Elwood invested $5,000 in a money market account and has been tracking its progress. He found that after 3 years, the account held $7,100 and after 8 years, the account held $10,350. Use this information to complete the statements. Over the first 3 years, the value of the account increased at ___ over the last 5 years. Over the entire 8 years, the value of the account increased at an average rate of approximately $___ annually.

Answers

Answer 1

Answer:

Given:

Principal= $5,000

After 3 years, Amount= $7,100

After 8 years, Amount= $10,350

Step-by-step explanation:

Interest after 3 years= $7,100- $5,000

                                   =$2,100

Interest in last 5 years= $10,350- $7,100

                                    =$ 3,250

Difference between first 3 years and last 5 years= $3,250- $2,100

                                                                                 =$1,150

Amount= Principal*[tex](1+r/100)^{t}[/tex]

10,350=5000[tex](1+r/100)^{8}[/tex]

[tex]\frac{10350}{5000}[/tex]=[tex](1+r/100)^{8}[/tex]

2.07=[tex](1+r/100)^{8}[/tex]

[tex]2.07^{1/8}[/tex]=1+[tex]\frac{r}{100}[/tex]

1.095-1=[tex]\frac{r}{100}[/tex]

0.095*100=r

r=9.5%

Average rate=[tex]\frac{5000*9.5*1}{100}[/tex]

                    =$475

Answer 2

Answer:

drop down 1 a slower rate per year

drop down 2 670

Step-by-step explanation:

as in three years you get $7100

you take that and subtract it by your starting amount (5000)

7100-5000= 2100

then divide 2100 by the number of years (3)

to get your annual rate of 700$

then you take the 8 year total and subtract it from your 3 year total

10350-7100= 3250

Then divide that by 5 because that how many years it has been

to get the annual rate of 650

making the 5 year rate slower.

The to find the average rate over all 8 year you take 10350 and subtract it from your starting number 5000

10350-5000= 5350

then take 5350 and divide it by the number of years (8)

you then get you average rate of 668.75

668.75=670

Hope this helps!


Related Questions

3 lines are shown. A line with points P, R, N intersects a line with points M, R, O at point R. A line extends from point R to point L between angle P R M.
Which angles form a linear pair?

AnglePRL and AngleLRM
AngleORP and AngleMRN
AngleMRN and AngleNRO
AngleLRP and AngleORP

Answers

Answer:

The answer is C

Step-by-step explanation:

This is right because that's what I did

From the options given, the angles that form a linear pair are: c. m∠MRN and m∠NRO

What is a Linear Pair?A linear pair is a set of two adjacent angles whose sum equals 180°.Linear pair are also angles that form a straight line when combined together.

The 3 lines are shown in the image attached below.

In the diagram, there are two linear pairs that are formed, they are:

m∠MRN and m∠NROm∠PRO and m∠NRO

Therefore, from the options given, the angles that form a linear pair are: c. m∠MRN and m∠NRO

Learn more about linear pair on:

https://brainly.com/question/13218054

Let’s see who smart what is it and why

Answers

Answer:

Step-by-step explanation:

Wheelbarrows  is 30/3 = 10

Pair of shoes is (18 - 10) /2 = 4 so one shoe is 2

2 Seed bags is 4 - 2 = 2 so one bag is 1

Answer is 1(seed baf) + 10(wheelbarrows X 2(shoe) = 21

Isabel created a scale model of her dad's truck. On the scale model, the length of the truck is 51 inches. The length of the actual truck is 17 feet long.

Which scale did Isabel use to create the scale model of her dad's truck?

Answers

Answer:

1 inch = 3ft

Step-by-step explanation:

If you divided 51 feet  by 17 inch  you will get 3 feet. So 1 inch = 3 feet

NOOB

N EED ANSWER NOW ON TIMER PLASERA

Answers

Answer:

17/190

Step-by-step explanation:

Its correct

Answer:

D

Step-by-step explanation:

1 x 17 = 17

10 x 18=180

so it's 17/180

What is the answer? ​

Answers

Answer:

B is the answer

B is the answer bro



Thanks. Hope it will help

Simply the expression (5x+9y) - (11x-3y+7)

Answers

Answer:

-6+12y-7

Step-by-step explanation:

Who doesn't like short answers, instead of writing a hole paragraph.

