4. On the day Alex was born, his father invested $5000 in an account with a 1.2% annual growth rate.
Answer the questions below.
(a) Write a function, A(t), that represents the value
of this investment t years after Alex's birth.
(b) Use your equation to determine how much the
investment will be worth when Alexander turns
21

Answers

Answer 1

Answer and Step-by-step explanation:

A)    A(t) = 5000(1 + 0.012)t

B)    A(t) = 106260

A) 5000 is the initial amount, 1 + 0.012 is the interest rate, and t represents the years.

B) When we plug 21 into the equation,  we get 106260.

I hope this helps!


Related Questions

x^(2)+16x+28=0 complete the square

Answers

Answer:

(x + 8)² = 36

Step-by-step explanation:

When you are trying to complete the square and the equation already has a constant, you add or subtract that value to the other side of the equation so you can cancel it out.

x² + 16x + 28 = 0

x² + 16x + 28 - 28 = 0 -28

x² + 16x = -28

Now, you find ([tex]\frac{b}{2}[/tex])² (divide b by 2 and raise the quotient to the second power). Half of 16 is 8, and 8² is 64. Add 64 to both sides.

x² + 16x + 64 = -28 + 64

x² + 16x + 64 = 36

Now, you just factor the equation on the left. To factor it, you will always use the number you got to make the constant, which in this case is 8.

(x + 8)² = 36

what is the value of the number in the thousandths place 7.819

Answers

9 is in the thousandths place

Answer:

the value of the number in the thousandths place is 9

Step-by-step explanation:

No calculator!

HELP ASAP PLEASE !!!><
WILL GIVE BRAINLIEST ❤️


Find the slope of the line passing through the given points using the slope formula. Describe the slope as
positive, negative, zero, or undefined.
(-5, -18) and (-5, -3)

Answers

the slope is 15/0 so your line would be zero

Answer:

Your slope would be undefined

-[tex]\frac{-3-(-18)}{-5-(-5\\} \\[/tex]

the -5-(-5) is cancelling it's self out

And i believe M=0.75 take this with a bit of salt  

number of boys and girls are in the class are in the ratio of 7 : 5 the number of boys is 8 more than the number of girls what is a total class strength?​

Answers

Answer:

Step-by-step explanation:

Given ratio of boys and girls in the class =7:5

No of boys is 8more than the girls

So

Let no of boys in the class =7x

No of girls in the class=5x

7x=5x+8

2x=8

X=8/2

X=4.

Total strength =no of boys + no of girls

=7x+5x

=7×4+5×4

= 28+20

=48.

Total strength in the class is 48.

Answer:

Total class strength = 48

Step-by-step explanation:

Boys : Girls = 7 : 5

Number of boys  = 7x

Number of girls = 5x

7x - 5x = 8

      2x = 8      

       x = 8/2

       x = 4

Total strength = 7x + 5x = 12x = 12*4  = 48

WILL GIVE BRAINLIEST IF CORRECT

Given the following vectors in component form: r= (2,3) s= (5,-3) t= (-8,6) Check all expressions whose sum represents the same vector as (r+s)+t

Answers

Answer:

Step-by-step explanation:

< 7, 0 > + < - 8, 6 >

< 2, 3 > + < - 3, 3 >

< - 6, 9 > + < 5, - 3 >

If r= (2,3) s= (5,-3) t= (-8,6) then (7,0)+(-8,6) ,(2,3)+(-3,3) and (-6,9)+(5,-3) are equal to (r+s)+t

What is vector ?

Vector is a quantity with magnitude and direction .

Given vectors in component form are

r=(2,3) ,s=(5-3) , t =(-8,6)

We can calculate (r+s) as

(2,3)+(5,-3)

=(2+5,3-3)

=(7,0)

Now we can calculate (r+s)+t as

(7,0)+(-8,6)

(7-8,0+6)

(-1,6)

(a)

(0,7)+(-8,6)

=(-8,1)

Not equal to (r+s)+t

(b)

(7,0)+(-8,6)

=(-1,6)

equal to (r+s)+t

(c)

(2,3)+(-3,3)

=(-1,6)

equal to (r+s)+t

(d)

(2,3)+(3,-3)

=(5,0)

Not equal to (r+s)+t

(e)

(-6,9)+(5,-3)

=(-1,6)

equal to (r+s)+t

If r= (2,3) s= (5,-3) t= (-8,6) then (7,0)+(-8,6) ,(2,3)+(-3,3) and (-6,9)+(5,-3) are equal to (r+s)+t

To learn more about vectors visit : https://brainly.com/question/25811261

price of 50 kg rice rupees 7650 find the price of 1 kg rice​

Answers

Answer:

price of 50 kg rice rupees 7650 find the price of 1 kg rice

so 50kg: 7650r

divide both sides by 50 to get 1

1kg=153 rupees

Answer:

50kg of rice --> 7650 rupees

7650/50 = 153

1kg of rice --> 153 rupees

5) Contains (3,-1) and (6,- 13)
Help please

Answers

Answer:

The slope of the line is -12/3

Step-by-step explanation:

remember, rise over run

My I have brainliest please? :)

RIDDLE
81 x 9 = 801. What must you do to make the this equation true?

