Burt's grandparents started a savings account for him when he was born. They invested
$1250 in an account that pays 7.5% interest every year. How much money is in the
account on Burt's 18th birthday?

Answers

Answer 1

Answer:

4594.76 USD will be in the account on Burt's 18th birthday.

Step-by-step explanation:

Since interest rate is constant in time, we can use the definition of composite interest to determine how much money will be on Burt's 18th birthday, that is:

[tex]C = C_{o}\cdot \left(1+\frac{r}{100} \right)^{t}[/tex] (1)

Where:

[tex]C_{o}[/tex] - Initial amount, measured in US dollars.

[tex]C[/tex] - Current amount, measured in US dollars.

[tex]r[/tex] - Annual interest rate, measured in percentage.

[tex]t[/tex] - Time, measured in years.

If we know that [tex]C_{o} = 1250\,USD[/tex], [tex]r = 7.5[/tex] and [tex]t = 18[/tex], then the money in the savings account on Burt's 18th birthday is:

[tex]C = (1250\,USD)\cdot \left(1+\frac{7.5}{100} \right)^{18}[/tex]

[tex]C = 4594.76\,USD[/tex]

4594.76 USD will be in the account on Burt's 18th birthday.


Related Questions

Guys plz help plz on both plzzzzz

Answers

.12 and .1!!!!!!!!!!

Answer:

The first one is 9/50 and the second one is 1/2

Step-by-step explanation:

you multiply the numerators by each other then you multiply the denominators by each other then you should have your answer :)

please answer this questioncould u please answer this question

Answers

Answer:

3

Step-by-step explanation:

3p - 1 = 5(p-1) -2(7-2p)

(simplify)

3p -1 = 5p-5-14+4p

3p-1 = 9p-19

(make p the subject)

3p-9p = -19+1

-6p = -18

p = -18/-6

p = 3

es 6

Step-by-step explanation:

3p-1=  5p-5-14mas4p

3p-4p-5p= -5-14mas1

3p-4p-5p= -18

3p-9p=-18

_3p=-18

p=-18:-3

p=6

Which relation is a function?
A) {(2,3). (5,8).(-4,-1). (9.7), (2.1)}
B) {(2,3). (5,8).(-4-1). (9.7). (5,7)}
C) {(2,3). (5.8).(-4,-1). (9.7).(-2.1)}
D) {(2,3). (5.8).(-4,-1). (5,7), (-2,1)}

Answers

C would be a function because the x does not repeat

Hope this helps

Have a happy holidays

NEED ASAPPPP

The linear equation below describes the graph of a line.
4x – 3y = -12 Which of these is a point on the graph of the line?

Answers

Answer:

(-3,4)

Step-by-step explanation:

to solve for x, make y=0

to solve for y, make x=0

Well, you didnt give answer choices, BUT go onto desmos and use the graphing calculator to figure it out :)

30 men repair a road in 56 days by working 6 hours daily. in how many days 45 men will repair same road by working 7 hours daily?

Answers

Answer:

Case1:

Men : 30

Work : 1

Time (day×hr): 56×6 = 336 hr.

Case2:

Men : let it be m men.

Work: 1

Time: 45×7 = 315 hr.

Work being constant in both cases, men and time are in inverse proportion i.e, more men take less time.

Product of men and time is constant in both cases.

Therefore, 30×336=m×315

Or, 30×336/315 = m

Or, m = 32.

Hence, required number of men is 32.

Step-by-step explanation:

If r is the radius of a circle and d is its diameter, which of the following is an
equivalent formula for the circumference C = 2 pie r?

A. C= pie d
B. C= 2 pie d
C. C=2 pie d^2
D. C = 2 pie rd

Answers

Answer:

A

Step-by-step explanation:

because r is 1/2 of d so you would have 1 d instead of 2 r

5(x + 4) help plssssss

Answers

Answer:

5x + 20

Step-by-step explanation:

5(x +4)

= 5x + 20

multiply x + 4 by 5

what’s the quotent of -3/8 and -1/4

Answers

Answer:

1.5

Step-by-step explanation:

-3/8=-0.375

-1/4=-0.25

the negatives cancel each other out so it is 0.375/0.25

.25 goes into .375  1.5 times, so the answer is 1.5

Have a good day!

