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.

Answers

Answer 1

Answer:

The percent of interest is 12.3% per year

Step-by-step explanation:

According to the question Elwood invested 5000 $ in market account

The market account gives the compound interest annually

let p be the interest per year then

At the end of 1st year

amount =(1+0.p) x 5000  = 1.p x 5000

similarly at the end of 2nd year

amount =(1+0.p) x(1+0.p)x 5000  = [tex](1.p)^{2}[/tex] x 5000

similarly at the end of 3rd year

amount = 7100 $ = [tex](1.p)^3[/tex] x 5000

⇒ [tex]\frac{71}{50}[/tex] = [tex](1.p)^3[/tex]  

1.392 =  [tex](1.p)^3[/tex]

on further solving we get

1.p = [tex](1.42)^{1/3}[/tex] = 1.123

thus 1.p = 1 + 0.p = 1.123

thus p = 0.123

thus the percent of interest is 12.3% per year

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

What is the slope of the line that passes through the points (-9,8) and
(-21, 10)? Write your answer in simplest form.

Answers

Answer:

The slope is -1/6

Step-by-step explanation:

We simply use the slope formula here

Mathematically, we have this as;

m = (y2-y1)/(x2-x1)

thus;

m = (10-8)/(-21 + 9) = 2/-12 = -1/6


A shoe store uses a 38% markup to price their items. The store buys the
shoes from the wholesaler for $52. By how much will they mark up the price?

Answers

Answer:

They will Markup the price by $19.76.

Step-by-step explanation:

Markup percent = 38%

Wholesale Price = $52

Markup price can be calculated by simply multiplying the wholesale price by 38% or 0.38.

so

Markup price = 38% of 52

                      = 38/100 × 52

                       = 0.38 × 52

                       = $19.76

Therefore, they will Markup the price by $19.76.

At Bridgeview School, 7/10 of the total students are driven to school by their parents. Another 1/6 of the total students at Bridgeview School ride the school bus. The remaining students walk. What fraction of the students walk to school?

Answers

Answer:

a fraction

Step-by-step explanation:

a fraction

C

Step-by-step explanation:

Which is an example of a statistical question?

|
|How old am 1?
How old is the teacher?
How old will I be after my next birthday?
How old are the students ín math class?

Answers

Statistic questions can only be answered with collective data

Answer: how old are the students in the math class

Why: because their ages vary and can be used as data

Answer:

Question 4 is a statistical question aka answer D

Step-by-step explanation:

Correct on edge

2/3 + (-1/3) = ?????

Answers

Answer: (+) 1/3

Step-by-step explanation: 2/3 + -1/3 is basically subtracting 1/3 from 2/3 so, 2/3 - 1/3 = 1/3.

Answer:

The answer is 1/3.

Step-by-step explanation

If you have a calculator then you can put it in your calculator and it will give you the answer.

If you don't have one then here is how you do it.

Its simple really, all your doing is just subtracting 1/3 from 2/3 and you will get 1/3 which is the answer.

I hope this helps you.

The tens digit is twice the units digit. Reverse the digits, add 2 and the new number is 34 less than the original number. Find the original number.

Answers

Answer:

Step-by-step explanation: X and Y represent the digits.

The tens digit is twice the units digit.

The digit in the Tens place has 10× its base value, so we can set up equations to model the information given.

10x +y 10y +x are Original & Reversed numbers

X = 2y means the Tens digits is twice the units digit.

10y + x +2 = 10x +y - 34 models the statement: The reversed number plus two is 34 less than the original number.

Substitute 2y for x to solve for y

10y +2y +2= 10(2y) + y -34

Distribute and combine like terms

12y + 2 = 20y +y - 34

34 +2 = 21y -12y

36 = 9y Divide both sides to find the value of y.

4 = y

X = 2(4) Substitute 4 for y to find x

X = 8

Original number: 84 Reversed number: 48

Substitute into equation model

48 +2= 84 -34

50 = 50

True!

Use the graph above to determine which of the following ordered pairs is in quadrant II.
( (-5-2)
(3.2)
(4.-1)
(-4, 6)
hellppp!!

Answers

The answer is (4,-1)

Complete the similarity statement for the two quadrilaterals given.



Enter your answer in the box.

quadrilateral RBWZ∼quadrilateral

Answers

Answer: hi! the answer is in the picture below but in case you can’t see the answer is JPFS

have a wonderful day and stay safe!!!

