Alyssa received $30,000 from an inheritance and invests part in a certificate of deposit (CD) paying 5% annual interest and the rest in Apple Inc. offering an annual return of 11%. If the annual income from her investments is $2,220, how much did Alyssa invest in each?

Answers

Answer 1

The annual income (A) is equal to the difference of future worth (F) and the present worth (P). Since the formula of F is:

F = P (1+i)ⁿ, then,
A = F - P
A = P[(1+i)ⁿ - 1] = $2,220, where n=1 because annual means income per one year

Now, amount of P should be distributed such that the total would be $30,000. Thus, the equation should be

(30,000 - x)[1 +0.05 - 1] + x[1 + 0.11 - 1) = 2220
Solving for x,
x = 12,000
30,000 - x = 18,000

Hence, Alyssa placed $12,000 in the certificate of deposit, and $18,000 with Apple Inc.

Related Questions

Please show your work with each expression. Simplify.

6a - 2b^2 a=9 b=5

4d^3 + 6e^2 - 8d ÷ 2 d=2 e=3

5r^2 ÷ 4 + 4s ÷ 3r r=4 s=9

Answers

(replace the variables) 6(9)-2(5)^2
(simplified) 54-10^2.... 54-100=-46

Need help on part b asap

Answers

the answer gotta be b or d

You have the first part correct. The area 36pi comes from squaring 6 to get 36.

The diameter 12 is cut in half to get the radius 6.

Add on 3 to the radius to get 3+6 = 9. The new radius is 9 which squares to 81. That's why the answer is choice D for the problem on the right.

what is the value of "x" in 16^2 = x

Answers

16^2 = 16 * 16 =256

x = 256

What is the unit rate for 3 inches of rain in 6 hours?

Answers

You would multiply 3*6

1/2 (.5) inches an hour

How does an underestimate relate to rounding factors before estimating?

Answers

when both factors in a multiplication problem are rounded up to estimate the product, the estimate is an overestimate.

When you round up, you overestimate because now numbers are bigger than before rounding. In a similar way, when you round down, you underestimate. And, when you round down some factors and round up others, it is hard to tell whether the estimate is an overestimate or an underestimate.

10x + 9 as a word phrase

Answers

"Ten times a number plus 9" Is the correct way to write this equation.

Elena has one and a half times as much money as ramon. together they have $225. how much money does each have? choices for ramon's amount: 80, 90, 95

Answers

e + r = 225
e = 1.5r.......1 1/2 = 1.5

1.5r + r = 225
2.5r = 225
r = 225/2.5
r = 90 <== raymon

e = 1.5r
e = 1.5(90)
e = 135 <=== elena

name the property for x+y=y+x

Answers

it is the commutative property!

Commutative property is your answer

hope this helps

Is -2.74 a rational number?

Answers

yes, in mathematics, a rational number is any numberthat can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q.

Yes -2.74 is a rational number a negative number is a rational number always then 2.74 is not is a positive number so it's never rational

Which triangle is a translation of triangle ABC?

MNO
PQR
STU
VWX

Answers

I think it’s MNO but I really don’t know

Answer:

MNO

Step by step:

A translation is the shifting of a figure from one place to another without rotating, reflecting or changing its size. So when you look at all of the answer choices then look at the definition of translation you see that MNO fits all the criterias.

(I am going with the assumption that this is the question since you gave no picture.)

(MNO is the correct answer for plato.)

suppose 25 out of 175 people said they like to play disc golf and out 5 out of every twelve of the players have a personalized black disc at the Staybridge in a group of 252 people predict how many you would expect to have a personalized flying disc

Answers

We have [tex] \frac{5}{12} [/tex] of 252 people who have a personalized black disc

Number of people who would have personalized flying disc = [tex] \frac{5}{12}*252= \frac{2*252}{12}=105 [/tex] people

Then we work out the number of people who like to play disc golf:
[tex] \frac{25}{175}*105= \frac{25*105}{175}=15 [/tex] people

So we have 15 people who like to play disc golf and have personalised black disc.

June is working on an addition problem and starts with 17,985. After she adds she still has 17,985. Which property of addition did June use? How do u know? please help me as fast as possible im doing this right now

Answers

u start with 17,985...u add a number and the result is still 17,985. There is only 1 way this can happen and that is if the number u added was 0.