Answers

Answer:

Reverse the numbers and change the 9 as upside down.

18*6 = 108

Hope that helped!!

Kayla is give a monthly allowance. She puts 40% of the money directly into her savings account. She spends $15 at the movies with her friends. At the end of the month, she has $3 left. How much is her monthly allowance?

Answers

£30
This is because if she has put 40% in to savings she has 60% left. This 60% is 15 + 3 (the money she spent at the movies and the money she has left) = £18
So 60% : £18
10% : £3 (divide by 6)
100% : £30 (multiply by 100)

What is the equation of the line through the origin and (2,5)

Answers

Answer:

2y=5x+2c

Step-by-step explanation:

identify the set of ordered pairs that represent y as a function of x? PLZZZ HELP

A. (-1,0) (1,0) (3,0) (3,4)
B. (1,0) (2,0) (3,3) (3,4)
C. (0,0) (1,1) (2,3) (3,3)
D. (0,0) (0,1) (2,3) (3,4)

Answers

It will be D because your going up

(0, -15), (-12, 18)
Can some one find the slope

Answers

Answer:

use this formula the answer is down below.

[tex]\frac{ysub2-ysub1}{xsub2-xsub1}[/tex]

Step-by-step explanation:

this is y.   -15-18= -33

this is x.    0--12 (so in this case you would add 12)

the slope is -33/12

Help me witch these 4 questions and thanks

Answers

Answer:

1. f(n+1) = f(n) + 0.09

2. The correct answer is 403 = x. The student’s error is that she did not cancel out properly the constant by the inverse add ended to find the answer of the variable.

3. B

4. D 34 + 6(25.3)

Simplify the given expression below: (2 points) 2 divided by the quantity of 2 plus 5i

Answers

Answer: The given expression "2 divided by the quantity of 2 plus 5i" can be translated as 2/(2+5i). Simplifying expressions aim is to simplify it into its simplest form. Since i = √-1 substitute it into the expression.

2/(2+5√-1)

then multiply it by 2-5√-1 on the numerator and denominator and we have

[2(2 - 5√-1)] / [4 - 25(1)]

(4-10√-1)/(-21)

Answer:7

Step-by-step explanation:

If you want to got to Gurnee Mills and it's 1 hour from your house but you have to wait an extra hour how many hours did t take you to get to Gurnee Mills?
A.
2 hours

B.
1 hr. 30 min​

Answers

Answer:

the answer is a i believe

Step-by-step explanation:

The solution is Option A.

The total time it took to travel from the house to Gurnee Mills is given by the equation A = 2 hours

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total time to travel from the house to Gurnee Mills be A

Now , the equation will be

The time it took to travel to Gurnee Mills without waiting = 1 hour

The waiting time before travel = 1 hour

So , the total time to travel from the house to Gurnee Mills A = time it took to travel to Gurnee Mills without waiting + waiting time before travel

Substituting the values in the equation , we get

The total time to travel from the house to Gurnee Mills A = 1 + 1

On simplifying the equation , we get

The total time to travel from the house to Gurnee Mills A = 2 hours

Therefore , the value of A is 2 hours

Hence , the the total time is 2 hours

To learn more about equations click :

https://brainly.com/question/19297665

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3 3/4 divided by 3/4

Answers

Answer:

5

Step-by-step explanation:

3 3/4 divided  by 3/4  is equal to 15/4 divided by 3/4

which is 15/4 times 4/3  the 4's cancel each other out making it 15/3 which is 5

Answer:

The answer is 5

Step-by-step explanation:

i dont really know how i know it just do.

Analyze the diagram below and complete the instructions that follow.
3
x
5
7
Find the unknown side length, x. Write your answer in simplest radical form.
A. 4
B. 165
C. 11
D. 5V13

Answers

Answer:

the answer is √ 65

Step-by-step explanation:

the length of the line separating the two triangles is 4 ( it was determined using the Pythagoras theorem)

so you'll find the value of x using√(4^2+7^2)

PLEASE HELP ASAP!!! i’ll mark brainlyest

Answers

Answer:

B

Step-by-step explanation:

How many minutes do you have in every hour? 60 right, so that's the ratio as a fraction saying 60 minutes per hour

I need help someone THIS IS DUE IN 10 MIN pls someone

Answers

Answer:

34, 1.5, 9, 12, 3.6

Step-by-step explanation:

40.8/1.2=

1.8/1.2=

10.8/1.2=

14.4/1.2=

4.32/1.2=

Answer:

1.34  2.1.5  3. 9   4.12  5. 3.6

Step-by-step explanation:

40.8/1.2

1.8/1.2

10.8/1.2

14.4/1/2

4.32/1.2

Amanda's parents had a birthday dinner for her at Sushi Yama restaurant. The bill came to $74 before the tip. They left an 18% tip. What was the total cost of Amanda's birthday dinner?

