Answer:
A= $52,190.93
Step-by-step explanation:
A = $ 52,190.93
A = P + I where
P (principal) = $ 40,000.00
I (interest) = $ 12,190.93
Calculation Steps:
First, convert R percent to r a decimal
r = R/100
r = 3%/100
r = 0.03 per year,
Then, solve our equation for A
A = P(1 + r/n)nt
A = 40,000.00(1 + 0.03/1)(1)(9)
A = $ 52,190.93
Summary:
The total amount accrued, principal plus interest,
from compound interest on an original principal of
$ 40,000.00 at a rate of 3% per year
compounded 1 times per year
over 9 years is $ 52,190.93.
g(x)=w^2+7w-7 and f(x)=4w-8 and (f+g)(5)=
The value of (f + g)(5) is 65
FunctionFunction relates input to output . Therefore,
g(x) = w² + 7w - 7
f(x) = 4w - 8
Therefore,
(f + g) = w² + 7w - 7 + (4w - 8)
(f + g) = w² + 7w - 7 + 4w - 8
(f + g) = w² + 11w - 15
Finally,
(f + g)(5) = 5² + 11(5) - 15
(f + g)(5) = 25 + 55 - 15
(f + g)(5) = 80 - 15
(f + g)(5) = 65
learn more on functions here: https://brainly.com/question/20624584?referrer=searchResults
. Suppose that 10 students of a class of 50 undergraduates are chosen for a behavioral experiment. The total class consists of 15 freshmen, 18 sophomores, 10 juniors, and 7 seniors. If all students are equally likely to be picked, determine the probability of the group contains exactly seven seniors and three juniors.
Answer:
Approximately 0% probability of the group contains exactly seven seniors and three juniors.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question, the order in which the students are chosen is not important, which means that we use the combinations formula to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Desired outcomes:
7 seniors, from a set of 7.
3 juniors, from a set of 10. So
[tex]D = C_{7,7} \times C_{10,3} = \frac{7!}{7!(7-7)!} \times \frac{10!}{3!(10-3)&} = 1 \times 120 = 120[/tex]
Total outcomes:
10 students froms a set of 50. so
[tex]T = C_{50,10} = \frac{50!}{10!(50-10)!} = 10272278170[/tex]
Probability:
[tex]p = \frac{D}{T} = \frac{120}{10272278170} \approx 0[/tex]
Approximately 0% probability of the group contains exactly seven seniors and three juniors.
In a landscape plan, a rectangular flower bed is designed to be 4 meters longer than it is wide. If 60 square meters are needed for the plants in the bed, what should the dimensions of the rectangular bed be?
Write the equation and your solution.
Answer:
i dk and stop callin me slime
Step-by-step explanation:
Dimension of rectangular bed is
length = 10 meters and width = 6 meters
Equation is [tex]w^2+4w-60=0[/tex]
Given :
a rectangular flower bed is designed to be 4 meters longer than it is wide
60 square meters are needed for the plants in the bed.
Let 'w' be the width of the flower bed
and 'L' be the length of the flower bed
Length is 4 meters longer than its width
Length L= w+4
We know that the area of rectangle = length times width
[tex]Area = L \cdot W\\A=(w+4)(w)\\A=w^2+4w[/tex]
Given that the area is 60 square meters
Replace A by 60 and solve for 'w'
[tex]60=w^2+4w\\w^2+4w-60=0\\(w+10)(w-6)=0\\w+10=0, w=-10\\w-6=0, w=6[/tex]
Width cannot be negative, so width = 6 meters
length = width +4 = 6+4=10 meters
Dimension of rectangular bed is
length = 10 meters and width = 6 meters
Learn more: brainly.com/question/19579804
10) Jacolby can score 30 goals in 6 minutes. Khamari can score 42 goals in 7 minutes. How many more goals can Khamari make per minute? a) 3 goals b) 2 goals c) 1 goal d) 4 goals
Answer:
c)1 goal
Step-by-step explanation:
Since Jacolby can make 30 goals in 6 minutes, that makes (30/6) 5 goals per minute. Khamari can make 42 goals in 7 minutes, that makes (42/7) 6 goals per minute. So Jalcolby is 5 and Khamari is 6, and the question is asking how many MORE. 6-5 is 1, so Khamari can make 1 more goal per minute than Jacolby.
Hope this helps.
A bag of flour weighs 5 pounds. The flour is priced per ounce. How many ounces of flour are in the bag?
