A person invests 4000 dollars in a bank. The bank pays 6.25% interest compounded
annually. To the nearest tenth of a year, how long must the person leave the money
in the bank until it reaches 9600 dollars?

Answers

Answer 1

Answer:

14.4

Step-by-step explanation:

Given that :

Principal = 4000

Interest (r) = 6.25% compounded annually

Calculate time, t, if final amount A = 9600

Using the compound interest formula :

A = P(1 + r/n)^n*t

A = final amount

n = number of times interest is applied per period

9600 = 4000(1 + 0.0625)^t

9600 = 4000(1.0625)^t

9600/4000 = 1.0625^t

2.4 = 1.0625^t

Take the log of both sides

0.3802112 = 0.0263289t

t = 0.3802112/0.0263289

t = 14.440811

t = 14.4 ( nearest tenth)


Related Questions

hi I really need help with this question

Plz show ur work

Answers

Answer:

x>-24[tex]\frac{3}{4}[/tex]

Step-by-step explanation:

-[tex]\frac{2}{5}[/tex]x<9/10+9

-[tex]\frac{2}{5}[/tex]x<99/10

x>99/10*-5/2

s - 185 = -22
UwU help meh

Answers

Answer:

I believe you solve for s, the answer is s=136, please let me know if I am incorrect.

The answer is 163.
s- 185= -22
You would have to get the variable (s) on its own, so add 185 to both sides.
s= -22 +185= 163

2 tenths= ? Hundredths

Answers

Answer:

20 hundredths

2 tenths equal 20 hundredths.

Hope this helps! :D

Answer:

20 hundredths

Step-by-step explanation:

I hope this helps you!

Do you give Brainlliest?

Please give me the correct answer ​

Answers

Answer:

the correct answer is 5 places

What is the value of y if f||n
?????

Answers

Answer:

y = 148°

Step-by-step explanation:

4x - 18 = 2x + 12 (alternate exterior angles are congruent)

Collect like terms

4x - 18 = 2x + 12

4x - 2x = 18 + 12

2x = 20

Divide both sides by 2

x = 10

y = 180 - (2x + 12) (linear pair theorem)

Plug in the value of x

y = 180 - (2(10) + 12)

y = 180 - (20 + 12)

y = 148°

Pls work out and give detail. Use the slope formula to determine the slope of each line.
4. AB
ТУ
41
2
2ТА
B
Х
— 4 — 2
O|
2
N
т
-4 +

Answers

Answer:

[tex]m=0[/tex]

Step-by-step explanation:

Given

See attachment

Required

Determine the slope of the line

From the attachment, we have the following points

[tex](x_1,y_1) = (-4,1)[/tex]

and

[tex](x_2,y_2) = (3,1)[/tex]

The slope m is then calculated using:

[tex]m = \frac{y_2- y_1}{x_2 - x_1}[/tex]

Substitute values for the x's and y's

[tex]m = \frac{1-1}{3 - (-4)}[/tex]

[tex]m = \frac{1-1}{3 +4}[/tex]

[tex]m = \frac{0}{7}[/tex]

[tex]m=0[/tex]

Hence, the slope is 0

PLS HELP BRAINLIST and 100 POINTS

The diagram below shows a boat and a scuba diver that is approximately 40 feet below the boat. The top of the flagpole on the boat is 15 feet above the surface of the water. The elevation of the surface of the water is 0 feet. Which number represents the elevation of the scuba diver?

A. –55 ft
B. –40 ft
C. 40 ft
D. 55 ft

Answers

Answer:

B, He is -40 due to it asking which number is his point. If he was positive 40 then he would be on an island or flying in the sky. Your answer is -40

the answer is -40 pretty sure

Which of the following statement is TRUE?

A. THE ONLY FACTORS OF 9 ARE 1 AND 9

B. THE ONLY FACTORS OF 10 ARE 1,2 AND 10

C.THE ONLY FACTORS OF 11 ARE 1 AND 11

D.THE ONLY FACTORS OF 12 ARE 1,2,6, AND 12.


PLEASE HELP!!!!!!!

Answers

Answer:

C.

Step-by-step explanation:

11 is a prime number, meaning that its only factors are 1 and itself.

Answer:

c

Step-by-step explanation:

 9        10      11        12  

1,9       1,10    1,11     1,12

3,3      2,5               2,6

                              3,4

Please be honest :( please help I’ll mark u!

