatuletails per 100-hectare quadrat. (a) What is the probability a random quadrat contains less than 3 spatuletails
Answer:
P(x < 3) = 0.42319
Step-by-step explanation:
From the given information:
The mean density [tex]\lambda =[/tex] 3
Let x be the random variable that follows a Poisson distribution.
Therefore:
[tex]\mathtt{P(x) = \dfrac{e^{-\lambda} \lambda ^x}{x!}}[/tex] for x =1, 2, 3...
However, the probability that a random quadrat contains less than 3 spatuletails can be computed as:
[tex]\mathtt{P(x <3 ) = \dfrac{e^{-3}3 ^0}{0!}+ \dfrac{e^{-3}3 ^1}{1!}+ \dfrac{e^{-3} 3 ^2}{2!} }[/tex]
[tex]\mathtt{P(x <3 ) =e^{-3} \begin{pmatrix} \dfrac{3 ^0}{0!}+ \dfrac{3 ^1}{1!}+ \dfrac{3 ^2}{2!} \end {pmatrix} }[/tex]
[tex]\mathtt{P(x <3 ) =e^{-3} \begin{pmatrix} \dfrac{1}{1}+ \dfrac{3 }{1}+ \dfrac{9}{2} \end {pmatrix} }[/tex]
[tex]\mathtt{P(x <3 ) =e^{-3} \begin{pmatrix} 1+3+ 4.5 \end {pmatrix} }[/tex]
[tex]\mathtt{P(x <3 ) =e^{-3} \begin{pmatrix}8.5 \end {pmatrix} }[/tex]
P(x < 3) = 0.42319
Multiply. 1/4 x 2/5 Express your answer in simplest form. 1/3 1/10 2/9 3/20
Answer: 1/10
Step-by-step explanation:
1/10 which means that 2/9 Was the wrong answer
If m•DBC = 74° and m•ABC = 119°, find m•ABD.
Answer:
193 degrees
Step-by-step explanation:
you add 74 degrees + 119 degrees and that equals up to 193 degrees
Barbara's Catering Company makes the best fruit salad despite using only four ingredients. They use four apples for every mango, two pears for every apples, and one pineapple for every mango. If they use 8 pineapple in their most recent batch, how many recent batch l, how many total pieces of fruit did they use?
Answer:
2
Step-by-step explanation:
compare these numbers
Answer:
[tex]-3.97621,\ -2.5,\ 2\frac{1}{4},\ \sqrt{11},\ 3.\overline{6}[/tex]
Step-by-step explanation:
√11 is about 3.32.
Smallest-to-largest, the numbers are ...
[tex]-3.97621,\ -2.5,\ 2\frac{1}{4},\ \sqrt{11},\ 3.\overline{6}[/tex]
A hose fills a hot tub at a rate of 3.01 gallons per minute. How many hours will it take to fill a 334 gallon hot tub?
Answer: I dont have the full answer, but this is what i could figure out.
Step-by-step explanation:
3.01 gallon per minute
60 minutes in an hour
3.01 times 60= 180.6
180.6 times 1.85= 334.11
I do not know what to do after this, I wish I could help more, but I hope someone or yourself can figure out the rest. Good luck!
What are the quadrants of the standard (x, y) coordinate plane below that contain points on the graph of the equation 4x - 2y = 8 ?
Answer:
Step-by-step explanation:
4x-2y=8
divide by 8
[tex]\frac{x}{2}+\frac{y}{-4}=1\\x~intercept=2\\y~intercept=-4\\also ~2y=4x-8\\y=2x-4\\slope=2\\[/tex]
so graph lies in third and fourth and first quadrants.
The graph lies in third and fourth and first quadrants.
What is graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter. Each object in a graph is called a node.
Given:
4x - 2y = 8
Now, make the equation in standard form
4x/8 - 2y/8 = 8/8
x/2- y/4 = 1
Now,
y- intercept is -4
and x- intercept is 2.
Also, we can write 4x - 2y = 8 as
y= 2x-4 and slope= 2
Hence, graph lies in third and fourth and first quadrants.
Learn more about graph here:
https://brainly.com/question/10712002
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( 5 - 2i)2 Write answer in standard form a +bi. Remember you can not have i2 in your answer it is a number.
(5 - 2i)^2
Simplify.
25 - 20i + 4i^2
Remember that i^2 = -1.
25 - 20i - 4
Combine like terms
21 - 20i
5445,568
Step-by-step explanation:
evaluate each expression. (1/3)^4
Answer:
1/81
Step-by-step explanation:
[tex] \huge \bigg( \frac{1}{3} \bigg)^{4} = \frac{1}{ {3}^{4} } = \frac{1}{81} \\ [/tex]
12x+12=13x−12 how many sultions
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Peter leaves Mitchell's house traveling 30 mph. Mitchell leaves 15 min later, trying to catch up to peter, going 40 mph. if they drive along the same route, how long will it take Mitchell to catch Peter?
Answer:
45 minutes
Step-by-step explanation:
At 30 mph for 1/4 hour, Peter has a 7.5 mile head start. After he leaves, Mitchell closes that gap at the rate of 40-30 = 10 miles per hour. It will take him ...
t = d/s
t = (7.5 mi)/(10 mi/h) = 0.75 h
to catch Peter.