1.5

It needs to be 20 characters long so I’m just putting this so I can actually submit. The other guy already out the explanation so I’m proud of you and just tryna get points. Anyways the calculator is always available too if you need it

please help me with the question ​

Answers

Answer:

The right answer is Option 2:

[tex]y+6 = -\frac{3}{4}(x-2)[/tex]

Step-by-step explanation:

Point-slope form of equation of a line is given by:

[tex]y-y_1 = m(x-x_1)[/tex]

Here m is slope of the line and (x1,y1) is the point from which the line passes.

Given

Slope = m = -3/4

Point = (x1,y1) = (2,-6)

We simply have to put these value into the general form of equation of line in point-slope form

[tex]y-(-6) = -\frac{3}{4}(x-2)\\y+6 = -\frac{3}{4}(x-2)[/tex]

Hence,

The right answer is Option 2:

[tex]y+6 = -\frac{3}{4}(x-2)[/tex]

Raj polled 100 students in his class to compare the number of hours that boys and girls played video games each week. The results of his survey are shown below. Which gender shows greater variability in their playing time?

Hours of Video Game Time per Week for Boys
A box-and-whisker plot. The number line goes from 0 to 28. The whiskers range from 0 to 28, and the box ranges from 9 to 17. A line divides the box at 14.5.

Hours of Video Game Time per Week for Girls
A box-and-whisker plot. The number line goes from 0 to 28. The whiskers range from 0 to 28, and the box ranges from 3 to 15. A line divides the box at 6.
Boys show greater variability because the 3rd quartile for boys is 17 but only 15 for girls.
Boys show greater variability because the median playing time for boys is 14.5 but only 6 for girls.
Girls show greater variability because the interquartile range for girls is 12 for girls but only 8 for boys.
Girls show greater variability because the data for the girls is skewed toward the lower end of the box plot.

Answers

Answer:

c is the correct answer i took the test

Step-by-step explanation:

The gender that shows greater variability in their playing time is C. Girls show greater variability because the interquartile range for girls is 12 for girls but only 8 for boys.

How to find the interquartile range?

For the males, the interquartile range will be:

= Third quartile - First quartile

= 17 - 9

= 8

For the females, the interquartile range will be:

= Third quartile - First quartile

= 15 - 3

= 12

Therefore, girls show greater variability because the interquartile range for girls is 12 for girls but only 8 for boys.

Learn more about interquartile range on:

https://brainly.com/question/4102829

#SPJ2

Substitute it please!!

Answers

y=1-i

x=-3/2-i/2

thats what it should be

What is w²+2xy if x= - 3, w= - 2, and y=1?

Answers

first, plug the numbers into the equation:

(-2)^2+2(-3)(1)

then do your exponents:
-2 times -2 = 4
4+2(-3)(1)

multiply and add:
4+-6

answer:
-2

Answer:

-10

Step-by-step explanation:

w2 is -2x-2

2xy is getting times together -3x1

has a business selling perfume at the mall. Currently his business has a
balance of -$20.
Which amounts of sales would give Mason's business a positive balance?
Choose ALL that apply.
$29
$19
$21
$30
$35
$15

Answers

Answer:

$29, $21, $30, $35

Step-by-step explanation:

the amounts had to be larger than $20 because he owes money and needs more inorder to have gained money

The sum of two numbers is 23. The larger number y is 1 less than twice the smaller number x. Write and solve a system of linear equations to find the two numbers.

Answers

Answer:

15 and 8

Step-by-step explanation:

Abby spent 22 minutes working on her science project yesterday 34 minutes working on today. how many minutes did Abby spend working on her science project altogether

Answers

The number of minutes that Abby spend working on her science project altogether is 56 minutes.

How to calculate the value?

From the information, Abby spent 22 minutes working on her science project yesterday and 34 minutes working on today.

Therefore, the time used altogether will be the addition of the time used for both occasions

= 22 minutes + 34 minutes

= 56 minutes

This illustrates addition.

Learn more about time on:

brainly.com/question/26046491

#SPJ1

Plz, Help me with this question.

Answers

Answer:

first option

Step-by-step explanation:

Given

area = 15x - 9 ← factor out 3 from each term

       = 3(5x - 3)

Thus the dimensions are 3 by (5x - 3)

The answer is the first option. When u take three out of the dimensions it gives you (5x-3)

Pls help im like 5 hrs behind in math

Answers

Answer:

The composite area is a total of 62 square inches.