17,985 + 0 = 17,985....this is the additive identity property...which simply states that u can add 0 to a number and it still keeps its identity.

Answer:

Additive Identity

Step-by-step explanation:

Given number: 17985

Let say June added x to this no.

The result of the addition = 17985

Result = 17985 + x

17985 = 17985 + x

Thus, x = 0.

This means that June added "0" (zero) to the number. This is additive identity. As per this property, when additive identity is added to a number, the number remains unchanged.

Anybody know this answer ?

Answers

xy^2/(x^3 y^3)

1/(x^2 y) is the answer

Choices are associative property and commutative property opposite of a sum property

Answers

It would be associative property because the order of the numbers stayed the same

Twice a number increased by 3 is 45. What is the number?

Answers

135 because 45x3=135 at least I'm sure this is what you mean

2N+3=45

2N = 42

N = 42/2 = 21

N = 21

what is the reciprocal of the fraction 3 5/6

Answers

the reciprocal is 6/23 because once you change it into a mixed number you get 23/6 then you flip it

Bobby Hsu is an office manager at a weekly newspaper. He earns $22.50 per hour. How many hours per week does Bobby work if he earns $522.00 per week?

Answers

about 23 hours divide $522 by $22.50

alexander the great became king in 336 BB and died 13 years later. what year did he die?

Answers

323 BC. When working before Christ the more recent the year is, the smaller the number is.

323 B.C.E. because 336- 23=324 B.C.E.

Huda made 8 matching bracelets. She used 128 beads in all. How many beads did she use per bracelet? 10 beads per bracelet 12 beads per bracelet 14 beads per bracelet 16 beads per bracelet

Answers

The answer is sixteen. (16)

128 / 8=16

If Huda made 8 matching bracelets. She used 128 beads in all. Then 16 beads she used per bracelet.

What is Division?

A division is a process of splitting a specific amount into equal parts.

Given,

The number of beads Huda used are one hundred twenty eight

Number of beads=128

The number of bracelets huda made by using 128 beads is 8 bracelets.

We have to find in each bracelet how many beads Huda used.

This can be achieved by division.

We have to split 128 beads into eight groups.

128/8=16

In each group has 16 beads. Which means each bracelet has 16 beads.

Hence 16 beads she used per bracelet.

To learn more on Division click:

https://brainly.com/question/21416852

#SPJ6

I need help -3x=x-(6-2x)?

Answers

Answer:

X=1

Step-by-step explanation:

he new Coat and Jacket Store was ready to open. The workers put out 42 racks of men’s and boy’s coats and jackets with 16 items on each rack. They also put out 35 racks of women’s and girl’s coats with 24 items on each rack. How many coats and jackets were on the store racks? A. 42 + 16 + 35 = 93 and 93 x 24 = 2,232 coats and jackets B. 42 + 35 = 77 and 16 + 24 = 40 and 35 x 40 = 1,400 coats and jackets C. 42 x 16 = 672 and 35 x 24 = 840 and 840 + 672 = 1,512 coats and jackets D. 42 + 16 = 58 and 35 + 24 = 59 and 59 + 58 = 117 coats and jackets

Answers

42 x 16=672
35 x 24=840

672+840=1512

C. 42 x 16 = 672 and 35 x 24 = 840 and 840 + 672 = 1,512 coats and jackets

25386 to the nearest 1000

Answers

i think the answer is 25000

25000 is the answer...

A farmer has 25 yards of fencing to make a pig pen. He is going to use the side of the barn as one of the sides of the fence, so he only needs to fence 3 sides. What should be the dimensions of the fence in order to maximize the area?

Answers

a square gives the largest area

25 yards of fence = 25*3 = 75 feet

75/3 = 25 feet

so the dimension should be 25 feet by 25 feet

the area would be 25^2 = 625 square feet

The sum of three consecutive odd integers is 72 more than the smaller integer. What are the integers? plz show work.ASAP

Answers

Let the consecutive odd no. be X, Y, and Z.
Since they are consecutive,
Y = X+2 and Z = Y+2 = X+4.
Now,
X+Y+Z = X+72 (according to question)
Substituting,
3X + 6 = 72
3X = 72 - 6 = 66
Therefore,
X = (66/3) = 22
Y = 24
Z = 26

2 for $9. what is the unit price?

Answers

9/2
4.50

Hope this helped!