Answers

Answer:

h is equal to or greater than 1. it's the first one

7. The path of a baseball after it has been hit is modeled by the function h = -0.0032d? + d + 3, where his
the height in feet of the baseball and d is the distance in feet the baseball is from home plate. Find the average
rate of change for the baseball between d = 100 and d = 200.

Answers

Answer:

[tex]A = 0.04[/tex]

Step-by-step explanation:

Given

[tex]h(d) = -0.0032d^2 + d + 3[/tex]

Required

Determine the average rate of change for d = 100 to 200

Average rate of change (A) is calculated as follows:

[tex]A = \frac{h(b) - h(a)}{b - a}[/tex]

In this case:

[tex]b = 200[/tex] and [tex]a = 100[/tex]

So: [tex]A = \frac{h(b) - h(a)}{b - a}[/tex] becomes

[tex]A = \frac{h(200) - h(100}{200 - 100}[/tex]

[tex]A = \frac{h(200) - h(100)}{100}[/tex]

Solving h(200)

[tex]h(d) = -0.0032d^2 + d + 3[/tex]

[tex]h(200) = -0.0032*200^2 + 200 + 3[/tex]

[tex]h(200) = 75[/tex]

Solving h(100)

[tex]h(d) = -0.0032d^2 + d + 3[/tex]

[tex]h(100) = -0.0032*100^2 + 100 + 3[/tex]

[tex]h(100) = 71[/tex]

So: [tex]A = \frac{h(200) - h(100)}{100}[/tex] becomes

[tex]A = \frac{75 - 71}{100}[/tex]

[tex]A = \frac{4}{100}[/tex]

[tex]A = 0.04[/tex]

Hence, the average rate of change is 0.04

Help me please, which postulate proves these two triangles are congruent?

Answers

Answer:

C

Step-by-step explanation:

These triangles do look congruent. However, in fact, we don’t have enough information. We need 3 parts of a trainable to be shown congruent for it to be congruent, including HL congruence (because this requires a right angle). In the diagram, only 2 sides are shown to be congruent. This isn’t enough information to prove that the triangles are congruent. Therefore, it is C.

I hope this helps! :)

how to graph y=-8/3x+9

Answers

Slope=−
2.000
5.333

=−2.667
x−intercept=
8
27

=3.37500
y−intercept=
3
27

=9


Step-by-step explanation:

this is the equation for a line in slope-intercept form

the y-intercept is 9, so find (0,9) on the graph

then, the slope is -8/3 (think "rise" over "run"), so from the point (0,9) you have to count down 8 (for -8) and then to the right 3 (for +3). from this point, you can now repeat the pattern of counting down 8 and right 3 and making points to connect.

when at least two points are connected, you have a line and that is your graph

Identify which line from the graph the following right triangles could lie on

Answers

Answer:

There is no graph.

Assuming there are no reflections or dilations,
explain how you would write the oquation of the
function whose graph is sketched below.

Answers

Answer:

Step-by-step explanation:

We can see that this graph looks something like the graph of:

f(x) = 1/x^2

But the asymptotes of 1/x^2 are at  x = 0, and in this case we can see that the asymptotes are near  x = -3.

This may mean that the graph has been horizontally shifted 3 units to the left.

A general way to write an horizontal shift of N units is:

g(x) = f(x + N)

if N is positive, then the shift is to the left, if N is negative, then the shift is to the right.

In this case, we will have;

g(x) = f(x + 3)

And f(x) = 1/x^2

then:

g(x) = 1/(x + 3)^2

Graphing that, we get the graph shown below, that is almost the same as the graph in the image.

Simplify the expression.
3(2+q)+15 simplified is

Answers

Answer:

3q+21

Step-by-step explanation:

Answer:

brainliest plsssss

Step-by-step explanation:

Let's simplify step-by-step.

3(2+q)+15

Distribute:

=(3)(2)+(3)(q)+15

=6+3q+15

Combine Like Terms:

=6+3q+15

=(3q)+(6+15)

=3q+21

Simplest form of -1 5/8 divided by 5 8/9

Answers

Answer:

the answer is -117/424, hope this helps :)

Prove that x+1 is a factor of x^n+1 where n is an odd positive integer.​

Answers

Answer:

because x^n+1 =

the number which is n and n is an odd number and my odd number is 3 so

x^3+1= 4

= x^4

MY HRW ‼️ Solve the equation. You may find using algebra tiles helpful in solving this problem.
X +6=-X-6

Answers

Answer:

x=-6

Step-by-step explanation:

x+6=-x-6

(-6)+6=(6)-6

0=0

Answer:

Solve the equation. You may find using algebra tiles helpful in solving this problem.  X +6=-X-6               X= -6

Of the factors of 12 shown, which also have a sum of 7?

