A person invests 9500 dollars in a bank. The bank pays 5% interest compounded annually. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 13200 dollars?

Answers

Answer 1

Answer:

6.58 years

Step-by-step explanation:

Step one:

Given data

Principal=$9500

rate= 5%= 0.05

Final amount= $13200

Required:

The time t

Step two

The expression for the compound interest is

[tex]A= p(1+r)^t[/tex]

t = ln(A/P) / r.

substitute

t = ln(13200/9500) /0.05

t= ln(1.39)/0.05

t=0.329/0.05

t=6.58 years

Answer 2

Answer:

6.7

Step-by-step explanation:


Related Questions

Divide: 2 ÷ 1/2

A. 2

B. 16

C. 8

D. 4​

Answers

Answer:

D

Step-by-step explanation:

hope this helps :)

if this did help, mark me brainliest

What is the product of:
200 x 32.6.

Answers

Answer:

6,520

Step-by-step explanation:

Because that is the answer when you multiply them together.

Answer:

6,520

Hope this helps!

Can someone help me please

Answers

This is an equilateral triangle because all the angles are the same. This means the sides will be the same as well.
2x + 33 = 9.
Minus both sides by 33.
2x = -24
Then, divide both sides by 2.
x = -12

Answer:

x = 12

Step-by-step explanation:

Simplifying

9 + 2x = 33

Solving

9 + 2x = 33

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-9' to each side of the equation.

9 + -9 + 2x = 33 + -9

Combine like terms: 9 + -9 = 0

0 + 2x = 33 + -9

2x = 33 + -9

Combine like terms: 33 + -9 = 24

2x = 24

Divide each side by '2'.

x = 12

Simplifying

x = 12

Solve x for me please I need it!!!

Answers

The answer is 56 hope this helps

Answer:

The angle x° = 34°

Step-by-step explanation:

Given the right-angled triangle

right angle = 90° Given the angle = 56°

We know that the sum of angles of a triangle = 180°

so

90° + 56° + x° = 180°

x° = 180°- 90° - 56°

x° = 34°

Therefore, the angle x° = 34°

3. Find f(2) given f(x)=3x^2+ 2x + 16

Answers

Answer:

32

Step-by-step explanation:

f(2)=3(2)^2+2(2)+16

f(2)=12+4+16

f(2)=32

3 Which of these numbers is between -4 and 2 on the number line?" -6 3 -5 -1​

Answers

Answer:-1

Source:trust me bro

Meg the Stallion placed 8 books on each shelf of a bookcase. If she shelves 32 books. How many shelves are needed?

Answers

Answer:

Meg thee Stallion would need to borrow 4 shelves from Cardi B

Answer:

4 shelves

Step-by-step explanation:

you can do 32 divided by 8 which gives you 4 or keep adding 8 until you get 32 and count how many times you had to add.

A store sells tiles in the shape of a parallelogram. The perimeter of each tile is 37 inches. One side of each tile is 2.5 inches longer than another side. What are the side lengths of the tile? The side lengths of the tile are ___Inches and ___ Inches.

Answers

Answer:

The side lengths of the tile are 8 Inches and 10.5 Inches.

Step-by-step explanation:

Perimeter of a parallelogram = 2(a + b)

Let

a = shorter side

b = longer side

b = a + 2.5 inches

The perimeter of each tile is 37 inches

Perimeter of a parallelogram = 2(a + b)

37 = 2{a + (a + 2.5)}

37 = 2{a + a + 2.5}

37 = 2(2a + 2.5)

37 = 4a + 5

37 - 5 = 4a

32 = 4a

Divide both sides by 4

a = 32/4

= 8

a = 8 inches

b = a + 2.5 inches

= 8 + 2.5

= 10.5 inches

b = 10.5 inches

The side lengths of the tile are 8 Inches and 10.5 Inches.

SOLVE. |y - z| when y=7, z= 11


please help I am super confused and im in the middle of the test

Answers

Answer:

[tex]y - z \\ = 7 - 11 \\ = - 4[/tex]

How can
1/3x-2 = 1/4x+ 11 be set up as a system of equations?

A.
3y - X = -6
4y - x = 44

B.
3y + x = -6
4y + x = 44

C.
3y - 3x = -6
4y - 4x = 44

D.
3y + 3x = -6
4y + 4x = 44

Answers

Answer: c

Step-by-step explanation:

bc i said

hich correctly describes how the graph of the inequality 4x − 2y > 20 is shaded?

Answers

Answer:

First we need to express y in this inequality:

-2y > -4x + 20

-y > -2x + 10

y < 2x - 10

The line isn't solid because the "less" sign doesn't include equal in it.

