A mother invests $7000 in a bank account at the time of her daughter's birth. The interest is 18) compounded quarterly at a rate of 8%. What will be the value of the daughter's account on her twentieth birthday, assuming no other deposits or withdrawals are made during this period?

Answers

Answer 1

well, from birth to your twentieth birthday that'll just be 20 years, so

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$7000\\ r=rate\to 8\%\to \frac{8}{100}\dotfill &0.08\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &20 \end{cases} \\\\\\ A=7000\left(1+\frac{0.08}{4}\right)^{4\cdot 20}\implies A=7000(1.02)^{80}\implies A\approx 34128.07[/tex]


Related Questions

5 Vera is a shop manager. 5 She has this information about the income in her shop for eight weeks this year. Week 1 2. 3 4 5 6 7 8 Income (thousands of £) 53.5 42.3 39.8 45.1 52.4 19.4 47.9 42.5 The median income for the same eight weeks last year was £49 300 Vera knows that the median income for these eight weeks has decreased this year compared to last year. (a) Work out the percentage decrease of the median income. Give your answer to 2 decimal places. ​

Answers

Using the median concept, it is found that it suffered a 11.16% decrease.

What is the median of a data-set?

It is the 50th percentile of the data-set, which is the value that separates the lower 50% from the upper 50%.

In this problem, the ordered data-set, in thousands of £, is given by:

{19.4, 39.8, 42.3, 42.5, 45.1, 47.9, 52.4, 53.5}

It has even cardinality, hence the median is the mean of the 8/2 = 4th and 5th terms, so:

M = (42.5 + 45.1)/2 = £43800.

It decreased from £49300 last year. The percentage decrease is the change divided by initial amount and multiplied by 100%, hence:

P = (49300 - 43800)/49300 x 100% = 11.16%.

More can be learned about the median concept at https://brainly.com/question/25215461

What is 1 + 1 x 2 Whoever answers it gets brainiest

Answers

Answer:

It's equals 3

Step-by-step explanation:

1 + 1 x 2=3

Answer:

3

Step-by-step explanation:

PEMDAS --> Multiply and divide (left to right) (1 x 2 = 2)

Add and subtract (left to right) (1 + 2 = 3)

The area of a rectangular wall of a barn is 160 square feet. Its length is 12 feet longer than the width. Find the length and width of the wall of the barn.

Answers

Answer:

Length: 20 feet
Width: 8 feet

Step-by-step explanation:

20 is 12 feet longer than 8

20 x 8 = 160


Let R(x) =X-3/x-4. Solve for R(x) <= 0.


Answers

The value of x in the function r(x) = x - 3/x-4 is equal is 3.

To solve this problem, all that is required from us is simply substitute the values and solve for the value of x.

Data;

R(x) = x-3/x-4R(x) = 0What is a Function?

A function from a set A to a set B assigns to each element of A exactly one element of B. The set A is usually the domain of the function while the set B is the codomain of the function.

Given that the function R(x) is

[tex]R(x) = \frac{x-3}{x-4}[/tex]

And also, R(x) is equal to 0.

[tex]R(x) = \frac{x-3}{x-4}\\ 0= \frac{x-3}{x-4} \\0(x-4) = x - 3\\0 = x- 3\\x = 3[/tex]

The value of x in the function is 3.

Learn more on functions here;

https://brainly.com/question/1214333

1. (07.01 LC)
What is the value of x in the equation -6 + x = -1? (5 points)
-5
-7
7
5

Answers

Answer: the value of x = 5


A quadrilateral has angles
measuring 105°, 80°, and 80°.
What is the measure of the fourth
angle?

Answers

Answer:

95 degrees

Step-by-step explanation:

The sum of the measures of a quadrilateral is 360 degrees.  360-105-80-80 = 95 degrees

105+80+80=265
360-265=95

Hope this helps:)

8. Triangle JKL is located at J(4,5) K17, 1) L(1,
1). A transformation occurred and now the
triangle is located at J(-4,5) K(-7,3)
L(-1, 1). What transformation occurred?

Answers

Answer:

a bit of a room for the television and then we you too I am really sorry for the television and then we you too I love you too I will be there in about you guys see you tomorrow at 7 in the middle to buy a house in the middle of the night guys see you tomorrow at 7 in the middle of the night

Pls help me what’s the answer

Answers

Answer:

the answer is D...... ..........

