Tamara has $30,000, part or all of which she wants to invest into a combination of corporate bonds and municipal bonds. She wants to invest no less than $8,000 into corporate bonds, and at least three times as much into corporate bonds than into municipal bonds. Let x be the amount invested in corporate bonds, and let y be the amount invested in municipal bonds. Which system of inequalities describes Tamara’s investment options?
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]
Multiple Choice
Evaluate.
1. -59 - 6 for g=-2 (1 point)
A.4
B.16
C.10
D.-13
Gabi has 7 bags of apples with x apples each. a. Write an expression to represent the total number of apples.
Answer:
7x
Step-by-step explanation:
By switching service providers , a family's telephone bill decreased from about $ 50 a month to about 44 . What was the percent decrease ?
Answer:
12% decrease
Step-by-step explanation:
50 - 44 = 6
6/50 = 0.12 or 12% decrease
find the value of each missing variable? y=
Answer:
The symbol stands for an unknown number, the symbol y stands for an unknown number and the symbol 2 stands for a known number, two. In algebra when two symbols that stand for a number are placed beside each other the operation between them is taken to be multiplication.
Step-by-step explanation:
Help Me Please. ? And Thank You
Answer:
20
Step-by-step explanation:
how, because 3 is 12, 4 is 16 because multiply by 4
A sports arena is in the shape of a rectangle. The arena has a length of (x − 3) feet and a width of (2x + 4) feet. Which of the following represents the area of the arena?
Answer:
2x² - 2x - 12
(x-3)(2x + 4)
expand brackets:
2x² + 4x - 6x - 12
then simplify:
2x² - 2x - 12
hope this helps
brainliest please?
x
Answer:
2x² - 2x - 12 Step-by-step explanation:
What proportion of these motors will last somewhere between 8 and 11 years
Answer: What Proportion Of These Motors Will Last Somewhere Between 8 And 11 Years? 2. What's The Probability That A Randomly Selected Motor Will Last More
the number of standard deviations a value is from the mean ... Suppose X ~ N(8, 1). ... Find the probability that a CD player will last between 2.8 and six years. a. ... A child who weighs 11 kg is one standard deviation above the mean of 10.2 kg. b. ... There is about a 68% chance that the number of heads will be somewhere.
Solve the equation for x
Answer:
There is no answer for x
Step-by-step explanation:
-3/5 divided by -1 1/10
Answer:
o.54545454545
Step-by-step explanation:
On calculater showed this answer
Which is the standard form equation?
9514 1404 393
Answer:
d 4x +y = 17
Step-by-step explanation:
The only equation satisfied by the given point is also in standard form:
4x +y = 17
__
Trying the given point in the different equations, we have ...
a) 4x -y = 4(5) -(-3) = 23
b) 4x +y = 4(5) +(-3) = 17
c) -4x +y = -4(5) +(-3) = -23
d) 4x +y = 4(5) +(-3) = 17 . . . . equation D matches the point
Solving for y, we have ...
y = -4x +17 . . . . a slope of -4 . . . . equation D matches the slope
Describe two different ways to use transformations to change f(x) = x into g(x)=-3x-12
Answer:
See below
Step-by-step explanation:
GivenFunction f(x) = xTransformation ways1. Reflection by a factor of (-3) and vertical shift down -12 units
f(x) = x → (-3) ⇒ h(x) = -3x → (-12) ⇒ g(x) = -3x - 122. Vertical shift up by 4 units and reflection by a factor of (-3)
f(x) = x → (+4) ⇒ h(x) = x + 4 → (-3) ⇒ g(x) = -3x - 12Which students plant exactly 6inches tall at week 4
Answer:
we need options and stuff
Step-by-step explanation:
other wise cant help sorry
You can tell if there a proportional relationship just by looking at an equation true or false
Answer:
True.
Step-by-step explanation:
Look at the ratio of y to x. To see if its a proportional relationship, just put a 0 for x and then proceed to solve for y.
please hurry i need this fast
Answer:
option 4
Step-by-step explanation:
the first movement is a translation and then it is reflected over the y axis
Answer:
A
Step-by-step explanation:
Can anybody tell the answer of -12xy+4xy
Step By Step because I am really confused.
Make a list of professionals who routinely apply geometry in their work. Start by reading about these careers that use geometry
Answer:
Architect
Surveyor
Mechanical Engineer
Drafter
Step-by-step explanation:
Architects utilize geometric principles while designing layouts for their ongoing projects, which can include buildings, electrical systems, and plumbing architecture.
Surveyors use geometry to take exact measurements of boundaries for different types of property.