Because the sign is "less than" the shaded part is Below the line.

Merging these 2 conclusion we get the answer:

below the dashed line.

Step-by-step explanation:

The perimeter of a square Is 176 centimeters. If the square is dilated by a scale factor of 0.75, what is the length of each side of the new square?​

Answers

Answer: The answer is a decimal.

Step-by-step explanation:

A car is 180 inches long. A truck is 75% longer than the car. How long is the truck?

A car is 180 inches long. A truck is 75% longer than the car. How long is the truck?


A car is 180 inches long. A truck is 75% longer than the car. How long is the truck?


A car is 180 inches long. A truck is 75% longer than the car. How long is the truck?

Answers

Answer:

The answer is 315 inches

Step-by-step explanation:

180+75%

Answer:315

Step-by-step explanation:

It took the Hendersons 6 1/4 hours to
travel 325 miles.
At this rate, how many miles could they
travel in one hour?

Answers

Answer:

52 miles

Step-by-step explanation:

They drive 325 miles in 6 1/4 hours. Convert 6 1/4 to 6.25 and divide. 325/6.25= 52 mph

Can someone please help me, i've just been sitting here trying to figure this out. please help me

Answers

Answer:

A) y=0.45x + 2.9

B) the plant grows 0,45 inches per day

C) the height and the number of days are highly related

D) 5.55

Step-by-step explanation:

Am in a rush sorry lol don’t have time to explain

Negative 1.5 (4 minus r) = negative 12

Answers

Answer:

r = - 4

Step-by-step explanation:

Given

- 1.5(4 - r) = - 12 ( divide both sides by - 1.5 )

4 - r = 8 ( subtract 4 from both sides )

- r = 4 ( multiply both sides by - 1 )

r = - 4

Answer:

12

Step-by-step explanation:

1.5(4-r) = -12

To solve, first multiply 4-r by 1.5. When you do this, you can then simplify the expression and write it as 6-1.5r=-12.

With the simplified expression, you can solve for r.

Subtract 6 from both sides then divide by -1.5.

-1.5r=-18

r=12

pls help d ⋅ 24 = -12

d =?

Answers

Answer:

d = -0.5

Step-by-step explanation:

Original equation:

24d = -12

Divide both sides by 24

d = -0.5

Hope this helps :)

Please consider Brainliest :)

Answer:

-0.5

Step-by-step explanation:

-12/24=-0/5 and ur left with d

Rewrite 7/2+ 14/25 as a single decimal.

Answers

Answer:

4.06

Step-by-step explanation:

7/2+14/25 Change into decimals

3.5+0.56 Add together

=4.06

ΔABC is similar to ΔAXY by a ratio of 4:3. If BC = 24, what is the length of XY? triangles ABC and AXY that share vertex A where point X is between points A and B and point Y is between points A and C XY = 18 XY = 32 XY = 6 XY = 8

Answers

Answer:

[tex]XY = 18[/tex]

Step-by-step explanation:

Given

[tex]ABC:AXY = 4 : 3[/tex]

[tex]BC = 24[/tex]

Required

Find XY

Represent BC and XY as a ratio;

[tex]BC : XY = 24 : xy[/tex]

Recall that:

[tex]ABC:AXY = 4 : 3[/tex]

Equate both ratios;

[tex]24 : xy = 4 : 3[/tex]

Convert to fractions

[tex]\frac{24}{xy} = \frac{4}{3}[/tex]

Cross Multiply

[tex]xy * 4 = 24 * 3[/tex]

[tex]xy * 4 = 72[/tex]

Divide through by 3

[tex]xy * 4/4 = 72/4[/tex]

[tex]xy = 18[/tex]

Hence:

[tex]XY = 18[/tex]

Answer:

XY = 18

Step-by-step explanation:

Aye can one of y’all help me break this answer down (btw the total is 120)

Answers

Starter info: They bought 5 T-shirts total and $20 worth of sandals. They spent $120 total.
First you subtract the sandal cost from the total price (120-20=100), then you divide the amount of t-shirts (5) by that amount (100). So 100/5=20 so that is the price of the individual T-shirts.
Final answer: $20 per t-shirt

Answer: 5t + (10x2) i believe. I don’t know what the question was but i’m guessing they wanted to know the equation..!

Step-by-step explanation: first ... add all the people up in the family which is 5 then you times that by a variable and since they bought all of them t- shirts the variable will be ‘t’ so that’s 5t then take 10x2 since they bought two pairs of sandals which cost $10 for each pair and your equation will be 5t + (10x2)

A 30ft electric line is suspended between the tops of two 20ft electric poles on level ground. The lowest point of the line is 5ft above the ground. What's the distance between the two electric poles?

