Matthew invested $5,300 in an account paying an interest rate of 2.1% compounded annually. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $6,020?

Answers

Answer 1

Answer: it would be 6

Step-by-step explanation

Delta math

Answer 2

Based on the information for the value of the account to reach $6,020? given it will take 6 years.

Value of account:

Let x represent the number of years

(2.1%×5,300)x+5,300=6,020

111.3x+5,300=6,020

Collect like terms

111.3x=6,020-5,300

111.3x=720

Divide both side by 111.3x

x=720/111.3

x=6 years

Inconclusion for the value of the account to reach $6,020? given it will take 6 years

Learn more about value of account here:https://brainly.com/question/24852229


Related Questions


Make a conjecture of what the x-intercepts of the function
f(x) = (2x - 1)(x + 3) will be.

Answers

Answer:

x=-3,x1/2

Step-by-step explanation:

f(x)=(2x-1)(x+3)

TI find x intercept/zero substitute

f(x)=0

0=(2x-1)x(x+3)

swap the sides of the equation

(2x-1)x(x+3)=0

when the product of factors equals 0,at least one factor is zero

2x-1=0

x+3=0

solve the equation for x

x=1/2

x+3=0

solve the equation of x

x=-3

The equation has two solution

x=-3

x=1/2

In 2011, a professional climber scaled the outside of the Burj Khalifa, making it all the way to 828 meters (the highest point on which a person can stand) in 6 hours.

Answers

Answer:

276 meters in the first 2 hours

Step-by-step explanation:

Given that,

Professional climbers climb 828 meters in 6 hours.

Let us assume we need to find how far did they climb in the first 2 hours.

6 hours = 828 m

⇒ 1 hour = 138 m

So, in 2 hours,

2 hours = 138 × 2 m

= 276 m

So, the climber climb 276 meters in the first 2 hours

Kaytelyn makes $10 an hour and receives weekly bonus of $25. How many hours dose she need to work this week to make more than $250

Answers

Answer:

$22.5

Step-by-step explanation:

[tex]250\leq 10x +25\\225\leq 10x\\x\geq 22.5[/tex]

Help Plz!!
What system is Y = 2x + 1 and Y = -2x + 5?
A. Consistent system
B. Dependent system

Answers

Answer:

consistent

Step-by-step explanation:

what is the answer for this question ?:A set of multiples of 5 less than 30​

Answers

Answer:

A = {5,10,15,20,25}

Step-by-step explanation:

Tell whether the equation has one, zero, or infinitely many solutions.9(x − 3) + 15 = 9x − 11.

Answers

Answer:

Zero solutions; there are no variables and thus there are no solutions

Step-by-step explanation:

We start out with the equation 9 (x - 3) + 15 = 9x - 11

Which simplifies to 9x - 27 + 15 = 9x - 11

The 9x terms cancel each other out, and we're left with 15 - 27 = -11

And we end up with -12 = -11, which is not true.

This tells us that the equation has zero solutions, because no matter what value we substitute for x, the equation will not be true.

Answer:

No solution

Step-by-step explanation:

9(x-3)+15= 9x-11

9x-27+15=9x-11

-15 on both sides

9x-27=9x-26

add 26 on both sides

9x -1=9x

add 1 on both sides

9x=9x+1

divide 9 on both sides

x=x+1/9

No solution

I need help please help me

Answers

Answer:

8×3x - 8×y

Step-by-step explanation:

24x-8y this is the answer

find the distance round to the nearest tenth (-8, -6) (-3,-2)​

Answers

Answer:

[tex]\displaystyle d \approx 6.4[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right

Algebra I

Coordinates (x, y)

Algebra II

Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Step-by-step explanation:

Step 1: Define

Point (-8, -6)

Point (-3, -2)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute in points [Distance Formula]:                                                   [tex]\displaystyle d = \sqrt{(-3+8)^2+(-2+6)^2}[/tex][√Radical] (Parenthesis) Add:                                                                        [tex]\displaystyle d = \sqrt{(5)^2+(4)^2}[/tex][√Radical] Evaluate exponents:                                                                    [tex]\displaystyle d = \sqrt{25+16}[/tex][√Radical] Add:                                                                                              [tex]\displaystyle d = \sqrt{41}[/tex][√Radical] Evaluate:                                                                                        [tex]\displaystyle d = 6.40312[/tex]Round:                                                                                                            [tex]\displaystyle d \approx 6.4[/tex]

Answer:

6.4

Step-by-step explanation:

d=√((−3−(−8))^2+(−2−(−6))^2)

d=√((5)^2+(4)^2)

d=√(25+16)

d=√(41)

d=6.403124

d=6.4

plz help fast i have to find the surface area of a 3d shape

Answers

label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area. Hope this helps! plz mark brainliest if possible

Step-by-step explanation:

Whats the answer to this i can't figure it out can someone help.

