A retiree has $200,000 to invest and needs to make $13,000 with her investments. If she can invest in government bonds at 6% or investment-grade bonds at 8%, how much should she invest in each?

Answers

Answer 1

Answer:

$50,000 at 8%; $150,000 at 6%

Step-by-step explanation:

$50,000 x .08 = $4000

$150,000 x .06 = $9000

$4000 + $9000 = $13,000


Related Questions


What is the equation of the line in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer:

y = 5x -1

............

help a friend out?

Solve and graph the absolute value inequality: 12x +41 > 8.​

Answers

Answer:

Answer is C

The inequality is x

<−6 or x>2

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

       | 2x + 4 |  > 8        

         Case I                                 Case II

       2x + 4 > 8                            -(2x +4) > 8

            -4      -4                           -2x - 4 >  8

        2x      > 4                                   +4    +4    

           x   > 4/2                           -2x  > 12

            x > 2                               -x > 12/2

                                                   -x > 6    

                                                    x <  - 6  Multiply by -1 will change the inequality sign.  

       x >  2  and x< - 6

       x > 2    open circle at 2 and shade to the right.

       x < -6    open circle at -6 and shade to the left

I don't understand this question can someone help me with this please, please explain!! and thank you for the help!! If u dont know try your best :D

Answers

Answer:

3.5 hours

Step-by-step explanation:

You are trying to isolate X (get X by it self) to do that you need to divided both sides of the equation by 60 resulting in X=3.5

Divide both sides by 60 to isolate x

x=3.5 hours

Hope this helps you! :)

[tex]GraceRosalia[/tex]

Can some one pls help me

Answers

Answer:

look at the picture i have sent

Given g(x)=-x+3g(x)=−x+3, find g(1)

Answers

Answer:

g(1) = 2

Step-by-step explanation:

g(x)=−x+3

g(1)=

Let x = 1

g(1) = -1+3 = 2

[tex]\sf 15=2m-9[/tex]

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Value of m is equal to :

[tex]12[/tex]

[tex] \large \boxed{ \mathfrak{Explanation}}[/tex]

➢ 15 = 2m - 9

➢ 15 + 9 = 2m

➢ 2m = 24

➢ m = 24 ÷ 2

➢ m = 12

[tex] \mathfrak{hope \: \: it \: \: helps\;\; Rainbow ~ \: \: }[/tex]

The answer is 12 have a good day

Someone help me with this I will make you brain

Answers

Step-by-step explanation:

let's look at the full numbers under the square roots when bringing the external factors back in :

sqrt(9×9×2) - sqrt(3×3×7) + sqrt(8) - sqrt(28)

and let's present these numbers as the product of their basic prime factors

sqrt(3×3×3×3×2) - sqrt(3×3×7) + sqrt(2×2×2) - sqrt(2×2×7)

now we see that we have 2 pairs of square roots : 1 pair ends with a factor of 2, and one pair with a factor of 7.

let's combine these

sqrt (3×3×3×3×2) + sqrt(2×2×2) - sqrt(3×3×7) - sqrt (2×2×7)

and now we move the factors of 2 and 7 back out in front (of course, we need to apply the square root on these factors) :

9×sqrt(2) + 2×sqrt(2) - 3×sqrt(7) - 2×sqrt(7) =

= (9+2)×sqrt(2) - (3+2)×sqrt(7) = 11×sqrt(2) - 5×sqrt(7)

and that is the first answer option.

H
13. Stretch Your Thinking Jenny and George combined their
allowances to buy the same present for each of their four
teachers. Jenny had $13.75. George had $2.26 less than
Jenny. How much did one present cost?

Answers

Answer: One present cost 6 dollars and 31 cents.

Step-by-step explanation:

Ok so first you subtract 2.26 from 13.75 to find out the total that George has.

That would be 11.49.

Next you add them together because they combine allowances.

So thats 25.24.

Next you divide this by 4 because they are buying the same present for their four teachers, therefore all will be the same price.

This would be 6.31

You leave the decimals because your talking about money.

Hopefully this helps. Have a wonderful day. :)

Marking me brainly really helps if you found my answer helpful!

A 5-pound bag of dog food costs $11.25. What is the unit price of the dog food in dollars per pound?

