Answer:
The system of inequalities describes Tamara’s investment options are as follows:
[tex]8000\leq x[/tex]
[tex]3y\leq x[/tex]
Step-by-step explanation:
Total amount with Tamara = $30,000
Let [tex]x[/tex] be the amount invested in corporate bonds, and let [tex]y[/tex] be the amount invested in municipal bonds.
She wants to invest no less than $8,000 into corporate bonds.
So, the inequality is [tex]8000\leq x[/tex]
Also, she wants to invest at least three times as much into corporate bonds than into municipal bonds.
[tex]3y\leq x[/tex]
The system of inequalities describes Tamara’s investment options are as follows:
[tex]8000\leq x[/tex]
[tex]3y\leq x[/tex]
Which angles are coreesponding angles?
Answer:
PQN and MNL
Step-by-step explanation:
A corresponding angle is an angle that occupies the same relative position of another angle on a straight line. If they are parallel then they are corresponding.
Order set of numbers from least to greatest
3/4, 0.72%, 69%, .63
Answer:
Step-by-step explanation:
0.72%, .63= 63%, 69%, 3/4
Find the slopes of the linear functions.
y = -2x + 7
The slope of the line given by the linear equation is
ty
The slope of the line shown in the graph is
4
-8
4
Answer:
The slope of the line given by the linear equation is -2
The slope of the line shown in the graph is -1
Step-by-step explanation:
The line equation, y = -2x + 7 is written in the slope-intercept form, which is represented by the formula, y = mx + b.
m is the slope, while b is the y-intercept.
Therefore, the slope of the line of the linear equation, y = -2x + 7 is -2.
Find the slope of the line shown in the graph using the formula, [tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex].
Use the coordinates of any two points on the line. Let's use (0, 5) and (5, 0)
Let,
[tex] (0, 5) = (x_1, y_1) [/tex]
[tex] (5, 0) = (x_2, y_2) [/tex]
[tex] m = \frac{0 - 5}{5 - 0} = \frac{-5}{5} = -1 [/tex]
Therefore:
The slope of the line given by the linear equation is -2
The slope of the line shown in the graph is -1
Started business whit cash Rs 250000 and Machinery Rs 200000
Accounting equation
[tex]\huge\purple{Answer}[/tex]
In case there is no double entry system is followed, profit can be calculated by comparing the opening and closing capital. In the given situation this can be calculated as:
Opening Capital Rs.200000
Add: Capital Introduced Rs.200000
Add: Profit for the year Rs. 250000
Less: Loss for the year Rs.NIL
Less: Drawings Rs. 30000
--------------------
Capital at the end of the year Rs.620000
-------------------
Loan taken is a liability and loan given is asset, that will not affect the capital.
ƑƠԼԼƠƜ MЄ❤I NEED HELPPP THIS DUE TODAY!!!! IT IS URGENT!!
Answer:
I t s t o o g r o s s
5 2 4 2 1 1 3 6 1 4 4
Step-by-step explanation:
Im pretty sure that's the answer
What is the probability that a randomly chosen male voter is a registered Democrat? Round your answer to the nearest tenth of a percent.
Answer:
49%
Step-by-step explanation:
Well, you would just divide the "male democrat" category and the "male total" category and then move the decimal over 2 spaces, because you need to multiply by 100 to turn your answer into a percent, so:
[tex]\frac{600}{1222}=0.49[/tex]
Then once you multiply by 100, or move the decimal to the left 2 spaces, it becomes:
49%
Brainliest is given if the answer's correct!
A box has a volume of 6750 cubic inches, a length of 25 inches, and a height of 15 inches. What is the width of the box in inches?
