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

Estimate the area of the figure. Each square represents 2 units^2.

Answers

Answer:

60 units²

Step-by-step explanation:

Approximate area is about 50 units²

The closest option is the last one

Find h(-5) for the function h(x)= -5x+9.
h(-5) =

Answers

Answer:

h(-5) = 34

Step-by-step explanation:

h(x) = -5x + 9

h(-5) = -5(-5) + 9 = 25 + 9 = 34

Is 46 a number in the sequence generated by 5n + 1

Answers

Answer:

231

Step-by-step explanation:

5.46+1

230+1

231

answer this?

Answer:

yes

Step-by-step explanation:

Equate 5n + 1 and 46 to find n, that is

5n + 1 = 46 ( subtract 1 from both sides )

5n = 45 ( divide both sides by 5 )

n = 9

Thus 46 is the ninth term in the sequence

Lines a and b are parallel. Line c is a transversal. FInd the measures of all angles formed by a, b, and c, given each scenario. One of the angles measures 150 degrees.

Answers

Answer:

30° and 150°

Step-by-step explanation:

Given

Parallel lines a and b

Transversal c

Angle = 150°

Required

Determine the list of possible angles

A transversal divides a parallel line into two measure which add up to 180°

Given that one of the angles is 150°, the other angle would be 180° - 150°

Other angle = 180° - 150°

Other angle = 30°

Aside 30° and 150°, there's no other possible angle that can be formed by the given information

Answer:

30 and 150

Step-by-step explanation:

Given

Parallel lines a and b

Transversal c

Angle = 150°

Required

Determine the list of possible angles

A transversal divides a parallel line into two measure which add up to 180°

Given that one of the angles is 150°, the other angle would be 180° - 150°

Other angle = 180° - 150°

Other angle = 30°

Aside 30° and 150°, there's no other possible angle that can be formed by the given information

Can a right triangle have sides of 12, 16, and 20?

Answers

No. All triangles must have a total of 180 degrees. If a triangle had two small angles (smaller than 90) the last angle must be larger than 90 and adds up to be 180 in total.

help meeeeeeeeee plzzzzzzzzzzzzz

Answers

Answer:

91 x

Step-by-step explanation:

During the big storm, 29 in. of snow fell in 8 hours. Find the rate of snowfall in inches per hour.

Answers

Answer:

3 5/8 inches of snow per hour

Step-by-step explanation:

29 divided by 8 = 3.625

                             (3 5/8)

if 29 inches for 8 hours, and you need to find how much snow in one hour, you can get 1 hour from 8 hours by doing 8 divided by 8. You  use the same number to find the snow, divide 29 by 8 and you get the rate at which snow builds up.

Hope this wasn’t too confusing ^0^

A museum has 6,000 visitors in its first month of operation. The museum staff predicts that the number of visitors will increase by 5% each month. Assuming that this prediction is true, how many visitors does the museum expect on the 7th month of operation?​

Answers

Multiply 5 by 6000 aka 30,000 then multiply 7 then to 210,000 please give brainliest

8100 visitors in 7th month.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit,  followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

given:

Visitor in first month= 6000

If the visitors will increase at the rate of 5% then

Visitors in second month

=6000+  6000 x 5/100

=6000 + 300

=6000

So, the visitors in 7 month

=6000+ 7(300)

=6000 +2100

=8100

Hence, there 8100 visitors in 7th month.

Learn more about unitary method here:

https://brainly.com/question/22056199

#SPJ2

I Need help please!!!

Answers

Just use substitution, y intercept is 3 so it would be 3= -2(5) I’m not an expert but I tried.

3.14 × 6.25..............

Answers

Answer:

calculator says 19.625

Answer:

19.625

Step-by-step explanation:

Find the x-intercept and y-intercept
from the following linear equation:
D x + 4y = -56
x-intercept ([?],[]).
y-intercept (I):[])

Answers

Step-by-step explanation:

x intercept is when y = 0 and y intercept is when x = 0 hence, x intercept is : x = -56 hence (-56, 0) and y intercept is: 4y = -56 y = -14 hence (0, -14)

Topic: coordinate geometry

If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!

In school the ratio of the number of pupils to the number of teachers is 20:1 of the number of pupils is 840 how many teachers are there

Answers

Answer:

Step-by-step explanation:

Given ration of pupils and teachers =20:1

Let the no. Of teachers =X

So no.of pupils =20X

No.of pupils=840

20X=840

X=840/20

X=42

No.of teacher =X

=42.

Which pair of radicals is a pair of like radicals

Answers

The last choice, since they have the same number in their square roots.

a science teacher has 12 g of marble chips. Each lab station needs 0.5 g of marbles chips. How many lab station can she supply?

Answers

Answer:

24

Step-by-step explanation:

Since each lab station needs 0.5 grams of chips, we have to divide 0.5 from 12.

12/0.5 = 24

Extremely easy question marking Brainliest answer

Answers

Answer:

It is hard to tell from this image, but I believe the word you are looking for is Integer. Integers are any positive or negative whole number.

Can someone plzz answer this!!?

