Answer: $7142.86
Step-by-step explanation:
Let the amount to be invested in the bond be represented by y.
Based on this, the amount to be invested in the CD will be: = 50000 - y.
From the information given, yearly interest on bond is 12%, this will be:
= 12% × y = 0.12 × y = 0.12y
Also, interest on CD will be:
= 5% × (50000 - y)
= 0.05(50000 - y)
Then, the equation to get the amount to be invested in bond will be:
0.12y + 0.05(50000 - y) = 3000
0.12y + 2500 - 0.05y = 3000
0.12y - 0.05y = 3000 - 2500
0.07y = 500
y = 500/0.07
y = 7142.8571
y = 7142.86
The amount to be invested in bond will be $7142.86
PLS HELP I WILL GIVE BRAINLIEST
Answer:
Part A: A. 28+5h
Part B: Yes
Find the value of z in parallelogram CDEF
Answer:
z = 13
Step-by-step explanation:
Opposite sides of a parallelogram are equal. Therefore:
3z = z + 26
Subtracf z from each side
3z - z = 26
2z = 26
z = 26/2
z = 13
Ana's manager is trying to figure out how much to charge for a chair that just arrived. If the wholesale price of the chair is $135 and Ana's store marks up all the furniture by 85%, at what price should the manager sell the chair? Round your answer to the nearest cent.
Answer:
$249.75
Step-by-step explanation:
135 x 0.85
114.75 + 135
3629 you can use the digits twice make the largest four digit number
Answer:
9632
or
9966
Step-by-step explanation:
im not 100% sure
Find the area of the trapezoid. If the answer is not an integer, leave it in simplest radical form. The figure is not to scale.
A=
Step-by-step explanation:
area of trapezium = 15× 12 + 1/2× 12× 5
= 180 + 30 = 210
plz mark my answer as brainlist plzzzz.
hope this will be helpful to you .
Help, Please, will give 20 points and brainiliest. URGENT!
Answer:
Step-by-step explanation:
b = 21 is the base, a is the height
area = 0.5ab = 210
ab = 420
a = 420/b = 420/21 = 20 ft
length of hypotenuse = √(a²+b²) = √(20²+21²) = √841 = 29 ft
please help me thank you in advance!
Answer:
First option: (x+9)^2=81
Step-by-step explanation:
It has the same solution
Geometry problem above^^^ In the figure at the right FGH ~ KLJ....
Answer:
x = 12
y = 4.5
Step-by-step explanation:
Since ∆FGH ~ ∆KLJ, therefore, we would have the following proportion:
[tex] \frac{FG}{KL} = \frac{GH}{LJ} = \frac{FH}{KJ} [/tex]
[tex] \frac{9}{y} = \frac{x}{6} = \frac{6}{3} [/tex]
✔️Let's solve for x using:
[tex] \frac{x}{6} = \frac{6}{3} [/tex]
Multiply both sides by 6
[tex] \frac{x}{6}*6 = \frac{6}{3}*6 [/tex]
[tex] x = \frac{6*6}{3} [/tex]
[tex] x = 12 [/tex]
✔️Solve for y using:
[tex] \frac{9}{y} = \frac{6}{3} [/tex]
Cross multiply
[tex] y*6 = 3*9 [/tex]
6y = 27
y = 27/6
y = 4.5
10.In an experiment , the approximate population P of a bacteria colony is given by P = 15t ^ (5/3) , where t is the number of days start of the experiment . Find the population of the colony on the 8th day .
Answer:
Step-by-step explanation:
15×8^(5/3) = 15×∛8^5 = 15×2^5 = 15×32 = 480
Population after 8 days is 480
Population after 8 days is 480.
What is exponential function?The exponential function is a mathematical function denoted by f(x)=\exp or e^{x}. Unless otherwise specified, the term generally refers to the positive-valued function of a real variable, although it can be extended to the complex numbers or generalized to other mathematical objects like matrices or Lie algebras.
here, we have,
given that,
the approximate population P of a bacteria colony is given by
P = 15t ^ (5/3)
where t is the number of days start of the experiment .
now,
the population of the colony on the 8th day is,
15×8^(5/3)
= 15×∛8^5 ]
= 15×2^5
= 15×32
= 480
hence, Population after 8 days is 480.
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help now pls bby pls
Answer:
Cities around the country are changing. Faded boards, dull concrete, and old bricks are coming to life. Communities are are turning walls of their buildings, roads, and bridges into colorful murals. Painters might show local scenes, honor a hero or celebrate a culture. Murals can also be great projects for schools. They encourage teamwork, school spirit, and creativity. What would you paint? Your mural could inspire people to recycle, be a volunteer or cheer for a team.
Step-by-step explanation:
there are commas where they are supposed to be
Answer:
yes
Step-by-step explanation:
the following are scores of students:9,7,8,9,7,5,8,10,7,8 and 10. the value of the population variance is 4. true or false?