Step-by-step explanation: (see picture :))

Answer:

JPFS

Step-by-step explanation:

Verified correct with test results.

6 quarts =
gallons


Please i meed help answer fast

Answers

Answer:

1 2/4 or 1.5

Explanation:

There are 4 quarts in a gallon, and 2 left over add 1/2 to the full gallon. So, 1 gallon, plus 2 quarts, which is equal to 1/2 gallon, is 1.5 gallons :D

Hope this helped!

What is the measure (in radians) of central angle in the circle below?
5 cm
0
2 cm
radians

Answers

Answer:

2.5

Step-by-step explanation:

Hey guys p lease help!!

Answers

Answer:

24

Step-by-step explanation:

Using ratios, we know that PQ/PT = PR/PS = QR/TS

of course, we know this because of AA similarity.

PQ/PT = 1/2

so PR/PS = 1/2 => PS = 12*2 = 24

Answer:

24

Step-by-step explanation:

PQ is half of PT, therefore, if PR = 12, PS = 24  

Samir spent $150 at Costco. He had a coupon that took 5% off the total bill, b. What was the bill before the discount?

Answers

Answer:

157.89 is the answer

a first number plus twice a second number is 4. twice the first number plus the second number totals 26. find the numbers

Answers

Answer:

a = 16

b = -6

Step-by-step explanation:

a + 2b = 4

2a + b = 26

2a + 4b = 8

2a + b = 26

3b = -18

b = -6

a + 2(-6) = 4

a - 12 = 4

a = 16

solve for w. 7w=-14

please help me with this one plz

Answers

Answer: w = -2

Step-by-step explanation:

7w = -14

Divide both sides by 7

w = -2

That was brief but hope it helps!

Answer:

W = -2

Step-by-step explanation:

7W÷7      -14÷7

W= -2

Carl earns $3.25 per hour walking his neighbor’s dogs. He walks them 1/3 of an hour in the morning and 1/2 of an hour in the afternoon.
a. How much time does Carl spend dog walking every day?
b. How much time does Carl spend dog walking in a week?
c. Ten minutes is equal to 1/6 of an hour. How many minutes does Carl work dog walking each week?
d. How much money does Carl earn each week?

Answers

A) is 50 minutes
B) 5.83 hours
C) 350 minutes
D)he would make $18.95 a week

Please help explain how to do this

Answers

Parentheses
Exponents
Multiple
Divide
Add
Subtract

Answer:

Any number that isn't 3.

Step-by-step explanation:

Any other number should work, so I'll just show you what happens if you use 3.

2(3x - 2) = 6x + 5

6x - 4 = 6x + 5

-4 ≠ 5

As you are aware, that would make it no solution hence why it can't be used.

A seed company planted a floral mosaic of a national flag. The perimeter of the flag is Determine the​ flag's width and length if the length is ft greater than the width.

Answers

Answer:

Step-by-step explanation:

lag is Determine the​ flag's wlag is Determine the​ flag's wlag is Determine the​ flag's w this mena that the wiatgh

Answer:

I need help on this.

Step-by-step explanation:

Picture attached below

Answers

Answer:

it's answer is B. 4/5

Step-by-step explanation:

perpendicular (p) = 8

hypotenuse (h) = 10

sin < A

= p/h

= 8/ 10

= 4/ 5

Hope it will help :)

Sally was painting an airplane on a canvas using a 1in.: 8ft scale. If her painting was 29 inches wide, what was the actual width of the airplane?

Answers

Answer:

232 inches or 19.33 feet

Step-by-step explanation:

232 feet is the  actual width of the airplane.

What is Unit of Measurement?

A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.

Sally was painting an airplane on a canvas using a 1in.: 8ft scale

1 inches = 8 ft scale.

Sally painting was 29 inches wide.

We have to find the actual width of the airplane.

Convert 29 inches to feet.

As we know 1 inche is 8 feet so 8 inches will be the multiple of 8 and 28.

29×8

232 feet.

Hence, 232 feet is the  actual width of the airplane.

To learn more on Unit of Measurement click:

https://brainly.com/question/15402847

#SPJ5

A zoo keeper wants to fence a rectangular habitat for goats. The length of the habitat should be at least 80 feet and the perimeter of the habitat should be no more than 300 feet


Write a system of linear inequality:___________


Please help!! It’s due within 20 minutes!! Please..