Answer:

[tex]-6x + 12y - 7[/tex]

Step-by-step explanation:

[tex](5x + 9y) - (11x - 3y + 7)[/tex]

Lets open the brackets.

[tex]=> 5x + 9y - 11x + 3y - 7[/tex]

Now lets add/substract the like terms only.

[tex]=> 5x - 11x + 9y + 3y - 7[/tex]

[tex]=> -6x + 12y - 7[/tex]

What is the approximate circumference of the circle shown below

Answers

Answer: A) 46.5 cm

Step-by-step explanation:

Circumference = 2 π r or Circumference = π d

In this case, they give us the diameter = 14.8 cm. Therefore the radius = 14.8/2 = 7.4 cm.

π ≈ 3.14.

We can use either equation above, but because the diameter was given, we will use c = πd for simplicity.

C = π d

= (3.14)(14.8)

= 46.47 cm, which rounds to 46.5 cm

On a scavenger hunt, you find 19 out of 20 objects. Write "19 out of 20" as a fraction, a decimal, and a percent

Answers

Fraction: 19/20

Decimal: 0.95

Percent: 95%

A carpenter has a wooden board that measures 14 meters long. He must cut the board into 6 pieces of equal length. How long, in meters, should the carpenter cut each piece?

Answers

Answer:

2 1/3 meters

Step-by-step explanation:

You would simply divide 14 by 6 which gives you 2.3 repeating and 0.3 repeating is the fraction 1/3.

Twice the sum of x and 3 is decreased by 13

Answers

Given:

Twice the sum of x and 3 is decreased by 13.

To find:

The expression for the given statement.

Solution:

The sum of x and 3 is (x+3).

Twice the sum of x and 3 is two times of (x+3), i.e., 2(x+3)

Negative sign is used of decrease.

Decreased by 13 is represented by -13.

Using these representation, we get

Twice the sum of x and 3 is decreased by 13: [tex]2(x+3)-13[/tex]

Therefore, the required expression is [tex]2(x+3)-13[/tex].

The data show the number of viewers for television stars with certain salaries. Find the regression​ equation, letting salary be the independent​ (x) variable. Find the best predicted number of viewers for a television star with a salary of ​$33 million. Is the result close to the actual number of​ viewers, 3.03.0 ​million? Use a significance level of 0.05.

Answers

Answer:

y = 5.064 - 0.010x

Here, in this question x = 33

y = 4.734 million views

In this question data is missing and I filled it out and calculated the questions accordingly. Please refer to the attachment for the data calculated.

Step-by-step explanation:

First of all, this question is incomplete. It lacks the data needed to calculate the required things.

So, I  figured out the question and I will try my best to solve the question at hand.

I have calculated the some data sheet in excel. Please refer to the attachment for that data.

let a be the salaries

b be the viewers

[tex]S_{aa}[/tex] = ∑[tex]a^{2}[/tex]  - [tex]\frac{ Summtion a^{2} }{n}[/tex]

[tex]S_{aa}[/tex] = 7522.8571

[tex]S_{bb}[/tex] = ∑[tex]b^{2}[/tex]  - [tex]\frac{ Summtion b^{2} }{n}[/tex]

[tex]S_{bb}[/tex] = 47.1943

[tex]S_{ab}[/tex] = ∑[tex]ab^{}[/tex]  - [tex]\frac{ Summtion a x Summation b^{} }{n}[/tex]

[tex]S_{ab}[/tex] = -76.8286

Now the slope of the required regression equation is:

Slope =  [tex]S_{ab}[/tex]/[tex]S_{aa}[/tex] = -76.8286/7522.8571 = -0.010

And the intercept of the required regression equation:

intercept = [tex]\frac{1}{n}[/tex] x (∑b - slope x ∑a) = 5.064

So, the regression equation will be:

y = intercept + slope x

y = 5.064 - 0.010x

Here, in this question x = 33

y = 5.064 - 0.010 (33)

y = 4.734 million views

please help me on this!!

Answers

Answer:

(a). Music and dance.

