Answer:
She should invest 150,000 in government bonds and 50,000 in investment grade bonds
Step-by-step explanation:
Let the amount invested in government bonds be $y while the amount invested in investment bond be $x
Since total is $200,000
Then:
x + y = 200,000 ••••••(i)
Since 13,000 is what is expected to be earned, then this is like the interest.
thus;
6% of x + 8% of y = 13,000
6x/100 + 8y/100 = 13,000
Multiply through by 100
6x + 8y = 1300000 •••••••(ii)
From i, x = 200,000 - y
insert this into ii
6(200,000-y) + 8y = 1300000
1200000-6y + 8y = 1300000
2y = 1300000-1200000
2y = 100,000
y = 100,000/2
y = 50,000
but x + y = 200,000
thus, x = 200,000 - 50,000
x = 150,000
The table below shows it's time to make a prototype cars to travel to different distances what is a constant rate of change in the situation in miles per hour
0.92
The table below shows it's time to make a prototype cars to travel to different distances what is a constant rate of change in the situation in miles per hour
find the difference between the actual values of the two sixes in the number 6036
what would an equation be for 6 bags of flyers each bag containing 12 flyers
Answer:
6x12
Step-by-step explanation:
Answer:
6 multiplied by 12
Step-by-step explanation:
you have 6 bags, each bag contains 12 flyers
If m<3 =60, find the m<8
Answer:
30
Step-by-step explanation:
The sluggers go out for pizza after a game. Seven large pizzas plus two medium pizzas together have 100 slices. Five large pizzas plus six medium pizzas have 108 slices. How many slices are in each size?
Answer:
Large pizzas= 12 Medium= 8
Step-by-step explanation:
if you 12 by 5 and 8 by 6 and add them together you get 108
Please help within the next hour
Answer:
it's x= 1±sqrt(47)
Step-by-step explanation:
Which of the following gives the area, A, of a circle with a diameter of 6
10 POINTS Solve for y: 5y + 2y -4y = 30
Answer:
10
Step-by-step explanation:
5y + 2y -4y = 30
To solve first combine like terms
5y+2y-4y=3y
Then isolate your variable, do this by dividing both sides by 3.
3y=30
3y/3=30/3
Finally, simplify
y=10
A whale can stay under water for 5,399 seconds. The Guinness world record holder held his breath under water for 1,443 seconds. How much longer can the whale remain under water than the human? *
Answer:I got 3956 seconds, hope it helps.
Step-by-step explanation:
What slope perpendicular to: m=5/8
Answer:
[tex] - \frac{8}{5} [/tex]
Is 2 - 91 positive or negative?
Answer:
Negitive
Step-by-step explanation:
2-91= -89
Answer:
negative
Step-by-step explanation:
There are 120 people at a party 1/3 of the peopl leave the party. Work out the number of people still at the party
Answer:
40
Step-by-step explanation:
how i did it probably isn't normal but first i did 1/3 of 100 and that's 33.33
then i did 1/3 of 20 and that's 6.66 then you just add them together
33.33+6.66 and that's 39.99
then just round up
Reflect: You found that ( 3 + 4 x ) + ( 2 - x ) = 5 + 3x
Suppose x=i (the imaginary unit)
What equation do you get?
Answer must include words/explanations
(guys please help!!)
Answer:
We start with the equation:
(3 + 4x) + (2 -x) = 5 + 3x
Now we replace:
x = i
This is just changing all the "x"s in the equation by "i"s:
(3 + 4i) + (2 - i) = 5 + 3i
This can be viewed as 3 complex numbers:
z1 = 3 + 4i
z2 = 2 - i
z3 = 5 + 3i.
Now, let's check if equality remains true:
(3 + 4i) + (2 - i) = 5 + 3i
The first step is to use the associative and commutative properties to separate the real and imaginary parts.
(3 + 2) + (4i - i)
5 + (4 - 1)*i
5 + 3i
Then the equality remains true.