Answer:
yesStep-by-step explanation:
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Mira has breakfast at a restaurant. She leaves a 20% tip of $1.80.
What is the price of Mira's breakfast, before tip?
Answer:
$1.44
Step-by-step explanation:
1.80x20%
Answer:
$ 1.44
Step-by-step explanation:
Multiply 1.80 and 20%
An accounting firm has recently recruited six graduates: three men and three women. Three of the graduates are to be selected at random to work in the firm’s suburban office. Construct the probability tree. What is the probability that at least two women will be selected? Round your answer to three decimal places.
Answer:
a) The probability tree is constructed below
b) the probability that at least two women will be selected is 0.500
Step-by-step explanation:
Given the data in the question;
a) The probability tree is as follows;
3 men, 3 women
↓
_______________________|________________________
↓ ↓ ↓ ↓
3 men 2 men 1 man 0 men
0 women 1 woman 2 woman 3 women
b) the probability that at least two women will be selected
p( at least two women would be selected) = P( there are 2 women out of 3 ) + P( there 3 women out of 3
so
p( at least two women would be selected) = C
³C₂ × ³C₁ / ⁶C₃ + ³C₃³C₀ / ⁶C₃
= 3!/(2!(3-2)!) × 3!/(1!(3-1)!) / 6!/(3!(6-3)!) + 3!/(3!(3-3)!) × 3!/(0!(3-0)!) / 6!/3!(6-3)!)
= 3 × 3 / 20 + 1 × 1 / 20
= 9/20 + 1/20
= 0.45 + 0.05
p( at least two women would be selected) = 0.500
Therefore, the probability that at least two women will be selected is 0.500
write down the 3 integers, all the less than 25, whose range is 10 and
mean is 13
The three integers are
Complete the last row for a different batch size that hasn’t been used so far in the table. Explain or show your reasoning.
differentiate between Charles babbage's and Alan turing's computer designs
which is the circumference of the circle
Answer:
The answer is D, 47.1.
Step-by-step explanation:
Circumference is the diameter multiplied by pi, 15 * 3.14 is 47.1, so your current choice is correct.
emeril is building a cutting board for his home kitchen.He wants it to be similar in size to the cutting board at gis restaurant.His restaurant cutting board is 36 inches wide by 21 inches long .He has enough space on his home counter for a board that is 24 inches wide.How long will his home cutting board be?
Answer:
14 inches
Step-by-step explanation:
I say 14 inches because width for the board at the restaurant is 36 (3×12) and the length is (3×7) so if the width for the board at home is 24 ( 2×12) then the length must be 14 ( 2×7). See what I did?
His home cutting board will be 14 inches long.
Since Emeril is building a cutting board for his home kitchen, and he wants it to be similar in size to the cutting board at gis restaurant, which is 36 inches wide by 21 inches long, and he has enough space on his home counter for a board that is 24 inches wide, to determine how long will his home cutting board be the following cross multiplication calculation must be performed:
36 = 24 21 = X (21 x 24) / 36 = X 14 = X
Therefore, his home cutting board will be 14 inches long.
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Please help I’m begging someone p,ease help I can’t do this anymore help
Answer:
-5.99
-3
-6
-5.9
-1
-5.999
-5
2
Step-by-step explanation:
All these numbers are greater (or equal to) -6 because they are closer to 0
5/7 times 1/8 ANSWER IN UNDER 2 MINUTS AND ILL MAKE YOU BRAINLIEST
Answer:5/56 or a decimal form of 0.08928571
Step-by-step explanation:
Answer:
0.08928571428571428571428571428571
Step-by-step explanation:
I hope this helps!
How many solutions does the system of linear equations have?
y = 4x - 7
y = x – 3
Choose 1 answer:
Exactly one solution
No solutions
Infinitely many solutions
Answer:
X = 4/3 Exactly one solution
Step-by-step explanation:
x-3 = 4x-7
x = 4x-4
-3x = -4
x = 4/3
39 is what percent of 82
Answer:
47.5%
Step-by-step explanation:
39/82 = .475 = 47.5%
Answer:
39 is 47.56% of 82
Step-by-step explanation:
82 is 100% since it is our output value.
divide 39 by 82 to get the answer in decimal form:
39 / 82 = 0.4756
Then multiplied the answer from the first step by one hundred to get the answer as a percentage
0.4756 * 100 = 47.56%
HELP Which of the following is NOT a property of a magnet, exerts magnetic force, has magnetic poles, some magnets have two north poles, has a magnetic field
Answer:
Some magnets have two north poles
Two points are located on a graph, Point A is (-1, 10), and Point B is (4,3). What is the
distance between Point A and Point B?
A) 8.6
B)13.3
C) 10
D)3
Answer:
10
Step-by-step explanation:
HURRY WILL MARK AS BRAINLIEST IF CORRECT
Answer:
The nuber of cells double
Step-by-step explanation:
The cyroplasmic or cytokinesis is the divison of cells at the end of mitosis bringing the seperation to become 2 daughter cells.