Answers

Answer: B Angle Side Angle

Step-by-step explanation:

Since line AB and CD are parallel angles D and A are congruent by the alternate interior theorem and both angles AOB and DOC are congruent by the vertical angle theorem and it already shows line OC and line OB are congruent.

ax = bc - c solve for x

Answers

Answer:

X = c - b/a

Step-by-step explanation:

Answer:

x=bc/a - c/a

You simplify it like you would any equation, only difference is it does not have numbers.

slope of (-3, 1), (1, 9) and slope of (-2, -9), (-1, -7)

Answers

Answer:

8/4 and 2/1(or just 2)

Step-by-step explanation:

slope formula- (y2-y1)/(x2-x1)

plug in the numbers-

(9-1)/(1+3) and (-7+9)/(-1+2)

What's the answer help pls

Answers

Answer:

48°

Step-by-step explanation:

The m in front of the angle notation refers to the measure of the angle labeled A, B and C (with vertex at B)

Two Angles are Supplementary when they add up to 180 degrees.

HENCE,

∠A + ∠B =180 (given)

⇒4x - 16 +8x + 4 = 180°

⇒12x - 12 = 180°

⇒12x = 192

⇒x = 16 ----1

substituting eq1 in ∠A,

=> 4(16) -16

=> 64 - 16

=> ∠A = 48°

Answer:

48

Step-by-step explanation:

The definition of supplementary means that the two angles add up to 180. so you set both expressions up to where they add to 180. like this

4x-16+8x+4=180

combine like terms

12x-12=180

12x=192

divide to get x

x=16.

You need the measure of angle A so you plug it back in

4(16)-16

64-16

48 is the measure of angle A, and since these angles are supplementary, that means angle B is 132

A map has a scale of 1 inch = 20 miles. The distance on a map between two cities is 3 1/4 inches. How far apart are the two cities?​

Answers

It is 65 miles because 3 times 20 is 60, a fourth of 20 is 5, so you add them together and get 65 miles

Find three consecutive odd integers such that the sum of 7 times the smallest and twice the largest is -91.

Answers

Find three consecutive odd integral such that the sum of seven times the smallest and twice the largest is -91

Please I’m really confused which one it is please help

Answers

Answer:

The top one on the left

Step-by-step explanation:

The graph shows that the distance a dog runs is proportional to the time the dog is running. You want to use only one plotted point to find the unit rate. Which of the three plotted points could you choose? Select all that apply.

(0,0)

(1,9.7)

(4,38.8)
Question 2
The unit rate is
feet per second.

Answers

Answer:

2

Step-by-step explanation:

2

Martin traveled at an average rate of 40 miles per hour for the first half of his trip. For the second half of his trip, he traveled at a rate of 60 miles per hour. How far did he travel in the 4-hour trip?

Answers

Answer:

Total distance traveled = 200 miles

Step-by-step explanation:

Total time taken for the trip = 4 hours

∴ The trip can be divided into two halves of 2 hours each.

1st half:

speed = 40 miles per hour

distance = speed × time

when time = 2 hours

distance = 40 × 2 = 80 miles

2nd half:

distance = speed × time

speed = 60 miles per hour

time = 2 hours

∴ distance = 60 × 2 = 120 miles

Combined distance traveled = 80 + 120 = 200 miles

Find the area of the triangle.




The area of the triangle is square units.

Answers

Answer: Um, where is your picture to answer to this question? Please show me this picture to answer the question!

Step-by-step explanation:

Answer:

Step-by-step explanation:

Please your question is Incomplete please edit the question

Please help me I will really appreciate it!!!

Answers

Answer:

t = [tex]\sqrt{\frac{-2(h-1)}{a} }[/tex]

Step-by-step explanation:

solve for t

h = -[tex]\frac{1}{2}[/tex]a[tex]t^{2}[/tex] + 1; multiply both sides by -2

-2h = a[tex]t^{2}[/tex] - 2; add 2 to both sides

-2h + 2 = a[tex]t^{2}[/tex]; divide by a

(-2h + 2) / a = [tex]t^{2}[/tex] ; take the square root

t = [tex]\sqrt{\frac{-2(h-1)}{a} }[/tex]

WORTH 15 POINTS
⚠️MAKE SURE TO USE SURDS ⚠️
ANSWER ASAP WILL GIVE BRAINLIEST

Answers

Answer:

i got 1.23 don't think its right though so someone check me

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

First thing is you have to do the square root of 3. Which will give you a crazy long decimal but then after you square it, it becomes 3 perfectly.

Which of the following mathematical properties is described by the statement, “whatever is done on one side of the equation must also be done on the other side of the equation”?
Identity Property of Addition
Associative Property
Communitive Property
Property of Equality
today guys please

Answers

Answer:

Property of Equality

Step-by-step explanation:

Answer:Property of Equality

STEP BY STEP EXPLANATION HAS BEEN CANCELED ITS EASY:

PLEB

The midpoint of a segment with endpoint (8,a) and (b,4) is (-1,-1)
What’s the value of a and b
Answer choices is
A. 10 b. 6
A.6 b.10
A. -6 b. -10
A. -10 b.-6

Answers

Answer:

(-10,-6)

Step-by-step explanation:

(8 + b) / 2 = - 1

(8 + b) = - 1 * 2

8 + b = - 2

b+8-8 = -2 - 8

b = - 10

=====================

(a + 4)/2 = -1

(a + 4) = - 2

a + 4 = -2

a + 4-4 = - 2 - 4

a = - 6

1.5m^6(-2m^2)^4
find the product​

Answers

the answer is:
24m^14
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