Answer:

226,080 cm3

Step-by-step explanation:

Help help help help help

Answers

Answer:

y = -1x + 7

Step-by-step explanation:

Slope intercept formula: y = mx + b

m = slope

b = y-intercept

Given:

slope = -1

y-intercept = 7

Substitute the given values into the slope-intercept formula: y = mx + b

y = -1x + 7

hope this helps!! p.s. i really need brainliest :)

y=-1x+y

Mx+b
m equals the slope y equals the intercept

The sum of the digits of a two-digit number is 11. When the digits are reversed, the new number is 27 more than the original number. Find the original number. Check your answer.
The original number is 83.
The original number is 47.
The original number is 74.
The original number is 38.

Answers

Answer:

The original number is 47.

Step-by-step explanation:

A and C when reversed make a number less than the original value.

D when reversed makes 83 which is 45 more than 38, the original number.

C, when reversed, gives 74 which is 24 more than 47, the original value.


Please mark as brainliest!

Side note:

All number's digits add up to 11.

A triangle has an area of 48 square centimeters. The height of the triangle is 6 centimeters. What is the base of the triangle?

Answers

Question :-

A Triangle has an Area of 48 cm² . The Height of the Triangle is 6 cm . What is the Base of the Triangle ?

Answer :-

Base of Triangle is 16 cm .

Explanation :-

As per the provided information in the given question, we have been given that the Area of Triangle is 48 cm² . It's Height is given as 6 cm . And, we have been asked to calculate the Base of Triangle .

For calculating the Base of Triangle , we will use the Formula :-

[tex] \bigstar \: \: \: \boxed{ \sf{ \: Area \: _{Triangle} \: = \: \frac{1}{2} \: \times \: B \: \times \: H \: }} [/tex]

Where ,

B denotes to the Base .H denotes to the Height .

Therefore , by Substituting the given values in the above Formula :-

[tex] \dag \: \: \: \sf { Area \: _{Triangle} \: = \: \dfrac{1}{2} \: \times \: Base \: \times \: Height } [/tex]

[tex] \longmapsto \: \: \: \sf {48 \: = \: \dfrac {1}{2} \: \times \: Base \: \times \: 6 } [/tex]

[tex] \longmapsto \: \: \: \sf {48 \: \times \: 2 \: = \: 1 \: \times \: Base \: \times \: 6} [/tex]

[tex] \longmapsto \: \: \: \sf {96 \: = \: 1 \: \times \: Base \: \times \: 6} [/tex]

[tex] \longmapsto \: \: \: \sf {96 \: = \: 6 \: \times \: Base } [/tex]

[tex] \longmapsto \: \: \: \sf {Base \: = \: \dfrac {96}{6} } [/tex]

[tex] \longmapsto \: \: \: \textbf {\textsf {Base \: = \: 16 \: cm}} [/tex]

Hence :-

Base of Triangle = 16 cm .

[tex] \underline {\rule {180pt} {4pt}} [/tex]

Question : -

A triangle has an area of 48 square centimetres. The height of the triangle is 6 centimetres. What is the base of the triangle ?

Given : -

Area of triangle = 48 cm²

Height of triangle = 6 cm

To Find : -

Base of triangle

Formula Used : -

[tex] \blue{\boxed{Area \: of \: triangle = \frac{1}{2} \times b \times h}}[/tex]

Where ,

b = Base of triangle

h = Height of triangle

Concept : -

In this question the concept belongs to the areas of two dimensional shapes i.e. how we can find length , breadth or height with the help of given area .

So let's get started : -

[tex] \longmapsto \: 48 = \frac{1}{2} \times b \times 6[/tex]

Now , transposing 2 to left hand side :

[tex] \longmapsto \: 48 \times 2 = 1 \times b \times 6[/tex]

Now , multiplying 48 with 2 and multiplying b with 1 and 6 :

[tex] \longmapsto \: 96 = 6b[/tex]

Now , transposing 6 to left hand side :

[tex] \longmapsto \: \cancel\frac{96}{6} = b[/tex]

Now , by cancelling them we get :

[tex] \longmapsto \: \red{ \boxed{ \sf{b = 16 \: cm}}}[/tex]

Therefore , base of triangle is of 16 cm

Verifying : -

We know that area of triangle is equal to 48 cm². So :

[tex] \rightarrow \: \frac{1}{ \cancel2} \times \cancel{16} \times 6 = 48[/tex]

Now , by cancelling 16 with 2 we get :

[tex] \rightarrow \: 8 \times 6 = 48[/tex]

So , by multiplying we get :

[tex] \rightarrow \: 48 = 48[/tex]

That means :

[tex] \rightarrow \: L.H.S = R.H.S[/tex]

Hence , Verified .

