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
Please help me

Answers

Answer 1

Answer:

A)    A(t) = 5000(1 + 0.012)t

B)    A(t) = 106260

Step-by-step explanation:

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

A 2-column table with 4 rows. Column 1 is labeled Number of Bouquets with entries 3, 6, 9, 12. Column 2 is labeled Price (dollars) with entries 9, 18, 27, 36.

The table shows the price for buying bouquets of flowers at a farmer’s market.

What is the unit rate?

Answers

Answer:

The unit rate is $3

Step-by-step explanation:

The given table can be written as follows:

No. of Bouquets    3   6    9    12

Price                       9   18   27   36

In order to find the unit price, the price will be divided by the units.

So,

[tex]Unit\ price = \frac{Total\ price}{Number\ of\ bouquets}[/tex]

Taking a single pair from the table (Any pair of number of bouquets and price of those number of bouquets can be taken for this purpose)

[tex]Unit\ price = \frac{9}{3}[/tex]

= 3

Hence,

The unit rate is $3

Answer:

$3 per bouquet

Step-by-step explanation:

The sum of three consecutive integers is - 75.
What is the value of the smallest of the three integers?
O A. -23
O B. – 24
O c. -25
OD. -26
O E. -27

Answers

The answer is B or -24.

If you add -24+-25+-26 it will give you -75

Samir's curtain company is making curtains for a local hotel. He wants each curtain to be 36 inches long. At the fabric store, fabric is sold by the foot. If Samir's curtain company wants to make 72 curtains, how many feet of fabric will he need?

Answers

Answer:

Which two elements of drama divide the play and indicate shifts in location or scenery?

dialogue

act

character

monologue

scene

Step-by-step explanation:

write the equation of a line that is perpendicular to the line y=-3/7-15 and that passes through the point (9,2)

Answers

Answer:

Step-by-step explanation:

First substitue the coordinates to the equation so

x=9, y=2

you would get

2=-3/7(9) + b

we put b because we are trying to find the new slope

multiply the two numbers above

2=-3/6/7 + b

subtract the whole number from both sides

b= 5/6/7

in equation would be

y= -3/7 + 5/6/7

Let me know if there is an error.

Milligrams (\text{mg})(mg)left parenthesis, start text, m, g, end text, right parenthesis of iron per serving. Then they changed their recipe so they had 1.8\,\text{mg}1.8mg1, point, 8, start text, m, g, end text of iron per serving. What was the percent increase in iron?

Answers

Answer:

48.76%

Step-by-step explanation:

Here is the complete question;

A brand of cereal had 1.21milligrams of iron per serving. Then they changed their recipe so they had 1.8mg of iron per serving. What was the percent increase in iron?

Given

Initial amount of iron in cereal per serving = 1.21mg

final  amount of iron in cereal per serving =1.8mg

Required

Percentage increase in iron

Increment = 1.8mg - 1.21mg

Increment = 0.59mg

% increase in iron = increment/original amount * 100%

% increase in iron = 0.59/1.21 * 100

% increase in iron = 0.4876 * 100

% increase in iron = 48.76%

Hence the percent increase in iron is 48.76%

in the diagram below, B is the midpoint of AC and D is the midpoint of BC, which of the following statements is true?

(1) AC = 1/2BC (3) BD = 1/2AD

(2) AC=4DC (4) AC = 3BD

Answers

Answer:

2

Step-by-step explanation:

y= -2(x-3)(x-2) to standard form ​

Answers

Y=-2x^2+10x-12 is the correct answer.

Find the slope of the line that passes through the given two points:
(1,4) and (3,7)
m =

PLEASE HELP I DONT UNDERSTAND THIS

Answers

Answer: 3/2

Step-by-step explanation:

To find slope you use the formula: m= y2-y1/x2-x1

So plugging stuff in it’s (7-4)/(3-1)

This comes out to be 3/2

Which means when graphing you go up 3 and right 2

Unit 8 right triangles and trigonometry homework 2

Answers

Answer

What u need help with ?

Explanation

Simone paid $12 for an initial year's subscription to a magazine. The renewal rate is $7 per year. This situation can be represented by the equation y = 7x + 12, where x represents the number of years the subscription is renewed and y represents the total cost, in dollars.