Mechanical engineers, some of the most diversified engineers, use a multitude of geometric concepts to design mechanical devices, or update existing structures
Drafters use the same geometric knowledge and applications as architects and engineers, drafters create design plans with the use of computer-aided design (CAD) software.
Answer:
architects
civil engineers
designers who use computer-aided design
astronomers
air traffic controllers
interior designers
jewelry designers
painters
photographers
sculptors
landscape designers
carpenters
plumbers
Step-by-step explanation:
plato/edmentum
5(x-6)+3x=.75(2x-8)
solve.
Answer:
Step-by-step explanation:
5(x-6)+3x=.75(2x-8)
5x - 30 + 3x = 1.5x - 6
6.5x = 24
x = 3.7
What is −5/6÷9/10? DO YOU LIKE CHEESE?
−27/25
−4/3
−25/27
−3/4
Answer:
− 25 /27
Step-by-step explanation:
Answer:
-25/27
Step-by-step explanation:
get fraction calculator plus very helpful on Android and Apple
5 (x+2) +2x URGENT ANSWER FAST PLEASE!!
Answer:
7x+10
Step-by-step explanation:
use distributive property on 5(x+2)
your expression is now 5x+10+2x
Combine like terms so now your answer is 7x+10
Hope this helps
what's 2 + 1 ? this thing is making me type 20 words
Answer:
3
Step-by-step explanation:
Answer:
I'm pretty sure the answer is 3
Step-by-step explanation:
I typed it into my calculator and it came back as 3 so...
-2.30 as a fraction....
Answer:
Step-by-step explanation:
3 5/7
Answer: 23/10 or 2 3/10
Step-by-step explanation:
I used a calculator
Is the answer True or false
Answer:
true
Step-by-step explanation:
true
Which pair of angles shares ray a f as a common side?
Answer:
it's the last one.
Step-by-step explanation:
both of them have ÀF as part of their angle.
Answer:
Step-by-step explanation:
it would the the second one
how to simplify -2n + 11 + 6n
Answer:
4n+11
Step-by-step explanation:
-2n+6n=4n
Hope this helps! :)
Answer:
4n+11
Step-by-step explanation:
Move the variables together
-2n+6n+11
4n+11
whats 5 divided by 10??????? sim
Answer:
0.5
Step-by-step explanation:
It is well-known that in Hanover in the Spring, it is either sunny or rainy every day, and the probability that the weather one day is the same as the weather the previous day is 2/3. Suppose it was sunny on May 1st and May 10th. What is the probability that it was sunny on May 3rd
Answer:
0.44
Step-by-step explanation:
May 1st was a sunny day. May 10th was a sunny day. The date closest to May 3rd is May 1st so analysis can start from there.
The probability that the weather one day is same as the weather on the previous day = 2/3
In this light, the probability that May 2nd was a sunny day is 2/3 (since May 1st was sunny).
The probability that it was sunny on May 3rd is 2/3 of 2/3 = 2/3 × 2/3 = 4/9 = 0.44
Are the following lines parallel, Perpendicular OR neither
A. 4x - 2y = -12
B. 3x + 6y = 24
Answer:
Neither I am sure because if to the equation the answer is same
4. A class read 3,452 pages the first week and 4,090 more pages in the second week than in the first week. How many pages had they read by the end of the second week?
Answer: 638
Step-by-step explanation:
4090 - 3452 = 638
Hope this helps!
The number of bacteria in a refrigerated food product is given by N(T)
4
29T2 - 115T + 52,
When the food is removed from the refrigerator, the temperature is given by T(t) = 6t + 1.5, where t is
the time in hours.
Find the composite function N(T(t)):
N(Tt))
Find the time when the bacteria count reaches 500.
Time Needed =
hours
Answer:
Step-by-step explanation:
Given
N(t) = 29t²-115t+52
T(t) = 6t+1.5
To get the composite function N(T(t)), we will follow the steps
N(T(t)) = N(6t+1.5)
To get N(6t+1.5), we will replace t in N(t) with 6t+1.5 as shown:
N(6t+1.5) = 29(6t+1.5)²-115(6t+1.5)+52
N(6t+1.5) = 29(36t²+18t+2.25)-690t-172.5+52
N(6t+1.5) = 1044t²+522t+65.25-690t-172.5+52
N(6t+1.5) = 1044t²+522t-690t+65.25-172.5+52
N(6t+1.5) = 1044t²-168t-55.35
Hence;
N(T(t)) = 1044t²-168t-55.35
To determine the time when the bacteria count reaches 500, we will equate the expression to 500 and find t
500 = 1044t²-168t-55.35
1044t²-168t-55.35-500= 0
1044t²-168t-555.35 = 0
Factorize
t =140±√1630115/1740
t = 0.81
Hence the time reached when the bacteria was 500 hours is 0.81hours