A number line going from 1 to 13. 1 dot is above 1. 3 dots are above 2. 1 dot is above 3. 3 dots are above 4. 1 dot is above 5. 0 dots are above the remaining numbers. If a new data point at 12 is added to the graph, which will be true? The mean will increase, and the median will stay the same. The median will increase, and the mean will stay the same. The mean will increase more than the median, but both will increase. The median will increase more than the mean, but both will increase.
Answer:
Answer: C) The mean will increase more than the median, but both will increase.
Step-by-step explanation:
I got it right on the test review.
Answer:
just took the test the answer is C)
Step-by-step explanation:
A random sample of 250 juniors majoring in psychology or communication at a large university is selected. These students are asked whether or not they are happy with their majors. Assume that none of these 250 students is majoring in both areas. There are a total of 100 majoring in psychology and only 80 of those majoring in psychology are happy while 35 students majoring in communication are unhappy.
If one student is selected at random from this group, find the probability that this student is:________
i. happy with the choice of major
ii. a psychology major
iii. a communication major given that the student is happy with the choice of major
iv. unhappy with the choice of major given that
Solution :
It is given that :
Number of students in a random sample majoring in communication or psychology at an university = 250
Total number of students majoring in psychology = 100
Number of students majoring in psychology those who are happy = 80
So number of students majoring in psychology those who are not happy = 20
Total number of students majoring in communication = 250 - 100 = 150
Number of students majoring in communication those who are happy = 115
So number of students majoring in psychology those who are not happy = 35
a). Probability of the students happy with their major choices are
[tex]$=\frac{80+115}{250}$[/tex]
= 0.78
b). Psychology major [tex]$=\frac{80+20}{250}$[/tex]
= 0.4
c). Probability of the students who are happy with the communication as the choice of major = [tex]$\frac{115}{250}$[/tex] = 0.46
d). Students unhappy with their choice of major given that the student is psychology major = [tex]$\frac{20}{250}$[/tex] = 0.018
a) Probability of the students happy with their major choices is 0.78.
b) Probability of Psychology major is 0.4
c) Probability of the students who are happy with the communication as the choice of major is 0.46.
d) Students unhappy with their choice of major given that the student is psychology major is 0.018
Given:
Number of students in a random sample majoring in communication or psychology at an university = 250
Total number of students majoring in psychology = 100
Number of students majoring in psychology those who are happy = 80
So, number of students majoring in psychology those who are not happy = 20
Total number of students majoring in communication = 250 - 100 = 150
Number of students majoring in communication those who are happy = 115
So, number of students majoring in psychology those who are not happy = 35
a). Probability of the students happy with their major choices are
[tex]=\frac{80+115}{250} =0.78[/tex]
b). Psychology major
[tex]\frac{80+20}{250} =0.4[/tex]
c). Probability of the students who are happy with the communication as the choice of major =[tex]\frac{115}{250} =0.46[/tex]
d). Students unhappy with their choice of major given that the student is psychology major =[tex]\frac{20}{250} =0.018[/tex]
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hitunglah luas permukaan balok dengan ukuran sebagai berikut
a. 8 cm × 4 cm × 2cm
B. 8 cm × 3 cm × 4 cm
jawaban
a. = 112 cm²b. = 136 cm²penjelasan langkah demi langkah( step by step explanation )
Total Luas Permukaan = 2 (Panjang x Lebar + Lebar x Tinggi + Panjang x Tinggi)
a.Luas Permukaan = 2( 8×4 + 4×2 + 2×8 )
= 2 ( 32 + 8 + 16 )
= 2 × 56
= 112 cm²b.Luas Permukaan = 2( 8×3 + 3×4 + 4×8 )
= 2 ( 24 + 12 + 32 )
= 2 × 68
= 136 cm²
help me
Give the approximate measurement of the following objects by using the appropriate
measuring tool:
1) Length of the blackboard
2) Weight of a pineapple
3) Weight of 5 notebooks
4) Length of the door
5) Volume of used mineral water
Answer:
Step-by-step explanation:
I used SI system for units
1)meter
2)kilogram
3)kilogram
4)meter
5)Litre
In a video game, Clare scored 50% more points than Tyler. If Tyler scored 60 points on the video game, how many
points did Clare score?
60
70
80
90
100
Which one
Answer:
90
Step-by-step explanation:
She scored 50% more so scored 1.5x tyler
1.5 * 60 = 90
Answer:
90
Step-by-step explanation:
so for this, all we have to do is add %50 of the first score to the second one, first lets find out what %50 of that score is
%50 of 60 = 30 (because %50 is half of something)
next, we add that new amount to the first score
60 + 30 = 90
so 90 is %50 more then 60, or 90 is %150 of 60