Answers

Answer:

$2.25

Step-by-step explanation:

5 lbs = $11.25

The unit price in this context means the price of a 1-pound bag of dog food so you would divide $11.25 by 5:

$11.25 ÷ 5 = $2.25

Hope this helps!

Answer:

2.25 ($) per pound

Step-by-step explanation:                                                                               11.25 /  5 = 2.25 per pound   Alternative workings we simply divide by 10  to find   11.25 / 10  = 1.125 then multiply by 2                                                      1.125 * 2  = 2.25 ($) per pound

1. Sara has 8 cents. Zach has double
plus 2 of what Sara has.
How much money does Zach have?

Answers

0.8(2) = 1.6
1.6 + .2 = 1.8

I wish it would specify more on if it’s cents or dollars, but the answer should be 1.8 if you did it this way
18 cents
8x2=16+2=18
But do check with your own study as well

A television that costs $500 is marked up by 250%. What is the new price of the television?

Answers

answer:
625$

explanation: first you need to find what 250% of 500$ is. which to find that out , you take 500 times 0.250 which gives you 125. then you just add 125+500 and get 625$

hope this helps:)

Answer:

Its $1,750

Explanation: I got it right

A hardware store is having a clearance sale where everything is 61% off. If the regular price of a saw is $287,
approximately how much will be taken off the regular price?

Answers

Answer:

$175.07 will be taken off

Step-by-step explanation:

287x61/100

17507/100

175.07

guys pls help me!!!!!!

Answers

Answer: 100

Step-by-step explanation:

A line equals 180 so subtract 180-80 to get your answer.

10+10= hhihihhhiihihihih

Answers

Answer:

10+10=1010

Step-by-step explanation:

brainliest?

Answer:

20 lol

And hi!

Please help me solve this ASAP please!

Answers

(x + 9)/2 = 3x

 

Multiply both sides by 2 since the left is divided by 2.

 

x + 9 = 6x

     9 = 5x

      x = 9/5 or 1 4/5

Enrollment at a golf academy has grown exponentially since the academy opened. Below is a graph depicting this growth. Determine the average rate of change from x = 0 to x = 4.

A) 0.067
B) 4
C) 15
D) 75

Answers

Answer: 15

Step-by-step explanation: I took the test.

Answer:

C.) 15

Step-by-step explanation:

does anyone know how to do this?

WILL GIVE BRAINLIEST ANSWER!!!


(a) Find the image of (6,2) under T (1,4)

(b) Find the image of (3,1) under r y=0

(c) Find the image of (−1,−3) under R (0,0),180

(d) Find the preimage of (2,1) under T ( −3,−4)

Answers

Answer:

a is (7,6)

b is (3,-1)

c is (1,3)

d is (5,5)

Step-by-step explanation:

Justin needs 9 pieces of rope that are
1 1/2 feet long each. He says he can cut the 9 pieces from a 12 3/4 foot long rope. Is Justin correct? Write an equation with a complex fraction to support your answer.​

Answers

Answer:

no.

Step-by-step explanation:

half of 9 ft is 4.5 ft, 9 + 4 and 1/2 is 13 1/2

Mark has £5. A litre of milk costs 80p. He buys as many as he can. How much money will he have left

Answers

Answer:

He can buy 6 liters because £0.80 x 6 = £4.80. So he will have £5.00 - £4.80 = £0.20 left over. 20p.

Step-by-step explanation:

welcome

Students in a world geography class want to determine the distances between cities in Europe. The map gives all distances in kilometers. The students want to determine the number of miles between towns so they can compare distances with a unit of measure with which they are already familiar. The graph below shows the relationship between a given number of kilometers and the corresponding number of miles.

Answers

Answer:

Step-by-step explanation:

i guess we will never know.

Find the slope of the line through each pair of point

Answers

Answer:

what are the pair of points?

f(x) = -3/5x - 17 if f(x) = -2, find x
f(x) = -11 - 1/6x if f(x) - -25, find x

Answers

Answer:

x = - 25 , x =  84

Step-by-step explanation:

Given f(x) = - [tex]\frac{3}{5}[/tex] x - 17 and f(x) = - 2 , then equate right sides

- [tex]\frac{3}{5}[/tex] x - 17 = - 2 ( add 17 to both sides )

- [tex]\frac{3}{5}[/tex] x = 15 ( multiply both sides by 5 to clear the fraction )

- 3x = 75 ( divide both sides by - 3 )

x = - 25

---------------------------------------------------------

Similarly equate right sides

- 11 - [tex]\frac{1}{6}[/tex] x = - 25 ( add 11 to both sides )

- [tex]\frac{1}{6}[/tex] x = - 14 ( multiply both sides by 6 to clear the fraction )

- x = - 84 ( multiply both sides by - 1 )

x =  84


Brent went for a bicycle ride. The clocks show his start time and his
end time. How long did Brent ride his bicycle?