1 pound = 16 ounces
Answer:
80 Ounces!
80 ounces is equivalent to 5 pounds of flour.
wore
Jackie buys 5kg of flour.
She is making pizzas that each need 300g
of flour.
What is the maximum number of pizzas
that Jackie can make?
How much flour will Jackie have left?
Can you give me the answer
How is your mental health?
Answer:
bad
Step-by-step explanation:
cause of school so yea my mental health
Answer:
It is bad at some points but on certain days it is okay.
Step-by-step explanation:
With school mainly, but I tend to manage. And I know that this isn't a school question but do you think you could give Brainliest.
What is the relation of the slopes of perpendicular lines or segments?
A) congruent
B) both positive
C)opposite reciprocals
D)both negative
Answer:
C
Step-by-step explanation:
In elementary geometry, the property of being perpendicular (perpendicularity) is the relationship between two lines which meet at a right angle (90 degrees). The property extends to other related geometric objects.
Answer: D both negative
Step-by-step explanation:
PLEASE HELPPPPP ME IN BEGGING YOU
Answer:
im going to say its B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
All you gotta do is take each angle and subtract it from 180. Jus learned dis in geometry.
180-133= 47
180-108=72
180-119=61
PLEASE HELP I WILL MARK BRAINLIST IF YOU ANSWER CORRECTLY OR IF YOU JUST TRY BUT IF YOU ANSWER FOR THE POINTS IM REPORTING btw I CAN tell and help on both if you can
Answer:
the first answer is 104 square units
I forgot how to answer the surface area for the second prism sorry.
Step-by-step explanation:
(05.06)Use a net to find the surface area of the right triangular prism shown below:
Three rectangles next to each other with a width of 8 feet. The first and second rectangles length are unknown, and the last is 13 feet long. There are two right triangles above and below the last rectangle. One is labeled with a base of 5 feet and a height of 12 feet.
88 square feet
232 square feet
283 square feet
300 square feet
Answer: The answer is 300
Step-by-step explanation: The triangle formula = ( B · H) ÷ 2
B = 5 H = 12 5 · 12 = 60 ÷ 2 = 30
Since there is two triangles you will have two 30's.
The rectangle farthest to the right = 13 · 8 = 104
If you unfold the triangle it will line up perfectly with the 3 rectangles, so...
The middle rectangle = 5 · 8 = 40
The rectangle farthest to the right = 12×8 = 96
Add them all up
30 + 30 + 104 + 40 + 96 = 300
Hope this helped!
Answer:
300
Step-by-step explanation:
When 2/3 tons of coal cost $13.50, what will in ton cost?
Answer:
20.25
Step-by-step explanation:
Divide 13.50 by 2 and then multiply by 3.
PLS HELP WILL GIVE BRAINLIEST AND 50 POINTS IF YOU GIVE FAKE ANSWER I WILL REPORT YOU!
The graph shows the relationship between the number of months different students practiced tennis and the number of matches they won:
The title of the graph is Tennis Matches. On the x-axis, the label is Number of Months of Practice. On the y-axis, the label is Number of Matches Won. The scale on the y axis is from 0 to 22 at increments of 2, and the scale on the x-axis is from 0 to 12 at increments of 2. The points plotted on the graph are the ordered pairs 0, 2 and 1, 5 and 2, 8 and 3, 9 and 4, 10 and 5, 12 and 6, 13 and 7, 16 and 8,17 and 9, 18 and 10,20. A straight line is drawn joining the ordered pairs 0, 3.3 and 2, 6.8 and 4, 10 and 6, 13.5 and 8, 17 and 10, 20.5.
Part A: What is the approximate y-intercept of the line of best fit and what does it represent? (5 points)
Part B: Write the equation for the line of best fit in the slope-intercept form and use it to predict the number of matches that could be won after 13 months of practice Show your work and include the points used to calculate the slope. (5 points)
First we have to understand that a Y-intercept of a line is the point where a line’s graph intersects or crosses the Y-axis. In this case we will need to look at the graph in order to find the Y-intercept. Looking at the graph I would say that the Y-intercept is (0,3.5).
For part B you can use the following:
y = m x + b
y = (7/4) * 13 + 3
26 Is your answer
Goodluck
:):
what information is necessary to prove the triangles congruent by ASA? by AAS ? show your work please.