Answer:
18 inches
Step-by-step explanation:
Length x width x height = volume
25in x W x 15in = 6750 cubic inches
375 sq inches x W = 6750 cubic inches
W = 18 inches
A superstar major league baseball player just signed a new deal that pays him a record amount of money. The star has driven in an average of 110 runs over the course of his career, with a standard deviation of 31 runs. An average player at his position drives in 80 runs. What is the probability the superstar bats in fewer runs than an average player next year
Answer:
0.1667
Step-by-step explanation:
Given that:
Average / mean runs (m) = 110 runs
Standard deviation (σ) = 31 runs
Number of runs driven in by an average player in his position = 80
The probability the superstar bats in fewer runs than an average player next year will be the :
P(x < 80)
Zscore = (x - mean) / σ
Zscore = (80 - 110) / 31
Zscore = - 30 / 31
Zscore = - 0.9677419
P(Z < 0.9677419) = 0.1666 ( from z probability calculator)
= 0.1667
Using the approximation 3.14 for (pie symbol , what is the radius of a circle with a circumference of 59.7
m?
2b.) What transformation of f(x) does y correspond to?
a.) a verticle translation 4 units down
b.) a verticle translation 4 units up
c.) a horizontal translation 4 units to the left
d.) a horizontal translation 4 units to the right
Answer:
The transformation is " a horizontal translation 4 units to the right " ⇒ (d)
Step-by-step explanation:
Let us revise the translation of a function
If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h) If the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h) If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k If the function f(x) translated vertically down by k units, then its image is g(x) = f(x) - kLet us look at the graph and choose some points on the f(x) and find their images on y
∵ Point (1, 2) lies on f(x)
∵ Point (5, 2) lies on y
∵ Point (3, 8) lies on f(x)
∵ Point (7, 8) lies on y
→ There is no change in the y-coordinates of the points, the change
only in the x-coordinates
∴ The translation is horizontally
∵ 5 - 1 = 4 units ⇒ positive value means to right
∴ f(x) is translated 4 units to the right
∴ The answer is " a horizontal translation 4 units to the right " (d)
The manager of the BiLo Supermarket in Mt. Pleasant, Rhode Island, gathered the following information on the number of times a customer visits the store during a month. The responses of 51 customers were: 5 3 3 1 4 4 5 6 4 2 6 6 6 7 1 1 14 1 2 4 4 4 5 6 3 5 3 4 5 6 8 4 7 6 5 9 11 3 12 4 7 6 5 15 1 1 10 8 9 2 12 a. Starting with 0 as the lower limit of the first class and using a class interval of 3, organize the data into a frequency distribution. b. Where do the data tend to cluster? 12 up to 15 15 up to 18 3 up to 6 6 up to 9 0 up to 3 9 up to 12 c. Convert the distribution to a relative frequency distribution. (Round your answers to 2 decimal places.)
Answer: kindly check explanation
Step-by-step explanation:
Given the data :
5 3 3 1 4 4 5 6 4 2 6 6 6 7 1 1 14 1 2 4 4 4 5 6 3 5 3 4 5 6 8 4 7 6 5 9 11 3 12 4 7 6 5 15 1 1 10 8 9 2 12
Frequency and relative frequency table can be found in the attachment below.
b. Where do the data tend to cluster?
3 up to 6
James paid $42 for 6 lb of chocolate how much does the chocolate cost per pound
Answer:
7$ gimme brainliest
Step-by-step explanation:
Answer: 7 pounds
Step-by-step explanation:
42/6=7
Marlina received her salary on Friday. She spent one-half of her salary on rent and then spent $338 on her electric and water bill. Next, she spent one-half of what was left on her phone bill. After spending $56.00 on gas for her car, Marlina had $102.00 left. How much did Marlin spend on rent?
Answer:
Marlina spent $654 on rent.
Step-by-step explanation:
Let the amount of money Marlina's received for her salary be x.
We know that she spent one-half of her salary on rent and then $338 on her electric and water bill. Therefore, the amount of money she has left can be so far can be represented by:
[tex]\displaystyle x-\frac{1}{2}x-338[/tex]
Next, she spent one-half of what was left on her phone bill. So, we can subtract one-half of the above expression to what we have so far.