Mitchell will catch Peter in 45 minutes.
__
Alternate Solution
Another way to look at it is that Mitchell's 10 mph advantage is 1/3 of Peter's speed, so it will take 1/(1/3) = 3 times the period of Peter's head start:
3 × 15 minutes = 45 minutes . . . for Mitchell to catch Peter
_____
You can write equations involving time and distance and see where the distances traveled become the same. You need to be careful choosing the time reference, since you're concerned with Mitchell's travel time. I personally prefer to work "head start" problems by considering the differences in time and speed, as above. This is where you end up using the equations approach, anyway.
Help asap neeed help
Which one of these shapes is not like the other and why?
A and B is not, because if you were to make the A bigger it'll be the same as B, so I think is C
Find the absolute value of negative 18.
Answer:
Step-by-step explanation:
I - 18I = 18
I - xI = x
Answer:
positive 18
Step-by-step explanation:
The absolute value of any number is just how far that number is from 0 on a number line
here are a few examples
|-23| = 23
|47| = 47
|-11| = 11
As you can see, in all 3 examples all numbers are positive.
To make it easier to understand, the absolute value of any numer is that number, but positive. Absolute values will always be positive no matter what.
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You are 8 inches below the balance point height. write an integer that represents your height.
Answer: -8
Step-by-step explanation:
Your below so the integer will be negative.
Estimate the difference.
858.9 - 172
Use rounding to estimate the difference.
Answer:
can u answer my question plz
Step-by-step explanation: A kitchen wall tile is shaped like a parallelogram. The base of the tile is two times the height of the tile. The height of the tile is 2 in. The length of the other side of the tile is 3 in. What is the area of the tile?
what is the solution to -2(8x-4) 2x+5?
Answer:
that would be -2200 sorry if im wrong
Step-by-step explanation:
asap Algebra 2 hon explanation would be greatly appreciated.
Answer:
option A
Step-by-step explanation:
f(3)=3*27-2*9-12-1
=81-18-12-1
=81-31
=50
HOPE IT HELPS
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If a multiple choice test consists of questions, each of which with of which only 1 is correct, (a) in how many different ways can a student check off one answer to each question? (b) in how many ways can a student check off one answer to each question and get all the answers wrong? (a) The test can be answered in 25 ways.
Answer:
Step-by-step explanation:
From the given information.
suppose a multiple choice test consists of 5 questions, each with 4 possible answers of which 1 is correct.:
So, we can now suggest that a person can answer each question in 4 different ways given that there are 5 different questions.
Thus, the students can check off one answer to each question in [tex]4^5 \ different \ ways[/tex]
= 4 × 34 × 4 × 4 × 4
= 1024 different ways.
From the 4 possible answers, since 1 will be correct, definitely 3 other answers will be incorrect.
Thus, the number of ways a student can check off one answer to each question and get all the answers wrong is = 3⁵
= 3 × 3 × 3 × 3 × 3
= 243 ways
Aaron is a high school graduate working as a retail clerk. He earns a median salary for a high school graduate. Aaron is thinking about going to college to get an associate's degree. If he completes his degree in 2 years and college costs total $30,000, how long will it take Aaron to recover his investment, assuming that he earns the median salary and continues to work full time while he is attending school? A graph titled Median Annual Household Income by Educational Attainment of Householder, 1997. Professional degree, 92,228 dollars; doctorate degree, 87,232 dollars; master's degree, 68,115 dollars; Bachelor's degree or more, 63,292 dollars; Bachelor's degree, 59,048 dollars; associate degree, 45,258 dollars; some college, no degree, 40,015 dollars; high school graduate, 33,779 dollars; ninth to twelfth grade, 19,851 dollars; than twelfth grade, 15,541 dollars. a. about 2.5 years b. about 5.5 years c. about 8.5 years d. about 11.5 years
Answer:
i would say c
Step-by-step explanation:
find the area of the shape below
Ms. Albero decided to make juice to serve along with the pizza at the Student Government party. The directions said to mix 2 scoops of powdered drink mix with a half gallon of juice. One of Ms. Albero's students said show will mix 8 scoops with 2 gallons of water to make 4 pitchers. How can you use the concept of proportional relationships to decide whether the student is correct? *
Answer:
Yes, the student is correct.
Step-by-step explanation:
2*4=8 scoops
1/2*4=2 gallons
Since they were multiplied by the same number, the student is correct. It's like making it 4 times, but all at once.
I hope this was helpful!
The reciprocal of 2 4/7 is? a. 7/18 b. 1/2 c. 18/7 d.7/8
[tex]\text{Hello! :)}[/tex]
[tex]\large\boxed{A. 7 / 18}[/tex]
[tex]\text{Convert 2 4/7 into an improper fraction:}\\\\2*7 + 4 = 18 \\\\\text{(To find the numerator of the fraction)}\\\\\text{Fraction in improper form: 18/7}\\\\\text{Reciprocal of fraction: Swap numerator and denominator:}\\\\18/7 \text{ becomes } 7 / 18[/tex]
Determine the measure of each angle. Then describe each angle as acute, right, obtuse, or straight.