Answers

Answer:

$87.32

Step-by-step explanation:

Step one:

given data

we are told that the initial bill is $74

thereafter they gave a tip worth 18% of the bill

let us compute what 18% of $74 will amount to

Step two:

=18/100*74

=0.18*74

=$13.32

The added expenses is $13.32

Hence the total cost is

the initial bill plus the tip

=74+13.32

=$87.32

Cameron has a bag of 50 gumdrops. There are 15 peach, 20 strawberry, 5 cherry, and 10 watermelon. Without looking, he picks a gumdrop, looks at it and puts it back, then chooses another without looking. What is the probability he will choose strawberry both times?

Answers

20/50 if they ask to simplify it is 2/5

All you have to do is take the amount and do probability like a fraction

On Monday, George's checking account held $61.72. On Tuesday, he withdrew $57.00 from the account. On Thursday afternoon he deposited $197.27. What was his final balance Friday morning?

Answers

Answer:

$201.99

Step-by-step explanation:

Given that:

Amount held on Monday = $61.72

Amount withdrawn on Tuesday = $57.00

Amount deposited on Thursday = $197.27

Final balance :

Amount held on Monday - Amount withdrawn on Tuesday + Amount deposited on Thursday

$61.72 - $57.00 + $197.27 = $201.99

Hence, final balance = $201.99

7th question plsssss​

Answers

convert to exponential form

8^x=512=8^3

x=3

The logarithm of 512 to the base 8=3


1. Mrs. Rutherford planted flowers in a rectangular garden. The width of the garden is (X-5) feet and the length of the garden is 2 feet longer than the width. Write an
expression for the area of the garden

Answers

Answer:

area = 2 + (x-5) * (x-5)

Step-by-step explanation:

area of a rectangle= length * width

length = 2 + (x-5)

width = x-5

Answer:

im not sure

Step-by-step explanation:

um work here

v

Select the sentence that represents the equation below.
4x−8=2(2x−3)

Four times a number less than eight is equal to two times the difference of double that same number decreased by three.

Eight less than four times a number is equal to two times the difference of three minus double that same number.

Eight less than four times a number is equal to two times the difference of double that same number decreased by three.

Eight minus four times a number is equal to two times the difference of double that same number minus three.

Answers

Answer:

Eight less than four times a number is equal to two times the difference of double that same number decreased by three.

Step-by-step explanation:

The given equation is:

4x−8=2(2x−3)

We will try to translate the given equation in English.

We can see that the variable used is only one. On the left hand side of the equation 8 is being subtracted from 4 times of the variable and on the right hand side 3 is being subtracted from 2 times of variable and then being multiplied by two.

From the given option, correct answer is:

Eight less than four times a number is equal to two times the difference of double that same number decreased by three.

Jules has $1,200 and is spending $40 per week. Kelsey has $400 and is saving $40 a week. In how many weeks, will Jules and Kelsey have the same amount of money

Answers

Answer:

week number: 11 if you do count the first time they got the money or week number 10 if you don't count the first time they got the money

Step-by-step explanation:

First time they got money: Julie: 41,200 Kelsey: $400

week 1: Julie : $1,180  Kelsey: $440

week 2: Julie: $1,140  Kelsey: $480

week 3: Julie: $1,100  Kelsey: $520

week 4: Julie: $1,060  Kelsey: $560

week 5: Julie: $1,020  Kelsey: $600

week 6: Julie: $980    Kelsey: $640

week 7: Julie: $940    Kelsey: $680

week 8: Julie: $900    Kelsey: $720

week 9: Julie: $860    Kelsey: $780

week 10: Julie: $820   Kelsey: $820

What is b

A=h(a+b)/2​

Answers

The answer is B= 2a/h - a

What is the slope to this one? Will give brainliest

Answers

Answer:

Negative Slope.

-7/5

Step-by-step explanation:

Decreasing from left to right.

x = 3- -2 = 5

y = -2 - 5 = -7

y = -7/5x + 11/5

Answer:

7/-5

Step-by-step explanation:

can someone pls help?

Answers

Answer:

41

Step-by-step explanation:

4x +5 = 7x -22

5 = 3x -22

27 = 3x

x = 27/3

x = 9

4(9) + 5 = RS

36+ 5 = RS

RS = 41

Answer:

RS=41

Step-by-step explanation:

Because RT intersects the midpoint of QS, from doing some geometry we know that QRT and SRT are congruent triangles. Thus, RS=RQ because of cpctc

so, we can make the equation:

4x+5=7x-22

simplify

3x=27

x=9

now, plug that into 4x+5, and we get 36+5, or 41. RS=41

What is 10x10, please help xd

Answers

Answer:

100 lol

Step-by-step explanation:

ty for the points! <3

Answer:

100

Step-by-step explanation:

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