Answer:
See Explanation
Step-by-step explanation:
For ASA
[tex] \angle R \cong \angle E[/tex]
[tex] RQ \cong EF[/tex]
[tex] \angle Q \cong \angle F[/tex]
[tex] \triangle PRQ \cong \triangle GEF[/tex]
For AAS
[tex] \angle P \cong \angle G[/tex]
[tex] \angle R \cong \angle E[/tex]
[tex] RQ \cong EF[/tex]
[tex] \triangle PRQ \cong \triangle GEF[/tex]
10.3
Problem Solving
33/5 as a whole number
Answer:
6 and 3/5
Step-by-step explanation:
find the vertical asympotes y= 3/ x+5
Answer:
the vertical asymptotes is x= -5
A bank account earns a fixed rate of interest compounded quarterly (every 3 month)
Answer:
Here’s what I got.
Hope it helps.
Maribel wants to skate 12 miles on Monday. If she skates io mile Monday morning and į of that distance Monday afternoon, will she reach her goal? Explain.
Answer & Step-by-step explanation:
Yes, Maribel will reach her goal. If you convert each fraction with a denominator of 6 then add it up, it will be 1 7/6 which is equal to 2 1/6.
I hope this helps ;)
Find the value of x in this triangle
Answer:
No you find it jkSum=1802x+2x+x=1805x=180x=36 Two bottom angle are similar 2(36)= 72 The last angle is 36Mrs. Childress has 12 packs of pencils and 8 packs
of cap erasers. What is the FEWEST amount of each
she will need to buy in order to have an equal
number packs of both pencils and cap erasers?
Answer:
4 packs of erasers and 0 packs of pencils
Step-by-step explanation:
To minimize what she needs to buy to end up with the same number of packs of pencils and erasers, she needs to make the number of each to be equal. So the total number of packs should be 12. She all ready has 12 pencil packs and would only need to buy 4 eraser packs
(-1 1/2) * 2/3 =
pls i need help!!
Answer: -1
Step-by-step explanation:
[tex]\bigg (-1\dfrac{1}{2} \bigg) \cdot \dfrac{2}{3} =-\dfrac{3}{2} \cdot \dfrac{2}{3} =-1[/tex]
Please help will mark brainlist .
7. Use substitution. What is the solution
to the system of equations? Explain.
This is the question and equation please helpppppp
4. 2000 tickets were sold to a car show on Saturday. The cost of a ticket for an adult is $4 and the
cost for a child is $2. The total amount of money collected was $6400. Find the number of adult
tickets and child tickets sold.
I NEED HELP FAST Zane is determining whether the given value of the variable is a solution of the equation.
13 + h = 21 for h = 9
What steps should Zane take? Check all that apply.
Substitute 9 for the variable h.
Substitute 21 for the variable h.
Simplify by adding 13 and 21.
Simplify by adding 13 and 9.
21 = 21, so 9 is a solution to the equation.
There are two ways to verify whether the value of ( h ) assumed to be equal to 9 satisfies the given equation:
13 + h = 21
13 - 13 + h = 21 - 13
0 + h = 8
h = 8
8 ≠ 9
13 + ( 9 ) = 21
22 = 21
22 ≠ 21
3) Conclude: The given value of ( h ) is not a solution of the given equation.
6/5 of ______ is 30
Please help
It is 36.
180/5 = 36
5/5 = 1
When we put that together, we can see that our complete answer is:
36/1
The complete and simplified answer to the question what is 6/5 of 30 is:
36.
How do I do this? Please only the best help.
Answer:
77.5 degrees and 102.5 degrees
Step-by-step explanation:
Given that : one angle is25 degrees greater than another. Let the two angles be represented by a and b. Since one angle is 25 degreess greater than another, then:
b = a + 25 degrees
But;
a + b = 180 degrees (sum of angles on a straight line)
a + a + 25 degrees = 180 degrees
2a = 180 degrees - 25 degrees
a = 77.5 degrees
b = 77.5 degrees + 25 degrees = 102.5 degrees
Therefore the measures of all angles formed by the lines is either 77.5 degrees or 102.5 degrees.
Divide j by 9 and the multiply the quotient by 2
Answer:
Step-by-step explanation:
you will need to do:
j/9*2=2j/9
The line across which a figure is flipped is called the line of transformation.
True
False
Answer:
True
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
how do u write an equation in slope intercept form to describe a graph
Answer:
y= mx+b BRAINLIEST PLEASE
Step-by-step explanation: