Mathematics High School

Lydia invested $83,000 in an account paying an interest rate of 6.7% compounded
monthly. Assuming no deposits or withdrawals are made, how long would it take, to
the nearest year, for the value of the account to reach $210,100?

Answers

Answer 1

Answer:

14

Step-by-step explanation:

 

Answer 2

The required time for Lydia's account to reach $210,100 is 13.9 years.

What is compound interest?

Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.

First, convert R as a percent to r as a decimal

r = R/100

r = 6.7/100

r = 0.067 per year,

Then, solve the equation for t

t = ln(A/P) / n[ln(1 + r/n)]

t = ln(210,100/83,000) / ( 12 × [ln(1 + 0.067/12)] )

t = ln(210,100/83,000) / ( 12 × [ln(1 + 0.0055)] )

t = 13.9 years

Thus, the required time for Lydia's account to reach $210,100 is 13.9 years.

Learn more about compound interest here: https://brainly.com/question/14295570
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Related Questions

HELP ON A TIMER

WHAT IS THE x-intercept of the graph?

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It is 6 just look at the x

Help pls I need it now

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Answer:

a). 4 + 9x + 17 + 15x

b) 21 + 24x

Step-by-step explanation:

Here, we want to write expressions for the perimeter

Mathematically, this is the sum of the length of the sides

We have this as

a)

4 + 9x + 17 + 15x

b) = 4 + 17 + 9x + 15x = 21 + 24x

Fill in the blanks. (With picture) 15 pts

(Simplify your answers. Use integers or fractions for any numbers in the expressions.

Answers

Given:

The expression is:

[tex]\left(\dfrac{11}{19}n-8\right)+\left(\dfrac{1}{19}n+10\right)=\left(\_\_\_+\dfrac{1}{19}n\right)+\left(-8+\_\_\_\right)[/tex]

                                          [tex]=\_\_\_n+\_\_\_[/tex]

To find:

The missing values.

Solution:

We have,

[tex]\left(\dfrac{11}{19}n-8\right)+\left(\dfrac{1}{19}n+10\right)[/tex]

It can be written as

[tex]\left(\dfrac{11}{19}n-8\right)+\left(\dfrac{1}{19}n+10\right)=\left(\dfrac{11}{19}n+\dfrac{1}{19}n\right)+\left(-8+10\right)[/tex]

So, the values for the first two boxes are [tex]\dfrac{11}{19}n[/tex] and 10 respectively.

On simplification, we get

[tex]\left(\dfrac{11}{19}n-8\right)+\left(\dfrac{1}{19}n+10\right)=\left(\dfrac{11+1}{19}n\right)+\left(2\right)[/tex]

[tex]\left(\dfrac{11}{19}n-8\right)+\left(\dfrac{1}{19}n+10\right)=\dfrac{12}{19}n+2[/tex]

So, the values for third and fourth boxes are [tex]\dfrac{12}{19}[/tex] and 2 respectively.

Look at the three dimensional solid below

Answers

Answer:

A.

Step-by-step explanation:

Answer: A

Step-by-step explanation:

find the slope between points (3, 1) and 3, -2)​

Answers

Answer:

3

Step-by-step explanation:

A gym charges an initial fee plus $25 per month. John paid $200 for six months. Assume the relationship is linear.

a.What is the rate of change and what does it mean in context to the situation?
b. What is the initial value and what does it mean and context to the situation?

i will give brainliest!!!!!

Answers

Step-by-step explanation:

a. The rate of change is $33.33 per month

200/6 = approximately $33.33 per month

This means that in addition to the initial fee, Josh has to pay $33.33 per month for the gym membership.

b. The initial value is $25. This is a constant value and a one time fee to open and attain a gym membership.

If 48% of the students in a certain college are female and there are 2,400 female students, how many students are male?

Answers

Answer:

2,600 male students

Step-by-step explanation:

[tex]\frac{2,400}{0.48} = 5,000[/tex]

There are 5,000 students in total.

Since 2,400 of them are female, the remaining students must be male.

5,000 - 2,400 = 2,600 male students

Tom drives 200 miles in 4 hours.
He drives the first 32 miles at an average speed of 64 mph
Work out his average speed for the rest of the journey, in mph.
Please help??

Answers

His average speed for the rest of the journey was of 48mph.

if tom is driving 200 miles in 4 hours... and drives the first 32 miles in half an hour... his speed for the rest of the trip would most likely be 48 mph because 3.5 hours are left and 168 miles are left and when you divide that it comes out to 48.

THE COFFICENT OF y in term -y /3 is

Answers

Answer:

-1/3

Step-by-step explanation:

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Answer:

-1/3

Step-by-step explanation:

a NYC street vendor spends $75 a day on supplies it cost the vendor $0.50 to make a pretzel the vendor sells each 3 dollars ​

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Answer:

very unclear picture, and unclear question. is that really how it's worded?

Step-by-step explanation:

Jacob is playing a game where he earns 3 points for a correct answer and loses 2 points for an incorrect answer. He currently has –6 points. What situation would end with him breaking even?

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Answer:

definetely not a pog champ :)

Step-by-step explanation:

No not a chump dog.

Which planet in the chart is most likely Earth? Yeah
Does somone no the answer

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Answer:

Kepler-452b has a probable mass five times that of Earth, and its surface gravity is nearly twice as Earth's, though calculations of mass for exoplanets are only rough estimates. If it is a terrestrial planet, it is most likely a super-Earth with many active volcanoes due to its higher mass and density.Step-by-step explanation:

how many inches are in 3 yards​

Answers

Answer:

108

Step-by-step explanation:

36 inches in a yard

12 inches in 1 foot, 3 feet in 1 yard.

12 * 3 = 36, 36 * 3 = 108

108 inches in 3 yards

Hope this helps!

Identify the vertex for the graph of y = -2x2 - 12x +1. (1 point)
O (-3, 19)
0 (-3,55)
(3, -53)
(3, -47)

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Answer:

(-3, 19)

Step-by-step explanation:

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And show identity. Thank you:)

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Answer:

see the formula in book

Step-by-step explanation:

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Can someone explain this to me please will give brainliest
Bill's new porch is rectangular, with an area of 50 square feet. If the length of the porch is two times the width, what is the perimeter of the porch?
A.30
B.40
C.50
D.60

Answers

the answer is A. for this, you have to set up a system of equations. the first one will be the area equation. since you know area=length x width, your equation will be LxW=50. the next equation is L=2W, since the length is two times the width. then, plug in 2W for the L in the other equation and you get 2W^2=50. divide by 2 and get W^2=25. square root both sides and you get W=5. plug back into the other equation to find L=10. Then, add the sides of the rectangle for the perimeter. 10+5+10+5=30.

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Answers

Answer:

12

Step-by-step explanation:

Remember, when you add two same symbols, the outcome will be positive.

- + - = +

- + + = -

+ - + = +

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y=34 but i’m not sure i hope it’s right luv. N E WAYZ , GOOD DAY IN MY MIND SAFE TO TAKE A STEP OUT

A researcher posts a newspaper advertisement offering $10 in exchange for participation in a short study. The researcher accepts the first 10 people who respond to the advertisement. Which of the following statements is true about the sample? (5 points) It is not a valid sample because it is only a short study. It is a valid sample because money is offered to participants. It is a valid sample because the first 10 people were selected to participate. It is not a valid sample because it is not a random sample of the population.

Answers

Answer:

the third one

Step-by-step explanation:

do you need and explanation

The price of a gallon of unleaded gas was 2.84 yesterday. Today, the price rose to 2.90 . Find the percentage increase. Round your answer to the nearest tenth of a percent.

Answers

Answer:
102.1%
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(50Pts) When using the vertical method to multiply polynomials, your like terms must be lined up in ____________.

descending order
ascending order
columns
rows

Answers

I think you line them up in columns

Answer:

C. Columns

Step-by-step explanation:

It's correct, I took the test and got it right.

Harold is designing a patio with congruent square concrete tiles. He has 72 tiles. Use grid paper to model all the possible rectangular patios Harold could build. Label the dimensions in units. Which patio has the greatest perimeter? The least perimeter?

Answers

Answer:

(a) The possible dimensions are:

1 unit by 72 units;  2 units by 36 units;  3 units  by 24 units; 4 units by 18 units; 6 units by 12 units; 8 units by 9 units

(b): Patio with greatest and the least perimeter

The dimension with the greatest perimeter is: 1 by 72

The dimension with the least perimeter is: 8 by 9

Step-by-step explanation:

Given

[tex]Tiles = 72[/tex]

Solving (a): Possible rectangular models

To do this, we simply list out the possible factor pairs of 72.

So, we have:

1 unit by 72 units;  2 units by 36 units;  3 units  by 24 units; 4 units by 18 units; 6 units by 12 units; 8 units by 9 units

Solving (a): Models with the least and the greatest perimeter

Perimeter (P) is calculated using:

[tex]P = 2 * (L + W)[/tex]

So:

1 unit by 72 units;  

[tex]P = 2 *(1 + 72) = 146 units[/tex]

2 units by 36 units;  

[tex]P = 2 *(2 + 36) = 76 units[/tex]

3 units by 24 units;

[tex]P = 2 *(3 + 24) = 54 units[/tex]

4 units by 18 units;

[tex]P = 2 *(4 + 18) = 44 units[/tex]

6 units by 12 units;

[tex]P = 2 *(6 + 12) = 36 units[/tex]

8 units by 9 units

[tex]P = 2 *(8 + 9) = 34 units[/tex]

From the calculations above:

The dimension with the greatest perimeter is: 1 by 72

The dimension with the least perimeter is: 8 by 9

Find the greatest common factor of 12c^3 and 20n^4​

Answers

Answer:

4

Step-by-step explanation:

Find the prime factors of each term in order to find the greatest common factor.

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Measure Math | Welcome, HAILEE KNOTT
What is another way to write 15 divided by 2?
15
O 15+2
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Answers

Answer: [tex]15\times\frac{1}{2}[/tex]

Explanation:

Multiplying by 1/2 is the same as dividing by 2.

For example, if you have 10 slices of cake and 2 friends, then each friend gets 10/2 = 5 slices. We could also say [tex]10\times \frac{1}{2} = 5[/tex]

The fraction 1/2 converts to the decimal form 0.5, which means [tex]10 \times \frac{1}{2} = 10*0.5[/tex]

Monique bought 3 boxes of cereal at the grocery store. Each box of cereal costs c dollars. Which equation represents the total amount of money, t, Monique spent on cereal?

Answers

Answer:

3c = t

Step-by-step explanation:

3 cereal boxes is 3c and the total is t. so 3c = t

Answer:

3c = t

3 is the amount of boxes, c is the money, therefore, it is 3c=t, which means c times the number of boxes equals t

HELP ME PLEASE!! I DON’T KNOW WHAT I’M DOING

Answers

41u+6

 

Sorry I don't really know anything about this subject.            

As shown in the diagram below, the radius of a cone is 2.5 cm and its slant height is 6.5 cm

Answers

Answer:

multiple but if that dont work ion know what to tell you

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Answers

8*22 = 22*8

Hope this helps!

i have i need to use the substitution method to work out what x and y is
5y−2x=10
8x+5y=60

Answers

Answer:

pick the simplest of the 2 equations

Step-by-step explanation:

5y-2x=10

5y = 2x +10

y = 2/5x + 2

now substitute

8x + 5(2/5X +2)=60

8x + 2x + 10 = 60

10x = 50

x = 5

y = 4

X=5
Y=4
Did u want the answer of the method?
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