Step-by-step explanation:

You're given three rectangles of different width and height.  To find the correct answer, you need to find the sum of each rectangles' area.

first though we need to find the height of the middle rectangle.  We are told the total height and the other two rectangles' heights, so we just need to subtract the others' heights from the total:

10 - (4 + 1.5)

10 - 5.5

= 4.5

So the middle rectangle is 4x4.5 inches, giving it an area of 18 square inches

The top one is 8x4 inches for a total of 32 square inches.

And the bottom one is 1.5x8 inches, for a total  12 square inches.

If we add them all up, that's 18 + 32 + 12 square inches, or 62 square inches.

Kayla won 37 super bouncy balls
playing hoops at her school's game night
Later, she gave two to each
of her friends. She only has 7
remaining. How many friends does she have?

Answers

Answer:

15 friends

Step-by-step explanation:

37 - 7=30 so then you divide 30 by 2 which equals 15 so there is your answer.

PLS ANSWER
Which number line represents the solutions to-2|x| =-6?
o
-8
8

Answers

1 is the correct answer my guy

Help me classify the triangles by its sides and measuring its angles :)

actually answer this ​

Answers

Answer:

1. isosceles

2. Right

Step-by-step explanation:

Here, we want to give the kind of triangle in each of the diagrams

1. From what we can see, we have two sides equal to each other using the given markings. More specifically, the base sides are equal and that makes the triangle an isosceles triangle

2. From what we can see here, we have an angle of 90 degrees on one of the sides of the triangle. In other words, we have a right angle on one of the sides.

This makes the triangle, a right triangle

please help me !!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

20

Step-by-step explanation:

15 is the mid so +5 is 20 thus 20 is the anser

In the diagram below of triangle ABC, DE is parallel to AC. IF AD = 20, DB = 10 and AC = 33, find DE.​

Answers

Answer:

11

Step-by-step explanation:

It's proportions my son.

x / 33 = 10 / 30

It's 10/ 30 because the whole BA is 30 in total

Then cross multiply.

30x = 330

x = 11

what is the bill for 10 day rental b = 45.95d + 38.5

Answers

Answer:

b = 498

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

b = 45.95d + 38.5

d = 10 days

Step 2: Evaluate

Substitute:                    b = 45.95(10) + 38.5Multiply:                        b = 459.5 + 38.5Add:                              b = 498

Answer:

498 dollars

Step-by-step explanation:

So just plug in the 10 in the equation for D

45.95*10+38.5

Now just solve using order of operations

You would get 498

7. 3, 19 25..
Find the formula for the nth term of the following sequence

Answers

Answer:

a+(n-1)d is the formula to calculate

Plz help with math plzlzlzlzl

Answers

2 -8 and -13 is the answer

D is 13. What is the length of the line.

Answers

Answer:

D

Step-by-step explanation:

You have to use pythagorean theorem to solve this.

Answer:

D

Step-by-step explanation:

use pytherogream theory

sides, 5 and 12

pytherogream triple 5, 12, 13

helpppppppppppppppppp ​

Answers

The 1st option is correct.

Answer:

m/15=-3

Step-by-step explanation:

When you see quotient it means to divide

is means equal

I hope this helps

A circular mirror measures 24 cm in diameter.
The cake is cut in half. Work out the perimeter of half of the mirror.

Answers

Answer:

The perimeter or circumference of a half mirror = 37.68 cm

Step-by-step explanation:

The diameter of circular measure = 24 cm

We know that the perimeter of a circular shape is called the 'circumference', with the formula

Circumference of a circle = C = 2πr

When the mirror is cut into half, the diameter gets half as well.

Thus, the diameter of a half mirror = 24/2 = 12 cm

We know that radius = r = diameter / 2 = 12/2 = 6 cm

Thus, the perimeter of half of the mirror  = C = 2πr

                                                                           = 2(3.14)6

                                                                            = 37.68 cm

Therefore, the perimeter or circumference of a half mirror = 37.68 cm

Classify the triangle. Check all that apply

Acute
Obtuse
Right
Scalene
Isoceles
Equilateral
Equiangular
None of the above

Answers

Answer:

The answer is Right because of the tiny square in the right corner and scalene because none of the three sides are equal in length.

Step-by-step explanation:

I hope this helps!

ABCD is a rectangle. Find the mCED

Answers

Answer:8.5...

Step-by-step explanation:

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