Answers

Answer:

D!

Step-by-step explanation:

TRUST ME :) SINCE IT'S A RIGHT ANGLE YOU DO 90 DEGREES MINUS THE NUMBER IT GIVES, 38 TO GET 52. THEN YOU DIVIDE 52 BY 2 BECAUSE THERE'S OLP AND NLO :))) you get 26 after that. I hope I helped!

What is the solution of the system of equations?
x + 3y= -4
3x + 9y = –12
A. (-1,-1)
B. no solution
C. infinely many solutions
D. (1,3)

Answers

The answer for your question is B. There is no way of solving this that would come out to a full answer of just a number.

Find C. Leave your answer in simplified radical form.

Answers

9514 1404 393

Answer:

  7√2

Step-by-step explanation:

The triangle is a "special triangle", an isosceles right triangle. The side lengths of this triangle have the ratios 1 : 1 : √2. Multiplying these ratio values by 7, the length of the leg, you find ...

  c = 7×√2

  c = 7√2

_____

If you like, you can go through the Pythagorean theorem and/or trigonometry to find the same thing.

  7/c = sin(45°)

  c = 7/sin(45°) = 7/(1/√2) = 7√2

Or ...

  c² = 7² + 7² = 98 . . . . using the Pythagorean theorem*

  c = √98 = 7√2

__

* This requires you recognize the triangle is isosceles, so the other leg is also 7. Of course, you know that as soon as you see a 45° acute angle in a right triangle.

How long does it need to keep $600 in an account that pays 2.75% annual simple interest to earn $264?

Answers

Answer:

16 years

Step-by-step explanation:

Principal amount (P) = $600

Rate of interest (R) = 2.75%

Simple interest (S.I.) = $264

Let t denotes time period.

[tex]S.I.=\frac{PRT}{100}[/tex]

[tex]264=\frac{600(2.75)t}{100} \\\\t=\frac{264(100)}{600(2.75)}[/tex]

[tex]t=16[/tex] years.  

Therefore,

interest of $264 will be earned in 16 years.

Leila bought lunch at school. She had a sandwich and a shake that cost her $8. Her shake cost
$3.75. Solve the equation 8 =s +3.75 to find the cost of Leila's sandwich, s.

Answers

Answer: I think that the sandwich is $4.25 (I'm not sure)

Answer:

s=4.25

Step-by-step explanation:

look at the screenshot for the steps! :)

A total of 915 people attended a music festival at the park of these people 520 arrived before noon using estimation how many people arrived in the afternoon to the nearest hundred people?

Answers

Answer:

Step-by-step explanation:

affffF

f

ef

s

fse

s

fse

fse

f

fs

f

wsf

s

fs

fs

f

s

fs

fs

7th grade and 30 points
i have to show work

Answers

Answer:

Step-by-step explanation:

amount of discount = $10

percentage discount = $10/$39.99 ≅ 0.25 = 25%

amount of sales tax = $1.95

sales tax rate = $1.95/$29.99 ≅ 0.065 = 6.5%

cost of jeans × 1.60 = $39.99

cost of jeans = $39.99/1.60 ≅ $24.99

discounted selling price = $29.99

markup = $29.99/$24.99 ≅ 1.20 = 20%

I’ll give the Brainliest to who answers this question with a reasonable explanation.


The distance that a object covered in time was measured and recorded in the table. What equation would describe this motion?

A) y = 2x + 1

B) y = 3x + 1

C) y = 2x

D) y = 3x


Thank you.

Answers

Answer:

D y=2x

Step-by-step explanation:

Using slope formula change in y over change in x

[tex] \frac{2}{1} [/tex]

the slope is 2 and when we plug the x value in it gives us our corresponding y value so the answer is D

Amanda bought tickets for a concert for $218. Jamie bought tickets to the same concert but paid 14% less than Amanda. What were the price of Jamie's tickets?

