Answer:
0.0625/year or 6.25%/year
Step-by-step explanation:
Simple interest formula:
I = Prt where I = interest (final) amount, P = principal (initial) amount, r = interest rate, t = time (years)We are given these values:
I = $500 P = $4000 t = 2 yearsWe want to find r, the simple interest rate.
Substitute these known values into the formula.
I = Prt 500 = (4000) × r × (2) 500 = 8000r 0.0625 = rThe simple interest rate is 0.0625, aka 6.25% per year.
Choose the expression that best represents the product of the width and the height
I need help with this problem
Answer:
m<S: 54
m<U: 60
Step-by-step explanation:
x + 4 + x + 68 = 180
2x + 72 = 180
2x = 108
x = 54
<S:
x
54
<U:
x + 4
54 + 4
60
PLease answer this for me !!
Answer:
X^7
Step-by-step explanation:
3+4=7
if you answer this correctly, i’ll give you brainliest!
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find the value of x to make the following expression true:
6x = 216
Answer:
Original equation: 6x=216
Divide by 6: x=36
Let me know if this helps!
Answer:
If 216 = 6x then x = 216/6
216/6 = 36
x = 36
Step-by-step explanation:
Taco Bell had 60 orders. 60% were tacos and 40% were burritos. How many tacos is that?
Answer:
60% of 60 is 36. The answer should be 36
Step-by-step explanation:
60 / 100 * 60
0.6 * 60
36
Just divide the number by 100 and multiply it by the percentage.
Mark me as brainliest if you want to.
Which of the following is true about the mass of an object? (10 points)
It is equal to its weight.
It is proportional to its weight.
It is always more than its weight.
It changes at different locations.
Step-by-step explanation:
The correct answer is
It is proportional to its weight.
Hope it will help :)❤
Step-by-step explanation:
mass is proportional to the weight of the object
w = mg
Pls help (5th grade)
Answer: 4.523
Here is an image that might help you understand placements.
Answer:
rounded to the nearest thousandth would be 4.523
A college student takes the same number of credits each semester. Before beginning college, the student had some credits
earned while in high school. After 2 semesters, the student had 34 credits, and after 4 semesters, the student had 58
credits.
Answer:
The student gets 12 credits per semester, and started college with 10 credits that he earned in high school.
Step-by-step explanation:
Given that a college student takes the same number of credits each semester, and that before beginning college, the student had some credits earned while in high school, while after 2 semesters, the student had 34 credits, and after 4 semesters, the student had 58
credits, to determine how many credits she obtains each semester and how many credits she had at the beginning of college, the following calculation must be performed:
(58 - 34) / 2 = X
24/2 = X
12 = X
34 - 12 x 2 = X
34 - 24 = X
10 = X
Thus, the student gets 12 credits per semester, and started college with 10 credits that he earned in high school.
Answer:
C(t) = 12t + 10
Step-by-step explanation:
We're given two data points, (2,34) and (4,58). We want to find an equation of the form C(t)=mt+b where m is the rate of change and b is the y-intercept.
First, we find the rate of change.
m=(58−34)/(4−2)
m=24/2
m=12
This rate of change means that the student earns 12 credits each semester.
Finally, we need to solve the equation C(t)=12t+b for b, or the y-intercept. We do this by plugging in one of our data points. We'll use (2,34).
C(t)=12t+b
34=12(2)+b
b=34−24
b=10
This y-intercept means that the student earned 10 credits in high school.
Now that we've found m and b based on the given data, we find that the equation is C(t)=12t+10.
Emily can walk 3/4 of a mile in 1/4 of an hour.
At this same rate, how long does it take Emily to walk 1 mile?
Answer:
20 minutes
Step-by-step explanation:
Method 1:
(0.75)/(0.25)=(1)/(x)
0.75*1.333333=1, so multiply 0.25 by 1.333333 to find the value of x!
0.25*1.333333=0.33333, or one-third of an hour, or 20 minutes.
Method 2:
(0.75)/(0.25)=(1)/(x)
Cross-multiply
0.75x=0.25
(0.25)/(0.75)=x
x=0.33333 hours
Emily will use 20 minutes or 1/3 hour to walk 1 mile.
Note that 3/4 = 0.75
1/4 hour = 1/4 × 60 = 15 minutes
Let the amount of time that it takes Emily to walk 1 mile be represented by x.
Therefore, the equation to solve the question will be:
0.75 /1 = 15/x
Cross multiply
(0.75 × x) = (1 × 15)
0.75x = 15
x = 15/0.75
x = 20
Therefore, Emily will use 20 minutes or 1/3 hour to walk 1 mile.
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cashews cost $1.74 per pound. walnuts cost $1.92 per pound. how much will 3 1/3 pounds of cashews and 2 5/8 pounds of walnuts cost in all?
Answer:
6.09+3.84=9.93 is the desired answer
Step-by-step explanation:
Cashews total cost step by step
1.74×3.5
Multiply 1.74 and 3.5 to get 6.09.