(b). Three students.

(c). Hong, Ryan, Lena and Mai

Step-by-step explanation:

a) Hong is not a member of i. music and Dance

b) 2 students which is Eric and Omar

c). Mai , Hong,Ryan and lena

Solve the following equations
3y-6x=48
y=3x+11

Answers

Answer:

See below

Step-by-step explanation:

a). 3y-6x=48

soln

or, 3xy=48

or, xy=48÷3

or, xy=32,,

b). y=3x+11

soln

or, y=13x

or, xy=13,,

X=5 y=26 I don’t know what to say it said add more characters so here that goes..

Plzzzz help and also can you plz show how you got the answer

Answers

Answer:hi

Step-by-step explanation:

HELP ASAP EXPLAIN hellooo

Answers

I think it will be none of the above

Four different stores are having a sale on the same pair of shoes that cost $325. The signs below show the discounts available at each of the four stores. What is the price of one pair of shoes at each of the stores?

Answers

Answer:

I would need to see the signs to show each discount to figure this one out.  Can you add it?

Step-by-step explanation:

help please I beg✨✨✨✨✨​

Answers

Answer:  5x-3

=======================================================

Explanation:

Think of x as a placeholder for a number. For me, I tend to think of it as a box. It's handy that the letter x is part of box, to help make that connection better. We have some box and inside the box goes a number.

If we multiply 5 by whatever is in the box, we can write it like [tex]5*\square[/tex]

Then let's say we fill that box with the value 7. We would then have [tex]5*\boxed{7}[/tex]

If we put 3 in the box instead we'll have [tex]5*\boxed{3}[/tex] and so on

Unfortunately the box symbol isn't something we could easily write on a keyboard, so we go with x instead to make life simpler.

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

So far we've shown that "5 times a number" turns into 5*x or just 5x.

From here we subtract off 3 to get 5x-3 as the final answer. Whatever the result of 5x is, we subtract off 3.

The answer would not be 3-5x since this means "subtract 5x from 3". The order of subtraction matters. In general, A-B is not the same as B-A.

PLEASE HELP WILL MARK BRAINLIEST!!!!!

Answers

Answer:

Samuel's function will have the greatest rate of change.

Step-by-step explanation:

Samuel's rate of change is -15 as shown by the graph. Isaac's is -10, Samuel's has the greatest value because it will change more dramaticly.

samual is -15 issac is -10

Isaiah gave $18 to his Friends. He gave 4 to Ricardo, $7 to Jeremiah, and the rest to Fabian. how much money did Fabian get?​

Answers

Answer:

Fabian got $7.

Step-by-step explanation:

Isaiah gave $18 to his friends--Ricardo got $4, Jeremiah got $7, and Fabian got the rest. This needs a math equation!

4 + 7 + f = 18

where f is the amount of money Fabian got.

4 + 7 + f = 18

(subtract 4 from both sides)

7 + f = 14

(subtract 7 from both sides)

f = 7

It looks like Fabian got $7! Let's check just to make sure.

4 + 7 + f = 18

4 + 7 + (7) = 18

18 = 18

It checks out!

The answer is.. $7.00

Hope this helps!!

Which expression is equivalent to (x Superscript 27 Baseline y) Superscript one-third?
x cubed (RootIndex 3 StartRoot y EndRoot)
x Superscript 9 Baseline (RootIndex 3 StartRoot y EndRoot)
x Superscript 27 Baseline (RootIndex 3 StartRoot y EndRoot)
x Superscript 24 Baseline (RootIndex 3 StartRoot y EndRoot)

Answers

Answer:

Answer is D

Step-by-step explanation:

On Edge 2020

help please

Determine whether the triangles are congruent. If​ so, name the postulate or theorem that justifies your answer. If​ not, explain.

Are the triangles congruent or not​ congruent? If they​ are, identify by what postulate or theorem.
A.The triangles are congruent by the AAS Postulate.
B. The triangles are congruent by the SSS Postulate.
C. The triangle are not necessarily congruent. Not enough information is provided.
D. The triangles are congruent by the SAS Postulate.

Answers

The answer is D. The triangles are congruent by SAS Postulate

The triangles are congruent by the SAS Postulate.