Answers

Answer:

Jamie's tickets = $187.48

Step-by-step explanation:

The amount for which Amanda bought tickets = $218

Jamie bought tickets to the same concert but paid 14% less than Amanda.

Jamie's tickets = [tex]218-14\%\ of\ 218[/tex]

We can solve it as follows :

[tex]218-14\%\ of\ 218=218-\dfrac{14}{100}\times 218\\\\=218-30.52\\\\=\$187.48[/tex]

So, the price of Jamie's tickets is $187.48.

Which one is the correct answer please please.

Answers

Answer:

option 1

plz mark as brainiest

Step-by-step explanation:

Answer:

1/2 (option 1)

Step-by-step explanation:

the equation is in y=mx+b form (slope-intercept form)

y: y-axis

m: slope

x: variable

b: y-intercept

Two​ trains, Train A and Train​ B, weigh a total of 379 tons. Train A is heavier than Train B. The difference of their weights is 255 tons. What is the weight of each​ train?

Answers

Answer: A = 317

B = 61

Step-by-step explanation:

The following equation can be gotten from the question given. This will be:

A + B = 379 ........ i

A - B = 255 ........ ii

From equation i, make A the subject of the formula

A = 379 - B ...... iii

Put the value of A in iii into equation ii

A - B = 255

(379 - B) - B = 255

379 - B - B = 255

379 - 2B = 255

2B = 379-255

2B = 124

B = 124/2

B = 62 tons

Since A + B = 379

A + 62 = 379

A = 379 - 62

A = 317 tons

Will GIVE BRAINLIEST

A ganza is a percussion instrument used in samba music.

a. Find the surface area of each of the two labeled ganzas in terms of π , rounded to the nearest thousandths and as a decimal, round to the nearest whole number.

Surface area of smaller ganza =
π≈
cm2
Surface area of larger ganza =
π≈
cm2
b. The weight of the smaller ganza is 1.1 pounds. Assume that the surface area is proportional to the weight. What is the weight of the larger ganza to the nearest tenth of a pound?

The weight of the larger ganza is about
pounds.

Answers

Answer:

1036.2 sq. cm

Step-by-step explanation:

The surface area of the smaller ganza = 2πr2 + 2πrh

surface area = 2 x 3.14 x 3.5 x 3.5 + 2 x 3.14 x 3.5x 10

surface area = 76.93+ 219.8

surface area = 296.73 sq. cm

The surface area of the larger ganza  = 2πr2 + 2πrh

surface area = 2 x 3.14 x 5.5 x 5.5 + 2 x 3.14 x 5.5x 24.5

surface area = 189.97+846.23

surface area = 1036.2 sq. cm

a. The surface area of the smaller ganza is [tex]296.73cm^{2}[/tex]

    The surface area of the larger ganza is [tex]1036.2cm^{2}[/tex]

b. The weight of the larger ganza is [tex]3.84[/tex] pounds.

Surface area :

From given figure,

Radius of smaller ganza ,[tex]r_{1}=3.5/21.75cm[/tex]

height of smaller ganza, [tex]h_{1}=10cm[/tex]

a. The surface area of the smaller ganza is,

              [tex]S_{1}= 2 \pi r^{2} + 2\pi rh[/tex]

              [tex]S_{1}=2 * 3.14 * 3.5 * 3.5 + 2 * 3.14 * 3.5* 10\\\\S_{1}=76.93+ 219.8\\\\S_{1}=296.73cm^{2}[/tex]

The surface area of the larger ganza

               [tex]S_{2}= 2\pi r^{2} + 2\pi rh[/tex]

               [tex]S_{2}= 2 * 3.14 * 5.5 * 5.5 + 2 * 3.14 * 5.5* 24.5\\\\S_{2}= 189.97+846.23\\\\S_{2} = 1036.2 cm^{2}[/tex]

b. Since, the surface area is proportional to the weight.

and The weight of the smaller ganza is 1.1 pounds.

            [tex]\frac{1.1}{w}=\frac{296.73}{1036.2}\\ \\ w=\frac{1036.2*1.1}{296.73}\\ \\w=3.84[/tex]

Learn more about the surface area here:

https://brainly.com/question/16997207

EXPLAIN why the solution to the absolute value inequality | 4x - 9 | ≥- 12 is all real numbers.

Answers

Answer:

no matter what value you substitute for x, the absolute value will force the result to be a positive number and any positive number is greater than -12

Answer: Since the absolute value of any number is always greater than or equal to zero, then the given inequality holds for every real number.