Answers

Answer:

Step-by-step explanation:

Let x ft be the length of the fence and y ft be the width of the fence.

1. The length of the habitat should be at least 80 feet, then

2. The perimeter of the habitat should be no more than 300 feet. The perimeter of the fences 2x+2y ft, then

3. The system of inequalities that represent the model is

The graph of these inequalities is attached.

Two possible solutions are

1. x=100 ft, y=20 ft (100≥80 and 2·100+2·20=240≤300);

2. x=110 ft, y=30 ft (110≥80 and 2·110+2·30=280≤300).

The top and bottom margins of a poster are each 6.5 cm and the side margins are each 4.5 cm. The area of printed material on the poster is fixed at 384 cm^2.

Answers

Answer:

384cm^2,

Step-by-step explanation:

The top and bottom margins of a poster are each 6 cm and the side margins are each 4 cm. If the area of printed material on the poster is fixed at 384 cm^2,

Can somebody plz help answer both the word problem question and number 24. (I can’t find the right answers) :(

WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :DD

Answers

Answer:

23:600

24

a12

b27

c36

d45

Step-by-step explanation:

23.

5/9 = ?/1080

1080/9 = 120. 120 × 5 = 600

So there are 600 students who voted for the winning candidate in the school.

24.

Length : width

4 : 3 (we need to cross multiply and solve the equation in order to find the answer to these)

x : 16 <- 16 × 4 = 64. 3 × x = 3x. 64 = 3x. 64/3 = 21 1/3. 21.3:16

x : 26 <- 26 × 4 = 104. 3 × x = 3x. 104 = 3x. 104/3 = 34 2/3. 34.6:26

x : 48 <- 48 × 4 = 192. 3 × x = 3x. 192 = 3x. 192/3 = 64. 64:48

x : 60 <- 60 × 4 = 240. 3 × x = 3x. 240 = 3x. 240/3 = 80. 80:60


[tex] - 10 = 2x + 6[/tex]
how do I do this​

Answers

X=-8 2x=-16 divide both sides by 2 and it will equal -8 remember negative times positive is a negative

brainly pls


What is the solution of x + 6 11
C. x –1

show your work pls

Answers

Answer:

C. x < –1

Step-by-step explanation:

What is the solution of x + 6 < 5?

A. x < 11

B. x > 11

C. x < –1

D. x > –1

-1+6<5

but you need less than 5 so

x<-1

What is the length for this question?

Answers

Answer:

I believe it would be 3.5

Step-by-step explanation:

2 is half of 4, the measurement for that same side on the connected triangle, by that logic, x would be half of 7.

7 ÷ 2 = 3.5

Answer:

i think it is 9

Step-by-step explanation:

.

(3x+15) (2x)

Help pls

Answers

Answer:

(

3

+

1

5

)

(

2

)

(3x+15)(2x)

(3x+15)(2x)

Simplify

1

Distribute

(

3

+

1

5

)

(

2

)

3

(

2

)

+

1

5

(

2

)

Solution

3

(

2

)

+

1

5

(

2

)

Step-by-step explanation:

Answer:

[tex]3x+15+2x=180\\5x=165\\x=33\\[/tex]

The line models the temperature starting at noon on an autumn day.

a. Find the y-intercept of the function.

b. What does the y-intercept represent?

please help! (i will insert a picture so you can see the graph)

Answers

Answer:

a) y-intercept (as can be seen) is 50 degrees

b) this means that, at the time the temperature began to be recorded, it was 50 degrees outside

Step-by-step explanation:

will mark brainliest! pls help
JKLM, what is the value of M

Answers

A. 65 is the answer for you!

Matteo is following this recipe to make a cake.
He wants to make three of these cakes.
How much of each ingredient does he need?

Recipe: Makes 1 cake
8 ounces butter
7 ounces sugar
10 ounces of flour
4 eggs
1 teaspoon (tsp) baking powder

Answers

Answer:

30 ounces of butter

25 ounces of sugar

35 ounces of flour

15 eggs

10 tbps of baking powder

Step-by-step explanation:

All you do is multiple each quantity by 5 I think

we are learning about this in school but check the web to see if it is correct

Standard Form: 3x+4y=−16

Answers

Answer:

i know the answer

Step-by-step explanation:

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