[tex]\displaystyle x-\frac{1}{2}x-338-\frac{1}{2}\left(x-\frac{1}{2}x-338\right)[/tex]
Finally, she spent $56 for gas. Thus, we will subtract 56:
[tex]\displaystyle x-\frac{1}{2}x-338-\frac{1}{2}\left(x-\frac{1}{2}x-338\right)-56[/tex]
And we know that after all of the expenses, she will have $102 left. Therefore:
[tex]\displaystyle x-\frac{1}{2}x-338-\frac{1}{2}\left(x-\frac{1}{2}x-338\right)-56=102[/tex]
We want to know how much Marlina spent on rent. So, we can find her salary, since we know the rent is one-half of the salary. To find the salary, we will solve for x.
Distribute:
[tex]\displaystyle x-\frac{1}{2}x-338-\frac{1}{2}x+\frac{1}{4}x+169-56=102[/tex]
Rearrange:
[tex]\displaystyle \left(x-\frac{1}{2}x-\frac{1}{2}x+\frac{1}{4}x\right)+(-338+169-56)=102[/tex]
Combine like terms:
[tex]\displaystyle \frac{1}{4}x-225=102[/tex]
Add 225 to both sides:
[tex]\displaystyle \frac{1}{4}x=327[/tex]
Multiply both sides by 4:
[tex]x=\$ 1308[/tex]
Therefore, Marlina received a total of $1308 for her salary.
We know that she spent half of her salary on rent. Therefore, the amount she spent on rent is:
[tex]\displaystyle r=\frac{1}{2}(1308)=\$ 654[/tex]
Marlina spent a total of $654 on rent.
9514 1404 393
Answer:
$654
Step-by-step explanation:
Let r represent the amount of Marlina's rent. Since that is half her salary, the amount remaining after paying rent is also equal to r. The disposition of that remaining amount is ...
$338 on electric and water (E&W)
(1/2)(r -338) on phone . . . this is half of what is left after paying E&W
$56 on gas
$102 unaccounted
__
The total of these amounts is equal to r, so we have ...
r = 338 + 1/2(r -338) +56 +102
1/2r = 338 -169 +56 +102 = 327 . . . . . eliminate parentheses, subtract 1/2r
r = 2(327) = 654 . . . . . multiply by 2 to get r by itself
Marlina spends $654 on rent.
What is the ratio of 3 inches to 20 feet
Answer:
1/80
Step-by-step explanation:
Answer:
3 inches is 1/4th of one foot so to 20 ft is 1/80th
Step-by-step explanation:
Remember, 12 in.=1 FT
Hope this helps
;)
A model rocket is launched from the top of a building. The height (in meters) of the rocket above the ground is given by h( t) = -16t2 + 96t + 14, where t is the time (in seconds) since the rocket was launched. What is the rocket’s maximum height and when does this occur.
Answer:
158 meters (vertex/max point)
Step-by-step explanation:
What is the total price of 3.2 pounds of apples at 80¢ per pound?
Answer:
$2.56
Step-by-step explanation:
80x3 = 240
80x.2=16
240+12=256
$2.56
What is the answer for number 9
Answer:
y= 2/4x + 16
Step-by-step explanation:
do da math
PLZ HELP I NEED THIS ANSWER IM BEING TIMED
Answer:
The answer is -3. Hope that helped
what is the range of this function?
Answer:
13,13,10,-15
Step-by-step explanation:
write and equation to solve for x your only writing the equation will mark brainiest I've got five more questions to go if anybody can help me I give high points 3x +10 3x-28 there's 2 answers 3x+10=3x-28 or 3x+10+3x-28=180 please help 3 questions left
Answer:
3x + 10 + 3x - 28 = 180Step-by-step explanation:
the equation is 3x + 10 + 3x - 28 = 180
Mr. Jones has to invest in three types of stocks, low-risk, medium-risk, and high-risk. He invests according to three principles. The amount invested in low-risk stocks will be at most more than the amount invested in medium-risk stocks. At least will be invested in low- and medium-risk stocks. No more than will be invested in medium- and high-risk stocks. The expected yields are % for low-risk stocks, % for medium-risk stocks, and % for high-risk stocks. How much money should Mr. Jones invest in each type of stock to maximize his total expected yield?