And this will be true always, for anything that we feed into the x in our initial equation:
(3 + 4x) + (2 -x) = 5 + 3x
This is because x is a variable, so it can be evaluated in any number, and the equality will still be true.
Determine whether the graph is the graph of a function. (5 points)
Answer: It is not a function
Step-by-step explanation: It does not pass the vertical line test
what are the x and y intercepts of the line 3x-4y=192
Answer:
x intercept (64,0)
y intercept (0,-48)
Step-by-step explanation:
I need some help on geometry
Answer:
Angles 1 and 3 are 151 degrees and angle 2 is 29 degrees
Step-by-step explanation:
2 and 4 are opposites so they will be the same measurement and 1 and 3 are easy to find. Just subtract 29 from 180.
The soccer team is
conducting a fundraiser selling long-sleeved T-shirts for $14 and short-sleeved T-shirts for $10.
So far the team has sold less than $200 worth of the two types of T-shirts. Which inequality best represents x, the
number of long-sleeved T-shirts they have sold, and y, the number of short-sleeved T-shirts they have sold?
O x + y < 200
O x + y > 200
O 14x + 10y > 200
O 14x + 10y < 200
Answer
it’s c
Step-by-step explanation:
you fool I have been trained in your Jedi arts by count dooku
I got a hundo on the test
Inequalities help us to compare two unequal expressions. The inequality that best the T-shirts they have sold is 14x+10y<200.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.
It is mostly denoted by the symbol <, >, ≤, and ≥.
Given the cost of long-sleeved T-shirts is $14, while the short-sleeved T-shirts cost $10. Also, it is given the number of long-sleeved T-shirts is represented by x, while the number of short-sleeved T-shirts is represented by y. Therefore,
14x + 10y
Since the sales done is less than $200, therefore, the inequality that best the T-shirts they have sold is,
14x + 10y < 200
Hence, the inequality that best the T-shirts they have sold is 14x+10y<200.
Learn more about Inequality:
https://brainly.com/question/19491153
#SPJ5
7.
6. Mr. Phuong stayed in a hotel room for 2
nights that cost $210. The hotel room tax
rate in the city is 12%. What is the total cost
for the hotel room? (Example 2)
Answer:
The total cost of the hotel room is $235.20
Step-by-step explanation:
Here, we want to find the total cost of the hotel room
Total cost of hotel room = Cost of hotel room for the two nights + tax
Tax = 12%
Total cost = 210 + 12% of 210
Total cost = 210 + (12/100 * 210)
Total cost = 210 + 25.2
Total cost = $235.2
Solve: x3 = 27
A) X = 3
B) X= 3 and x = -3
C) X = 9
D) X = 9 and x = -9
Answer:
C
Step-by-step explanation:
27/3=9
Just do cube root of 27.
x has to equal 3 because -3 cubed is -27, 9 cubed is 729, and -9 cubed is -729.
X = 3, The answer is choice A.
Please help!! I chose an answer but I’m not sure! DUE IN 3 MINS
Answer:
Its c
Step-by-step explanation:
Because the f(x)= 0 is on the x line
and -2, 1, or 3 only
PLEASE HELP AND SHOW HOW YOU GOT THE ANSWER PLEASEEE
Step-by-step explanation:
Hey there!
The points are; A(-2,3) and B(X,-5). And the distance between them is (√80) units.
We have;
[tex]d = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } [/tex]
Keep all values.
[tex] \sqrt{80} = \sqrt{ {(x + 2)}^{2} + {( - 5 - 3)}^{2} } [/tex]
Squaring on both sides.
[tex] { (\sqrt{80}) }^{2} = ( { \sqrt{( {x + 2)}^{2} + ( { - 8)}^{2} } )}^{2} [/tex]
Simplify them.