Explanation: It doesn't matter which number you substitute for x, as the absolute value will convert the number into a positive one, which will always be greater or equal to 0. Hence, every real number can be a possible answer.

prove that,
3(sinθ-cosθ)^4 + 6(sinθ+cosθ)^2 + 4(sin^6θ+cos^6θ) = 13

Answers

Answer:

turyufhgjgjkbx

Step-by-step explanation:

fxv⁴% dgfht56%%475&48

Write an inequality to represent a number is at most two".​

Answers

Answer:

Step-by-step explanation:

X<= 2

Which is x is less than or equal to 2.

Answer:

[tex]n\leq 2[/tex]

Step-by-step explanation:

A class used cars and vans to go on a field trip because all of the buses were already in use. They Used 10 vehicles to go on the trip. Each car holds 5 students and each van holds 13 students. If 82 students went on the trip, then how many of each type of vehicle did the class use?

Answers

Answer:

4 vans, 6 cars

Step-by-step explanation:

6 cars , 4 vans hope it helped

help I will give brainiest it will mean alot. find the scale factor​

Answers

The scale factor is 4 . I assume both pictures are the same

Answer:

Step-by-step explanation:

16:1

For the figure shown on the right, find the value of the variable and the measures of the angles

Answers

Me ayudas por favor con esto es para Hoy por favor es regla de ruffini apretá mi perfil y ve mi pregunta

One inch equals 2.54cm.A ribbon 100in.long is how many cmlong?​

Answers

Answer:

fesgqwa

Step-by-step explanation:

Answer:

254 cm

Step-by-step explanation:

multiply the 100 by the 2.54

ASSESSMENT
Solve for the following problems.
1. 30 is 15% of what number?
2. What is 78% of 100?
3. 8 is what percent of 16?
4. What percent of 35 is 7?
5. 22% of what number is 66?
6. 24% of 300 is what number?
7.12 is 40% of what number?
8. What is 90% of 30?
9.7 is what percent of 14?
10. What percent of 45 is 9?​

Answers

Answer:

1. 200

2. 78

3. 50%

4. 20%

5. 14.52

6. 72

7. 30

8. 27

9. 50%

10. 20%

I hope this helps:D

cómo se calcula las medidas de un rectángulo solo sabiendo cuánto mide el area​

Answers

Is this in Spanish?
Other Questions
Is it varration , overpopulation or adaption On average, sea turtles lay about 110 eggs in a clutch. However, only a fraction of the baby turtles make it to the ocean. Then, an even smaller number have offspring of their own. What is the degree of -8mn^2 Solve for c:c + (-20) = -12 plz plz plz HELP! Based on the values in the table below, find the slope and y-intercept to write the equation of the line in the form y=mx+b Does anyone else answer questions that say they will make you brainliest and then the person never makes you brainleist -_- for the following exercises, identify the type of data that would be used to describe a response (quantitative discrete, quantitative continuous, or qualitative), and give an example of the data.14. distance to the closest movie theater16. number of competing computer spreadsheet software packages Helppppppppppppppppp plzzzzzzzzzzzzzzzzzzzzzz By the time President Roosevelt took office in 1933, what was the unemployment rate? Help, I need this soon! Find the missing value to the nearest hundredth cos=4/38 PLease help with this i will give brainliest Whose atomic theory was the first to introduce the idea that all things are made from indivisible spheres called atoms and used evidence and research to back his findings? * How can an electromagnet be made stronger?A.Add more coils of wire.B.Add an iron core.C.All the above.D.Increase the voltage. What word means playful act ? What was the city of jenne -Jeno like and why was it important [tex]\frac{1}{x {}^{2} - 3 } = \frac{ \sqrt{3} }{x + \sqrt{3} } - \frac{2}{ \sqrt{3} - x } [/tex]can someone please solve this? I NEED HELP NEEDS TO BE DONE IN 10 minsStandard to Slope Intercept FormPut the following equation of a line into slope-intercept form, simplifying all fractions.2x+8y=24 a hypothesis is tested by ___.a. proposing a theory b. conducting an experiment c. making further observationsd. talking with other scientists 6. Which function is equivalent to y=3( x + 2)2 + 7? Brown hair is dominant over blonde hair. Could two brown hair people have a blonde haired kid? ExplainWhat would be the possible offspring phenotypes if two brown hair people did have offspring.