Answer:
Since the numbers are missing, I looked for a similar question:
Mr. Jones has $9000 to invest in three types of stocks: low-risk, medium-risk and high-risk. He invests according to the following rules: the amount invested in low-risk stocks will be at most $1000 more than the amount invested in medium-risk stocks. At least $7000 will be invested in a combination of low- and medium-risk stocks. No more than $7000 will be invested in a combination of medium- and high-risk stocks. The expected annual returns are 6% for low-risk stocks, 7% for medium-risk stocks, and 8% for high-risk stocks. How much should he invest in each type of stock to maximize his total expected yield?
let:
L = low risk stocks
M = medium risk stocks
H = high risk stocks
maximize 0.06L + 0.07M + 0.08H
L + M + H ≤ 9000
L ≥ M + 1000
L + M ≥ 7000
M + H ≤ 7000
using solver, the optimal solution = 4,000L + 3,000M + 2,000H , which yields a maximum profit = $610
Mr. Jones should invest $4,000 in low risk stocks, $3,000 in medium risk stocks and $2,000 in high risk stocks.
Valeria is training for a marathon. She jogs the same 15 mile route twice in one week. On Monday, she jogged the route in 1.75 hours. Thursday, she tried to improve her speed. She jogged the same route in 1.63 hours. Her smart watch said her rate on Monday was 8.57 miles per hour. She forgot to set the smart watch to calculate her rate on Thursday. Use the information you have to calculate how fast she was running on Thursday.
Answer:
9.20 miles per hourStep-by-step explanation:
Given data
distance of the route = 15miles
time taken on Monday= 1.75hours
speed= distance./time
speed= 15/1.75
speed= 8.57 miles per hour
her smart watch is correct
time taken on Thursday= 1.63hours
speed= distance./time
speed= 15/1.63
speed= 9.20 miles per hour
she was jogging at 9.20 miles per hour
i had 6 cupcakes two days ago, and 9 yesterday. help me continue this pattern. thank you.
Answer:
its adding 3
Step-by-step explanation:
So if you had 6 cupcake two days ago, than yesterday there was 9, so tomorrow you should have 12 cupcake and so on
The requried pattern of cupcakes is given by adding 3 cupcakes each day and the pattern comes out as 6, 9, 12, 15, 18, 21, and so on for the subsequent day.
What is a sequence?The sequence is a pattern of placing the values in a specified manner.
Here,
Assuming that the pattern is to add 3 cupcakes each day, the continuation of the pattern would be:
Two days ago: 6 cupcakes
Yesterday: 9 cupcakes
Today: 12 cupcakes
Tomorrow: 15 cupcakes
Day after tomorrow: 18 cupcakes
In five days: 21 cupcakes
And so on, the pattern would continue adding 3 cupcakes for each subsequent day.
Learn more about the sequence here:
https://brainly.com/question/21961097
#SPJ2
The given quesiton is incomplete, the complete question s given below,
I had 6 cupcakes two days ago, and 9 yesterday. Assume it to be series. What will be the number of cupcakes that I will have two days from today??
I need help plzzzzzz
Answer:
...................................
Step-by-step explanation:...................................
how do i check 11z-5=9z+7
Answer:
z= 6
Step-by-step explanation:
You check it by plugging the value, z, into the equation.
11(6)-5=9(6)+7
61=61
Answer:
z=6
Step-by-step explanation:
11z-9z=7+5
2z=12
z=6
What is -0.3 x -10/13
To find the probability of any event,
A.) add up the probabilities of the outcomes that make up the event.
B.) use the probability of the outcome that best approximates the event.
C.) assign it a random, but plausible value between 0 and 1.
D.) average together the personal probabilities of several experts.
Answer:
D
Step-by-step explanation:
I just know it plz mark me Brainlyist
What does “each point of a line maps to itself” mean? I don’t understand it what it means for it to map to itself.
A box has 3 oranges and 5 lemons of the same size in a basket, find the probability of randomly picking an orange from the basket?
someone help it’s due in a couple of min
Answer: A $5800
Step-by-step explanation:
His parents cover 9100+ the scholarship for 3300=12400