Answers

Answer:

Step-by-step explanation:

Step one:

Simone paid $12 initial subscription

The rate renewable = $7 per year

let the number of years be x

and the total amount be y

the linear function/expression for the total amount is represented using the equation of line

i.e y=mx+c

where

     m= gradient = $7

     x= independent variable

     c= constant, $12

this is also given as

y=7x+12

Step two:

let's assume the plan is for 3 years, that is x=3

then

y=7(3)+12

y=21+12

y=33

$33

For any number of years, just put x=the number of years and solve

Please answer smartly or you will be reported
Thankyou:)

Answers

Answer: The answer is B

Step-by-step explanation:

What is the sum (2/5x+5/8) (1/5x-1/4)?

A. 3/5x+2/8
B. 3/5x+3/8
C. 3/5x+5/8
D. 3/5x+7/8

WOULD REALLY LIKE THE ANSWER FAST,my last 5 questions no one answered ;(​

Answers

Answer:

glad the brainly people cold cach u up on work hope u come back

Answer:

i suck at math lol

Step-by-step explanation:

Please just put what the position that it would have the most amount of potential energy and why Thanks!​

Answers

I’m pretty sure D has the most potential energy

prove that 1 + cos 2A / sin 2A=CotA​

Answers

Answer:

I assume that there are parentheses missing from the question and that it should be

Prove that  1 + sin 2A + cos 2A                                                                                                                                                                            ----------------------------------------------  = cot A

1+sin2A−cos 2A

Use sin 2 A= 2 sin A cos A and

cos 2 A = 1−2 sin 2 A and cos 2 A = 2 cos A−1

Can someone please help me with this question? " For what value of x makes the equation 4x-3.5 (2x-8) = 40 true"

Answers

Answer:

-4

Step-by-step explanation:

4x-3.5(2x-8)=40

4x-7x+28=40

-3x=40-28

-3x=12

x= -4

What is the reciprocal of 3^-2 ?​

Answers

Answer:

1/3^2

Im trying to earn my brainliest..so if you don't mind :)

Use the information to answer the following question.

A car travels at a rate of 45 miles per hour for 5 hours. Let y be the distance, in miles, the car travels for a given amount of time, x, in hours. This situation can be modeled by a function.



What is the domain of the function?

A.
0 ≤ y ≤ 45

B.
0 ≤ x ≤ 5

C.
0 ≤ y ≤ 5

D.
0 ≤ x ≤ 45

Answers

9514 1404 393

Answer:

  B.  0 ≤ x ≤ 5

Step-by-step explanation:

The domain refers to the useful values of x. Since we're only concerned with time in the interval of 0 to 5 hours, the suitable domain is ...

 0 ≤ x ≤ 5

What two numbers multiply together to get -42 and add up to be 1?

Answers

Answer:

-6 and 7

Step-by-step explanation:

-6 × 7 = -42-6 + 7 = 1

I hope this helps!

Answer:

7 and -6

Step-by-step explanation:

7 x -6 = -42

7 - 6 = 1

So I know the answer I just need to know the process. Could someone pls help?

Answers

Answer:

FIGURE 1:

x = 118; y = 96

FIGURE 2:

x = 85; y = 65

Step-by-step explanation:

FIGURE 1:

You know that x = 118 because of the Corresponding Angles theorem.

Because of the Exterior Angle Theorem (triangles), you can then figure out what y is with the following equation: y + 22 = 118 to get y = 96.

FIGURE 2:

In this figure, you first need to determine what the third angle in the bottom right triangle is. Using the Triangle Sum Theorem, you would find that the third angle is 70.

Because of the Vertical Angles Theorem, you know that the third angle in the top left triangle is also 70. With this information, you can now solve for x using the Triangle Sum Theorem to get x = 85.

Now that you know x, you can solve for y. The other 3 angles in the quadrilateral in which y is a part of are 90, 110, and 95. These could be figured out using the Linear Pair Postulate, the Vertical Angles Theorem, and the Linear Pair Postulate respectively. Now you can figure out y by using the Quadrilateral Sum Conjecture to get y = 65.

Find the amount and compound interest of Naira 500000 at 2years at 8%​

Answers

Answer:

Naira 583200

Step-by-step explanation:

500000 × 1.08² = 583200

The highest elevation in a small country occurs on a mountain 1232 meters above sea level, while the lowest elevation in the same country occurs at -27 meters (below sea level). What is the difference in elevation between the highest and lowest points?