Therefore, our answer is valid .

#Keep Learning

Need assistance on this problem

Answers

Answer:

The height of the tower should be 120 m

Step-by-step explanation:

What is the value of x in the equation –2.4x = 8.4?

Answers

Answer:

x=  3.5

Step-by-step explanation:

2.4 x= 8.4

x= 8.4 /2.4

x=  3.5

Answer:

X= -3.5

Step-by-step explanation:

You are trying to find what x is, and x is being multiplied with -2.4. The easiest way to find the answer is to divide 8.4 by -2.4. This way, you will get your answer of -3.5. Because two negatives make a positive when you multiply, 8.4 is not negative.

How I solved this.

-2.4x = 8.4

8.4=total

-2.4= Needs to be multiplied with x

x=?

8.4/-2.4=-3.5

Check your work:

-2.4(-3.5)=8.4

Final answer:

x= -3.5

I hope this helps!

-No one

PLEASE HELP I WILL GIVE BRIANLIEST

Answers

Answer:

T. Perimeter

Step-by-step explanation:

Solve the problem 4747+38383

Answers

Answer:43,130Solution:

4747+38383=43,130

Answer:

4747

+38383

=43130 that is my answer

Write an equation that best describes the pattern in the table
а
a
1
0 1
2
1
1
24-
58
2
2
b
0
3
4.
9
10 17

Answers

Answer:

not sure about the equation or answer

does anybody know how to do this please help meee

Answers

Answer:

A

Step-by-step explanation: I believe it's A because It's the opposite but I'm not 100% certain, because I don't remember inverse statements.

what is 65% of (102/2)

Answers

Answer:

33.15

Step-by-step explanation:

65% is 0.65

102/2=51

0.65*51=33.15 which is the answer

There are two boys and a girl on a trivia team. Two questions remain. One team member is randomly picked to answer the first question and a different member is picked to answer the second question.

Answers

Answer:

There are two boys and a girl on a trivia team. Two questions remain. One team member is randomly picked to answer the first question and a different member is picked to answer the second question.

Step-by-step explanation:

A shop sells pairs of trainers for £68 each. They make a percentage profit of 70% on each pair.
What was the cost of each pair of trainers to the shop?

Answers

Answer:

70% of £68 gives £47.6 for each trainer

Answer:

100-70/100 *£68

Step-by-step explanation:

£40.8

therefore, each pair of trainers cost£40.8

Find the value of the expression.

Answers

[tex]( (\frac{3}{5}) {}^{0} ) {}^{ - 2} = (1) {}^{ - 2} = \frac{1}{1 {}^{2} } = \frac{1}{1} = 1[/tex]

Find the value of x. 3 X 6 x = [?] = Give your answer in simplest form. Enter.​

Answers

Answer: 12

Step-by-step explanation:

Answer:

x

Step-by-step explanation:

We can find the value of x using Euclidian theorem:

6^2 = 3*x

36 = 3x divide both sides by 3

12 = x

will give brainliest but it Has to be correct.
Measure the thumbtack to the nearest inch.
6/8 inches
7/8 inches
3/8 inches
5/8 inches

Answers

Answer: 6/8 inch

Step-by-step explanation:

You invested $8,307 into stocks of a company that were priced at $12.75/sh. You decide to sell the stock. What is the sale amount if the stock is selling at $11.95/sh?

Answers

8307 divided by 12.75 is about 651.53
651.53 x 11.95 is about $7785.78

Urgent need please hurry

Answers

52 because because the triangle is 80 degrees

A line passes through the point (3,-6) and has a slope of -4

Write an equation in point-slope form for this line

Answers

Answer:

step by step explanation

please see photo

Maria rolls a regular number cube with sides labeled 1 through 6. How many possible outcomes are there?

Answers

The answer would be 6. One for each side

Find, to the nearest tenth, the area of a triangle ABC if angle B = 35o, a = 12 m and c = 17m.

Answers

Answer:

Area of triangle = 1/2 of base × height

Area of triangle = 1/12 of 12×17

Area of triangle = 102m²

Multiply: (−1rs2)(35s2)

Answers

Answer:

-35rs^4

Step-by-step explanation:

hello :

(−1rs²)(35s²)= (-1)(35)(s^4)r = -35rs^4

Borrow 1 from the whole number part to rewrite 8 10/24

Answers

7 34/24. Hope this helps!
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