$4.50 is ur answer all u do is 9 divided by 2

I will give BRAINLIEST to whoever is correct.

Answers

4b/3+2 = 4-b/3

5b/3 +2 =4

5b/3 =2

5b =3*2

5b=6

b=6/5

a(n+y)=10y+32 solve for y

Answers

we have

[tex]a(n+y)=10y+32[/tex]

Solve for y

[tex]a(n+y)=10y+32\\an+ay=10y+32[/tex]

Group terms that contain the variable y, and move the other terms to the opposite side of the equation

[tex]ay-10y=32-an\\ y(a-10)=32-an[/tex]

Divide by [tex](a-10)[/tex] both sides

[tex]y=\frac{(32-an)}{(a-10)}[/tex]

therefore

the answer is

[tex]y=\frac{(32-an)}{(a-10)}[/tex]

Answer:

(32-an)/(a-10)

Step-by-step explanation:

how to solve -24-1/8p=3/8p?

Answers

first u divide both sides by 8

you get
-192-p=3p

collect like terms
-p-3p= 192

divide both sides by -4
-4p=192

P= -48

What is "40x = 5y (w - 3z)" (Solve for w)

Answers

Okee dokee, solve for w when 40x=5y(w-3z), so it's will gonna be like this:
40x=5y(w-3z)
40x=5yw-15yz
+15yz +15yz
40x+15yz=5yw
/5y /5y
40x/5y+3z=w
8x/y+3x=3, this is the final answer.

The sum of 17 and twice a number is 87. Find the number.

Answers

" the sum " means add

17 + 2x = 87
2x = 87 - 17
2x = 70
x = 70/2
x = 35 <==

Other Questions

Does the Commutative Property of Addition apply when you add two negative integer? Management in life you have lunch with a friend who was recently promoted to a management position. congratulations! you say. but she looks at you ans says, im not so sure. she goes on to tell you that shes overwhelmed with the pace of the work and demands on her time. i used to just think about myself and my own performance, she says, and now im constantly dealing with all these interdependent aspects of the organization. im expected to motivate other people to work hard--just working hard myself was a lot easier. and the interruptions! i have to shift gears constantly. she asks for your advice: i would love to get more done in less time, be more relaxed, and have more time to enjoy my job and my life. do you know any time management tips? according to Quindlen, how is america different from other countries? Wilson's administration revolutionized the role of the federal government in regulating banking, business, and trade. To what extent were the reforms of the New Freedom permanent? Do they still affect American society today? To adequately prepare for a speech, you just have a minimum of __________ __________ dress rehearsals A soccer player is running upfield at 10m/s and comes to a stop in 3 seconds facing the same direction. What is his acceleration? The song "Happy Bithday" Begins on? 1 a downbeat 2 an upbeat 3 neither a downbeat or an upbeat How did President Andrew Johnsons views on Reconstruction differ from those of Congress? While price is often the activation point that gives people the reason to subscribe and come back to groupon, consumers are really more concerned with dealing with a quality merchant and having a unique experience with their friends. in other words, consumers focus on the unique combination of benefits from the experience which is known as ________? How do u know if an inequality is sometime ,never , or always true ? Compare the effects of the navigation acts, the enlightenment, and the great awakening on the colonists. What main impact seems common to all three? Which tools measure the volume of liquid? Check all that apply.a graduated cylindera meniscusa pipettea beakeran electronic balancea caliper Essay that compare and contrast the language use in Andrew Jackson's Address to congress and Samuel's memory by Michael Rutledge The coordinates of the endpoints of and are A(3, 6), B(8, 7), C(3, 3), and D(8, 4). Which statement describes how and are related?a)AB//CDb)AB//CD, and AB bisects CDc)AB//CD, but AB does not bisect CDd)AB is neither parallel nor perpendicular to CD What microscope do you use to examine the internal structure of a nucleolus? The organization of visual elements in an artwork is called: Which is a valid ionic compound? a: sodide chlorineb: sodium chloridec: sodium chlorideD : sodide chloride If our fixed expenses are $20,000, and sales are $550,000, and our unit selling price is $55, and our unit variable expense is $44; what would profits be? A relay race is 1/10 kilometer long. Four athletes will run an equal distance to complete the relay. How far does each athlete run ? To solve the equation t - t = 12 by factoring, you would use Steam Workshop Downloader