What are congruent triangles?

A closed polygon made of three line portions shaping three points is known as a Triangle.

If the sides of two triangles are the same length and the angles are the same size, they are said to be congruent. As a result, it is possible to superimpose two triangles side by side and angle by angle.

Given triangles

ΔUTS and  ΔRTS

which shows

UT and RS are parallel

and TS is common side

so ∠UTS = ∠RST

by  UT ║ RS (side)

∠UTS = ∠RST (angle)

TS = TS (common side)

ΔUTS ≅  ΔRTS

by SAS postulate

Hence Triangles are congruent.

Learn more about congruent triangles;

https://brainly.com/question/12413243

#SPJ2

Does anyone know how to solve this (4-7i) - (-3+6i) ?

Answers

Step-by-step explanation:

(4-7i)-(-3+6i)

4-7i+3-6i

7-13i(simplified)

Answer:

7-13i

Step-by-step explanation:

(4-7i) - (-3+6i)

4-(-3)+(-7-6)i

7-13i

I need help thank you

Answers

Answer:

x is greater than or equal to 8.75 or 8 3/4

Step-by-step explanation:

So we first write the inequality 3 + 1.2c "is greater than or equal to sign" 13.5. Then we subtract 3, then divide both sides by 1.2 to isolate c. We get x "is greater than or equal to" 8.75.

Older Orchards need more hives per acre Caleb has decided to place 6 hives for every 2 acres on an older peach orchard Zeke one of Caleb workers delivery 10 hives to a 30 acre peach orchard did Zeke follow Calebs decision.how does the table prove your answer.

With a table

Answers

Answer:

Zeneca did not follow the directions. In order to follow Caleb's directions, Zelda would need to bring in 6 hives for every 2 acres of peaches.

If there are 30 acres, this means he would 15 groups of 6 hives (90 hives). He only brought 10.

Step-by-step explanation:

Which events are independent?

Select each correct answer.



One coin is drawn from a bag of coins after another coin is drawn without replacement.
Two white balls are drawn from a bag of balls without replacing the balls.
Two spinners are spun at the same time.
A six-sided number cube is rolled and a coin is flipped.

Answers

Answer:

A six sided number cube is rolled and a coin is flipped

Step-by-step explanation:

These are two different objects that have 0 correlation with eachother

Element X decays radioactively with a half life of 13 minutes. If there are 830 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 20 grams?

Answers

Answer:

26.92 min

if I'm not wrong!

You deposit $400 in an account. The account earns $18 simple interest in 9 months. What is the annual interest rate

Answers

Use the formula,

I = Prt

P = Principal amount = 400

I  = interest = 18

r = annual rate

t = time in years = 9/12 = 3/4

so,

18 = 400*r*3/4

r =  0.06

so the annual interest rate is 0.06 or 6%.


What is the slope?

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer:

[tex]\displaystyle m=\frac{1}{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (0, 40)

Point (20, 50)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute [SF]:                    [tex]\displaystyle m=\frac{50-40}{20-0}[/tex]Subtract:                              [tex]\displaystyle m=\frac{10}{20}[/tex]Simplify:                               [tex]\displaystyle m=\frac{1}{2}[/tex]

Plz and quick!
I rly rly need this

Answers

Step-by-step explanation:

20x² = y - 24

y = 20x² + 24

For y to have the least possible value, x² have to be the least possible, which is 0.

Since -3 <= x <= 2 includes x = 0, this is allowed.

Hence least possible value of y

= 20(0)² + 24 = 24.

Answer:

24

Step-by-step explanation:

-3---> 20(-3)^2=y-24 ----> y=204

-2---> 20(-2)^2=y-24 ----> y=104

-1---> 20(-1)^2=y-24 ----> y=44

0---> 20(0)=y-24 ----> y=24

1---> 20(1)^2=y-24 ----> y=44

2---> 20(2)^2=y-24 ----> y=104

which equation represents the graph below

y= x/35
y=35x
y=x-35
y=x+35

Answers

Answer:

B: y=35x

Step-by-step explanation:

You can verify this by plugging 1 to be x (35*1=35) and 2 (35*2=70)

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