A: 12,1

B: 2,6

C: 3,4

Answers

The answer is C because 3 and 4 add together to equal 7

A map uses a scale of 1 centimeter = 200 meters.
If it is 5 kilometers between two locations, how many centimeters on the map is it?

Answers

Answer:

40 centimeters

Step-by-step explanation:

for a new neighbor, 100 acres of land will be split into 10 lots. How many acres will each lot have?

Answers

10 I believe is the answer

Answer:

Your answer is 10 cause 100 divided by 10 is 10

Step-by-step explanation:

Please helppppppopppp

Answers

Answer:

a..

Step-by-step explanation:

Match these?

LA
If two angles and the included side of one triangle are equal to two angles and the included side of the other triangle, then the triangles are congruent.
ASA
If the hypotenuse and a leg of one right triangle are equal to the hypotenuse and leg of another right triangle, then the triangles are congruent.
HL
If three sides of one triangle are equal to three sides of anther triangle, then the triangles are congruent.
SAS
If a leg and an acute angle of one right triangle are equal to the corresponding parts of another right triangle, then the triangles are congruent.
SSS
If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.

Answers

Answer:

see below

Step-by-step explanation:

If two angles and the included side of one triangle are equal to two angles and the included side of the other triangle, then the triangles are congruent.

This is angle side angle  ASA

If the hypotenuse and a leg of one right triangle are equal to the hypotenuse and leg of another right triangle, then the triangles are congruent.

This is  hypotenuse leg  HL

If three sides of one triangle are equal to three sides of anther triangle, then the triangles are congruent.

This is side side side  SSS

If a leg and an acute angle of one right triangle are equal to the corresponding parts of another right triangle, then the triangles are congruent.

This is leg angle LA

If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.

This is side angle side SAS

can someone check if I'm right?​

Answers

Answer:

your right!!!

Step-by-step explanation:

I think it’s correct

What is the volume of the following cylinder?

A.) 1.695.6 cm 3
B.) 565.2 cm 3
C.) 06.782.4 cm
D.) 282.6 cm 3

Answers

B I used my really good calculator

Answer:

A

Step-by-step explanation:

thanks

1.7.PS-6
E Question Help
You buy 3.17 pounds of oranges, 1.35 pounds of peaches, and 2.68 pounds of grapes.
What is your total bill?
Grocery Store Prices
Item
Cost
Oranges $1.29 per
pound
Peaches
$1.19 per
pound
Grapes
$1.09 per
Pound
Your total bill is $.
(Round to the nearest cent as needed.)
Enter your answer in the answer box and then click Check Answer
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Clear All
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9:54 PM
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C

Answers

Answer:africa

Step-by-step explanation:

science

To approach a runway, a plane must begin a 7° descent starting from a height of 5 miles above the ground. To the nearest mile, how many miles from the runway is the airplane at the start of this approach?

41 mi

54 mi

82 mi

46 mi

Answers

41 miles
Thanks have a great day god bless you

Answer:

41

Step-by-step explanation:

What is the estimated product of 1.39 × 6.76?

1.39 rounds to , and 6.76 rounds to Therefore, the estimated product is . i´ll answer this on my own but feel free to answer to get points!!

Answers

Answer:

7

Step-by-step explanation:

1.39 rounds to 1

6.76 rounds to 7

1 x 7=7

Answer:

1,7,7

Step-by-step explanation:

What is the value of p if the expression 4(n+7) is equivalent to (n+p)4?

Answers

Answer:

p = 7

Step-by-step explanation:

set the expressions = to each other

4(n+7) = 4(n+p)

distribute the 4 on both sides(multiplying the numbers on the inside)

4n+28 = 4n+4p

subtract the 4n from the right and left

28 = 4p

divide by 4

p = 7

I need help with this practice sheet
I'm confused with this​

Answers

End behavior is when the graph goes left or right, does it go up or down.

In this graph, when it goes left it goes up, and when the graph goes right it goes down

as x => - infinity, f(x) => Infinity

as x => Infinity, f(x) => - infinity

The leading coefficient is negative.

The degree is even.

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