[tex]80 = ( {x + 2)}^{2} + 64[/tex]
[tex]( {x + 2)}^{2} = 80 - 64[/tex]
[tex]( {x + 2)}^{2} = 16[/tex]
[tex]( {x + 2)}^{2} = {4}^{2} [/tex]
Cancel square from both sides.
[tex]x + 2 = 4[/tex]
X= 4-2
Therefore, X= 2.
The x-coordinate of B is 2.
Hope it helps....
(80)2=((x+2)2+(−8)2)2
Simplify them.
80 = ( {x + 2)}^{2} + 64
80=(x+2)2+64
( {x + 2)}^{2} = 80 - 64
(x+2)2=80−64
( {x + 2)}^{2} = 16(x+2)2=16
( {x + 2)}^{2} = {4}^{2}
(x+2)2=4^2
Cancel square from both sides.
x + 2 = 4
X= 4-2
Therefore, X= 2.
The x-coordinate of B is 2.
Find the measure of the exterior angle.
Answer:
108°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
2a is an exterior angle, thus
2a = a + 10 + 44 = a + 54 ( subtract a from both sides )
a = 54
Thus 2a = 2 × 54 = 108° ← exterior angle
help me find the value of x
complete the square for x^2+5x
Answer:
(x + [tex]\frac{5}{2}[/tex] )² - [tex]\frac{25}{4}[/tex]
Step-by-step explanation:
Given
x² + 5x
To complete the square
add/ subtract ( half the coefficient of the x- term )² to x² + 5x
= x² + 2([tex]\frac{5}{2}[/tex] )x + [tex]\frac{25}{4}[/tex] - [tex]\frac{25}{4}[/tex]
= (x + [tex]\frac{5}{2}[/tex] )² - [tex]\frac{25}{4}[/tex]
Which equation. Represents a line that is parralel to y = -2x-5
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Two parallel lines have the same slopes thus ;
The line which we want should in form like this :
y = - 2 x + h
(( h )) can be any positive and any negative number.
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Which statement is equivalent to the inequality 1/2x+3<2x-6?
Please help me fast
x > 6
Step-by-step explanation:Hi there !
1/2 x + ²⁾3 < ²⁾2x - ²⁾6
x + 6 < 4x - 12
6 + 12 < 4x - x
18 < 3x
3x > 18
x > 18/3
x > 6
Good luck !
Naomi and Claire are painting a mural. Naomi paints 2 square feet per hour and has already painted 16.5 square feet.
Claire paints 4 square feet per hour and has already painted 7.5 square feet.
How many more hours will it take for Naomi and Claire to paint an equal total number of square feet?
Answer:
4 hours
Step-by-step explanation:
16.5+x2
7.5+x4
16.5+2=17.5+2=19.5+2=21.5+2=23.5
7.5+4=11.5+4=15.5+4=19.5+4=23.5
for each ordered pair, determine whether it is a solution to 7x+3y=2
the ordered pairs:
0, -8
-1, 3
2, -4
5, 2
Answer:
Step-by-step explanation: i thimk 5,2
Jada is putting a border around her rectangular garden. The garden is 12.63 meters long and 3.28 wide. Jada estimates the perimeter of her garden by rounding the length and width to the nearest whole number. What equation shows her estimate?
Answer: 12.63 rounded to 13 and 3.28 rounded to 3 the perimeter is 32
Step-by-step explanation: If you need any more help Im
usually available between 9a.m - 3:50 pm
Answer
Part A: C
Part B: B
Part C: 15.91
Step-by-step explanation:
first round the 2 numbers by the tenths. Then round the numbers by ones(whohle number). After that, since ther are four sides we do 12.63 + 3.28 + 12.63 + 3.28 which equals to 15.91.
A girl scout troop hiked 5.8 kilometers southeast in 1.5 hours. What was
the troop's velocity?
O 3.9 km/h southeast
о
4.9 km/h southeast
5.8 km/h southeast
O 7.2 km/h southeast
Answer:
the answer is 3.9 km/h southeast