Answers

Answer:

There is no distance between them

Step-by-step explanation:

For a 30 ft electric line to be placed between two 20ft electric poles, it would take 15 ft of the electric line to go down to about 5 ft above the ground and another 15 ft of the line to go to the top of the second electric pole. This means that a total of 30ft (15 ft + 15 ft) electric line would be needed which is all the cable we have.

For this to be possible then the poles must be adjacent to each other (i.e. no distance between them).

If r = 1 and θ = 4π/3 what is the approximate arc length

Answers

Answer: 4.189 units

Step-by-step explanation:

AP EX

As per linear equation, the required approximate arc length is 4.19 units.

What is a linear equation?

"An equation that has the highest degree of 1 is known as a linear equation. This means that no variable in a linear equation has an exponent more than 1. The graph of a linear equation always forms a straight line.

The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant."

Given,  length of the radius (r) = 1 units

The value of the given angle(θ) = 4π/3 radian.

Therefore, the approximate arc length is

= length of the radius × value of the given angle

= r × θ

= 1 × 4π/3 units

= 4π/3 units

= 4.19 units

The required approximate arc length is 4.19 units.

Learn more about linear equation here: https://brainly.com/question/11897796

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how to multiply 4 x 800 - VALIDS

Answers

Answer:

4x800=  3,200

Step-by-step explanation:

The equation below describes a proportional relationship between x and y. What is the constant of proportionality? Y=4/7x

Answers

Answer:

the given equation is y=4/7x

reciprocating both sides you get y/x =7/4

now x and y are directly porportional to each other so

x=ky where k is the constant

or x/y=k ......................(2)

equating 1 and 2

k=7/4

Step-by-step explanation:

Which of the statements below is true for the following set of numbers?
42, 20, 36, 51, 60, 28
The range is 14 and the midrange is 35.
The
range is 60 and the midrange is 39.
The range is 40 and the midrange is 20.
The range and the midrange are equal.

Answers

Answer:

The range is 40 and the midrange is 20.

For the given number, the range is 40 and the midrange is 20. Option C is correct.

Given that,
42, 20, 36, 51, 60, 28,

What is the range?

Range, it is the set of values that come out to an outcome for a certain mathematical operation.

Here,
In the given series least number = 20
Largest number = 60
Range = 60 - 20 = 40

Midrange = 40 / 2 = 20

Thus, For the given number, the range is 40 and the midrange is 20. Option C is correct.

learn more about the range here:
https://brainly.com/question/12239390

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What is the slope of the line through (2,-2)and(9,3)?

Answers

Answer:

5/7

Step-by-step explanation:

y2-y1/x2 -x1

3 - (-2)/9-2

3+2/9-2

5/7

Answer:

M=5/7

Step-by-step explanation:

Hope this helps!! Please consider marking brainliest! Have a good one!!

A family used a professional decorator to help furnish their new home. The decorator selected $1,580 worth of furnishings. The family paid for the furnishings, plus 4.5% tax on the purchases. The decorator’s fee was 12% of the purchases, not including the tax.

Write an equation in the form of y=kx, using x to represent the decorator’s fee. Then use the equation to calculate the amount of that fee.
Please answer ASAP!!!

Answers

Answer:

Can you be more specific, like y is what and k is what because it tells us what x is but not the rest.

Step-by-step explanation:

6. At a game, there were 24 adults and 10 children. Keeping the same ratio,
if there were 50 children, how many adults would be at the game? *

Answers

Answer:

The total number of adults will be: 120 adults

Step-by-step explanation:

Given that there were 24 adults and 10 children in a game.

Thus, adults to children ration = 24:10 or 24/10

If there were 50 children, how many adults would be at the game?

Let 'x' be the number of adults when there 50 children.

so the ration of adults 'x' to 50 childern = x: 50 or x / 50

As the ratio is the same.

Thus,

24 : 10 = x : 50

24/10 = x/50

switching sides

x/50  = 24/10

x  = 24/10 × 50

x = 120 adults

Therefore, the total number of adults will be: 120 adults

Can someone plz help me it is timed ill give Brainliest if it is correct

Answers

Answer:

b

Step-by-step explanation:

I had this exactl question a while ago

please help meeeeeeeeeeeee

Answers

Answer:

x=75

Step-by-step explanation:

The total degrees of a pentagon is 540

120+120+2(75)+75+75

120+120=240

2(75)=150

75+75=150

240+150+150=540

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