Answers

Answer: 1259 meters

Step-by-step explanation:

Highest elevation = 1232 meters

Lowest elevation = -27 meters

The difference in elevation between the highest and lowest points will be:

= 1232 - (-27)

= 1232 + 27

= 1259 meters

Note that (-) × (-) = +

PLEASE PLEASE HELP ME I WILL GIVE BRAINALIST AND EXTRA POINTS TO THE FIRST PERSON

Answers

Answer:

1.C 2.A

Step-by-step explanation:

FIRST

Answer:

1= C

5= A

Step-by-step explanation:

What is the equation of the line that has a y intercept of 0,3 and passes through the point -9,-9

Answers

Answer:

-5.4

Step-by-step explanation:

Please answer correctly !!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!

Answers

Answer:

x= 48 and y= 42

Step-by-step explanation:

x= 90-42

x= 48

y= 90-48

y= 42

How much will you get paid if you work 28.5 hours for $7.75 per hour?

Answers

Answer:

$220.87 but 220.88 if u have to round up :)

Answer:

$220.875

Explanation:

If it is $7.75 dollars an hours and you want to know much much you will make you will multiple how many hours with the amount.

$7.75 x $28.5

If the table below represents a propornal relationship, what number will go
in the empty box?
Notes (pages)
8
Time (hours)
16
18
20
9
10
11. Helpp

Answers

What goes in the empty box is 22 because they notes get multiplied by 2 to equal the time

Since the box represents a proportional relationship, the empty box would be = 22.

What is a proportional relationship between two variables?

When proportional relationship exists between two variables, it means that a particular value would be times with one variable to give the next compared variable.

For example, using the figures given above;

8 pages of notes = 16hours

1 page = 16/8 = 2 hours

Therefore, each page should be times by two to give the number of hours.

Learn more about multiplication here:

https://brainly.com/question/29793687

#SPJ6

Write a quadratic equation with the given transformations from the parent function y = x2
4) Reflect over x-axis, shift to the left 5 units, shift up 7 units
5) Vertical stretch by a factor of 4, shift down 11 units
6) Vertical compression by a factor of, reflect over x-axis, shift to the right 2 units, shift up 3 units.

Answers

Answer:

4

Step-by-step explanation:

By Using the Transformations of the parabola

[tex]y = -(x+5)^2+7\\y=4x^{2} +7\\y = -(x-2)^2+3[/tex]

Vertical Translation  move the graph vertically - up or down

[tex]y = x^2+ k[/tex]

Horizontal Translation move the graph horizontally - left or right

[tex]y = (x - h)^2[/tex]

Reflection in x-axis  

flip the graph over the x-axis, (negates the y-values of the coordinates)

[tex]y = -(x^2)[/tex]

Reflection in y-axis

flip the graph over the y-axis,(negates the x-values of the coordinates)

[tex]y = (-x)^2[/tex]

Stretch or Compress Vertically  

stretches away from the x-axis or compresses toward the x-axis

[tex]y = a .x^2[/tex]

| a | > 1 is a stretch;

0 < | a | <1 is a compression

Stretch or Compress Horizontally

stretches away from the y-axis or compresses toward the y-axis

[tex]y=\frac{1}{a} x^{2}[/tex]

| a | > 1 is a compression by factor of 1/a;

0 < | a | <1 is a stretch by factor of 1/a

Now, we have [tex]y=x^2[/tex]

4). Reflect over x-axis, shift to the left 5 units, shift up 7 units

[tex]y = -(x+5)^2+7[/tex]

5) Vertical stretch by a factor of 4, shift down 11 units

[tex]y=4 x^{2} +7[/tex]

6) Vertical compression by a factor of, reflect over x-axis, shift to the right 2 units, shift up 3 units.

[tex]y=-(x-2)^{2} +3[/tex]

Learn more:https://brainly.com/question/20369546

Plz help me T-T it’s math

Answers

Answer:

a(n) = 128

Step-by-step explanation:

The formula for an arithmetic sequence is

a(n) = a1 + (n-1) d

You need to plug the numbers in to solve

a(n) = -12 + (36-1) 4

a(n) = -12 + 35 * 4

a(n) = -12 + 140

a(n) = 128

Factor 7y2 + 53y + 28.
Question 7 options:

A)

(y + 5)(7y + 2)

B)

(7y + 4)(y + 7)

C)

(7y – 2)(y – 14)

D)

(y – 12)(7y – 1)

Answers

Correct Answer is = B. (7y + 4) (y + 7)
Factor by grouping.

State the slope and Y intercept of this problem X =1

Answers

Answer:

not for sure sorry

Step-by-step explanation:

sorry

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