6.09
Peanuts total cost step by step
1.92×2
Multiply 1.92 and 2 to get 3.84.
3.84
PLS ANSWER QUICKLY AND PLS ANSWER CORRECTLY TEST WORTH 20 PERCENT OF MY GRADE
Answer:
b just tool the test
Step-by-step explanation:
Which expression is equivalent to 3y+4+y
How do you solve the following equation
: X/-3 + 2=4
Answer:
For this equation you be inverse operation giving you the answer -6
further information down below :)
Step-by-step explanation:
Your goal for this is to isolate the variable which is x.
First, find the operation opposite of addition which is subtraction
When you add that operation to both sides with the constant(2)
2 and 2 cancel each other out, but to the for the term(4) 4-2=2
after that you have your new term which is x/-3=2
You do the same thing but to in division because the opposite of multiplication is division in this case you multiply -3 to both sides -3*-3 cancel each other out, now you have-3*2= negative times a positive equal negative in anyway so, overall you get -6.
To check:
you do the full equation now that you have isolated the variable, you now can do the operations normally which are. -6/-3=2 because when you divide a negative by a negative you get a positive end out with 2+2=4 which is correct and match the sum.
This means that our answer is correct :)
whoever gets this correct first gets brainlest !!!
Answer:
9.9
Step-by-step explanation:
The quadrilaterals are similar by a factor of 3.
Ben randomly selects five students from his class, and collects data on the number of hours of sleep they got the previous night. From these data, he computes a 95% confidence interval as 6.42 + 2. What may he conclude from this interval?
Answer:
can you help me to How do wetlands form?
Tributaries flow into rivers.
Runoff travels down the side of a divide.
Water builds up in a depression left by an ice sheet.
Groundwater comes to the surface and floods the land.
Step-by-step explanation:
a) List the differences between Linear and Exponential Functions.
Answer:
What is the difference between linear and exponential functions? Linear functions change at a constant rate per unit interval. An exponential function changes by a common ratio over equal intervals.
Each peanut butter snack costs $2. Each chocolate snack costs $3. How much does it cost to buy 6 peanut butter snacks and 8 chocolate snacks? Write an equation.
Answer:
36
Step-by-step explanation:
8x3 is 24
6x2 is 12
when you add those together you get 36
Answer:
2 dollars x 6 Peanut butter snacks= 12 total
3 dollars x 8 chocolate= 24 total
24+12= 36 for the total all together
Step-by-step explanation:
You are buying 6 peanut butter snacks and they are $2 each so you multiply those numbers together for the total of Peanut butter snacks. You are also buying 8 things of chocolate and they are $3 each multiply them together you get the total for the chocolate. if you need the total for all together you add the totals together and you have your over all answer.
Find the median of 6,2,0,1,1,2,3,2,0,2,3,4,2,3,5
Answer:
2
Step-by-step explanation:
The median is the middle number when the numbers are lined up from least to greatest or greatest to least.
First, the numbers must be lined up from least to greatest.
0, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 4, 5, 6
Then, find the middle number.
The middle number is 2.
Find the solutions of the quadratic equation –9x2 + 49 = 0.
Answer:
x=49/18
Step-by-step explanation:
26 is 65% of what number?
Answer:
40
Step-by-step explanation:
26 is 65% of 40
In a study of incentives used by companies to retain mature workers by The Conference Board, it was reported that 41% use flexible work arrangements. Suppose that of those companies that do not use flexible work arrangements, 30% give time off for volunteerism. In addition, suppose that of those companies that use flexible work arrangements, 50% give time off for volunteerism. If a company is randomly selected, determine the following probabilities:
a. The company uses flexible work arrangements or gives time off for volunteerism.
b. The company uses flexible work arrangements and does not give time off for volunteerism.
c. Given that the company does not give time off for volunteerism, the company uses flexible work arrangements.
d. The company does not use flexible work arrangements given that the company does give time off for volunteerism.
e. The company does not use flexible work arrangements or the company does not give time off for volunteerism.
Answer:
a) 0.587 = 58.7% probability that the company uses flexible work arrangements or gives time off for volunteerism.
b) 0.205 = 20.5% probability that the company uses flexible work arrangements and does not give time off for volunteerism.
c) 0.3317 = 33.17% probability that the company uses flexible work arrangements.
d) 0.4634 = 46.34% probability that the company does not use flexible work arrangements given that the company does give time off for volunteerism.
e) 0.795 = 79.5% probability that the company does not use flexible work arrangements or the company does not give time off for volunteerism.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
a. The company uses flexible work arrangements or gives time off for volunteerism.
41% use flexible work arrangements.
Of the 100-41 = 59% that do not use flexible work arrangments, 30% give time off for volunteerism. So
[tex]p = 0.41 + 0.59*0.3 = 0.587[/tex]
0.587 = 58.7% probability that the company uses flexible work arrangements or gives time off for volunteerism.
b. The company uses flexible work arrangements and does not give time off for volunteerism.