Answers

Answer:

He rode his bicycle for 40minutes

Hope it helps:)

answer: 40 minutes!!

Please solve this law of indices question
and don't give studip ans
i will mark as brainlisted ​

Answers

Answer:

hope you understand .............

In the diagram, a || band b || c. Find the values of a
12x + 610
106°
The values of u are and

Answers

2x+6=106
2x=100
x=50

12x+610=106
12x= −504
x= -42

i will give brainliest please help
Please help. Point M is the mid-point of PQ. The coordinates of P and M are given below. M (5, -2) and P (11, -10) Based on the information given, what is the coordinates of Q?

Answers

Answer:

Q(-1 , 6)

Step-by-step explanation:

Midpoint M(5 , -2)

[tex]Midpoint = \left(\dfrac{x_{1}+x_{2}}{2},\dfrac{y_{1}+y_{2}}{2} \right)\\\\P(11 , -10) \ ; x_{1} = 11 \ & \ y_{1}=-10\\\\\left(\dfrac{11+x_{2}}{2},\dfrac{-10+y_{2}}{2}\right)= \left( 5 , -2 \right )\\\\\dfrac{11+x_{2}}{2}=5 \ ; \dfrac{-10+y_{2}}{2}=-2[/tex]

11 + x₂ = 10         ;  -10 + y₂ = -4

      x₂ = 10 - 11   ;      y₂ = - 4 + 10

      x₂ = -1          ;       y₂ = 6

Q(-1 , 6)

the coordinates of point Q is (-1,6)

Given:



A

E

D





A

C

B

.

∠AED≅∠ACB.


Prove:



A

B

C





A

D

E

∠ABC≅∠ADE.


Answers

The triangles have a common vertex angle, and a given pair of

corresponding and congruent angles, they are therefore similar triangles.

∠ABC ≅ ∠ADE  (CASTC)

Reasons:

The given parameters are;

∠AED ≅ ∠ACB

By observation, we have that ΔAED and ΔACB have ∠A = ∠DAE and ∠A =

∠BAC in common.

Therefore, ∠DAE ≅ ∠BAC, by reflexive property.

Two angles of ΔAED (∠AED and ∠DAE) are congruent to two angles in

ΔACB.

(∠ACB and ∠BAC), which gives that ΔAED and ΔACB are similar by AA

Angle-Angle similarity postulate, and by Corresponding Angles of Similar

Triangles are Congruent CASTC we have;

∠AED ≅ ∠ACB

∠DAE ≅ ∠BAC

∠ABC ≅ ∠ADE

Learn more here:

https://brainly.com/question/4638844

For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 12 N acts on a certain object, the acceleration
of the object is 6 m/s?. If the acceleration of the object becomes 4 m/s, what is the force?

Answers

Answer:

8N

Explanation:

Since Force is proportional to acceleration,

F1/a1=F2/a2

Therefore;

12/6=F2/4

F2=(12*4)/6

=8

Shylan's vegetable garden is florishing. She has
20 plants in her garden which are broken into
equal rows. 1/5 of the rows are cucumbers and
40% of the rows are squash. 1/2 of the
remaining rows are tomatoes. How many
pepper plants does she have?

Answers

Answer: 90millionhajk

Step-by-step explanation:

Please help out. I'm lost. I don't understand this :/

Answers

scalene triangle is a triangle with no congruent sides
isosceles triangle is a triangle with at least 2 congruent sides (i.e. 2 or 3 congruent sides)
equilateral triangle is a triangle with exactly 3 congruent sides.

Graph 15 is an isosceles triangle

Step-by-step explanation:

15 . triangle on number 15 is an isoseles because it has two sides that are equal

and also it has two angles that are equal

16. it is a scalene beacause it has no side that is equal furthermore its angles are not the same they are all different

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