41% use flexible work arrangements. Of those, 100 - 50 = 50% do not give time off for volunteerism. So
[tex]p = 0.41*0.5 = 0.205[/tex]
0.205 = 20.5% probability that the company uses flexible work arrangements and does not give time off for volunteerism.
c. Given that the company does not give time off for volunteerism, the company uses flexible work arrangements.
Here, we use conditional probability.
Event A: Does not give time off for volunteerism
Event B: Uses flexible work arrangments.
0.205 = 20.5% probability that the company uses flexible work arrangements and does not give time off for volunteerism.
This means that [tex]P(A \cap B) = 0.205[/tex]
Probability that the company does not give time off for volunteerism:
0.205(uses flexible work arrangments).
100 - 30 = 70% of 59%. So
[tex]P(A) = 0.205 + 0.7*0.59 = 0.618[/tex]
The desired probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.205}{0.618} = 0.3317[/tex]
0.3317 = 33.17% probability that the company uses flexible work arrangements.
d. The company does not use flexible work arrangements given that the company does give time off for volunteerism.
Again conditional probability.
Event A: Gives time off for volunteerism
Event B: Does not use flexible work arrangements.
Probability of giving time off for volunteerism:
50% of 41%(have flexible work arrangements).
30% of 59%(don't have flexible work arrangements).
So
[tex]P(A) = 0.5*0.41 + 0.3*0.59 = 0.382[/tex]
Gives time off for volunteerism and does not use flexible work arrangements.
30% of 59%. So
[tex]P(A \cap B) = 0.3*0.59 = 0.177[/tex]
The desired probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.177}{0.382} = 0.4634[/tex]
0.4634 = 46.34% probability that the company does not use flexible work arrangements given that the company does give time off for volunteerism.
e. The company does not use flexible work arrangements or the company does not give time off for volunteerism.
Does not use flexible work arrangments: 59%
Dont give time off for volunteerism(70% already in the 59%, so we dont add) and 50% of 41%.
[tex]p = 0.59 + 0.5*0.41 = 0.795[/tex]
0.795 = 79.5% probability that the company does not use flexible work arrangements or the company does not give time off for volunteerism.
Find the values of x and y. Write your answer in simplest form.
Answer:
x=30°
y=30°
Step-by-step explanation:
x= 180-150=30°
y)
180=30 + 90 + z
z +120 = 180
z= 60
90-60=y
y=30
30°
The formula of triangles
Answer:
area of triangle = 1/2 ×base×height
use the distributive property to write the following expressions in expanded form 8(a+3b)
Answer:
8a + 24b
Step-by-step explanation:
'distributive' is just like sharing across
Answer:
8a + 20b + 4b
Step-by-step explanation:
Distributing it would be 8a+24b so expanding it would equal: 8a+20b+4b
help me please. need it asap
Answer:
X=-1
Y=-8
hope this helps!
Step-by-step explanation:
The factors of 16-y² are
Answer:
(4 + y)(4 - y)
Step-by-step explanation:
[tex]16 - {y}^{2} \\ \\ = {4}^{2} - {y}^{2} \\ \\ = (4 + y)(4 - y)[/tex]
Amelia receives two dozens roses for her birthday. 18 of the roses are pink what percent of the roses are pink
18/24 = pink roses... 75% of the roses are pink.
In AMNO, m = 720 cm, n = 160 cm and o=870 cm. Find the measure of 20 to the
nearest degree.
The measure of angle O from the triangle MNO is 156.92°.
What is cosine rule?In trigonometry, the law of cosines relates the lengths of the sides of a triangle to the cosine of one of its angles.
The formula for the cosine rule is c=√(a²+b²-2ab cosC)
Given that, in triangle MNO, m = 720 cm, n = 160 cm and o=870 cm.
Now, 870=√(720²+160²-2×720×160 cosO)
870²=720²+160²-2×720×160 cosO
756900=544000-230400 cosO
212900=-230400 cosO
cosO= -212900/230400
cosO= -0.92
∠O=156.92°
Therefore, the measure of angle O from the triangle MNO is 156.92°.
Learn more about the cosine rule here:
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#SPJ1
Answer:
158
Step-by-step explanation:
An equation is shown below: 4(x − 3) − 5(x + 1) = 3 Which statement shows a correct next step in solving the equation? (1 point) The equation can become 4x − 12 − 5x − 5 = 3 by applying the associative property of multiplication. The equation can become 4x − 3 − 5x + 1 = 3 by applying the associative property of multiplication. The equation can become 4x − 3 − 5x + 1 = 3 by applying the distributive property. The equation can become 4x − 12 − 5x − 5 = 3 by applying the distributive property.
Answer:
The equation can become 4x − 12 − 5x − 5 = 3 by applying the distributive property.
I NEED HELP NOW PLZZ!!
Answer:
option C is the correct option!!